THE ANATOMY OF THE CARBON NUMBER

All Sources of Error in an Emissions Figure and the Carbonbench Solutions

CB-M Standard v0.1-draft · Carbonbench Protocol Team · July 2026

This work is the MANUAL leg of three publications derived from the same taxonomy: the Manual (this book), the Audit Protocol (checklist tone) and the CB-M Excel audit spreadsheet. The numbers are identical and permanent across all three.

PREFACE

A Stochastic World Written in a Deterministic Language

The last twenty years of corporate carbon accounting rest upon two great achievements. The GHG Protocol gave the world a common grammar by defining what is to be counted; the ISO 14064 family clothed that grammar in an auditable framework. This book was written not to object to those two achievements, but to open all the way a door they deliberately left ajar.

That door is this: the existing standards — largely for practical and intelligible reasons — treat the numbers that enter the emission calculation as deterministic data. An emission factor sits in a table as a single number: 56,100. An activity datum is read off an invoice as a single number: 1,245,000. The two are multiplied, a precise-looking result is born, and that result — carried to two digits after the decimal separator — passes into audit reports, investment decisions and public comparisons.

Yet, as this book will show again and again in every chapter, none of those numbers is a single number. Every emission factor is a construct built on a limited number of measurement campaigns, variable fuel compositions and heterogeneous technologies, a summary of a distribution — a distribution of which, most often, only the midpoint is shown. Every activity datum carries its own variation, from meter calibration to period shift. And these variations do not vanish along the calculation chain; they proceed along it, multiplying, summing, widening layer by layer. The "exact" figure at the end of the chain is in fact the one that only appears most exact.

What is more troubling is this: of this widening variation we most of the time do not even know the distribution family. By habit we assume a normal distribution; yet processes that advance through the multiplication of positive quantities incline by their nature toward asymmetry — toward lognormal, even heavy-tailed behavior. For items such as agricultural N₂O the uncertainty exceeds ±100%, and a symmetric error model produces intervals pointing to physically impossible negative emissions. A system that ignores uncertainty does not merely err; it also loses the possibility of knowing how it is wrong.

This has two costs, and both are being paid today.

The first is trust. If you give the same company's inventory to five different calculators and get five different totals — and, as this book will show, the difference is measured not in percentages but in multiples — an observer outside the system asks a legitimate question: which of these numbers should I believe, and why? Precision that does not disclose its uncertainty eventually exhausts trust; because sooner or later two "exact" numbers stand side by side and contradict each other.

The second, less noticed but deeper, is standardization itself. In an environment where different emission factors can be found, on legitimate grounds, for the same good, the same service, the same kilowatt-hour, the standard apparently binds everyone to the same rule; in practice it leaves everyone free to choose their own number. Deterministic language paradoxically weakens the unifying force of the standard: because the numbers appear singular, no common framework for explaining the differences — a language able to say "your number deviates from mine by this much, because it was drawn from this end of that distribution" — is ever established.

This book's proposal is not to increase precision; it is to make the precision claim honest. We enumerate one by one every source of variation along the journey of an emissions figure from stack to seal (the CB-M taxonomy), tie the typical magnitude of each to the literature, test its detectability from a publicly available report, and propose for each a deterministic rule — that is, one that yields the same result whoever applies it. What emerges in the end is not a number, but a number together with its honest shadow: the band first, the score second.

Our view of the GHG Protocol and the ISO family is for this reason not critical but complementary. They wrote the grammar of accounting; we propose to measure the noise share of that language — how loudly each sentence may be spoken. That this taxonomy should one day stand beside those standards as an accompanying audit protocol; that an auditor should record a finding as a "CB-M 1.3.1.1 violation" and that software should catch the same finding under the same code, with the same formula — this is the reason this book exists.

Uncertainty is not the weakness of carbon accounting. Undeclared uncertainty is the weakness. This book is a manual of declaring it.

— Carbonbench Protocol Team, July 2026

CHAPTER 1 — EMISSION FACTORS: The Birth, Circulation and Abuse of a Number

Introduction: A Map of the Error Universe and the Architecture of Objections

The most common equation of the corporate carbon inventory is deceptively simple: Emissions = Activity Data × Emission Factor. This chapter takes up the second factor of the equation and works a single thesis: an emission factor is not a constant of nature but the statistical residue of a measurement campaign — but it carries meaning only together with the reference basis, the traceability chain and the uncertainty statement (JCGM 200:2012, VIM; JCGM 100:2008, §0.4). In public reports this triad is almost always broken.

The failure universe is mapped along three axes: birth (1.1 — small sample size and skewness), circulation (1.2–1.6 — database divergence, calorific basis, GWP set, vintage, geographic resolution) and intent (1.7 — freedom of choice under a time-dependent loss function: downward in the reporting year, upward in the base year).

From this edition onward, every subsection is treated in five fixed blocks and objections are bound to a permanent identity discipline: A the current standard position (GHG Corporate Standard rev. ed.; Rev.2 draft direction — as of 2026-07 there is no final text, with the full draft going out for consultation in mid-2026 and the 3rd edition expected at the end of 2027; the ISO 14064 family; and, where relevant, ISAE 3410); B Class-1 objections — those directed at standards and verification regimes (OBJ-GHG, OBJ-ISO, OBJ-ISAE); C the Carbonbench rule derived from the objections; D Class-2 objections — red-team objections addressed to the Carbonbench rule itself (OBJ-CB) and the panel defense; E residual risk. The tone follows the principle of the Preface: an architecture complementary to the GHG Protocol and ISO is proposed; the objections are structural, directed at provisions rather than at institutions. The Carbonbench constraint holds for every rule: all we have are publicly available reports; a central audit instrument, the implied factor (IEF = reported emissions ÷ reported activity), is adapted from the standard test of the UNFCCC inventory reviews [to be verified: procedural document].

The citation regime has been finalized in this edition: Corporate Standard citations are confirmed against the primary source at chapter (Ch.) level — principles Ch.1; base year and recalculation Ch.5 (Tracking Emissions Over Time); the calculation approach and the EF hierarchy are in Ch.6 (Identifying and Calculating GHG Emissions); data quality and uncertainty management in Ch.7 (Managing Inventory Quality); reporting Ch.9; electricity Appendix A. The ISO 14064-1:2018 references are confirmed at clause level — accuracy principle §4.5; data selection §6.2.2; base year §6.4; uncertainty assessment §8.3; treatment of electricity Annex E (normative). Since the clause structure of ISO 14064-3 has not been confirmed in this package, references to 14064-3 remain at a general level. A reality note on the verification regime has been added in this edition: the greater part of the verification market turns not on ISO 14064-3 but on ISAE 3410 (IAASB); as the internal clause structure of ISAE 3410 has likewise not been confirmed in this package, references to it are kept at a general level and the objections are to be read against both regimes.

1.1 The Birth of the Factor: Measurement Campaigns and the Shape of Uncertainty

A. Current Standard Position. The Corporate Standard (rev. ed.) defines the accuracy principle in Ch.1 (GHG Accounting and Reporting Principles): uncertainty is reduced "to the extent practicable"; in the calculation-approach hierarchy of Ch.6 it places facility-specific data above default factors. The management of uncertainty and data quality is addressed in Ch.7 (Managing Inventory Quality). Here an architectural design decision is decisive: the Corporate Standard is a principle standard; quantitative uncertainty discipline is left to calculation tools and to a separate guidance [to be verified: the current reference details of the guidance] — and the tools are optional, so tool-level discipline over the inventory carries no binding force. Mandatory quantitative treatment of uncertainty is an open agenda item in Rev.2. ISO 14064-1:2018 defines accuracy as a principle in §4.5 and requires the assessment of uncertainty in §8.3 (Assessing uncertainty); but it does not prescribe GUM-type propagation. ISO 14064-3 makes uncertainty an input to the materiality assessment but does not fix a threshold ratio [to be verified: clause structure of 14064-3]. The verification picture does not end with 14064-3: the greater part of corporate greenhouse gas disclosures are in fact assured under ISAE 3410 (IAASB) — predominantly at the level of limited assurance; materiality, sampling and assurance practice in the field derive from this regime [to be verified: market distribution of assurance levels]. Since the internal clause structure of ISAE 3410 has not been confirmed in this package, the reference is at a general level; nevertheless every objection this chapter directs at 14064-3 must be read against both regimes.

B. Class-1 Objections. [OBJ-GHG 1.1.1 · Corporate Std. Ch.1 + Ch.7] The Ch.1 accuracy principle does not include a requirement of quantitative propagation; in the absence of the requirement, the EF is in effect treated as a deterministic constant — yet a disclosure without uncertainty is metrologically an incomplete measurement (JCGM 100:2008, §0.4). Evidence: a campaign sample misses the heavy tail — US natural gas CH₄ has been measured ~60% above the official inventory (Brandt et al. 2014; Alvarez et al. 2018). The absence of the requirement produces its effect exactly where the largest error is hidden — at the point where the data-quality framework of Ch.7 is left without quantitative teeth; the "it exists in the tools" defense is therefore insufficient: since tools are discretionary, tool-level discipline need not carry over into the inventory. [OBJ-GHG 1.1.2 · Rev.2 orientation] (To the proposed Rev.2 directions — no final text): if the debate remains at the level of "should a range be reported", the opportunity is missed; the real gap is the center definition and the coverage-factor metadata — in a lognormal population the mean = median × exp(σ²/2) (Limpert et al. 2001), and without a disclosed k the interval scale shifts by a factor of two (GUM Clause 7). [OBJ-ISO 1.1 · ISO 14064-1 §8.3; 14064-3 (general)] The ~5% materiality convention of 14064-3 is constructed independently of inventory uncertainty; in an inventory with ±40% uncertainty it is devoid of metrological meaning — the assessment required by §8.3 is nowhere related to the threshold. Moreover, Type A/Type B is not a "measured/assumed" hierarchy; in GUM Equation (10) they are combined with equal status (§3.3). [OBJ-ISAE 1.1 · ISAE 3410 (general reference)] The same structural gap lives on under the ISAE 3410 regime as well, in some respects more visibly: materiality is determined without being related to inventory uncertainty, and the weight of the market lies with limited assurance; a limited assurance conclusion built on an inventory with ±40% uncertainty conveys to the user an assurance whose metrological content is undefined. The addressee of the objection is not a single standard but the common assumption shared by two verification regimes: there is no procedural link between the threshold and inventory uncertainty.

C. The Carbonbench Rule. K2 stratifies the geometric standard deviation by gas class: for combustion CO₂, σ* ≈ 1.02–1.05 (from the ranges in IPCC 2006 Volume 2, Table 2.2; ~±4% around the natural gas CO₂ default of 56,100 kg CO₂/TJ); for combustion CH₄/N₂O and fugitives, σ* ≈ 2–3 (campaign literature). The rationale for the lognormal family is Limpert (2001). K1 makes a "center definition" metadata field mandatory for every source (a ~27% mean/median difference is not a detection test without knowledge of σ). An unscoped "±X%" is taken as k≈2 and the assumption is written into the metadata. Combination: IPCC Approach 1 at the screening level (Equations 3.1–3.2), JCGM 101 Monte Carlo for flagged items, and Fenton (1960) for lognormal sums.

D. Class-2 Objections and Defense. [OBJ-CB 1.1.1] The IEF is undefined in reports without an activity disclosure — the architecture is blindest to the weakest reports. Panel: accepted — in v1.1 the IEF auditability ratio determines the upper bound of the confidence score; the absence of activity disclosure is itself a K3 flag. Additional panel note: an IEF anomaly on its own cannot distinguish an EF error from an error in the activity data (missing invoice, shift in the facility list, unit error) — in the field the dominant source of error is more often than not AD; this identification problem is recorded in v1.1 as a separate meta-flag. [OBJ-CB 1.1.2] A fixed σ* band penalizes wholesale the honest reporter who measures at Tier 3. Panel: accepted — a verified Tier 2/3 statement narrows σ* (symmetric with the 1.7 credibility rule, v1.1). [OBJ-CB 1.1.3] The assumption k≈2 is not cautious but the reverse: if the interval is in fact k=1, u is under-coded by 50%. Panel: accepted — in v1.1, where undisclosed, a k∈{1,2} envelope is carried; if reduction is mandatory, k=1.

E. Residual risk. In reports that disclose no activity data, the assignment of a gas-class σ* remains an unverifiable Type B assumption; the score ceiling marks the blind spot but does not remove it.

1.2 Differences Between Databases: Same Item, Different Number

A. Current Standard Position. The Corporate Standard requires the factor source to be disclosed (Ch.6 calculation chain; Ch.9 reporting; transparency principle Ch.1); it contains no provision on which database is "correct". ISO 14064-1:2018, §6.2.2 (Data selection and collection) requires factors to be of recognized origin, period-appropriate, consistent and documented; the data selection guidance is expanded in Annex C (informative). Tightening the EF source hierarchy is among the demands voiced for Rev.2; there is no binding orientation — open item.

B. Class-1 Objections. [OBJ-GHG 1.2 · Corporate Std. Ch.6 + Ch.9; Rev.2] The provision "state your source, choose what you like" is a deterministic treatment of data that does not recognize between-source variance (τ²); in the σ²+τ² decomposition of total uncertainty the second term is assumed to be zero. Nor does the Rev.2 tightening of the hierarchy suffice: the hierarchy states which source is to be selected, and still discards the information carried by those not selected. Evidence: envelope differences across multiple databases [to be verified: systematic comparison]; for the methodological-freedom→divergence mechanism, the analogous evidence of Berg, Kölbel & Rigobon (2022). [OBJ-ISO 1.2 · ISO 14064-1 §6.2.2] Documentation is not comparability: when two recognized sources assign values 30% apart to the same item, §6.2.2 prescribes no action; documentation discipline remains unenforced against selection bias. The UNFCCC IEF test [to be verified: procedural document] was created precisely to close this gap at national level.

C. The Carbonbench Rule. K1 constructs a harmonized multi-database envelope (IPCC, DEFRA/DESNZ, EPA, national, Ecoinvent/ADEME); if the IEF lies outside the envelope, a flag. For well-characterized combustion fuels the difference generally lies within IPCC's ±2–5% band; an 8–10% difference in stationary combustion CO₂ alone is directed, as the primary hypothesis, to NCV/GCV confusion, and, with the R-CV test, the composition/boundary hypothesis (biofuel blend, national Tier-2) is invoked concurrently; the rule is not applied to electricity/materials/Scope 3 — there, even after harmonization, differences run to tens of percent. τ² is estimated not from an expert assumption but empirically from the envelope. Institutional note: the IPCC EFDB is not a library of refereed defaults but a contribution-based repository; presenting its records as though they were "IPCC defaults" is the institutionalized form of the failure mode.

D. Class-2 Objections and Defense. [OBJ-CB 1.2.1] The envelope is 3–5 databases; with m<5 the τ² estimate (df=m−1) is itself enormously uncertain — the "empirical" label is false precision. Panel: open item v1.1 — candidate remedy: pooling τ² at item-class level.

E. Residual risk. The envelope itself is not independent of the choice of database: the decision as to which 3–5 sources count as the "legitimate menu" is a repetition, one level up, of the selection problem it audits.

1.3 Calorific Basis and Unit Conditions

A. Current Standard Position. This is the level at which the principle-standard/tool distinction appears most sharply. The architectural decision of the Corporate Standard is to separate the principle standard from the calculation tools: Ch.6 does not regulate the NCV/GCV basis or the volume reference condition at standard level; the stationary combustion calculation tool explicitly handles the HHV/LHV conversion — but since the tools are optional, this tool-level discipline carries no binding force. ISO 14064-1 covers unit consistency through its general data-quality provisions (§6.2.2 data selection; §8.1 information management); ISO 6976 defines reference conditions, but the inventory standard imposes no obligation to refer to it. There is no known direction specific to this topic in Rev.2 — open item.

B. Class-1 Objections. [OBJ-GHG 1.3 · Corporate Std. Ch.6 (the tool/standard distinction)] Two lines of metadata (basis + reference condition) that are handled at instrument level but not made a requirement at standard level produce an error twice the typical materiality threshold: basis confusion is a systematic deviation of ~10% for gas and ~5% for coal/oil (IPCC 2006, Vol. 2, Ch. 1) — in the language of ISO 5725-1 a trueness error; the Nm³/Sm³ difference is ~5.5% (ISO 6976). The "it exists in the tools" defense is inadequate for precisely this reason: a discipline without binding force is not an auditable discipline. Since the Rev.2 agenda likewise contains no orientation specific to the subject, the opportunity is open. [OBJ-ISO 1.3 · ISO 14064-1 §6.2.2 ↔ ISO 6976] While ISO 6976 defines reference conditions rigorously, the failure of 14064-1 to make reference to it obligatory is a disconnect within the family; the provision of §6.2.2, pitched at the general level of "unit consistency", cannot address a two-point, systematic and detectable error.

C. The Carbonbench Rule. HM-1.3a: IPCC defaults are NCV-based; DEFRA publishes both bases and EPA publishes HHV; UK and German gas bills are in kWh-GCV. Detection is indirect: if the implied EF falls to approximately 0.90 times the NCV reference, basis mixing is the primary suspect. HM-1.3b: "m³" alone is meaningless; the Nm³ (0 °C) / Sm³ (15 °C) difference is 288.15/273.15 ≈ 5.5%. Divergence of opinion within the panel (resolved): the first draft's GUM §4.3.7 rectangular assignment (u=a/√3) was rejected by four referees: the basis dilemma is two-point (either NCV or GCV; either Nm³ or Sm³), the standard deviation of the two-point distribution is u=a — a/√3 under-codes the uncertainty by a factor of √3. Nuance: if the candidate conditions number ≥3 (0/15/20 °C, 60 °F) then u ∈ [a/√3, a]; in multi-meter portfolios, a mixture distribution. Final R-CV1/R-CV2: where the basis/conditions are undeclared, the computation stays at K1 and is conducted as two separate scenarios, and the envelope is carried through; where reduction to a single Type B component is required, u=a (≈2.75% in volume); combination by GUM Equation (10), and by the covariance term of Equation (13) in a shared-meter chain.

D. Class-2 Objections and Defense. [OBJ-CB 1.3.1] A company that in fact uses the correct basis but does not disclose it is charged the full deviation; measurement error and non-disclosure are equated — the honest majority is priced with the error of the minority (UK bills in effect fix GCV). Panel: partly accepted — the primary path is already a two-scenario envelope; u=a only under mandatory reduction. A country/sector-prior-weighted P(basis) variant is an open item for v1.1; but if the prior is wrong the bias returns — conservatism is a deliberate choice.

E. Residual risk. The volume reference condition (HM-1.3b) can never be determined directly from a public report; the rule carries only the envelope and cannot locate the error.

1.4 Choice of GWP Set

A. Current Standard Position. The Corporate Standard prescribes conversion with IPCC 100-year GWPs and disclosure of the values used (reporting requirements under Ch.9); the text of the Standard does not fix a particular Assessment Report set [to be verified: the exact location of the GWP provision]. A subsequent policy/guidance note of the GHG Protocol directs that the 100-year GWPs be taken from the most current IPCC Assessment Report (or that a departure be made on regulatory-context grounds) [to be verified: policy note citation]; but this direction is not tied to the Standard text by a binding provision — its enforcement and transition timetable are undefined. ISO 14064-1:2018 requires the use of the most recent IPCC GWPs (or a justified alternative) and the reporting of the source [to be verified: clause number]. Set-updating discipline was raised in the Rev.2 survey; there is no binding draft provision.

B. Class-1 Objections. [OBJ-GHG 1.4 · the context of Corporate Std. Ch.9 + current-set policy note [to be verified: bibliographic details]; Rev.2] Current-set guidance exists, but lacks bindingness: since no enforcement or transition timetable is defined, AR4/AR5/AR6 in effect remain in simultaneous circulation — the CH₄ difference of 25/28/29.8 shifts a line item by 12–19% in a CH₄-heavy inventory; cross-company comparison and the time series break at the same time. Disclosure transparency amounts to transferring the conversion burden to the reader. Evidence: AR6 WG1 Table 7.15; the fossil/biogenic CH₄ distinction alone is a ~10% choice. [OBJ-ISO 1.4 · ISO 14064-1 GWP provision [to be verified: clause]] The "justified alternative" provision lacks an audit procedure and turns set selection into unaudited leverage; the 14064-3 verifier is given no procedure for testing the directionality of the justification — the set difference is of the same order as the materiality threshold (the ~5% convention).

C. The Carbonbench Rule. CH₄ GWP₁₀₀: AR4=25, AR5=28, AR6=29.8 (fossil) / 27.0 (non-fossil); N₂O: 298→265→273. The total Scope 1 effect is typically single-digit, but it breaks trend analysis. The panel's agreement in principle: which set is "correct" is not a scientific question but a contractual one. K1 normalizes all reports to the canonical set (AR6) for comparability — this is not a claim of correctness; the disclosed value is preserved in the metadata, and the difference between sets is carried over in K2 not as a point correction but as a scenario band. If the set is undisclosed, it is back-solved from the gas-level breakdown (K1 recalculates with each set and selects the best fit). Multiplying biogenic CH₄ by the fossil GWP receives a separate error code.

D. Class-2 Objections and Defense. [OBJ-CB 1.4.1] The defense that it is "not an accuracy claim" holds only on paper: the moment the IEF percentile comparison is made over a normalized value, the choice of set leaks into the score; while the back-solution fit is uncertain, an honest company using AR4 may be assigned to the wrong set and flagged. Panel: accepted — in v1.1 the goodness-of-fit metric of back-computation is written into K0; below the threshold a multi-set envelope is carried, and the flag is issued only for non-disclosure of the set, never for the assigned set.

E. Residual risk. If the gas-basis breakdown is likewise not disclosed, back-computation is impossible; set uncertainty remains as a scenario band that does not close in that report.

1.5 Vintage and Temporal Alignment

A. Current Standard Position. Corporate Standard Ch.5 (Tracking Emissions Over Time) makes base-year recalculation mandatory: where a change of methodology/factor is material, the historical series is recalculated; the company defines and discloses the materiality threshold. There is no explicit provision on the currency of a factor; the Scope 2 Guidance counts vintage proximity among its data quality criteria [to be verified: criterion number]. ISO 14064-1 governs the base year in §6.4 (§6.4.1 selection, §6.4.2 review); 14064-3 brings trend disclosures within the scope of verification [to be verified: 14064-3 clause structure]. Time-series consistency is an open agenda item in Rev.2.

B. Class-1 Objections. [OBJ-GHG 1.5 · Corporate Std. Ch.5; Rev.2] Two structural defects: (i) the definition of the recalculation threshold by the reporter itself is circular — in a regime where the party that misses the threshold sets the threshold, a methodological artifact can be reported as performance; (ii) vintage currency is not regulated at all — a three-year lag can inflate location-based Scope 2 by 15–25% on its own. If Rev.2 tightens only recalculation, the opportunity is missed: without a same-vintage residual test, a revision break remains invisible. Evidence: DEFRA/IEA retroactive revision practice; grid drift series [to be verified: country-year]. [OBJ-ISO 1.5 · ISO 14064-1 §6.4; 14064-3 (general)] 14064-3 verifies the trend statement but does not relate the threshold to quantitative uncertainty — the base-year review mechanism of §6.4.2 and the uncertainty assessment of §8.3 are not linked to each other: a series whose uncertainty band is wider than the trend itself can be verified with "reasonable assurance" — statistically meaningless assurance.

C. The Carbonbench Rule. HM-EF-2/1.5.1 (stale factor): the critical case is grid electricity; the market-based figure is largely independent of vintage (scope disclosure mandatory). The drift is not a global constant: the rapid decline in the UK is an artifact of the coal phase-out; in hydro-volatile grids a dry year raises the factor [to be verified: 2021–22 European series]. Divergence of opinion within the panel (resolved): The point correction justified under GUM §3.2.4 (EF_t = EF_t₀·(1+r̂)^(t−t₀)) was rejected — r̂ is not a "recognized effect" but an estimate exposed to break risk; the auditor cannot rewrite the declared measurand (VIM), and it conflicts with the GWP scenario-band principle. Consensus: the disclosed EF_t₀ is not altered; a {EF_t₀, EF_t if published, otherwise a trend projection} scenario envelope is carried; the width is a GUM Type B component; once the actual factor is published the envelope collapses to a single point. Definition of staleness: "most recent published vintage − vintage used" (otherwise a compliant reporter using the most recent eGRID, which is structurally lagged by approximately 2 years, would be flagged automatically). HM-EF-3/1.5-b (revision break): K1 same-vintage recalculation test; since in short series (5–10 years) the Phase I requirement of CUSUM (~20–25 observations; Montgomery) cannot be met, the tool is an I-MR chart + a direction-corrected sign test.

D. Class-2 Objections and Defense. [OBJ-CB 1.5.1] The envelope architecture is open to symmetric abuse: deliberate non-disclosure widens the envelope and every IEF anomaly stays "inside the envelope" — inflating uncertainty becomes a strategic refuge (1.7's own Akerlof logic). Panel: accepted — in v1.1 the envelope width enters the score in K3 as a transparency penalty; disclosure narrows the envelope and is rewarded; the caution↔abuse tension is kept open in the metadata. [OBJ-CB 1.5.2] The staleness cut-off moment was undefined (the audit date would become a retroactive penalty). Panel: accepted — the cut-off = the officially accessible vintage at the close of the reporting period (text correction v1.1).

E. Residual risk. Until the envelope-width penalty is calibrated, honest prudence and strategic blurring carry the same observational signature.

1.6 Geographic Resolution: Grid Hierarchy and Scope 2

A. Current Standard Position. In the Corporate Standard, Appendix A (Accounting for Indirect Emissions from Electricity) frames electricity; the operational detail is in the Scope 2 Guidance (Sotos 2015): dual reporting (location + market) is mandatory; for market-based, the Quality Criteria and, for unclaimed consumption, the residual mix; for location-based, the recommendation of the "most granular grid average available". The inventory side relies on an average factor. This is the only area whose direction is known in Rev.2: the Scope 2 consultation (Oct 20, 2025 – Jan 31, 2026) has opened the future of the market-based method and hourly matching to debate; there is no outcome report and no final text. ISO 14064-1 treats imported energy separately within the indirect emission categories (§5.2.3 indirect emissions, §5.2.4 categories), and the treatment of electricity is governed by Annex E (normative); the location/market distinction is addressed at the level of this annex.

B. Class-1 Objections (Vasquez-Torres). [OBJ-GHG 1.6.1 · Scope 2 Guidance — the use regime in practice + the Rev.2 opportunity] At the provision level, dual reporting is the obligation to carry the two figures together; the Guidance moreover nowhere claims that the Quality Criteria constitute an additionality/causality test — the attributional/consequential distinction is acknowledged in the text and in the accompanying discussions. The addressee of the objection is therefore not the provision itself but a regime of use: in target disclosure, communication and rating practice, Scope 2 is de facto reduced to a single market-based number; although the Quality Criteria secure ownership and double-counting hygiene, they secure no assurance of causality, and an abatement appearance of up to 100% produced with unbundled certificates encounters no binding obstacle within this regime (Brander, Gillenwater & Ascui 2018; Bjørn et al. 2022). The Rev.2/Scope 2 consultation is an open opportunity to bind this regime of use at the level of a provision; the incentive incompatibility does not close unless it is carried to the level of a provision. [OBJ-GHG 1.6.2 · Scope 2 Guidance "recommendation" status] The recommendation status of the phrase "most disaggregated" leaves the use of a national average unviolated even where eGRID is published; the difference between subregions is at the level of a multiple [to be verified: current ratio] (de Chalendar, Taggart & Benson 2019). [OBJ-GHG 1.6.3 · Scope 2 consultation 2025–26] (on the consultation directions — no final text): the focus on hourly matching leaves two structural problems unsolved: the global mandatory publication of the residual mix is not assured (outside Europe the denominator is undefined — the AIB scope limit), and the average/marginal distinction is not written into the inventory definition (Hawkes 2010; Siler-Evans et al. 2012). [OBJ-ISO 1.6.1 · ISO 14064-1 §5.2.3–5.2.4 + Annex E] On the ISO track, reporting by a single method is a conforming disclosure; a report "compliant" with both standards may carry a single, selected number in Scope 2 — the normative status of Annex E does not close this duality. [OBJ-ISO 1.6.2 · ISO 14064-3 (general)] While the geographic aggregation uncertainty of the grid EF can by itself exceed the ~5% threshold, 14064-3 gives the verifier no procedure for relating this uncertainty to the threshold.

C. The Carbonbench Rule. Grid electricity is the line item where a single EF row carries the highest leverage. HM-1.6.1: K1 hierarchy (site PPA > utility-specific > subregional > national > continental); at each step down the hierarchy, a multiplicative (lognormal) widening in K2. HM-1.6.2: K1 completeness rule — the location-based counterpart is filled from the hierarchy under all conditions, and the two figures are carried in separate columns; the confidence score never rests on market-based alone. HM-1.6.3: certificate-free consumption × the average production mix is double counting; the only legitimate denominator is the AIB European Residual Mix — the difference amounts to hundreds of g CO₂/kWh in GO-exporting countries [to be verified: year-based values]. HM-1.6.4: inventory=average, intervention=marginal; mixing is rejected in K0. Gap-fill: no raw Bühlmann–Straub shrinkage is applied (subregions are not exchangeable risks); regression credibility — residuals conditioned on IEA generation-mix shares (Hachemeister 1975 [to be verified: citation]) — only in gap-fill; a hybrid number is never written into the dual-reporting columns.

D. Class-2 Objections and Defense. [OBJ-CB 1.6.1] In many countries no official subregional factor exists; a reporter using the national factor is penalized for a structural impossibility. Panel: accepted — the rule was already intended as "a tier not used although available"; the text is clarified. [OBJ-CB 1.6.2] A company making a genuine investment through a 24/7 matched PPA receives the same location-based score as one that does nothing — an incentive inversion; "taking no side" is de facto an anti-market side. Panel: open item v1.1 — the divergence within the panel is already on record; until the outcome of the Rev.2/Scope 2 consultation becomes clear the score remains location-based, and the merit of the objection is recorded; the candidate solution is a quality-layered market-based side indicator.

E. Residual risk. Tying the score to the monopoly of location-based leaves the real quality differences on the market side (24/7 CFE vs. annual unbundled certificates) invisible; this is a deliberate and temporary taking of sides.

1.7 Deliberate Selection: EF Shopping

A. Current Standard Position. No standard regulates "EF shopping" by name; the lines of defense are indirect: the accuracy/consistency principles (Corporate Std. Ch.1; ISO §4.4–4.5), disclosure of a change of source (Ch.9), and base-year recalculation where material (Ch.5; ISO §6.4.2). The base-year provisions do not recognize the time-dependent nature of the selection incentive: the same latitude can be exercised in opposite directions in the reporting year and in the base year. ISO 14064-1 requires justification in the selection of the quantification approach and model (§6.2.2–6.2.3); 14064-3 has bias tested through materiality but defines no procedure for one-sidedness [to be verified: clause structure of 14064-3]; the same gap holds in the ISAE 3410 regime as well (general reference). Narrowing this latitude of selection is among the headings requested for Rev.2 — there is no draft provision.

B. Class-1 Objections (Okonkwo-Lindqvist). [OBJ-GHG 1.7.1 · Corporate Std. Ch.1 + Ch.6] It does not model the loss function of the selector; that function is not one-sided but time-dependent: a low factor is preferred in the reporting year, but for a company setting a target the preference in the base year reverses — a high base year means cheap abatement; in the SBTi age base-year inflation has become a more widespread game than reporting-year deflation [to be verified: case screening]. Where verification is weak, legitimate freedom within the menu cannot be disciplined by principle-level "accuracy" (Ch.1): it is adverse selection in the sense of Akerlof (1970), and principles do not work against a mechanism (analogous evidence: Berg, Kölbel & Rigobon 2022). [OBJ-GHG 1.7.2 · Corporate Std. Ch.5 + Ch.9] The only sanction is "recalculate if material" (Ch.5), and the threshold is defined by the reporter; there is no procedural test for incentive-incompatible timing of change — a source being changed only in the year in which it moves emissions in the desired direction (downwards in the reporting year, upwards in the base year) [to be verified: 5–15% case scan]. [OBJ-GHG 1.7.3 · Rev.2 orientation] (to the Rev.2 proposed directions): tightening the hierarchy narrows the menu, but it does not define the statistical status of the selected input — an EF selected from a menu will retain the same epistemic weight as an independently verified measurement; credibility theory (Bühlmann 1967; Bühlmann & Gisler 2005) requires that weight be conditioned on data quality. This procedure should be proposed to the Rev.2 consultation. [OBJ-ISO 1.7.1 · ISO 14064-1 §6.2.2–6.2.3] The obligation to give a rationale is a costless disclosure in the face of a time-dependent loss function; when τ² is not disclosed, total uncertainty is systematically under-coded. [OBJ-ISO 1.7.2 · ISO 14064-3 (general); ISAE 3410 (general)] Each is individually immaterial, but a sequence of choices all in the same direction is invisible within an item-by-item materiality framework — yet statistically this is the strongest signal; this blindness is common to both verification regimes.

C. The Carbonbench Rule. The choice of EF is structurally an experience rating problem — but the choice is made not by a neutral actuary but by the reporter, whose loss function is time-dependent. The test design is therefore direction-conditional (v1.1 revision): in reporting years a downward selection is sought, in the base year and in base-year recalculations an upward one; a time-role label (base year / reporting year) is written to K0 for every observation year. HM-1.7a: implied EF × harmonized menu percentile; if the choices always lie at the expected extreme, a one-sidedness flag. The important part is an arbitrage of basis mismatch: at K1, no comparison is made until all candidates have been brought to a common basis (NCV, AR6, same boundary); if the difference closes after harmonization, the difference lies not in the factor but in the basis. HM-1.7b: Divergence of opinion within the panel (resolved): the initial "0.5^k sign test" was rejected for two fatal defects: (i) in a decarbonizing factor universe, honest updates are also downward — P(down|honest) ≫ 0.5; (ii) a single methodological decision moves dozens of items in a correlated manner — the effective k is the number of decisions. Final test: on same-vintage/activity-held-constant recalculation residues, clustered at the level of the methodology decision, a sign test conditioned on the realized direction of the factor series in that year and with the expected deviation direction reversed according to the time-role of the observation year (the upward arm in the base year); intervals are Wilson (1927)/Agresti–Coull (1998). HM-1.7c: market-based masking — met by the 1.6.2 completeness rule. HM-1.7d (software layer): in the field most companies select the software, not the EF (Sphera, Watershed, Persefoni, etc.); this makes the factor assignment the supplier's default [to be verified: market share data]. Two sub-modes: (i) supplier inertia — a stale or contextually inappropriate default is carried for years; (ii) a silent series break upon a change of supplier — the factor library changes wholesale and leaves no trace in a footnote. A software/vendor metadata field and a change-year record are added to K1; the vendor-change year is cross-checked with the I-MR break scan; a coincidence is a "series broken — trend unreliable" flag at K3. Decomposition principle: inertia is direction-neutral, strategic choice is direction-monotone — the signature confusion is resolved by this test. HM-1.7e (base-year inflation): in a company with a target, the base-year recalculation is open to upward selection; detection is by the direction distribution of base-year revisions (systematic upward-weight flag) + revision-rationale metadata; it is tied to the base-year arm of the sign test (v1.1). Credibility rule: in the blend EF* = Z·EF_specific + (1−Z)·EF_collective, Z > 0 only for independently verified (ISO 14064-3 reasonable assurance or the ISAE 3410 equivalent, Tier 2/3 measurement) company-specific data; for an EF selected from the menu, Z = 0 — a strategic input violates conditional unbiasedness; importing bias into the score is prohibited.

D. Class-2 Objections and Defense. [OBJ-CB 1.7.1] The effective n is the number of decisions; a typical report contains 2–4 decisions, and at n<5 the power of the test is close to zero — Wilson/Agresti–Coull intervals cover (0,1) at n=3; the rule produces false assurance. Panel: accepted — v1.1: the statistical test only where n≥8; below that a qualitative "direction monotonicity" note, with no score effect. [OBJ-CB 1.7.2] The Z=0 rule crushes into the collective an SME that has a specific EF based on real measurement but cannot meet reasonable assurance — it is structurally biased in favor of the large company, and it discards good data. Panel: partly accepted — the risk of strategic choice exists in SMEs as well; a graduated Z (raw measurement report, calibration certificate = partial evidence) is an open item for v1.1, with evidence limited to the verifiable document class.

E. Residual risk. In reports with few decisions (n<8) one-sidedness cannot be captured statistically, and software-layer inertia and strategic choice carry the same observational signature when the direction test does not run; the most common case on the intent axis lives in the region where the rule's power is lowest.

End of Chapter

Combined Error Budget (in order of impact)

OBJECTION INDEX

Carbonbench Defense Summary (rule → layer)

• K0: rejection of average≠marginal; GWP set, center definition, coverage factor, EF source/vintage metadata fields; time-role label (base year / reporting year); back-computation goodness-of-fit metric; IEF coverage ratio (score ceiling) + EF/AD identity metadata flag.
• K1: R-CV1/R-CV2 scenario envelopes (two-point, u=a); harmonization to a common basis (NCV, AR6, same boundary); EF and geography hierarchies (penalty only for a tier that is available but not used); location-based completeness; residual mix requirement; same-vintage recalculation; software/vendor metadata field and record of the year of change; staleness = relative to the most recent vintage accessible at the close of the reporting period.
• K2: gas-class lognormal σ* (conditional on Tier); Type B conversion of the vintage/GWP/basis envelopes; the k∈{1,2} envelope; GUM Equations (10)/(13); Approach 1 → JCGM 101 Monte Carlo; the Fenton sum; empirical τ² (the small-m correction an open item).
• K3: IEF percentile flag; direction-conditional (with reversed sign on the base-year arm), sign test clustered at the level of the methodology decision (n≥8); direction-distribution screening of base-year revisions; I-MR screening + supplier-change × I-MR coincidence flag; envelope-width transparency penalty; credibility (Z=0 to the selected EF; regression credibility only in gap-fill); "trend unreliable" label.

BIBLIOGRAPHY

Verified sources

• Agresti, A. & Coull, B.A. (1998). "Approximate is Better than 'Exact' for Interval Estimation of Binomial Proportions", The American Statistician 52(2).
• AIAG. Measurement Systems Analysis Reference Manual, 4th edition.
• AIB. European Residual Mix reports (annual).
• Akerlof, G.A. (1970). "The Market for 'Lemons'", Quarterly Journal of Economics 84(3).
• Alvarez, R.A. et al. (2018). "Assessment of methane emissions from the U.S. oil and gas supply chain", Science 361.
• Angelopoulos, A.N. & Bates, S. (2023). "Conformal Prediction: A Gentle Introduction", Foundations and Trends in Machine Learning.
• Berg, F., Kölbel, J.F. & Rigobon, R. (2022). "Aggregate Confusion: The Divergence of ESG Ratings", Review of Finance 26(6).
• Bjørn, A. et al. (2022). "Renewable energy certificates threaten the integrity of corporate science-based targets", Nature Climate Change.
• Brander, M., Gillenwater, M. & Ascui, F. (2018). "Creative accounting: A critical perspective on the market-based method for reporting purchased electricity (scope 2) emissions", Energy Policy.
• Brandt, A.R. et al. (2014). "Methane leaks from North American natural gas systems", Science 343.
• Bühlmann, H. (1967). "Experience Rating and Credibility", ASTIN Bulletin 4(3).
• Bühlmann, H. & Gisler, A. (2005). A Course in Credibility Theory and its Applications, Springer (in particular Ch. 4).
• Ciroth, A. et al. (2016). "Empirically based uncertainty factors for the pedigree matrix in ecoinvent", International Journal of Life Cycle Assessment.
• de Chalendar, J.A., Taggart, J. & Benson, S.M. (2019). "Tracking emissions in the US electricity system", PNAS.
• EPA. AP-42: Compilation of Air Pollutant Emission Factors, 5th edition (quality grades A–E); eGRID Technical Guidance (annual).
• Fenton, L.F. (1960). "The Sum of Log-Normal Probability Distributions in Scatter Transmission Systems", IRE Transactions on Communications Systems 8(1).
• GHG Protocol (WRI/WBCSD). Corporate Accounting and Reporting Standard (rev. ed.) — chapter structure confirmed from the primary source: Ch.1 (principles), Ch.5 (Tracking Emissions Over Time: base year + recalculation), Ch.6 (Identifying and Calculating GHG Emissions: calculation approach/EF hierarchy), Ch.7 (Managing Inventory Quality: data quality + uncertainty), Ch.9 (Reporting), Ch.10 (Verification), Appendix A (electricity); Sotos, M. (2015), GHG Protocol Scope 2 Guidance; the Corporate Standard Rev.2 process — the public consultation timetable (full draft mid-2026; Scope 2 Guidance consultation Oct 20, 2025 – Jan 31, 2026).
• Guo, C., Pleiss, G., Sun, Y. & Weinberger, K.Q. (2017). "On Calibration of Modern Neural Networks", ICML.
• Hawkes, A.D. (2010). "Estimating marginal CO2 emissions rates for national electricity systems", Energy Policy.
• IAASB. ISAE 3410: Assurance Engagements on Greenhouse Gas Statements — general reference; the internal clause structure was not confirmed in this package.
• IEA. Emissions Factors annual data sets.
• IPCC (2006). 2006 IPCC Guidelines: Vol. 1, Ch. 3 (Uncertainties; Equations 3.1–3.2), Ch. 5–6; Vol. 2, Ch. 1 (NCV/GCV), Ch. 2, Table 2.2.
• IPCC (2007) AR4; (2013) AR5; (2021) AR6 WG1, Ch. 7, Table 7.15.
• IPCC Emission Factor Database (EFDB) — statement of responsibility for use.
• ISO 5725-1; ISO 6976; ISO 14064-3.
• ISO 14064-1:2018 — clause structure confirmed from the official preview: §4 principles (§4.5 accuracy), §5.1–5.2 boundaries (§5.2.3 indirect, §5.2.4 categories), §6.2 quantification approach (§6.2.2 selection and collection of data, §6.2.3 quantification model), §6.4 base year (§6.4.1 selection, §6.4.2 review), §8 inventory quality management (§8.3 uncertainty assessment), §9.3 report content, Annex C (informative, data selection), Annex D (normative, biogenic), Annex E (normative, electricity), Annex H (informative, significant indirect emissions).
• JCGM 100:2008 (GUM), in particular §0.4, §3.2.4, §3.3, §4.2–4.3, §4.3.7, Equation (10), (13), Clause 7; JCGM 101:2008 (Monte Carlo); JCGM 200:2012 (VIM, 3rd ed.).
• Klugman, S., Panjer, H. & Willmot, G. Loss Models: From Data to Decisions, Wiley.
• Limpert, E., Stahel, W.A. & Abbt, M. (2001). "Log-normal Distributions across the Sciences", BioScience 51(5).
• Montgomery, D.C. Introduction to Statistical Quality Control, Wiley.
• Siler-Evans, K., Azevedo, I.L. & Morgan, M.G. (2012). "Marginal emissions factors for the U.S. electricity system", Environmental Science & Technology.
• UK DEFRA/BEIS/DESNZ. UK Government GHG Conversion Factors for Company Reporting (annual; Gross/Net CV columns).
• Vovk, V., Gammerman, A. & Shafer, G. Algorithmic Learning in a Random World, Springer.
• Weidema, B.P. & Wesnæs, M.S. (1996). "Data quality management for life cycle inventories", Journal of Cleaner Production 4(3-4).
• Wilson, E.B. (1927). "Probable Inference, the Law of Succession, and Statistical Inference", JASA 22(158).

Sources and claims labeled [to be verified]

• Current citation of the GHG Protocol uncertainty guidance
• Citation and date of the policy/guidance note carrying the GHG Protocol current-GWP-set direction
• The exact location of the Corporate Standard GWP provision (chapter/page) — the chapter structure is confirmed, the location of the provision is not
• The clause number of the ISO 14064-1:2018 GWP provision
• ISO 14064-3 clause structure (materiality, bias testing, assurance levels — not confirmed in this package)
• ISAE 3410 internal clause structure; the share of ISAE 3410 / ISO 14064-3 in the greenhouse gas assurance market and the distribution of limited/reasonable assurance
• The number of the vintage criterion among the Scope 2 Guidance data quality criteria
• The current section number of the Gross/Net CV distinction in the DEFRA/DESNZ methodology document
• The procedural document/full bibliographic details of the IEF outlier test in UNFCCC inventory reviews
• Item-level distribution of differences between databases — a systematic comparison study
• 5–15% of "paper reduction" through a change of EF source — case screening
• Prevalence of base-year inflation — a case screen of the directionality of base-year recalculation at companies with SBTi targets; identification of the SBTi base-year recalculation/validation rules
• Market share of the carbon accounting software layer (Sphera/Watershed/Persefoni, etc.); case evidence of a series break caused by the factor library upon a change of supplier
• The current exact rate of eGRID subregion variation and the publication cycle
• The ten-year rate of decline of the UK grid factor — DESNZ series values
• The exact subclause number of the NCV/GCV 5%/10% statement in IPCC 2006 Volume 2 Chapter 1; the table numbers of the combustion EF uncertainties
• AIB residual mix — exact values by year (e.g. Norway)
• IEA country-level annual grid-EF drift distribution; country-year series of the 2021–22 European factor increase
• Gerber & Jones type recursive/updating credibility record
• The full citation for Hachemeister (1975) regression credibility; the relevant chapter number of Bühlmann & Gisler (2005)
• Tibshirani, Barber, Candès & Ramdas (2019), NeurIPS — weighted conformal under covariate shift
• Frey & Zheng (2002), variability/uncertainty in AP-42 factors, JAWMA

CHAPTER 2 — ACTIVITY DATA

(v1.1 — the Vandermeer major revision has been incorporated; the changed passages are coded in the relevant D blocks and in the Objection Index.)

Introduction: The Map of the Error Universe

A corporate emissions figure is the result of the product E = AD × EF; the subject of this chapter is the AD (activity data) leg of that product. Activity data are never a "raw number": every AD value comes from a measurement system (a meter), a period cut (the invoice cycle), a conversion chain (m³→kWh→tonne), and increasingly from the software layer (a carbon-accounting platform; see 2.2.4); passing through a scope decision (which facilities, which sources), it reaches the report. By the VIM definition, a measurement result is incomplete without metrological traceability (JCGM 200:2012, item 2.41) and a statement of uncertainty; yet in the public report no link of this chain is visible — the only thing visible is the result of the multiplication.

Carbonbench's fundamental constraint arises here: all we have are public reports; activity data does not exist unless it is voluntarily provided. This requires two distinct situations to be kept scrupulously apart: AD-absence (the report gives no breakdown) and AD-incorrectness (the breakdown given is erroneous). Back-computation of the implied emission factor (IEF) is the central tool; but while a band violation demonstrates incorrectness, remaining within the band does not demonstrate correctness — the ISO 14064-1 §4.5 accuracy principle can be tested only one-sidedly with public data.

Universe caveat (Vandermeer correction, accepted by the panel): All findings of the form "there is no disclosure requirement" in this section hold within an explicitly bounded normative universe: GHG Protocol (Corporate Standard, Scope 2 Guidance, Scope 3 Standard) + ISO 14064-1:2018. Outside this universe there are mandatory regimes that touch AD disclosure, and the findings cannot be generalized to them: ESRS E1-5 makes disclosure of energy consumption and mix mandatory (Commission Delegated Regulation (EU) 2023/2772, ESRS E1); IFRS S2 (ISSB 2023) and its TSRS counterpart, together with CBAM (Regulation (EU) 2023/956), impose obligations that touch AD. For reporters covered by these regimes, some of the Class-1 objections below may in effect be closed; the objection architecture of this book addresses only the voluntary-standard universe.

Conditional loss hypothesis (Vandermeer correction): The time dependence of the loss function — a preference for a low result in the reporting year, the reverse direction in the base year (base-year inflation) — is not an axiom but a conditional hypothesis: this incentive structure is expected only in a target-committed (SBTi-type) reporter; in a reporter without targets, or one subject to a carbon cost (tax/ETS), the direction may reverse. All direction-conditional tests in this chapter are conditioned on this hypothesis and impute no intent: the majority of field errors originate from ERP/data transfer/capability; the signals test consistency, they do not read intent.

The failure universe is mapped in five sets: primary measurement (2.1), the unit/conversion and software layer (2.2), estimation/extrapolation (2.3), coverage (2.4), period alignment (2.5); 2.6 is the blindness analysis of how these failures can be detected under the condition of AD-absence.

Chapter-head limitation caveat (panel consensus): All control-chart tools proposed in this chapter for annual series (Shewhart/CUSUM/EWMA/I-MR; Montgomery, SQC) operate far below the ~20–25 subgroups required for Phase-I parameter estimation (typically 5–10 years of observations); in charts with estimated parameters the false-alarm rate deviates seriously from the nominal [to be verified: Jensen, Jones-Farmer, Champ & Woodall 2006, JQT; Jones, Champ & Rigdon 2001, Technometrics]. For this reason all SPC-based rules carry K3 "query trigger — false-alarm rate not calibrated, exploratory" status; signal status can be attained only through partial pooling in a sector-peer panel (Gelman et al., BDA) [open item v1.1: panel calibration].

2.1 Primary Measurement

2.1.1 Meter calibration/drift

A. Current standard position. GHG Protocol Corporate Standard Ch.7 positions inventory quality as a management instrument; ISO 14064-1:2018 §4.5 establishes the accuracy principle and §8.3 requires an uncertainty assessment. In no regime is there a binding requirement for measuring-instrument traceability (the ISO 17025 chain); the auditor under ISAE 3410 tests the measurement system only where materiality requires it (general reference). No known proposal on this matter exists in the Rev.2 orientations.

B. Class-1 objections. [OBJ-GHG CB-M 2.1.1 · Ch.7] The absence of a traceability requirement has the consequence that a GUM-compliant Type B component (JCGM 100:2008) remains underivable; because of the principle-standard/instrument distinction, instrument-level metrological discipline carries no binding force. [OBJ-ISO CB-M 2.1.1 · §4.5, §8.3] The absence of a quantitative threshold bridging the accuracy principle and the uncertainty assessment; the calibration-period requirement lacks bindingness.

C. The Carbonbench rule (K3). Drift (JCGM 200:2012, 4.21) is not sought in the IEF — in a report produced as E = AD×EF, IEF ≡ EF, so the IEF is drift-invariant (panel correction, box below). The signal is sought in the intensity series, where the denominator has an independent driver (E/production, E/m²): EWMA zₜ = λ·xₜ + (1−λ)·zₜ₋₁, λ≈0.2; a one-sided shift + the absence of a calibration disclosure → the query "metrological traceability not disclosed". Failure mode: direction uncertain/facility-specific systematic · magnitude of percentage order [to be verified: OIML R137 MPE] · K3 exploratory. Audit test: a calibration certificate covering the reporting period + the ISO 17025 traceability chain, in a single document.

D. Class-2 objections and defense. Two objections have been accepted: (i) the IEF-based drift test is algebraically vacuous (Ben-Ami) → the test was moved to intensity; (ii) EWMA cannot generate a signal at small n (five reviewers) → it was demoted to K3. Reinholt's intensity-based construction is preserved unaffected by the objection.

E. Residual risk. Drift that remains within the band cannot be detected until voluntary data (2.6.3) arrives.

Divergence of opinion within the panel (RESOLVED) — the drift-invariance of the IEF. Halvorsen and Demirtaş-Whitfield had built drift detection on the IEF series; Ben-Ami showed that where E = AD×EF the back-computation of the IEF returns EF identically and that drift carries numerator and denominator together. Both authors accepted the correction; the v1.1 text moves all drift tests onto intensity series. Reinholt's design, intensity-based from the outset, was deemed vindicated.

2.1.2 Billing-period shifts

A. GHG Corporate Std Ch.5 requires base-year consistency but does not define a period cut-off method; the Scope 2 Guidance (Sotos 2015) contains a temporal-proximity principle among its quality criteria but no quantitative threshold [to be verified: clause number]; ISO 14064-1 §6.4 governs the base year.

B. [OBJ-GHG CB-M 2.1.2 · Ch.5] The fact that the base-year recalculation threshold is entity-defined allows period-shift errors to accumulate below the threshold; since in a target-committed reporter the loss function reverses direction in the base year (conditional hypothesis, Introduction), the requirement can become incentive-incompatible. It should be carried into the proposed Rev.2 orientations; there is no final text.

C. (K0) Under a day-weighted apportionment assumption, the maximum shift band is e_max = (number of non-overlapping days / days in the period) × annual consumption; where e_max exceeds the base-year difference there is a finding. It is applied direction-conditionally: undercounting in the reporting year and overcounting in the base year are tested separately. Uniform-load reservation (Vandermeer correction): day-weighted apportionment is an implicit uniform-load assumption; under seasonal load (e.g. gas used for heating) the true shift may exceed the e_max band — the band must be widened by a seasonal profile multiplier [open item v1.1: seasonal profile multiplier]. Failure mode: bidirectional · ± a few weeks of consumption · K0 (assuming uniform load). Audit test: match the start-end dates of the first/last invoice against the period boundaries; is the pro-rata cut-off written down?

D. The first draft's characterization "distribution-free" was dropped following Vandermeer's objection (V-8): the deterministic band carries a uniform-load assumption; the caveat was written into block C.

E. The typical magnitude of the seasonality-shift interaction requires an empirical source [to be verified: sectoral shift magnitude].

2.1.3 Estimated invoice (period without a reading)

A. In the language of ISO 5725 the problem lies not in repeatability but in the trueness component; GHG Ch.7 requires quality management; in ISAE 3410 limited assurance engagements, site visits, recalculation and source-document sampling are, alongside analytical procedures, routine in practice (general reference; internal clause structure unconfirmed) — with the Vandermeer correction, the fiction of the "auditor confined to analytics" has been abandoned.

B. [OBJ-ISAE CB-M 2.1.3] (Narrowed — Vandermeer correction.) Although source-document sampling is routine in limited assurance, a test descending to the reading-type (actual/estimated) distinction is not required by the standard; the scope remains dependent on auditor judgment and materiality — a digit error may go undetected in this judgment gap. The claim is conditioned with the label [to be verified: ISAE 3410 procedural provisions]; no functional load is placed on an unconfirmed internal clause.

C. (K3; downgraded from K2) CUSUM step test C_t⁺ = max(0, xₜ − (μ₀+k) + C_{t−1}⁺); threshold exceedance + absence of an "estimated read" statement → an input to query prioritization (not a data-quality ruling). Coincidence with restatement footnotes is a corroborating signal. Failure mode: within-year smoothing + a step in the correction year · K3 exploratory. Audit test: in an invoice sample, confirm the reading type from the supplier record; report the estimated-reading rate.

D. The small-n objection accepted (chapter-head caveat); self-starting CUSUM (Hawkins & Olwell 1998) is an alternative skeleton, but at n≤10 it too cannot state power. Vandermeer's ISAE-caricature objection accepted → the A/B blocks were narrowed.

E. If the estimated-read share is not disclosed, a digit error becomes visible only in a restatement.

2.1.4 Meter coverage (sub-tenant, common area)

A. GHG Corporate Std Ch.3–4 governs the organizational/operational boundary and App.A electricity accounting; leased assets fall under Scope 3 categories 8/13; ISO 14064-1 §5.1–5.2 governs boundaries and Annex E governs electricity NORMATIVELY. In neither regime is there a requirement to declare tenant-level sub-metering or the allocation method.

B. [OBJ-GHG CB-M 2.1.4 · Ch.4 + App.A] The absence of a requirement to disclose the allocation method structurally pushes tenant reports into the derived-data regime (intersection with 2.3.2).

C. (K3 + K2) If the intensity ratio r = E/m² lies outside the building-type benchmark band and the leasing structure is unclear, the finding "meter–boundary mapping not disclosed" [to be verified: CBECS/comparable benchmark source]. Where the lease portfolio is disclosed but the allocation method is not, a multiplier w = 0.7 is applied to the Scope 2 AD confidence score [open item v1.1: calibration of the multiplier]. Failure mode: bidirectional (double counting/under-counting) · tens of percent per site [to be verified] · K2–K3. Audit test: trace end-to-end the chain main meter → allocation key → tenant MWh at one leased facility.

D. No objection has been received; w = 0.7 is an open item as an uncalibrated constant.

E. The direction of the error depends on the portfolio and cannot be decomposed from a public report.

2.2 Units and Conversions

2.2.1 The m³/kWh/tonne/liter chain (GCV/NCV and reference conditions)

A. For natural gas E = V × volume correction factor × calorific value; calorific value/density is computed from the composition using ISO 6976. IPCC 2006 Vol.2 Ch.1 gives the GCV/NCV difference as ~10% for gas and ~5% for solids/liquids; the IPCC default EFs are NCV-based (natural gas 56,100 kg CO₂/TJ, Vol.2 Ch.2 Table 2.2), whereas invoices are GCV-based in many markets. GHG Ch.6 governs the calculation approach; the EF selection hierarchy, however, is at guidance level and appears mainly in the Scope 2 / Scope 3 guidance documents (Vandermeer correction: Ch.6 is not burdened with "establishes a hierarchy"); ISO 14064-1 §6.2.2 governs data selection, Annex C is informative.

B. [OBJ-GHG CB-M 2.2.1 · Ch.6] (Revised.) The absence of a requirement to disclose the calorific basis (GCV/NCV); while a hierarchy exists even at guidance level for EF selection, there is no hierarchy even at that level for conversion parameters (NCV, reference conditions) — the most volatile link in the calculation is wholly devoid of tool-level discipline. [OBJ-ISO CB-M 2.2.1 · §6.2.2, §9.3 + Annex C] The same disclosure requirement is likewise absent from the report content; the choice of basis remains in an informative annex. It can be carried into the Rev.2 consultation at the level of a "proposed orientation"; there is no final text.

C. (K0/K1) Corrected direction (panel box): since AD_GCV ≈ 1.10 × AD_NCV, AD_GCV × EF_NCV ≈ 1.10 × E_true → a systematic over-disclosure of ~10%; an omitted disclosure is visible only in the reverse match. Where basis confusion is present, the back-computed IEF deviates downward: IEF = E/AD_GCV ≈ EF_NCV/1.10; the physical band is [EF_NCV/1.11 ; EF_NCV·(1+u)] (u: a small measurement tolerance), and the test is constructed one-sided downward; a violation is the "hypothesis of a calorific-basis mismatch" — it imputes no cause, it triggers a query. The reference-condition difference (0 °C/15 °C, ~5.5% = 288.15/273.15) is a theoretical maximum; the volume-correction factor, where applied in the chain, is rarely carried through to the report. Direction-conditional note: since over-disclosure appears adverse in the reporting year, the pressure to correct is low; the incentive-incompatible case is the protection of the excess in the base year — only for a reporter with a committed target (the conditional hypothesis in the Introduction). Failure mode: single-signed systematic · ~10% (gas) · K0. Audit test: confirm the basis (GCV/NCV) of the invoiced kWh from the supply contract and require a single-line statement that it matches the basis of the EF table.

D. The sign error and the band direction were corrected (box); the phrase "5.5% typical effect" was replaced with "theoretical maximum" (Okonkwo-Lindqvist OBJ-2 partly accepted). Vandermeer V-3 accepted: the Ch.6 hierarchy reading was lowered to guidance level; the objection was restated accordingly.

E. The compensating case in which two errors cancel out (wrong basis × wrong EF basis) is a blind spot in the public report.

Divergence within the panel (RESOLVED) — GCV/NCV sign error. Demirtaş-Whitfield's first text presented the GCV-AD × NCV-EF pairing as "under-disclosure"; five referees (Halvorsen REF-1, Marumo REFEREE-1, Reinholt R-1, Ben-Ami Obj.2, Vasquez-Torres V-1) showed the opposite algebraically and the author accepted this by self-correction: the correct direction is ~10% over-disclosure. Furthermore Reinholt R-2 corrected the direction of Halvorsen's band formula (the band was constructed downward); the "[to be verified: GCV/NCV ratio]" label was dropped — the value is given in the primary source (IPCC Vol.2 Ch.1).

2.2.2 Density/occupancy assumption

A. The liter→tonne conversion requires a density assumption; liquid fuel density varies with product specification and temperature; the IPCC 2006 Vol.2 defaults are average characterizations and Vol.1 Ch.3 (Frey) provides for uncertainty ranges to be assigned to them.

B. [OBJ-GHG CB-M 2.2.2 · Ch.6] The absence of a disclosure requirement for the source of the intensity value (supplier certificate/default) — this is a continuation of the conversion-parameter gap in 2.2.1.

C. (K1/K2) Band test IEF_litre ∈ [ρ_min×EF_mass, ρ_max×EF_mass] [to be verified: EN 590 density range]; if liters and tonnes are disclosed together, the back-calculation ρ_implied = m_disclosed/V_disclosed, flagged if outside the physical band. Uncertainty composition: the multiplicative error of a single conversion chain is additive in log space → lognormal (Limpert 2001); the inventory total line is the sum of lognormal items → the Fenton–Wilkinson approximation (Fenton 1960). Failure mode: may become systematic at ±1–2% · K1–K2. Audit test: ask for the source of the intensity (a certificate of analysis or a default).

D. Ben-Ami Obj.3 deemed the Fenton reference "decorative"; Halvorsen's defense was accepted: Limpert is for the single chain, Fenton for the sum line — the reference is attached to the correct mechanism, and the text was clarified with this distinction (resolved).

E. A deviation that is partly averaged out across the fleet becomes systematic in the single-supplier case and remains invisible within the band.

2.2.3 Thousands-separator and scale (10³/10⁶) errors

A. This is not a measurement error but a data-transfer error; with its 10³ multiplier its effect is the largest of all failure modes. GHG Ch.7 inventory quality does not require a deterministic reconciliation test for unit consistency; the analytical procedures of ISAE 3410 are apt to catch this class (general reference) [to be verified: relevant paragraph].

B. [OBJ-GHG CB-M 2.2.3 · Ch.7] The absence of a deterministic reconciliation requirement is a gap devolved to the assurance regime.

C. (K0) The primary test is the integer-proximity design (extended set): |log₁₀(IEF/IEF_ref) − n| < 0.05, n ∈ {±1, ±2, ±3, ±6} → "scale error" flag; in addition, the inter-year ratio test Eₜ/Eₜ₋₁ ∈ {~1000, ~0.001} → series break. Marumo's log-distance statistic |log₁₀(intensity/median)| ≥ 1.5 has been removed from flag status and demoted to a K3 coarse-anomaly ranking input; the Limpert 2001 reference is retained only in the context of the log-normal base distribution. Failure mode: discrete (10ⁿ) · the largest class · K0. Audit test: have the total line recalculated with two independent subtotals; trace the raw value of one sample source, with its unit, all the way to consolidation.

D. The threshold objections (Reinholt R-5: a single step escapes; Ben-Ami Obj.4: a threshold does not target a discrete signature) were accepted by Marumo; the rule was transferred to the Halvorsen design with an extended n-set (resolved).

E. If the reference IEF is itself wrong, the integer-proximity test calibrates to a wrong reference.

2.2.4 Software-layer defaults (platform conversions)

A. Activity data today mostly passes through a carbon-accounting platform (of the Sphera/Watershed/Persefoni class); unit conversion, the GCV/NCV basis and EF mapping are made silently in the software default — the company most often chooses the software, not the EF. GHG Ch.6–7 and ISO 14064-1 §6.2.3 govern the quantification model but are tool-agnostic; no regime imposes a disclosure requirement for platform identity, version or default set. Vendor inertia and the silent series break on vendor change constitute a separate failure mode.

B. [OBJ-GHG CB-M 2.2.4 · Ch.6–7] The absence of a disclosure requirement for the calculation platform's identity/version/default EF library vintage and the calorific-value basis; although it is clear that a platform change would count as a Ch.5 recalculation trigger (method change), whether a silent default update within the platform falls under this trigger is not addressed. [OBJ-ISO CB-M 2.2.4 · §6.2.3, §9.3] The tool-level identity of the quantification model is not tied to report content.

C. (K1/K3) IEF series-break test for the year in which the platform/method disclosure changes (K1): if ΔIEF/IEF jumps without a concurrent physical explanation (fuel mix, scope), a "platform-transition hypothesis" query; where there is no disclosure at all, the label "calculation platform not disclosed" + the composite application of tests 2.2.1–2.2.3 (K3). Failure mode: discrete series break; direction depends on the platform default · K1–K3. Audit test: which platform, which version, which EF-library vintage, which GCV/NCV default — a single line; on a platform change, a one-year dual-calculation bridge.

D. The leaf was added on Vandermeer's proposal (V-5) and has not been through a panel round; all of its thresholds are uncalibrated [open item v1.1: panel round and calibration of the platform-migration test].

E. A silent in-platform default update (version change) appears in no public signal.

2.3 Estimation and Extrapolation

2.3.1 Proportional estimation of a missing facility

A. ISO 14064-1 §6.2.3 counts the model as a quantification component; GHG Ch.6 leaves the calculation approach to the reporter; gap-fill techniques are in IPCC 2006 Vol.1 Ch.5 and uncertainty combination in Vol.1 Ch.3.

B. [OBJ-ISO CB-M 2.3.1 · §6.2.2 + Annex C] That the data-selection hierarchy remains in an informative annex does not confer tool-level binding force on the §4.5 accuracy principle; the flexibility of §8.3 leaves the variance of a proportional estimate outside the reporting obligation.

C. (K2) The ratio estimator (AD/m², AD/FTE) systematically shrinks variance under inter-facility heterogeneity; when imputed values enter the total without a variance correction, the series appears "smoother than it is" (Rubin 1987 — imputation-variance combining rules; the MAR assumption holds for facility missingness and cannot be extended to strategic non-disclosure). Public detection (revised): the company-level annual intensity CV falling into the lower tail of the sector peer distribution (over-smoothing); the facility-level variance test is defined only at the voluntary-data step (2.6.3). Uncertainty expansion u_total² = u_meas² + p_est²·u_model²; if p is not disclosed, the conservative default p = 0.3 [open item v1.1: deriving the cap from the upper percentile of the empirical p distribution of reporters that disclose coverage]. Bühlmann blend Z = n/(n+k): in v1.0 only the Z cap of 0.5 is applied; estimation of k = s²/τ² depends on the voluntary-data condition [open item v1.1]. Failure mode: over-smoothing, under-disclosure of variance · K2. Audit test: the share of facilities filled by estimation + the retrospective deviation from actual readings, in a single table.

D. The violation of Constraint-4 (four referees) accepted → reduced to company level; the non-estimability of k (Marumo H-3) accepted → open item; the Rubin/MAR objection (Okonkwo-Lindqvist Obj.3) partly refuted: the incompleteness of 2.3.1 is operational, it is not the MNAR of 2.4.3.

E. The over-smoothness signal cannot distinguish a genuinely stable operation from a flattening of estimates.

2.3.2 Derivation on a floor-area/employee/expenditure basis

A. GHG Ch.6 leaves the choice of approach free; Ch.5, among its base-year recalculation triggers and alongside structural changes, expressly enumerates a change of calculation method and an improvement in data accuracy (Vandermeer correction); the Scope 3 Standard permits a hybrid approach.

B. [OBJ-GHG CB-M 2.3.2 · Ch.5] (Narrowed — Vandermeer correction; the first draft's reading, "it is unclear whether it counts as a trigger", was incorrect and has been withdrawn.) The remaining gap lies at two points: (i) the recalculation materiality threshold being company-defined, and (ii) the absence of a disclosure requirement for the quantitative share and directional effect of a change of proxy model. Interaction with the direction-conditional incentive is expected only for a target-committed reporter (Introduction). ISAE 3410's provisions specific to estimate-based items [to be verified].

C. (K2, direction-conditional) The proxy-AD relationship carries multiplicative error on the log scale; the error is right-skewed (Limpert 2001; on aggregation, Fenton 1960) — the point estimate yields the median, while the mean lies systematically above it. Direction condition (subject to the conditional hypothesis): the stress-test point is the upper percentile of the estimate band for the base year and the lower percentile for the reporting year. Prescreening (revised): the correlation test is constructed not on levels but on the difference series (if Δlog E vs Δlog proxy ≈ 1, a physical AD signal is probably absent); it is not a flag on its own. Failure mode: right-skewed, direction-conditional · K2. Audit test: the log-scale residual distribution and the reported percentile for proxy-derived items.

D. Marumo H-4's spurious-correlation objection accepted → revised to a difference series; the rule has pre-screening rather than flag status. Vandermeer V-1 (the most serious finding) accepted → block B was narrowed; the misreading of the standard was withdrawn.

E. If the proxy coefficient is itself biased across the sector, the test is blind.

2.3.3 Non-disclosure of the spend-based fallback

A. The Scope 3 Standard defines a data hierarchy and the reporting section makes the identification of methods and data sources mandatory (Vandermeer correction); GHG Ch.9 requires the reporting of a methodology summary.

B. [OBJ-GHG CB-M 2.3.3 · Scope 3 Std + Corp. Std Ch.9] (Narrowed — Vandermeer correction.) The gap is not the absence of disclosure of method/data source — that disclosure is required. The gap is that the directional effect of the method transition and the share of estimate-derived AD are not required to be disclosed quantitatively; a qualitative method description does not render visible the magnitude of a silent retreat from physical to spend-based. A quantitative disclosure requirement is recommended for the proposed directions of Rev.2 (there is no final text).

C. (K1+K3) Spend-based emissions track price inflation, not physical activity (Weidema & Wesnæs 1996 data-quality indicators; the quantitative bridge is the Ciroth 2016 pedigree conversion). Detection: convergence of the category IEF toward the sector EEIO band |IEF_t − EF_EEIO|/EF_EEIO < ε; a jump in the K0 reconciliation residue in the year of the method change; a direction-conditional asymmetry statistic — sign inconsistency between Δmethod(reporting year) and Δmethod(base-year update) (information-asymmetry mechanism: if the method transition is not quantitatively disclosed the buyer cannot distinguish quality, Akerlof 1970; the mechanism does not require intent). If the method transition is not quantitatively disclosed, the category receives a "method-indeterminate" label + the lowest-score pedigree uncertainty multiplier. Failure mode: direction-conditional selection · K1+K3. Audit test: if the method has changed, a dual result under both methods; a table of the physical/spend share by category across years.

D. Vandermeer V-1 accepted → block B was narrowed. The general false-alarm calibration caveat applies.

E. The common trend of the deflator and of emissions may mask the convergence signal.

2.4 Coverage Ratio

2.4.1 Missing facility/country coverage

A. GHG Ch.1 establishes the completeness principle and Ch.3 governs consolidation; ISO 14064-1 §5.2.2–5.2.4 defines the reporting boundary. Completeness is qualitative; disclosure of the list of covered facilities/countries is not required (universe caveat: the situation differs for reporters within the scope of ESRS; see Introduction).

B. [OBJ-GHG CB-M 2.4.1 · Ch.1, Ch.9] Absence of a coverage-list bridge between the completeness principle and report content; a narrowing of scope cannot be distinguished from a series break.

C. (K1) Reconciliation of the change in the number/geography of disclosed facilities with the change in emissions; where there is no scope disclosure, the 2.4.3 prior takes effect. Failure mode: one-directional undercounting · K1. Audit test: request the year-on-year difference in the list of covered facilities (entries/exits) in a single table.

D. There is no panel objection; the rule carries its dependence on disclosure explicitly.

E. Unless a geographic breakdown is given, detection depends entirely on disclosure.

2.4.2 Accumulation of sources deemed "immaterial"

A. GHG Ch.1 completeness, Ch.7 quality, Ch.10 materiality in verification; ISO 14064-1 §5.2.3 leaves the materiality criterion to the organization's own definition. The national counterpart: key category analysis (IPCC 2006 Vol.1 Ch.4) exists precisely for this accumulation problem.

B. [OBJ-ISO CB-M 2.4.2 · §5.2.3] Absence of a requirement for an accumulation (total) test; that the excluding party also sets the threshold is an incentive-incompatible design (a structural finding; it carries no assumption of intent). [OBJ-GHG CB-M 2.4.2 · Ch.1/Ch.7] The completeness principle is qualitative; the absence of a cumulative threshold formula and the failure to tie the exclusion inventory to report content.

C. (K1) Cumulative exclusion budget: Σ(estimates of excluded sources)/Total ≤ b, recommended b = 5%; where no disclosure is given, a conservative default uncertainty penalty applies. The algebraic core is the compound distribution: S = Σ Xᵢ, E[S] = λ·E[X] — as the frequency λ grows, individually small exclusions become material (the Panjer recursion for the tail computation remains in a footnote; Loss Models). Failure mode: one-directional under-counting, cumulative · K1. Audit test: the list of excluded sources + the rough magnitude of each + their total, in a single table.

D. The objection that "Panjer is decorative" (Reinholt R-3) was accepted → the citation was demoted to a footnote; the algebra that carries the load is E[S] = λ·E[X].

E. Absent disclosure, the sum of legitimate small exclusions appears in no public signal.

2.4.3 Non-disclosure of the coverage ratio

A. ISO 14064-1 §9.3 does not make the coverage rate mandatory report content; the §8.3 uncertainty provision is not tied to a quantitative coverage disclosure; GHG Ch.9 is in a similar position. Whether this disclosure falls within the assurance scope under the ISAE 3410 regime [to be verified: the relevant internal clause].

B. [OBJ-ISO CB-M 2.4.3 · §9.3, §8.3] The absence of a requirement gives rise to information asymmetry: the high-quality reporter cannot signal, and the pooled average loses its information value (Akerlof 1970). The mechanism requires no intent — a disclosure shortfall is also produced by competence and cost constraints; the adverse-selection outcome is identical in both cases. (The reference to Berg, Kölbel & Rigobon 2022 has been dropped entirely in v1.1 — Vandermeer V-9: even in its narrowed form the study is empirical work on rating divergence; the adverse-selection claim is carried by Akerlof alone.)

C. (K0/K1) Beta prior for coverage where there is no disclosure; the posterior is used in scoring as the lower boundary. The calibration constraint (the Ben-Ami condition, written into v1.1): prior-posterior lower bound ≤ the lowest observed coverage disclosure — otherwise non-disclosure may be profitable; incentive compatibility is a design intention, not a theorem; the unraveling result depends on the verifiability assumption [to be verified: Grossman 1981; Milgrom 1981 disclosure-game citations]. Failure mode: non-disclosure is not-at-random (MNAR); the mechanism does not require intent · K0/K1. Audit test: what percentage of total emissions is measured and what percentage rests on estimated AD — a single line.

D. The unprovenness of the claim "it never confers a gain" (Halvorsen REF-3, Ben-Ami Obj.5ii) was accepted → a calibration constraint was added; the BKR attribution was first narrowed (Vasquez-Torres V-3 partly accepted) and then dropped entirely with Vandermeer V-9; the language of intent was converted into mechanism language in line with Vandermeer V-7.

E. The deterrent force of the mechanism weakens where the verifiability assumption does not hold in the field.

2.5 Period Alignment

2.5.1 Data year ≠ report period

A. The Scope 2 Guidance (Sotos 2015) quality criteria require the EF to be close to the reporting period; GHG Ch.9 carries no provision expressly mandating disclosure of the AD period; the fiscal-year→calendar-year conversion is a known source of breaks in national statistics (IEA balance methodology).

B. [OBJ-GHG CB-M 2.5.1 · Ch.9] The absence of a period-matching disclosure requirement; the AD period and the EF vintage may diverge silently.

C. (K0→K2) If the EF vintage and the AD period are not disclosed, a reconciliation flag; if disclosed, |shift| > 3 months → a K2 bridging calculation is required. Failure mode: bidirectional; becomes unidirectional if the grid EF is trending · K0. Audit test: match the start-end date of every data series line by line against the reporting period; require bridging for a shift of >3 months.

D. There is no objection; the threshold (3 months) is conventional and carries a calibration caveat.

E. Until the typical year-on-year variation band of the grid EF has been verified [to be verified: country-level series], the cost of the shift cannot be quantified.

2.5.2 Within-year effect of the acquisition/transfer date

A. GHG Ch.5 governs base-year recalculation upon structural changes; ISO 14064-1 §6.4 addresses the base year. Disclosure of the date from which consumption is consolidated within the year of transfer (the cut-off method) is not required.

B. [OBJ-GHG CB-M 2.5.2 · Ch.5] The absence of a requirement to disclose the mid-year cut-off method + the recalculation threshold being company-defined; the direction-conditional incentive (late consolidation is advantageous in the reporting year, early consolidation in the base year — only for a reporter under a target commitment, the conditional hypothesis stated in the Introduction) is not addressed.

C. (K1) Proportionality test between the disclosed transfer date and capacity change and the emissions jump: if ΔE/E is disproportionate to the disclosed capacity share, a flag; if the transfer date is not disclosed, the label "consolidation cut-off unclear". Failure mode: direction-conditional, event-based · K1. Audit test: request the date of the transfer agreement, the month in which consolidation began, and the pro-rata calculation in a single chain.

D. There is no objection; the incentive claim was pulled back into conditional-hypothesis language (Vandermeer V-7).

E. The base-year inflation incentive (for a reporter with a committed target) applies on this leaf as well and is visible from a public report only at the level of disproportion.

2.6 Carbonbench Blindness Analysis

2.6.1 Absence of activity data in the report

A. The report-content clauses of GHG Ch.9 and ISO 14064-1 §9.3 do not require the publication of AD (energy breakdown, fuel volumes); most public reports give only E. Universe boundary (Vandermeer correction): this finding holds only within the GHG Protocol + ISO 14064 universe; ESRS E1-5 makes energy consumption/mix mandatory, and IFRS S2/TSRS and CBAM touch AD (the universe caveat in the Introduction) — for reporters covered by these regimes the assumption of AD absence becomes invalid and the Carbonbench tests switch directly to disclosed-AD mode.

B. [OBJ-GHG CB-M 2.6.1 · Ch.9] and [OBJ-ISO CB-M 2.6.1 · §9.3] (Universe: GHG Protocol + ISO 14064 only.) The absence of a requirement to disclose the AD/energy breakdown structurally condemns third-party analytics to IEF back-computation; the transparency principle lacks tool-level binding force.

C. (K0 — framework rule) AD absence produces not a score penalty but a widening of uncertainty; the distinction between absence and incorrectness is preserved: a band violation shows incorrectness, whereas remaining within the band does not show correctness (the one-way testability of §4.5). Decomposition can be performed only within the framework of the GUM law of propagation (JCGM 100:2008 §5.1; Monte Carlo alternative JCGM 101:2008), by modeling the systematic/random components. Failure mode: unobservability (structural) · K0.

D. Vandermeer V-2 accepted → the universe boundary was written into blocks A and B and into the Introduction; the rule is a precondition for the next two leaves.

E. In the absence of AD, all detection power is transferred to the indirect signals of 2.6.2.

2.6.2 Indirect detection signals

A. ISAE 3410 limited assurance is not confined to analytical procedures: site visits, recalculation and source-document sampling are routine in practice (Vandermeer correction; general reference, internal clause structure unconfirmed). This signal class is the projection of assurance procedures onto public data alone — not their substitute. On the Scope 2 side, GHG App.A / ISO Annex E dual reporting (location/market) determines the test design.

B. The Class-1 objections are coded in the leaves above; this section is the tool definition.

C. (K0–K3, four signals). (i) IEF physical band (K2): combustion-based IEF has a stoichiometric basis (IPCC 2006 Vol.2); for an out-of-band IEF the problem is almost certainly in the AD chain (unit, basis, scale) — it is one of the rare tests that can distinguish AD absence from AD error using public data. (ii) Scope 2 reconciliation (K0-conditional): If MWh and S2 are disclosed together, |MWh × EF_grid,year − S2_location|/S2 ≤ τ; τ is derived from the [P5, P95] width of the factor distribution for the relevant region-year; if the EF source/vintage is not disclosed the test drops to K2 and the outcome is a "query trigger". Data-access caveat (Vandermeer): eGRID is published with a ~2-year lag → vintage matching is mandatory (the test year is matched to the factor vintage; for the current year the latest published vintage + bridging is disclosed); IEA annual EF series are licensed and not freely accessible → the free deployment relies on nationally published official factors, and IEA may be used only in licensed deployments [open item v1.1: τ region-year calibration table + list of freely accessible factor sources]. (iii) Intensity band (K3): over the sector peer set Mondrian (group-conditional) conformal band; the guarantee is group-marginal only, and company-conditional coverage is not claimed (the impossibility of conditional coverage without distributional assumptions: Foygel Barber, Candès, Ramdas & Tibshirani 2021; Vovk et al.; Angelopoulos & Bates 2023); for α = 0.05 a minimum of 19 clean peers is required (n ≥ (1−α)/α), failing which the label "not applicable". Circularity reservation (Vandermeer): a peer cannot be deemed "clean" by means of the conformal band itself — the cleanliness criterion is defined by deterministic K0 tests independent of the band (the 2.2.3 scale test, the 2.6.2-ii reconciliation, unit consistency); the full independent cleanliness criterion set [open item v1.1]. The consolidation approach and the scope statement are stratum variables; a band violation is a ranking input, not a ruling. (iv) Balance anchor (K2-conditional): AD_implied = E_S1/EF_ref; AD_implied/AD_sector,country > threshold → flag — precondition: the anchor is defined only for a single-country-dominant emitter (operating geography ≥~80% in one country) or where a country-broken-down disclosure exists. In EU installations the EUTL publishes verified facility-level emissions; however the facility→company (consolidation) mapping is not a solved problem — data being "publicly available" does not confer operational validity (Vandermeer); the anchor is defined only on the subset for which the mapping can be established [to be verified: EUTL data fields and mapping coverage]. Failure mode: combined anomaly detection; no cause imputed · K0–K3. Audit test: divide location-based S2 by the declared MWh; compare the IEF with the year-region factor and tie the deviation to a written justification.

D. Three major revisions were closed in the panel process (box); Vandermeer's reservations on data access (V-6) and peer circularity (V-10) were entered in block C.

E. Indirect signals capture only multiplicatively large and compound anomalies; in-band errors and compensating errors remain invisible.

Divergence of opinion within the panel (RESOLVED + OPEN) — the 2.6.2 instrument set. (1) Conformal guarantee language (four referees): the "band guaranteed at 1−α" caused a marginal guarantee to be read as a conditional one; Ben-Ami revised it with the Mondrian variant + ≥19 peers + the "ranking input" formulation — resolved. (2) Balance-anchor boundary mismatch (three reviewers): a globally consolidated inventory cannot be ratioed against a national IEA balance; Marumo accepted the K0→K2-conditional downgrade and the single-country-dominance precondition; the EUTL validity domain was narrowed with Vandermeer's caveat (facility→company mapping problem) — resolved, mapping coverage [to be verified]. (3) the τ = 10% constant (Marumo REVIEWER-5): Vasquez-Torres accepted the region-year percentile derivation — the calibration table open item v1.1. (4) Vandermeer data-access caveat: the eGRID vintage lag and the IEA license were written into the test set-up; the list of freely accessible factor sources open item v1.1; full independence of the 19-peer cleanliness criterion open item v1.1. Moreover the cap p_estimate = 0.3 and the multiplier w = 0.7 carry, as uncalibrated constants, open item v1.1 status.

2.6.3 The verification ladder upon the arrival of voluntary data

A. In the verification market the shares of ISAE 3410 and ISO 14064-3 vary regionally; since the claim that "the greater part of the market operates under ISAE 3410" could not be sourced, it has been withdrawn and placed on the verification list [to be verified: regime market shares, regional distribution] (Vandermeer correction). The ladder recognizes both regimes (ISAE 3410 general reference; ISO 14064-3 internal structure unconfirmed). GHG Ch.10 frames verification as optional.

B. There is no direct Class-1 objection on this leaf; the gaps are coded in 2.4.3 and 2.6.1.

C. (K4 — two-parameter ladder, revised). The rungs: Z₀ (public report only) < Z₁ (+voluntary AD, unreconciled) < Z₂ (+K0 reconciliation passed) < Z₃ (+third-party assurance). The algebra splits into two channels (as required by the random/systematic distinction of GUM §3.2.3): variance channel — the voluntary data volume n increases the Bühlmann weight through Z = n/(n+k) (Bühlmann 1967; Bühlmann & Gisler 2005, Ch. 4); bias channel — third-party assurance updates not n but the prior distribution of the systematic bias term (δ ~ prior; hierarchical set-up Gelman et al., BDA); the two channels are not dissolved into the same k parameter. Voluntary data never takes Z = 1 (an unverified self-declaration carries selection). In small-n proportion intervals, Wilson (1927) / Agresti & Coull (1998) instead of Wald. Failure mode: blend bias · K4. Audit test: reconcile the voluntary AD with the report's own total; difference > 2% → the ladder drops one rung.

D. The objection that "increasing n has no theoretical counterpart" (Reinholt R-3, Demirtaş-Whitfield Obj.2) was accepted as the panel's weightiest theoretical finding and was resolved with two-channel algebra. Vandermeer V-4: the market-share claim was moved to [to be verified].

E. Credibility blending does not correct the bias where the collective prior is itself systematically biased across the sector; it merely reduces variance.

End of Chapter — Error Budget Table

Objection Index

Bibliography

JCGM 100:2008 (GUM), in particular §3.2.3, §3.3, §5.1 · JCGM 101:2008 (Monte Carlo) · JCGM 200:2012 (VIM), clauses 2.39, 2.41, 4.21 · IPCC 2006 Guidelines, Vol.1 Ch.3 (Frey et al., uncertainty), Ch.4 (key category), Ch.5 (time series); Vol.2 Ch.1–2 (GCV/NCV, default EF; Table 2.2) · ISO 6976 · ISO 5725 · ISO/IEC 17025 · ISO 14064-1:2018: §4.5, §5.1–5.2, §6.2–6.4, §8.1–8.3, §9.3, Annex C (informative), Annex E (normative) · ISO 14064-3 (general reference) · GHG Protocol Corporate Standard (rev. ed.): Ch.1, Ch.3–7, Ch.9–10, App.A · GHG Protocol Scope 2 Guidance (Sotos 2015) · GHG Protocol Scope 3 Standard · ISAE 3410 (IAASB, general reference) · Universe-caveat references (out-of-scope regimes): ESRS — Commission Delegated Regulation (EU) 2023/2772, ESRS E1 (E1-5 energy consumption and mix) · IFRS S2 (ISSB 2023) · CBAM — Regulation (EU) 2023/956 · Montgomery, Introduction to Statistical Quality Control · AIAG MSA 4th ed. · Hawkins & Olwell 1998 · Bühlmann 1967; Bühlmann & Gisler 2005 · Klugman, Panjer & Willmot, Loss Models · Akerlof 1970 · Rubin 1987 · Fenton 1960 · Limpert et al. 2001 · Weidema & Wesnæs 1996 · Ciroth et al. 2016 · Vovk et al., Algorithmic Learning in a Random World · Angelopoulos & Bates 2023 · Foygel Barber, Candès, Ramdas & Tibshirani 2021 · Wilson 1927; Agresti & Coull 1998 · Gelman et al., Bayesian Data Analysis · Jones, Champ & Rigdon 2001 · EPA eGRID; IEA World Energy Balances (licensed; access caveat 2.6.2-ii).

(The Berg, Kölbel & Rigobon 2022 citation was dropped in v1.1 — Vandermeer V-9.)

[To be verified — separate list]: OIML R137 MPE class values · EN 590 density range · ISAE 3410 internal clause structure (analytical procedure; estimate-based items; coverage-rate assurance) · ISAE 3410 / ISO 14064-3 verification market shares (regional distribution) · Sotos 2015 quality-criterion clause number · Jensen, Jones-Farmer, Champ & Woodall 2006 citation · Grossman 1981 / Milgrom 1981 citations · EUTL data fields and facility→company mapping coverage · CBECS/comparable building benchmark band · studies on sectoral invoice shift and meter-coverage error magnitude · country-level annual grid-EF variation band.

CHAPTER 3 — SCOPE AND BOUNDARIES

Introduction: The Map of the Error Universe

In a greenhouse gas inventory two decisions are taken before any number is produced: which sources are "inside" (boundary), and on which line those inside are recorded (scope). The framing thesis of this chapter is metrological: scope and boundary errors are each an error in the definition of the measurand (JCGM 200:2012, clause 2.3) and the uncertainty they produce is definitional uncertainty (VIM 2.27) — it cannot be reduced by any repeat measurement, only made visible by disclosure. Four complementary readings of this thesis run interwoven throughout the chapter: (i) boundary error appears not in a single year but in the time series (the time-series consistency discipline of IPCC 2006 Vol.1 Ch.5); (ii) the menu of options offered by the standards is self-selected — the reporting party holds private information and takes the option that minimizes its loss function (akin to adverse-selection logic; Akerlof 1970 is cited only for the information-asymmetry framework) [to be verified: primary source for screening/mechanism design]; (iii) category selection is an informative-incompleteness problem — what is left out of the report is correlated with its magnitude; (iv) classification is an attribute assessment, a judgment, and its repeatability is subject to measurement-system discipline (AIAG MSA 4th).

Two horizontal principles bind all sections. Direction-conditionality: the loss function is time-dependent; while a low emission figure is preferred in the reporting year, this reverses in the base year — the tests run with separate thresholds in the two directions. Regime triad: the verification market is divided among ISO 14064-3, ISAE 3410 (IAASB 2012) and AA1000AS v3 (AccountAbility 2020); the larger share lies with ISAE 3410 [to be verified: the market-share distribution across regimes]. The objections address all three regimes; ISAE 3410 is a public text, and its materiality and assurance-report scope provisions are cited directly (the "Materiality in Planning and Performing the Engagement" section and the assurance report content provisions; [to be verified: paragraph numbers]).

The Carbonbench rules are layered: K0 disclosure discipline (binary text check), K1 internal consistency (intra-report arithmetic/cross-checks), K2 within-series/peer-group consistency, K3 external reference (an uncertainty-bearing z-score), K4 verification with voluntary activity data. K0 has the character of a precondition: since the category-existence and ratio inferences are LLM outputs, inference accuracy is measured on a human-labeled gold set; the sampling unit is the report, a Wilson interval is assigned to the category-detection rate (Wilson 1927; Agresti & Coull 1998), and confidence scores are calibrated with ECE (Guo 2017). Uncalibrated inference confidence invalidates all downstream layer statistics; inference error and reporting omission are carried in separate columns of the flag report.

3.1 Organizational Boundary (3.1.1–3.1.4)

A. Current standard position. GHG Protocol Corporate Standard Ch.3 offers a three-way consolidation menu (equity share / financial control / operational control); ISO 14064-1:2018 §5.1 establishes an equivalent structure. Ch.5 prescribes base-year recalculation upon structural change; §6.4 governs base-year updating. The non-operated part of a franchise network falls under category 14 of the Scope 3 Standard, and equity-method associates under category 15. Rev.2 is in consultation; objections to the consolidation provisions are directed at the proposed directions — there is no final text.

B. Class-1 objections. [OBJ-GHG CB-M 3.1.1 · Ch.3]: A menu is presented, but the absence of a requirement that the choice be justified against financial consolidation produces a menu that renders the choice externally unassessable. [OBJ-ISO CB-M 3.1.2 · §5.1/§6.4]: The absence of a requirement that the quantitative effect of a change in approach be separated out in the report makes external assessment of the comparability of the series impossible. [OBJ-GHG CB-M 3.1.2-a · Ch.5]: The materiality threshold triggering recalculation is left to company policy; the absence of a quantitative-threshold requirement devolves comparability to the reporter's discretion. [to be verified: whether the Ch.5 trigger list explicitly covers a change in consolidation approach].

C. Carbonbench rule. - 3.1.1 (K1): Divergence flag D = 1{GHG approach ≠ financial consolidation} × W; W = the asset (or EBITDA) share of equity-method associates; D > threshold → a justification note is sought. The flag is not an allegation of violation but a request for a justification note. - 3.1.2 (K2, v1.1): Change-point test; for the threshold h a σ̂ pooled from the sector peer group is used (credibility-weighted combination; Bühlmann & Gisler 2005), the reference window excludes the suspected break year, and the false-positive rate is reported by short-series simulation. A level jump at constant IEF is not by itself a signature, but is supporting evidence on the condition of a text diff; the M&A calendar is a mandatory covariate, and the denominator is a physical production proxy where possible, otherwise deflated turnover. - 3.1.3 (K1): Coverage ratio C = covered associate asset share / total; C < 1 ∧ no category-15 disclosure → flag. The direction of bias of the exclusion follows from the completeness principle (Ch.1); the magnitude calculation is delegated to the informative-incompleteness framework (at the level of analogy: a left-truncated compound distribution, Klugman/Panjer/Willmot). - 3.1.4 (K1+K3): F = franchise units / total units; F high ∧ no category-14 → flag; where category-14 is present, the IEF ratio band is a second flag.

D. Class-2 objections and defense. Halvorsen (HK-4) showed that the D flag also fires under a legitimate operational-control choice; the defense was partly accepted — the flag was repositioned as a request for justification rather than a screen, and the W threshold and discriminating power were carried into v1.1 as a quantification item. Three reviewers (Marumo, Ben-Ami, Vasquez-Torres) raised an exchangeability objection to the Bühlmann Z = n/(n+k) application; accepted — the phrase "the effective n falls to zero" was removed from the text, and credibility is invoked only as an intuition. The CUSUM formula error (Shewhart-type notation) was corrected; the small-n Phase-I objection (all reviewers) was met by a pooled-σ̂ and simulation-calibration revision. Vandermeer's language review was accepted: characterizations conflicting with the positioning of flags as a "request for justification" were converted into referee language throughout the section (including the "Invisible JV" label).

Divergence of opinion within the panel (resolved): The proposition that "a level jump while the IEF remains constant is the signature of a boundary shift" (Marumo) was lowered from "single diagnostic" to "conditional supporting evidence" following the confounding objections of Halvorsen and Demirtaş-Whitfield. (Open): The sector peer-group definition and the simulation protocol for the pooled σ̂ — open item v1.1.

E. Residual risk. From a public report only divergence and discontinuity can be identified; which approach yields the correct inventory cannot be proven without activity data.

3.2 Operational Scope (3.2.1–3.2.3)

A. Current standard position. GHG Corporate Std Ch.4: fugitive emissions (including refrigerant gases) are one of the four types of Scope 1; combustion in owned/controlled vehicles is Scope 1, employee vehicles Scope 3 cat. 6–7. For leased assets the primary determinant is the lease type (financial/operational); the consolidation approach is articulated onto this distinction only secondarily, and leased assets fall, depending on the case, under Scope 1 or Scope 3 cat. 8. On-site fuel combustion is Scope 1, purchased electricity Scope 2 (App.A; ISO 14064-1 Annex E is normative). Ch.9 counts the reporting of emissions separately by gas as being among the required information; field compliance with this requirement is low [to be verified: Ch.9 gas-basis disclosure compliance rate]. Cogeneration allocation is regulated at tool level [to be verified: reference details of the GHG CHP allocation tool].

B. Class-1 objections. [OBJ-GHG CB-M 3.2.1-a · Ch.4+Ch.6]: The absence of a requirement for a binding hierarchy governing the quantification method for fugitive emissions, combined with the principle-standard/tool distinction, leaves an unauditable space of choice. [OBJ-ISO CB-M 3.2.1-b · §4.5, §6.2.2]: The accuracy principle implies equipment-level monitoring for high-GWP gases; the absence of such a requirement produces asymmetric error in the direction of underestimation. [OBJ-GHG-3.2.2 · Ch.3-Ch.4]: The combination of lease type + consolidation admits more than one legitimate classification outcome; the absence of a requirement to disclose the choice and its effect creates tension with the comparability principle. [OBJ-GHG-3.2.3 · Ch.6]: The allocation method remaining at tool level legitimizes two different Scope 1/Scope 2 splits for the same facility. [OBJ-ISO-3.2.3 · §4.5/§8.3]: The absence of a requirement for meter-invoice reconciliation evidence; the traceability chain of the ISO 17025 logic has no counterpart on the inventory side. [OBJ-ISO CB-M 3.2.3 · §6.2.2]: The data selection provision contains no requirement to declare the calorific basis (GCV/NCV).

C. Carbonbench rule. - 3.2.1 (v1.1, sector-preconditioned): The Ch.9 gas-based reporting requirement makes the HFC line the public proxy for the fugitive item; however, since compliance with gas-based disclosure is low in the field, an unconditional rule would fire for the majority of reports. For this reason the sector precondition comes before r_min: the K0 disclosure-discipline flag is triggered only in sectors where refrigerant use is predictably material (retail/food cold chain, HVAC-intensive facilities); in other sectors the absence of HFCs is coded as an observation row rather than a flag (it carries no exclusion claim, it records the absence of disclosure). For r_f = E_HFC/E_S1, a sector-conditional r_min remains an open item v1.1 ([to be verified: IPCC 2006 Vol.3 Ch.7 leakage rate table; EPA GreenChill rate] until confirmed). K3: no parametric assumption is made for a refill series containing zeros; the test rests on the presence/absence pattern of refill years. GWP-set flag: flag ⇔ the set has changed ∧ there is no recalculation/disclosure note (the mandatory-transition exemption is structurally included). - 3.2.2 (v1.1, σ-independent): Fleet reclassification is mostly to cat. 8 (leased assets); the item-balance test therefore includes cat. 8: flag ⇔ sign(ΔK1mobile) = −sign(Δ[cat.8; if absent cat.6+7]) ∧ the two magnitudes overlap within ±25% (mass-balance test; conservation of mass is a structural constraint). A change of lease type (financial↔operational transition) is a legitimate confounder and is excluded first by text-diff. The 3·σ_MR threshold applies only to series with n ≥ 15, with a simulation-calibrated false-alarm rate. K1: a fleet disclosure exists + no K1 mobile combustion line → flag. - 3.2.3 (v1.1, single unified rule, fuel-conditional): z = (IEF − EF_ref)/u; the IPCC Vol.1 Ch.3 (Frey) EF uncertainty and the ISO 6976 composition variance enter u as Type B contributions (JCGM 100:2008 §4.3); persistence requirement: |z| > 2 in two consecutive years. The GCV/NCV band is fuel-conditional: for natural gas NCV ≈ 0.90·GCV → band [0.88; 0.92] ∪ [1.09; 1.13]; for coal and liquid fuels the IPCC 2006 Vol.2 Ch.1 ratio is 0.95 → band [0.93; 0.97] ∪ [1.03; 1.08]; where the fuel mix is unknown the band is not applied and this downgrade is recorded in the error budget. The band is not a separate flag but a direction-specific reading of z; persistence in the same direction for ≥3 years plus a check of the basis of the national EF set is required ([to be verified: GCV basis of the DEFRA/DESNZ factors]). CUSUM only where a break-free reference period can be defined; otherwise it is downgraded to the text-diff (K0) level and the downgrade is declared in the error budget.

D. Class-2 objections and defense. Five referees raised an unidentifiability objection to the 3.2.3 band (Frey uncertainty ranges, gas composition and national GCV-based factor sets all fall within the same window); Halvorsen accepted it and the rule was converted into a single combined flag uniting three-condition persistence with Reinholt's z-score — counting the two flags independently would have inflated the false-discovery rate. Vandermeer showed that the band holds for natural gas alone and that the IPCC ratio for coal/liquid fuels is 0.95; accepted — the band was written fuel-conditionally, since otherwise systematic misses would arise at coal-weighted facilities. In 3.2.1 the granularity objection (Halvorsen, Ben-Ami, Vasquez-Torres: most reports carry no fugitive line) had been partly rebutted by Demirtaş-Whitfield's counter-reference to gas-by-gas reporting in Ch.9; Vandermeer's field-compliance objection (the requirement exists on paper, compliance is low — an unconditional K0 fires in the majority of cases) reopened it and the sector precondition coming before r_min was closed by the rule. Vandermeer's finding on lease type (the primary determinant being the finance/operating distinction; reclassification falls to cat.8) was accepted — the mass-balance test was corrected to include cat.8; otherwise the conservation-of-mass claim would have been void. The lognormal assumption (Limpert 2001) was withdrawn for the sawtooth series; the "20% deviation" audit threshold was found to be without reference and was replaced by a GUM Type B comparison.

Divergence of opinion within the panel (resolved): Three contributions operated 3.2.3 with different thresholds (the Halvorsen band; Reinholt's |z|>2; Marumo's country-year calibrated τ) — following Demirtaş-Whitfield's identification of a "common defect", Reinholt's consolidation rule was accepted. (Open): An empirical preliminary study of the prevalence of basis disclosure [to be verified]; if K0 does not prefilter the precondition, the rule is single-criterion.

E. Residual risk. Classification compliance can be tested with public data only indirectly; since a refrigerant inventory appears in no public data, the K0–K3 flags indicate an omitted disclosure only with a sector-conditional probability.

3.3 Scope 3 Category Selection (3.3.1–3.3.4)

A. Current standard position. The Scope 3 Standard defines 15 categories and the relevance criteria; Corporate Standard Ch.1 establishes the completeness principle. ISO 14064-1:2018 §5.2.3 leaves the determination of significant indirect emissions to criteria defined by the organization (Annex H being an informative framework). The definition of category 15 (financed emissions) is binding; the attribution formula is left to the instrument-level standard (PCAF). The Rev.2 orientations touch on Scope 3 boundaries; there is no final text.

B. Class-1 objections. [OBJ-GHG CB-M3.3.1 · Scope 3 Std, relevance criteria]: The criteria are qualitative-ordinal; the absence of a requirement to tie the exclusion rationale to a quantitative threshold leaves a latitude whose justification cannot be tested externally. [OBJ-ISO CB-M3.3.1 · §5.2.3 + Annex H]: There is no requirement that the criteria be tied to an auditable distributional reference. [OBJ-GHG CB-M 3.3.4 · Scope 3 Std Cat.15]: The attribution method lacks binding force owing to the principle-standard/tool distinction; there is no requirement that a PCAF-conformance disclosure be brought within the verification scope [to be verified: ISAE 3410 application practice].

C. Carbonbench rule. - 3.3.1 (K2, v1.1): Category-presence vector v ∈ {0,1}¹⁵; estimation of π̂ₖ by hierarchical Bayes within the sector peer group (Gelman et al. BDA; credibility shrinkage in small peer groups). Score = Σₖ(1−vₖ)·π̂ₖ·ŝₖ is a ranking statistic; the flag is given as an empirical percentile within the peer group (the most extreme 5% slice) and carries no nominal error-rate promise; coverage is reported empirically on the golden set. - 3.3.2 (K2): rₖ = a conformal lower bound on the ratio Cat.k/(S1+S2); in a peer group with n < 19 the rule receives the label "not applicable" (Angelopoulos & Bates 2023), no silent validity is implied. For regime heterogeneity (mandatory/voluntary reporting), Mondrian (group-conditional) conformal is the v1.1 route (Vovk et al.). Direction-conditional: in the base year the test runs with the opposite sign (upper-tail escape). - 3.3.3 (K3): Unless the supplier-data share λ is disclosed, the year-over-year change "cannot be separated" label — non-identifiability is not covered over with a confidence interval. The primary confounder is a version update of the EF factor set (e.g. the annual vintage change in DEFRA/DESNZ): the series breaks even without a change of supplier or software; the rule first rules out the factor-set version by text diff. Software-layer migration (silent series break upon a change of Sphera/Watershed/Persefoni) is a secondary trigger. - 3.3.4 (K1; K3 open): K1 = attribution formula per asset class + disclosure of the weighted data-quality (DQ) score (binary). The attribution share is specific to the asset class: for listed companies (debt+equity)/EVIC, with different denominators for commercial lending and real estate (PCAF Standard, asset-class formulas [to be verified: section numbers]). The comparison of the implied coverage ratio remains an open item v1.1 until the uncertainty of the external input is tied into the z-score; a deviation outside the band is coded not as an "error" but as an "undisclosed narrowing of coverage".

D. Class-2 objections and defense. The objection that the posterior predictive p-value is not uniformly distributed under the null (four reviewers; a caution issued by BDA itself) was accepted — the 0.05 threshold was removed from the text. The conformal exchangeability objection was partly refuted: in a small peer group the test does not produce a false flag, it cannot produce a flag at all; the euphemism criticism was nevertheless accepted and a "not applicable" label added, while regime clustering was addressed by Mondrian conditioning. Vandermeer's objection to 3.3.3 was accepted: the primary source of a break is not the software migration but the factor-set version; the trigger hierarchy was inverted accordingly. The "2–10×" effect band was dropped from the main text and kept under the status [to be verified: exact ratios in Klaaßen & Stoll 2021]; Vasquez-Torres's unlabeled adoption of the band was withdrawn. The cluster objection (Reinholt) to the iid assumption of the Wilson interval was partly met by making the sampling unit a reported item; the within-sector residual correlation correction remains an open item [to be verified: source for a cluster-robust interval].

Divergence of opinion within the panel (resolved): Citation-label discipline — that unverified magnitudes may not be carried unlabeled into a colleague's text became a binding rule across the panel. (Open): Peer-group priors make incompleteness that has become normalized across the sector look clean; without an external anchor (an independent estimate) this bias cannot be removed from within.

E. Residual risk. All Scope 3 tests depend on peer-group quality; if the sector itself systematically under-reports, the flags remain systematically silent.

3.4 Exclusions (3.4.1–3.4.2)

A. Current standard position. GHG Corporate Std Ch.9 requires exclusions to be disclosed; Ch.7 establishes the inventory quality framework. ISO 14064-1:2018 §5.2.3 governs the justification of exclusions and §9.3 the report content; §4.5, the accuracy principle, is binding. In national inventory practice the "NE — not estimated" cell cannot be left unjustified; the equivalent discipline on the company side is disclosure of the exclusion list together with its estimated share. JCGM 106:2012 canonically regulates the role of measurement uncertainty in the conformity decision (guard band / decision-rule framework; guarded acceptance).

B. Class-1 objections. [OBJ-GHG CB-M 3.4.1 · Ch.9]: The reporting provision requires disclosure but contains no quantitative threshold or uncertainty-treatment requirement; the threshold remains a magnitude of assertion rather than of measurement. In the same provision, the absence of a requirement for a quantitative cap on the sum of exclusions leaves the separation between the single threshold and the total effect outside audit (n individually small exclusions may exceed the threshold in aggregate).

C. Carbonbench rule (combined, v1.0). The de minimis comparison is a conformity assessment and sits within the decision-rule framework of JCGM 106:2012: conforming ⇔ ŝ + k·u(ŝ) ≤ τ (guarded acceptance; guard band w = k·u(ŝ)). If u(ŝ) is not given, the default is derived from a rectangular distribution supported on [0; 2ŝ]: u(ŝ) = ŝ/√3 (GUM §4.3.7 — derived, not chosen). The choice k = 2 is a disclosed decision rule defended in the guarded-acceptance language of JCGM 106. Ben-Ami's lognormal prior (Limpert 2001; small shares are right-skewed) produces no separate flag; it only feeds the u(ŝ) input of the multiple-exclusion sum — a single unified rule. 3.4.2 (K0/K1): an exclusion disclosure exists ∧ no estimated share → flag; "no data" alone does not count as a justification. Audit test: "Disclose the estimated total share of the excluded items as a single figure and compare it with the threshold."

D. Class-2 objections and defense. Four reviewers raised a distributional-groundlessness objection to the u(ŝ)=ŝ/2 default; Reinholt's pointing to the rectangular distribution provided the resolution — ŝ/√3 is both derived and more conservative, so the arbitrariness objection was thereby closed. Demirtaş-Whitfield's finding of "two operating thresholds on the same leaf" (GUM framework vs 50% posterior probability) was resolved by editorial decision: the quantitative decision rule was delegated to the GUM framework. The gap left open on the grounds that "JCGM 106 is not in the canonical list" was closed by Vandermeer: JCGM 106:2012 exists and is precisely the guard-band/decision-rule framework; the citation was added, the open item closed, and the rule raised to v1.0.

Divergence of opinion within the panel (resolved): The Halvorsen/Ben-Ami double-threshold conflict → a single unified rule. (Resolved, Vandermeer): The canonical basis of the guard-band framework — JCGM 106:2012.

E. Residual risk. The excluded share is itself the reporter's estimate; unless the estimation method is disclosed, the k·u(ŝ) safeguard remains formal.

3.5 Base Year and Recalculation (3.5.1–3.5.2)

A. Current standard position. GHG Corporate Std Ch.5: a structural change (acquisition/divestment) triggers base-year recalculation; the materiality threshold is left to company policy. ISO 14064-1:2018 §6.4 governs the base year and requires representativeness. The time-series consistency discipline of IPCC 2006 Vol.1 Ch.5 (recalculation; overlap/surrogate/interpolation) offers a stricter comparison framework.

B. Class-1 objections. [OBJ-GHG CB-M-3.5.1-a · Ch.5]: Only structural change is a trigger; for method/EF changes recalculation is discretionary — a consistency regime looser than that of IPCC Ch.5. [OBJ-ISO CB-M-3.5.2-a · §6.4]: There is no quantitative criterion of representativeness; the requirement in this form lacks bindingness.

C. Carbonbench rule (K3, direction-conditional, trend-adjusted). 3.5.2 (v1.1 revised): The raw rank test is invalid on its own, because the exchangeability assumption collapses for targeted companies: companies publishing a reduction target are typically already on a declining trend, and the base year being the window maximum is, in this population, the default case — the condition "a target exists" does not lower the false positive, it selects precisely this population (a selection effect through conditioning). For this reason a detrending pre-step is mandatory: a linear (or peer-group common) trend is fitted over the window {E_base−2,…,E_base+2} and a rank test is applied to the residuals: r = rank(ε_base). Flag ⇔ r = maximum ∧ a published reduction target exists ∧ no written justification of the choice. On the residuals the pure-chance base rate is P(r = max) = 1/5 = 0.20, and this value for the residual ranking is written explicitly into the error budget; the base rate of a test applied to the raw series would be an optimistic lower bound for this — that distinction is disclosed as well. 3.5.1: M&A disclosed (annual report) ∧ base-year series unchanged ∧ no restatement footnote → flag. Direction-conditionality is a central design principle: base-year inflation is a risk pattern observed in the era of targets and requires a direction-conditional test; reporting-year tests and base-year tests run with separate threshold sets.

D. Class-2 objections and defense. Ben-Ami's "20% base false-positive" objection had been partly rebutted by Marumo (a known, closed-form null is full calibration, not an absence of calibration); Vandermeer showed that this defense falls short: the problem is not the disclosure of the base rate but the collapse of the exchangeability assumption in the targeted population — under a declining trend the raw maximum order statistic is uninformative, and the "a target exists" condition creates a selection effect. Accepted: a detrending pre-step was made mandatory in the rule, and the base rate was tied to the residual ranking. The short-series statistics objections are shared with the pooled-parameter revision in 3.1.2.

Divergence of opinion within the panel (resolved): The base rate of the order test — the debate over "a defect or a feature to be disclosed" had been closed in favor of writing it openly into the error budget; the Vandermeer revision moved that disclosure onto detrended residuals. (Open): The selection protocol for whether trend estimation uses a within-window or a peer-group-common approach — v1.1.

E. Residual risk. The rationale for the choice of base year is rarely written in a public report; the flag codes not intent but the absence of a rationale.

3.6 Offset and Certificate Accounting (3.6.1–3.6.3)

A. Current standard position. GHG Corporate Std Ch.8 provides that reductions/offsets be reported separately from the inventory; Ch.9 ties the reporting requirements to the inventory. The Scope 2 Guidance (Sotos 2015) requires location- and market-based dual reporting on condition that the company has operations in markets where market-based instruments (contractual instrument/certificate) are available — the requirement is not unconditional. ISO 14064-1:2018 Annex E is normative in electricity accounting; Annex D governs biogenic disaggregation. On the assurance side, limited assurance engagements typically cover only Scope 1+2; the ISAE 3410 materiality and assurance-report scope provisions are directly relevant [to be verified: paragraph numbers]. The Rev.2 Scope 2 consultation has taken place [to be verified: consultation dates (recorded as Oct 2025–Jan 2026)]; there is no final text.

B. Class-1 objections. [OBJ-GHG CB-M 3.6.1 · Scope 2 Guidance]: The dual reporting requirement exists (in its market-based form), but the absence of a requirement to reconcile the ΔS2 difference in the narrative prevents the reader from assessing that difference. [OBJ-ISO CB-M 3.6.2 · Annex E]: Instrument attributes are normative, but the absence of a requirement to carry retirement evidence into the report content (§9.3) leaves the evidence chain outside the report [to be verified: Scope 2 Guidance quality criterion item no.]. [OBJ-GHG CB-M 3.6.3 · Ch.9]: Reporting requirements bind the inventory, not the marketing claim; claim-level terminology discipline carries no binding force owing to the principle-standard/tool distinction — whether Rev.2 will address this gap is not clear.

C. Carbonbench rule. - 3.6.1 (K0+K1, market-conditional): The presence of the two figures (location/market) is a dual control; the flag fires only if the company's operations in markets where market-based instruments exist can be established (the geography of operations is inferred from the public report); where the condition cannot be determined, a "market condition undetermined" label is applied and no flag is raised. Gross/net distinction: flag ⇔ ΣSᵢ − E_total > ε ∧ the difference coincides within ±5% with the volume of canceled certificates (signature of a substitute for the measurand; VIM 2.3). The magnitude of ΔS2 is expressed by a structural bound: ΔS2 ≤ (contracted renewable MWh) × EF_grid; empirical distribution [to be verified: sectoral ΔS2 distribution]. - 3.6.2 (K2, bidirectional): |Δ(E_mb/E_loc)| > threshold ∧ no retirement disclosure → flag; if the registry is public, K3 cross-verification. Direction-conditional: the pattern of selecting location-based (high) in the base year and then lowering it with instruments in later years is screened with a separate threshold. - 3.6.3 (K0+K1): flag ⇔ a neutrality claim exists ∧ (scope list ∨ reference year ∨ boundary disclosure) absent; where the claim exists, a scope×category matrix is sought. In the test of overlap with the scope paragraph of the assurance statement, partial scope is the norm: limited assurance typically covers only S1+S2; the flag is raised not on partial scope itself but on the claim's exceeding of the assurance scope and the non-disclosure of that difference (the ISAE 3410 opinion is given on the inventory, not on the claim; under the AA1000AS regime the equivalent reading is made through the scope statement).

D. Class-2 objections and defense. Four reviewers raised a lack-of-reference objection to the claim that "ΔS2 exceeds a quarter of the inventory in some sectors"; fully accepted — the quantitative claim was replaced with a structural upper bound. The over-generalization of the PCAF formula (Reinholt) was accepted; the K1 control was converted into a "formula disclosure per asset class" (see 3.3.4). Vandermeer's two corrections were accepted: (i) the dual-reporting requirement is not unconditional — a market condition was added to the "single S2 line → K0" rule; (ii) the typical S1+S2 coverage of limited assurance was taken as the norm, and the overlap test was converted from a "partial scope = anomaly" reading to an "undisclosed scope overrun" reading. Since the 3.6.2 rule contains no quantitative parameter, it is unaffected by the small-n criticisms; the K0/K1 binary discipline holds in short series as well — this part was defended and has been retained in v1.0.

Divergence of opinion within the panel (resolved): ΔS2 magnitude claim → structural bound formulation. (Open): Unless the registry system and portfolio data are shared voluntarily, verification above K3 is open item v1.1.

E. Residual risk. For electricity instruments and financed emissions, Carbonbench can test disclosure discipline alone; the fact of retirement cannot be verified without registry data.

Chapter Error Budget

Objection Index

Bibliography

JCGM 100:2008 (GUM), §4.3, §6.2–6.3 · JCGM 106:2012 (Conformity assessment — role of measurement uncertainty in conformity assessment; guard band/decision rule) · JCGM 200:2012 (VIM), 2.3, 2.27 · IPCC 2006 Guidelines, Vol.1 Ch.3 (Frey), Ch.5; Vol.2 Ch.1 (GCV/NCV ratios: natural gas 0.90; coal/liquid 0.95); Vol.3 Ch.7 · ISO 6976 · ISO 14064-1:2018, §4.5, §5.1–5.2, §6.2, §6.4, §8.3, §9.3, Annex D, E (normative), H · GHG Protocol Corporate Standard (rev. ed.), Ch.1, 3, 4, 5, 6, 7, 8, 9, App.A · Sotos, M. (2015), GHG Protocol Scope 2 Guidance, WRI (dual reporting, market-based) · GHG Protocol Scope 3 Standard (cat. 6–8, 14–15) · ISAE 3410 (IAASB 2012) — materiality ("Materiality in Planning and Performing the Engagement") and the assurance report content/scope provisions · AA1000AS v3 (AccountAbility 2020) · PCAF Standard, Part A · Montgomery, Introduction to Statistical Quality Control · AIAG MSA 4th · ISO/IEC 17025 · IEA/Eurostat/OECD (2005), Energy Statistics Manual · Bühlmann (1967); Bühlmann & Gisler (2005) · Klugman, Panjer & Willmot, Loss Models · Akerlof (1970) · Wilson (1927); Agresti & Coull (1998) · Limpert et al. (2001) · Vovk et al.; Angelopoulos & Bates (2023) · Guo et al. (2017) · Gelman et al., Bayesian Data Analysis · Klaaßen & Stoll (2021), Nature Communications · IPCC AR5 WG1 (GWP₁₀₀).

[to be verified] list: consolidation change in the GHG Ch.5 trigger list · the GCV basis of the DEFRA/DESNZ factor set · prevalence of GCV/NCV basis disclosure · IPCC Vol.3 Ch.7 fugitive rate table no. · EPA GreenChill average leakage rate · the exact rates and sectoral distribution in Klaaßen & Stoll 2021 · Scope 2 Guidance quality criterion item no. · PCAF asset-class formula section numbers and the DQ definition · sectoral ΔS2 distribution · ISAE 3410 materiality/scope paragraph numbers and the internal clause structure/materiality practice of ISO 14064-3 · market-share distribution of the verification regimes (ISAE 3410 / ISO 14064-3 / AA1000AS) · GHG Rev.2 Scope 2 consultation dates · primary source for the screening/mechanism design · source for the cluster-robust confidence interval · empirical frequency of silent consolidation change · Ch.9 gas-basis disclosure compliance rate.

CHAPTER 4 — CALCULATION AND AGGREGATION

Introduction: The Map of the Error Universe

A corporate greenhouse gas inventory is, in the language of metrology, an algebra of quantities — every line is the product of a number and a unit (VIM, JCGM 200:2012, item 1.19); the conceptual set of measurement-system analysis (bias, stability; AIAG MSA, 4th edition) serves here only as an analogy, the inventory itself is not an MSA. The subject of this chapter is not measurement itself, but the ways in which the arithmetic performed after the measurement breaks down. GUM's measurement model Y=f(X₁,…,Xₙ) (JCGM 100:2008, §4.1) is meaningful only with inputs that are unit-consistent, multiplier-consistent and additive; violation of these three conditions produces, respectively, branches 4.1 (unit), 4.3 (GWP multiplier) and 4.1.3/4.2 (additivity and consolidation). Branch 4.4 collects the errors of reporting resolution, branch 4.5 those of the time axis.

Four detection layers are used throughout the chapter: K0 — a deterministic test on intra-report data alone, requiring no external source; K1 — deterministic recalculation (reproducing the total from the components the report discloses); K2 — statistical screening (sector priors, band conformity); K3 — inter-year and cross-source verification. The Carbonbench constraint holds in every section of this chapter: we have only public reports; activity data (AD) does not exist unless volunteered. Every rule must therefore preserve the distinction between AD-absence and AD-incorrectness — what is tested here is not the accuracy of the data but whether the arithmetic contradicts itself.

Two structural lessons are embedded throughout the chapter. First, the loss function is time-dependent: a preference for a low value in the reporting year can reverse in the base year (base-year inflation). The prevalence of this reversal is not an established base rate but a hypothesis that must be documented: in field practice the majority of base-year recalculations originate from M&A and data improvement, and SBTi's ~5% recalculation threshold together with the validation process forms a deterrent layer [to be verified: base rate of base-year inflation; primary confirmation of the SBTi threshold text]. Since the incentive structure is nevertheless not symmetric, the tests are designed direction-conditionally; a symmetric control band cannot audit an asymmetric incentive structure. Second, the software/EF-library layer is a distinct failure mode: the company most often selects the emission factor not directly but through a software layer¹; what produces the silent series break is not the individual software brand but the packaged EF library's vintage (DEFRA, ecoinvent, EPA, IEA) — a change of supplier/vintage is the carrier of this break. One final principle: the detection instrument must not itself produce false precision (the audit context of Guo 2017's overconfidence finding) — how the thresholds in this chapter were narrowed under panel refereeing can be traced in the boxes.

¹ By way of illustration: Sphera, Watershed, Persefoni. What defines the failure mode is not the software brand but the vintage of the EF library it packages.

4.1 Arithmetic / Unit Consistency

4.1.1 kg/t/kt confusion (1000× errors)

A. Current standard position. GHG Protocol Corporate Standard Ch.6 governs the calculation chain and Ch.9 the reporting content; ISO 14064-1:2018 §9.3 requires the disclosure of quantified emissions. No provision explicitly requires line-level unit notation or disclosure of the calorific basis (GCV/NCV; ISO 6976); IPCC 2006 (Vol.2, Ch.1) states that NCV is ~5% lower than GCV for coal/oil and ~10% lower for natural gas — a systematic unit-basis error that is not as conspicuous as a 1000× one. In the Rev.2 orientations the digital reporting heading may touch on this gap; there is no final text.

B. Class-1 objections. [OBJ-ISO CB-M 4.1.1 · §9.3]: the absence of a requirement for the explicit line-level notation of units and for disclosure of the GCV/NCV basis renders 10³ and ~10% basis errors undetectable on the reader's side. Status: open.

C. Carbonbench rule. For each line i, δᵢ = |log₁₀(Eᵢ,ₜ/Ẽᵢ)|. The layer is input-conditional (panel revision): if Ẽᵢ is derived from the company's own series (n≥3, median), the test is K1; if Ẽᵢ = sector-IEF×revenue proxy, the test is K2 and the threshold scales with the sectoral log-normal spread: δᵢ > max(1.5, 3·ln GSD/ln 10) (Limpert 2001). The window δᵢ ∈ [2.7, 3.3] is a signature-matching test for the 10³ hypothesis. The structural-change discriminator is embedded in the rule: a unit error is single-year/single-line and is closed by the repair test ("divide the line by 10³, refit the series"); a divestment/demerger produces a permanent level shift and does not refit.

D. Class-2 objections and defense. Four reviewers rejected the NASA MCO reference as a "canonical 10³ example" (Mishap Board Phase I, 1999: lbf·s/N·s confusion, ≈4.45×) — accepted; the text was revised to "the documented systemic cost of unit-system confusion", the base rate of the 10³ error in greenhouse gas reports [to be verified]. The K0 label could not be defended in the proxied variant — accepted, the K1/K2 distinction is given above. The false-alarm rate of the band: open item v1.1.

Divergence of opinion within the panel (resolved): The MCO attribution and the K0 label — Halvorsen accepted the objections and rewrote the rule layer-conditionally; the δ window was retained on the grounds of signature matching, and the calibration annex was deferred to v1.1.

E. Residual risk. A 1000× error propagated consistently across all lines appears internally consistent and can be caught only with a K2+ sector prior.

4.1.2 Misreading the thousands separator

A. Current standard position. The decimal marker may be either a point or a comma (22nd CGPM, 2003, Resolution 10); the BIPM SI Brochure (9th edition) recommends a space rather than a separator for digit grouping. The expression "1.234 t" may be 1.234 t or it may be 1234 t. GHG Ch.7 defines quality management; neither standard contains a requirement as to machine-readable number format.

B. Class-1 objections. [OBJ-GHG CB-M 4.1.2 · Ch.7]: absence of a requirement for a machine-readable format; a gap that could be carried into the Rev.2 digital reporting direction (there is no final text). Status: open.

C. Carbonbench rule (K0). Dual parsing: if parse_TR(x)/parse_EN(x) = 10³ᵏ and only one reading satisfies the line total (test 4.1.3), the other reading is marked as a "separator error"; if neither holds, the case is delegated to 4.1.1. For the reliability of the inference layer itself, a Mondrian (stratum-conditional) conformal guarantee is applied: coverage within the PDF-template-family × language stratum; if the stratum sample is insufficient, flag generation is avoided (abstention) (Vovk et al. framework; Angelopoulos & Bates 2023).

D. Class-2 objections and defense. The reviewers found the global exchangeability assumption indefensible across heterogeneous PDF lines; Ben-Ami defended it by narrowing the guarantee to within-stratum exchangeability — resolved; stratum-based calibration data in v1.1.

E. Residual risk. Where the same figure appears only once in the report, the dual parsing remains undecided and the decision rests entirely on the total test of 4.1.3.

4.1.3 Line total ≠ disclosed total

A. Current standard position. GHG Ch.7 (inventory quality) and ISO 14064-1:2018 §4.5 (the accuracy principle) together with §8.1–8.3 require additivity at the principle level; there is no explicit requirement for the arithmetic internal consistency of the published inventory. Recalculation is in effect deferred to the verification stage (GHG Ch.10); the greater part of the market runs under the ISAE 3410 regime rather than ISO 14064-3. Limited assurance rests essentially on analytical procedures and inquiry; tests of detail/sampling are the instrument of reasonable assurance, and the re-addition of totals (footing) is routine practice even under limited assurance [to be verified: the clause location of the relevant procedures in ISAE 3410]. The rationale for K0 is therefore not an "unaudited gap" but scope: assurance covers selected indicators, not every table of the published report.

B. Class-1 objections. [OBJ-GHG CB-M 4.1.3 · Ch.9]: the absence of a requirement for a breakdown-to-total reconciliation table leaves the additivity test to report design — because of the principle-standard/tool distinction, tool-level discipline carries no binding force. [OBJ-GHG CB-M 4.1.3b · Ch.7/Ch.10]: the fact that the assurance scope remains limited to selected indicators makes K0 necessary as an external control for the published table as a whole. Status: open.

C. Carbonbench rule (K0 — the strongest test; requires no external data). Canonical rounding envelope (panel decision):

|Σᵢ xᵢ − T| ≤ 0.5·(Σᵢ 10^(−dᵢ) + 10^(−d_T))

(dᵢ: the number of decimal places of the i-th line, d_T: that of the total). Within the envelope → no flag; envelope exceeded → the absolute and relative differences are reported; relative difference > 2% → Class-A inconsistency. Rationale for the threshold: 2% is deliberately tighter than the 5% materiality convention common in assurance practice, because the object of the test is not materiality but the integrity of the arithmetic process — a difference above the envelope is an indicator of a process error independently of its magnitude; differences exceeding 5% are additionally marked with an "above-materiality" label. The region between the envelope and 2% is delegated to the gray-band analysis of 4.4.1. GUM §7.2.6 shows the consistency of the envelope with the reporting language; the envelope is a deterministic worst-case bound and is consistent with the stochastic δ/√12 model of F.2.2.1 — it is not derived from it (referee correction: Vandermeer).

D. Class-2 objections and defense.

Divergence of opinion within the panel (resolved): Three contributions had given three different tolerance formulas (Halvorsen ½·10⁻ᵈ·(n+1); Reinholt 0.5·Σ10^(−dᵢ); Ben-Ami (n+1)·δ̂/2). Upon Marumo's and Vasquez-Torres's demand for a "single canonical formula", the panel declared canonical the Σ form (with the total's own resolution added), which gives a single provision under mixed resolution; the other two are special cases of a single d.

E. Residual risk. A table forced into additivity (forced-additivity) passes this test; the masked line-level manipulation is left to layers 4.4/4.5.

4.2 Double / Under Counting

4.2.1 Transfers between facilities

A. Current standard position. GHG Ch.3 (organizational boundary — consolidation approach) and Ch.4 (operational boundary; the double-counting prevention function of the scope structure); ISO 14064-1:2018 §5.1. National inventory parallel: IPCC 2006 Vol.1 Ch.6 (QA/QC and Verification) lists the Reference Approach comparison as a verification technique — the difference between two independent aggregation paths is a diagnostic instrument.

B. Class-1 objections. [OBJ-ISO CB-M 4.2.1 · §5.1]: the absence of a requirement to separate intra-site transfer eliminations in the report makes it impossible for the Σsite test to distinguish "error" from "undisclosed elimination". How the two verification regimes (ISO 14064-3 / ISAE 3410) test this distinction [to be verified]. Status: open.

C. Carbonbench rule (K1 + K2). K1: |Σᵢ Eᵢ − E_consolidated| / E_consolidated > τ₁ and no elimination explanation in the text → flag. K2: robust-z screening over facility-level IEF (Eᵢ/productionᵢ); a facility with |zᵢ| > 3 is a candidate for transfer-induced double counting. The S1–S2 intersection of cogeneration belongs to 4.2.2.

D. Class-2 objections and defense. Demirtaş-Whitfield found the "statistical difference" analogy unsupported at the substantive level; Marumo defended it as operating at the level of the mechanism (two-path reconciliation), citing IPCC Vol.1 Ch.6, and a clarification was added to the text: "the analogy concerns the reconciliation principle, not elimination accounting." Partly resolved.

E. Residual risk. In reports where no facility breakdown is disclosed the test is entirely blind; this falls into the class of AD absence and is reported as such.

4.2.2 S1–S2 overlap (cogeneration)

A. Current standard position. GHG Ch.4 provides that emissions from sold energy are not deducted from the inventory but reported as information; App.A is the framework for electricity accounting; the WRI/WBCSD CHP allocation tool (efficiency method) is actual market practice. ISO 14064-1:2018 Annex E (normative) governs imported/exported energy; report content is in §9.3. In the Scope 2 layer, the Scope 2 Guidance (Sotos 2015) requires dual (location/market) reporting, conditional on operations in markets where contractual instruments exist. The Rev.2 Scope 2 consultation (Oct 2025–Jan 2026) has taken place; there is no final text.

B. Class-1 objections. [OBJ-GHG CB-M 4.2.2 · Ch.4 + App.A]: the absence of a requirement that the allocation method applied to sold energy be explained in the public report; the phrase "reporting as information" lacks binding force. [OBJ-ISO CB-M 4.2.2 · §9.3/Annex E]: the explicit requirement status of allocation parameters in the §9.3 content list [to be verified]. Status: open.

C. Carbonbench rule. K1 (energy-balance identity — the panel's uncontested core): where a sales disclosure exists, the equality S1 + allocated sales = total fuel emissions is established; the reported S1/gross-combustion ratio is tested for remaining within the efficiency-method allocation band [α_min, α_max]. K2 (plausibility): conformity of IEF_CHP with the IPCC 2006 Vol.2 Ch.1–2 default-EF band for the fuel type; ISO 6976 for energy-basis conversions (GCV/NCV). The Scope 2 IEF test is conditional: IEF_S2 = E_S2,location/MWh produces a flag only where (i) a single-country/single-region statement of operations or (ii) a regional MWh breakdown is available (reference band: eGRID public; IEA factors are license-restricted — coverage note in 4.5.2); otherwise the output is a ranking note and τ is written conditional on the uncertainty of the regional mix [to be verified: derivation of τ from the eGRID subregion dispersion]. Direction-conditionality applies: low-S1 in the reporting year and high-S1 in the base year are the preferred directions.

D. Class-2 objections and defense. Five referees found the "10–40% inflation" claim unsourced — accepted; the claim was withdrawn; the effect will henceforth be derived from s (sales share) and efficiency parameters [to be verified: WRI/WBCSD scenario computation v1.1]. The objection to the τ≈15% single-region assumption was partly accepted (conditional rule above); the objection "the test implicitly assumes AD" was rejected — the IEF is constructed solely from declared MWh. The generalization of Scope 2 dual reporting was narrowed to the conditional provision of Sotos 2015. The ISO 6976 citation correction was accepted.

E. Residual risk. In reports where MWh and sales are not disclosed, all CHP/S2 tests are left without an IEF; the gap is closed not by a rule but by voluntary activity data.

4.2.3 S2–S3 overlap (leased assets)

Editor's note: this leaf has received no panel contribution; the skeleton below is a v1.1 open item.

A. Current standard position. GHG Ch.4 ties the scope assignment of leased assets to the consolidation approach (operational control / financial control / equity share); the GHG Scope 3 Standard governs leased assets under category 8 (upstream) and 13 (downstream). ISO 14064-1:2018 §5.2 frames the reporting boundary and Annex H significant indirect emissions. Neither standard contains an explicit requirement to disclose, at report level, the interaction of lease classification × consolidation approach.

B. Class-1 objection (candidate). [OBJ-GHG CB-M 4.2.3 · Ch.4 / Scope 3 Std cat.8-13]: the absence of a requirement for a reconciliation disclosure that would prevent the same asset from appearing simultaneously in the lessee's S2 and the lessor's S1 (or in one party's S3). Status: open, v1.1.

C. Carbonbench rule (skeleton, K3). Double counting cannot be detected from a single company's report (the counterparty's report is required); the Carbonbench output is the class "not detectable — cross-report matching required". A weak within-report trace: the absence of simultaneous opposite movement in the S2/S3-cat.8 lines while the lease portfolio disclosure changes.

D. Class-2. Not yet reviewed — open item v1.1.

E. Residual risk. The whole leaf remains outside the rules until v1.1; this is the honest scope disclosure.

4.3 Application of GWP

4.3.1 Wrong multiplier by gas

A. Current standard position. GHG Ch.9 requires the six gases to be reported separately and in CO₂e terms; Ch.5 ties base-year recalculation upon a change of methodology (and hence of GWP version) to a materiality threshold determined by the company. ISO 14064-1:2018 §6.2.2–6.2.3 governs data/model selection; §9.3.1 already requires that the GWP values used and their source be disclosed — therefore no version-disclosure objection can be raised on the ISO side; the objection has been narrowed to the GHG side alone (reviewer correction: Vandermeer). The sets: SAR (CH₄ 21, N₂O 310), AR4 (25/298), AR5 (28/265), AR6 (fossil CH₄ 29.8 / non-fossil 27.0; N₂O 273; the value of 27.9 in circulation [to be verified: 7.SM.7 / the feedback-inclusive variant row]) (Forster et al. 2007; Myhre et al. 2013; Forster et al. 2021). SF₆ AR4 = 22,800; the AR6 value [to be verified: Table 7.15/7.SM.7 row confirmation].

B. Class-1 objections. [OBJ-GHG CB-M 4.3.1 · Ch.9]: the absence of a requirement to disclose the GWP set at version (AR) level surrenders comparability to version indeterminacy; clarification is expected in Rev.2, but there is no final text. [OBJ-GHG CB-M 4.3.1b · Ch.5]: whether a version update triggers a base-year recalculation depends on a threshold chosen by the company — incentive-incompatible, because the direction of preference reverses in the base year. ISO leg: downgraded in view of the existing requirement of §9.3.1. Status: both of the GHG objections are open.

C. Carbonbench rule (K1, panel-revised). Implied GWP: g_z = E_CO2e,g / m_g. The set assignment is performed not from a single gas but from the gas vector; discriminability is resolution-conditional: SF₆ is the primary witness; N₂O is a strong witness for the AR4/AR5 distinction (298→265; ~11%) but a weak one for the AR5/AR6 distinction (265→273; ~3% — under coarse rounding the discriminating power collapses; the constraint accepted for CH₄ applies to N₂O as well); CH₄ votes only in the SAR/AR4 distinction (21 vs 25; 19%). Resolution-conditional tolerance: τ_g = max(0.5%; 3·[δ̂_m/(√12·m_g) ⊕ δ̂_E/(√12·E_g)]) (GUM F.2.2.1; the combination of two rounding residuals). The within-AR6 fossil/non-fossil CH₄ distinction does not count as a hybrid set; AR6 is represented for CH₄ as the set {27.0; 29.8}. If there is no discriminating gas, the output is the label "version indeterminable" — not an undefinedness but an honest result class. If the base-year and reporting-year sets differ, a direction-conditional flag; a silent set change is delegated to 4.5.2. Until calibration data are added, the output is not a "flag" but a "priority signal".

D. Class-2 objections and defense.

Divergence of opinion within the panel (resolved / partly open): Four referees showed that the τ=2% and δ(v*)≤0.5% thresholds cannot discriminate AR5/AR6 via CH₄ (difference 0.36%) and are blind to rounding residue. Accepting the Marumo and Demirtaş-Whitfield objections, the rule was re-derived in the form gas-vector + discriminating-gas + resolution-conditional τ. Referee addendum (Vandermeer): the AR5/AR6 discriminating power of N₂O (~3%) also collapses under coarse rounding — the constraint was written into the rule; the "primary witness" status of N₂O was restricted to the AR4/AR5 distinction. Demirtaş-Whitfield's counter-argument was placed on record: the economically most expensive target of the test is not the AR5/AR6 subtlety but the base-year-directed SAR/AR4 residue (CH₄ 19%) — partial identifiability does not eliminate the power altogether. Confirmation of the 27.9 line and τ calibration: open, v1.1.

E. Residual risk. In reports where gas mass is never disclosed, the implied-GWP test is blind; detection devolves to the 4.5 layer.

4.3.2 Gas line not converted to CO₂e

A. Current standard position. A gas line entering the total with GWP=1 (or not entering at all) is a quantification defect against the GHG Ch.6 calculation chain and ISO 14064-1:2018 §6.2.2–6.2.3; §8.3 quality management provides the framework at principle level.

B. Class-1 objections. [OBJ-ISO CB-M 4.3.2 · §6.2.3/§8.3]: verifiable presentation at report level of the triple mass + multiplier + CO₂e is not binding; where the identity cannot be audited, the implied-GWP diagnosis works only partially. Status: open.

C. Carbonbench rule (K1). Residual analysis: r = T_disclosed − Σ_g m_g·GWP_g. If there is a g with |r − m_g(1−GWP_g)|/T_disclosed ≤ ε, a GWP=1 flag; if r ≈ −m_g·GWP_g, a skipped-line flag; if g_z is of the order of GWP², a double-multiplication flag; if E_disclosed ≈ Σm_g (the raw mass total), it is a unit-label error — referred to 4.1.1. Typical effect (panel-revised): for SF₆ an under-disclosure of about four orders of magnitude (AR4: 22,800-fold — Forster et al. 2007; AR6 value [to be verified]); for N₂O 298-fold under AR4. Since the mass is small, it remains within the total band; the detection power of total-level tests is lowest in this mode.

D. Class-2 objections and defense. The objection that the phrase "25,200 times" was built on an unverified number (Okonkwo-Lindqvist, Reinholt, Ben-Ami, Vasquez-Torres) was accepted: the quantitative claim was rewritten with the AR4 value; AR6 row confirmation [to be verified]. Resolved.

E. Residual risk. The ε threshold has not been calibrated; for gases of small mass the rounding residual may erase the signature (a v1.1 calibration requirement).

4.4 Rounding and Reporting Precision

4.4.1 Breakdown inconsistency from coarse rounding

A. Current standard position. A disclosure with resolution δ covers the true value with a uniform residual over (−δ/2, +δ/2); the standard uncertainty is δ/√12 (JCGM 100:2008, F.2.2.1). GHG Ch.9 enumerates the reporting content; there is no requirement for a rounding reconciliation between breakdown and total. Under the ISAE 3410 regime a difference below materiality does not affect the opinion (general reference).

B. Class-1 objections. [OBJ-GHG CB-M 4.4.1 · Ch.9]: absence of a reconciliation requirement — both verification regimes leave the gray band unaudited. Status: open.

C. Carbonbench rule (K1, panel-revised). The primary criterion is a deterministic canonical envelope: D = |Σxᵢ − T| ≤ 0.5·(Σᵢ10^(−dᵢ) + 10^(−d_T)) → rounding-consistent, no flag. The statistic z = D/(δ̂·√(n/12)) is used only in the gray-band ranking, with the note "upper evaluation under independence"; z>3 → escalate to 4.1.3. A single row showing a resolution that deviates from the others is additionally reported as a forced-additivity diagnostic sign.

D. Class-2 objections and defense. Marumo and Vasquez-Torres refuted the independence assumption of Var(D)=nδ²/12 (forced additivity → negative correlation → D≈0). Ben-Ami rewrote the rule with partial acceptance and dissented on one point: D≈0 is not a false negative for 4.4.1 — the object of the test is additivity, and a force-fitted table is additive; the row-level manipulation being masked is the domain of 4.4.2/4.5. Resolved.

E. Residual risk. Since δ̂ is estimated from the reports, the gray-band classification leans on the sector prior; in the rare sectors where the prior is biased, a false negative may persist.

4.4.2 Overstated significant figures (false precision)

A. Current standard position. GUM reporting discipline: uncertainty to at most two significant digits, with the result consistent with it (JCGM 100:2008, §7.2.6). EF uncertainties are tens of percent depending on the category (IPCC 2006, Vol.1 Ch.3, Frey). In spend-based Scope 3 with u_r ≥ 30%, a disclosure of "1,234,567 tCO2e": while the justified number of digits is s* = max(1, ⌈−log₁₀(u_r)⌉+1) ≈ 2, a seven-digit disclosure presents a precision disproportionate to the disclosed uncertainty and stands in tension with the accuracy principle of ISO 14064-1:2018 §4.5.

B. Class-1 objections. [OBJ-GHG CB-M 4.4.2 · Ch.7/Ch.9]: there is no requirement tying the reported digit precision to the Ch.7 uncertainty assessment. [OBJ-ISO CB-M 4.4.2 · §8.3/§9.3]: there is no provision locking the two clauses together; §4.5 remains at principle level. Status: both open.

C. Carbonbench rule (K2). P = s_reported − s*; if u_r is disclosed it is taken from there, otherwise it is assigned conservatively from the category-typical IPCC/GHG Ch.7 class; P ≥ 2 → false-precision flag. Direction-conditional addendum: the rounding-residue asymmetry between base year and reporting year is tested with a sign test conditional on the year role (binomial; Wilson 1927) — the digit-level trace of the base-year inflation hypothesis. Terminal-digit distribution scan has been removed from v1.0: in a single report the power is negligible; only at the multi-year/multi-company pool level, with the correct citation (Nigrini 2012, last-digit tests [to be verified: section no.]; Benford 1938 is only the historical basis of the leading-digit family) — open item v1.1.

D. Class-2 objections and defense.

Divergence of opinion within the panel (resolved): Four reviewers determined that the Benford (1938) citation is the wrong family for a last-digit test; Ben-Ami accepted this, the citation was moved to the Nigrini line and the test was withdrawn from v1.0. The conformal coverage claim was defended with the Mondrian narrowing (see 4.1.2). The Guo 2017 mirror is retained: a detection tool does not produce flags with uncalibrated confidence.

E. Residual risk. Since u_r itself rests on the report disclosure or on a category prior, the false-positive rate of P varies by sector, and until the v1.1 calibration the flag remains at the level of a "request for justification".

4.5 Consistency Across Years

4.5.1 Undisclosed large deviation

A. Current standard position. GHG Ch.5 leaves the materiality threshold for base-year recalculation to the company; Ch.7 governs quality and Ch.9 disclosure. ISO 14064-1:2018 §6.4 governs the base year, §8.3 uncertainty and §9.3 report content; §4.2–4.6 carry consistency at principle level. Base-year provisions are on the agenda in the Rev.2 consultation directions; there is no final text. The prevalence of base-year inflation is treated in this chapter as a hypothesis: in field practice the majority of recalculations originate in M&A/data improvement, and SBTi's ~5% recalculation threshold and its validation process exist [to be verified: base rate; SBTi threshold text]; the direction-conditional design rests on the asymmetry of the incentive structure, not on a claim of empirical dominance.

B. Class-1 objections. [OBJ-GHG CB-4.5.1 · Ch.5]: the absence of a numerical materiality requirement leaves the choice of threshold — varying from year to year and from direction to direction — without binding force; the structure is incentive-incompatible because the direction of preference reverses in the base year. [OBJ-ISO CB-4.5.1 · §6.4/§9.3]: no quantitative definition of "significant deviation" is required. Status: both open.

C. Carbonbench rule (K2, panel-revised). The test unit is log-IEF (emissions/turnover or declared production; multiplicative error structure — Limpert 2001; Fenton 1960). The prediction is turnover-volume weighted Bühlmann-Straub estimators within the sector × size stratum (Bühlmann 1967; Bühlmann & Gisler 2005, Sec. 4); μ_sector is estimated robustly (median); the currency/inflation normalization assumption is disclosed explicitly. The estimation uncertainty of k̂ is added to the band by GUM §4.1 propagation; a flag is produced only when the combined uncertainty is exceeded. The direction-conditionally narrowed threshold c′ is fixed to the target false-alarm probability by means of the Wilson (1927) interval; its cost is written as a separate line in the error budget. On the point-screening side, the center/spread are constructed from a single robust family: median + MAD/0.6745 (M̄R/1.128 has been removed). The output is not a verdict but a duty to explain.

D. Class-2 objections and defense.

Divergence of opinion within the panel (partly open): Four reviewers argued that the structural parameters (v, a) cannot be estimated from a 5–10 year series. Okonkwo-Lindqvist partly rebutted this: the parameters are estimated from the cross-section of the collective (hundreds of companies × short series); a short individual series only shrinks Z — that is the model's reason for existing. The part found justified (plain Bühlmann → volume-weighted Bühlmann-Straub; propagation of estimation uncertainty into the band; a robust center for a "dirty collective") was closed by revision. The false-alarm cost of the direction-conditional c′ was accepted and written into the budget. Collective-level calibration data: open, v1.1.

E. Residual risk. The sector collective may itself be contaminated by the same failure modes; a contaminated prior affects the ranking rather than the verdict, but the risk of normalizing a systematic sector-wide bias remains until the v1.1 calibration.

4.5.2 Burying a method change in the number

A. Current standard position. GHG Ch.5 requires base-year recalculation upon a "significant" method change but does not quantify significance; a factor-vintage update (e.g. eGRID's publication with an approximately two-year lag, or a move from the national average to a subregion) is not explicitly listed as a trigger. ISO 14064-1:2018 §6.2.3 (model) and §6.4 are a principle-level framework. The greater part of the verification market runs on ISAE 3410; the application of analytical procedures specifically to series breaks is not conditioned at tool level in either regime [to be verified: the ISAE 3410 analytical procedures clause]. The software/EF-library layer is a separate sub-mode: what produces the break is not the individual software brand but the packaged EF library's vintage (DEFRA, ecoinvent, EPA, IEA); a change of software or supplier (see Introduction, footnote 1) produces a silent series break as the carrier of this vintage discontinuity.

B. Class-1 objections. [OBJ-GHG CB-4.5.2 · Ch.5/Ch.9]: the absence of a disclosure requirement for a change of software/EF-library vintage; incentive-incompatible, because the break can be reported as a reduction. Status: open.

C. The Carbonbench rule (K3, panel-revised). A self-starting CUSUM on the log-IEF series (Hawkins & Olwell 1998; Hawkins 1987): the parameters are estimated by sequential standardization; the decision limit h is tied to the target false-alarm probability by permutation calibration, and the signal probability is reported together with the output. Finding condition: CUSUM signal ∧ (no recalculation/method/software disclosure) ∧ (no simultaneous break in the activity-proxy series). Direction-conditional set-up: a downward direction is monitored in reporting years, an upward one in the base-year window. S2 variant: ΔIEF_S2(t,t−1) − ΔEF_grid,official(t,t−1) > τ with no method explanation → "undisclosed factor change" flag. Applicability note: comparison against official grid EFs is limited to geographies in which public sources such as eGRID exist; IEA factors are license-restricted — outside eGRID geographies the variant works only through intra-company series consistency, with the scope limitation disclosed. Post-signal break severity is pooled across the collective, modeled as log-normal and written into the error budget (Klugman/Panjer/Willmot; if the pool is thin, open item v1.1). For the small-persistent-shift class, Shewhart's structural insensitivity is the rationale for preferring CUSUM (Montgomery, SQC). Until the calibration annex arrives, K3 outputs are only an audit-prioritization signal.

D. Class-2 objections and defense.

Divergence of opinion within the panel (resolved): Reinholt objected to the claim that "the ARL is undefined in a 6-point series": the ARL is a property of the monitoring chart, not of the length of the observed series; what is inapplicable is only the known-parameter design values (k=0.5; h=4–5; ARL₀≈370). As a solution, the self-starting framework proposed by Halvorsen was adopted as is; the wholesale rejection of CUSUM was rejected, since no better tool for short series was put forward. Accepted as a v1.1 calibration-annex requirement.

E. Residual risk. A gradual method shift spread across the year does not produce a step function and may escape CUSUM; this class has been transferred to the EWMA layer as an open item.

End of Chapter: Error Budget

Objection Index

Bibliography

• JCGM 100:2008, GUM (§4.1; §7.2.6; Annex F.2.2.1) · JCGM 200:2012, VIM (md. 1.19)
• IPCC 2006 Guidelines, Vol.1 Ch.3 (Frey et al.), Ch.6 (QA/QC and Verification); Vol.2 Ch.1–2
• IPCC SAR (1995); Forster et al. 2007 (AR4 WG1 Ch.2); Myhre et al. 2013 (AR5 WG1 Ch.8, Table 8.7/8.A.1); Forster et al. 2021 (AR6 WG1 Ch.7, Table 7.15)
• WRI/WBCSD, GHG Protocol Corporate Standard (rev. ed.), Ch.3–7, 9–10, App.A; Scope 2 Guidance (Sotos 2015); Scope 3 Standard (cat. 8, 13); CHP Allocation Tool
• ISO 14064-1:2018 (§4.2–4.6, §5.1–5.2, §6.2.2–6.2.3, §6.4, §8.1–8.3, §9.3/§9.3.1, Annex E, Annex H); ISO 6976
• ISAE 3410 (IAASB, 2012) — general reference
• Bühlmann 1967 (ASTIN Bulletin); Bühlmann & Gisler 2005 (Springer, Ch. 4); Klugman/Panjer/Willmot, Loss Models
• Montgomery, Introduction to Statistical Quality Control; Hawkins & Olwell 1998, Cumulative Sum Charts and Charting for Quality Improvement; Hawkins 1987; AIAG MSA 4th edition (2010)
• Limpert et al. 2001 (BioScience); Fenton 1960 (IRE Trans. Comm.); Wilson 1927 (JASA); Benford 1938 (Proc. Am. Phil. Soc.)
• Guo et al. 2017 (ICML); Angelopoulos & Bates 2023; Vovk et al. (conformal framework)
• BIPM, SI Brochure 9th edition; 22nd CGPM (2003) Resolution 10; NASA, MCO Mishap Investigation Board Phase I Report (1999)
• US EPA, eGRID (annual); IEA, Emission Factors (annual; license-restricted access); IEA, World Energy Balances (methodology)
• UK Government GHG Conversion Factors (DEFRA/DESNZ, annual); the ecoinvent database (versioned)

[to be verified] list: ISAE 3410 internal clause structure (footing/re-addition; analytical procedure; consolidation eliminations) · AR6 CH₄ 27.9 variant line (7.SM.7) · AR6 SF₆ GWP100 line confirmation · the requirement status of allocation parameters in ISO 14064-1 §9.3 · the verbatim text on the GWP source in the GHG Ch.9 required-information list · Nigrini 2012 last-digit tests section no. · peer-reviewed literature applying last-digit/Benford tests to greenhouse gas inventories · base rate of the 10³ error in greenhouse gas reports · WRI/WBCSD CHP efficiency-method scenario calculation (v1.1) · derivation of τ from eGRID subregion dispersion · final version of the GHG Rev.2 base-year consultation text · base rate of base-year inflation and the empirical distribution of recalculation causes (M&A/data improvement vs directional) · primary-text confirmation of the SBTi ~5% recalculation threshold and validation process

EDITOR'S IMPLEMENTATION NOTE (Vandermeer corrections): (1) The OBJ-ISO GWP objection was dropped — the §9.3.1 requirement was acknowledged, the objection was narrowed to GHG Ch.9, and a "dropped" line was added to the index. (2) The N₂O testimony was rewritten as resolution-conditional (AR4/AR5 ~11% strong; AR5/AR6 ~3% weak). (3) The Envelope–F.2.2.1 relation was corrected from "derives from" to "is consistent with". (4) The definition of limited assurance was corrected to analytical procedures + inquiry; the K0 rationale was moved to the scope limitation. (5) The 2% threshold was justified against the 5% materiality convention. (6) Software brands were demoted to a footnote and the break was tied to the library vintage; a note on IEA licensing/non-eGRID applicability was added to the S2 variant. (7) "The dominant play of the SBTi era" was converted into a hypothesis requiring documentation, and [to be verified] was added. (8) The Akerlof attribution was removed from the body text and from the bibliography. (9) ISO 17025 was deleted from the bibliography. (10) The AIAG MSA opening was reduced to a single sentence. (11) "The most insidious mode" and "the illusion of precision" were replaced with neutral descriptive language.

CHAPTER 5 — REPORTING AND PUBLICATION

(v1.2 — Vandermeer referee report incorporated)

Introduction: The Map of the Error Universe

The object of this chapter is not the inventory itself, but the inventory's published representative. By the Carbonbench constraint we have only public reports; activity data does not exist unless voluntarily disclosed. In this regime the report is not the last mile of the measurement chain but the measuring instrument itself: in the language of metrology, a quantity value is a number and consists of a reference (JCGM 200:2012, VIM, 1.19), and a result is complete only when it is reported with its unit and its uncertainty (JCGM 100:2008, GUM, §7). A breach of this axiom at the report layer severs at the cover page the traceability (VIM 2.41) established at the stack with ppm precision.

A corporate emissions report contains four independent "readings" of the same inventory: the main table, the technical annex, the narrative text, the chart. The industrial reconciliation principle (reproducibility in the sense of ISO 5725-1) requires these readings to coincide; non-coincidence is one of the rare error classes testable without activity data. The chapter's taxonomy has five branches: 5.1 internal contradictions (inconsistency across readings), 5.2 missing metadata (absence of unit/basis/citation), 5.3 format and access (machine-unreadability, terminology, silent revision), 5.4 presentation manipulation (metric/scale/base selection), 5.5 the assurance layer (communication of level and scope).

The rules settle into five layers: K0 entry gate (machine-readability, version archive), K1 intra-report deterministic consistency and metadata completeness, K2 within-series/derived-reading tests, K3 cross-consistency (IEF-based), K4 population-level statistical evaluation. Three chapter-level common items are stated at the outset: (i) When dozens of fields per report are screened, generating flags with a single α produces multiple-testing inflation; all K3/K4 flags are reported under false-discovery-rate control. Within-report tests are typically positively dependent; the Benjamini–Hochberg (1995) procedure is valid under the PRDS (positive regression dependency) condition (Benjamini & Yekutieli 2001); for test families whose dependency structure cannot be determined, the conservative Benjamini–Yekutieli correction is used. (ii) The loss function is time-dependent: a low value in the reporting year and a high value in the base year may be incentive-compatible (base-year inflation); all tests are constructed direction-conditional — but the direction–incentive assignment is a hypothesis, not a verdict, and legitimate generating mechanisms (Ch.5 recalculations) are excluded as a condition in every test. (iii) The assurance universe is plural and in transition: ISAE 3410 is being superseded by the IAASB's ISSA 5000 (December 2024); ISO 14064-3 holds a significant share of the verification market — particularly among non-audit verifiers; in the EU, CSRD (Directive (EU) 2022/2464) has made limited assurance mandatory. Throughout the chapter, assurance references are made to this plural regime; no rule is anchored to a single standard. The IEF (implied factor) is the chapter's central instrument; however, the applicability precondition of every IEF rule is that the denominator has been disclosed in the report — AD-absence and AD-incorrectness are distinct failure modes.

5.1 Internal Contradictions (CB-M 5.1.1–5.1.3)

A. Current standard position. GHG Protocol Corporate Standard Ch.1 sets out the accuracy/consistency principles, Ch.7 inventory quality management, and Ch.9 the list of information to be reported. ISO 14064-1:2018 §4.5 governs accuracy as a principle, §8.1–8.3 quality as a process, and §9.3 report content at the level of a requirement. In both texts, however, the absence of a requirement for intra-report cross-reconciliation is striking: because of the principle-standard/tool distinction, the "main table = annex table" discipline carries no binding force at tool level. In the assurance regimes (ISAE 3410 and its successor ISSA 5000; ISO 14064-3) the analytical procedures of limited assurance typically focus on the GHG disclosure itself; ISAE 3410 contains a provision on "other information" (around para. 74 [to be verified: the exact paragraph number and its coverage with respect to emission annexes]), so the procedural coverage of the annex-table/chart layer is not an "absence of requirement" but a question of the provision's field of application and of engagement scope. For Rev.2 there are only proposed directions; there is no final text.

B. Class-1 Objections. - [OBJ-GHG CB-M 5.1.1 · Ch.9 + Ch.7] The reporting section gives an informative list; there is no requirement that the listed items reconcile with one another; the quality framework of Ch.7 leaves this at the level of a recommendation. - [OBJ-ISO CB-M 5.1.1 · §9.3 + §8.2 + §4.5] No cross-consistency bridge has been established between the report-content clauses and the quality-management clauses; the §4.5 accuracy principle has not been reduced to an instrument-level test — the absence of the requirement makes the principle unauditable.

C. The Carbonbench Rule. 5.1.1 (K1, v1.2): d = log₁₀(x_main/x_annex); |d| ≤ ε₀ → passes. Definition of ε₀: ε₀ = log₁₀(1 + 0.5·10^(1−s)); s is the number of significant digits of the coarser of the two readings — the threshold thus rests on the same ground as the rounding tolerance of 5.1.2. |d−3| < 0.05 → "unit confusion" sub-code (kg↔t signature; the canonical example is an anonymized ready-mix concrete case: main table kgCO₂e, SASB annex tCO₂e — the company identification is held in the case archive and is not published in the text); other d → "value contradiction", escalation to 5.1.2. 5.1.2 (K1): δ = |x_text − x_table|/x_table; the tolerance is half of the significant digit of the text: δ ≤ 0.5·10^(−s) → rounding, above that → contradiction. The sign statistic S = Σ sgn(x_text − x_table) is reported direction-conditionally; a systematic departure from zero is a "special cause" signal (Montgomery, SQC). 5.1.3 (K2, v1.1): (i) Digitizer competence is demonstrated once, on a set of reference charts with known values, through an offline GRR study (≥2 engines/operators × repetitions; AIAG MSA 4th ed.); the tolerance band T = ±3σ_GRR is fixed — it carries no control-chart claim. (ii) The common axis-calibration component is separated out using anchor points; the test is chart-level: max|ε̃ᵢ| > T → "chart-data contradiction". (iii) Dual independent digitization; if the Wilson (1927) upper bound of the disagreement rate exceeds the threshold, the field falls to human verification.

D. Class-2 Objections and Defense [OBJ-CB]. The first draft's I-MR control chart proposal drew three objections: violation of the Phase-I requirement (estimating control limits requires ~20–25 observations, whereas a typical chart contains 3–8 bars; Okonkwo-Lindqvist, Ben-Ami), the invalidation of the standard limits by the positive correlation arising from a common axis-calibration error (Vasquez-Torres), and the impossibility of setting up a GRR design on a single-pass line (Ben-Ami). The first two were accepted and the control-chart claim withdrawn; the third was partly refuted — MSA capability is demonstrated not in the production flow but through a designed offline study, and the device remains valid. Double-independent digitization is complementary, not a substitute: agreement between two engines sharing a common axis bias is misleading, and reference-set GRR closes this blind spot. Vandermeer round (v1.2): (i) ε₀ undefined (V-6): fully accepted; the definition was written into the body of the rule with s-digit consistency. (ii) The case identification cannot be verified (V-5): accepted; the case was anonymized and the citation archived.

Divergence of opinion within the panel (resolved): I-MR vs fixed tolerance (Reinholt ↔ Okonkwo-Lindqvist/Ben-Ami/Vasquez-Torres). Decision: the combined text of graph-level fixed tolerance + offline GRR + double-independent digitization; the control-chart language was removed.

E. Residual risk. Reconciliation tests detect only the contradiction; which of the two readings is correct cannot be determined from public data.

5.2 Missing Metadata (CB-M 5.2.1–5.2.3)

A. Current standard position. GHG Corporate Standard Ch.9 requires methodologies to be reported, Ch.6 establishes the EF hierarchy, App.A addresses electricity; the GHG Protocol Scope 2 Guidance (WRI 2015) tightens the method disclosure with the location/market distinction and the dual reporting requirement. ISO 14064-1:2018 §9.3 enumerates the report content (including the GWP source), §6.2.2 governs data selection, and Annex E is normative for electricity. In assurance regimes, metadata is a precondition for the accessibility of the "suitable criteria" to the user (general reference).

B. Class-1 Objections. - [OBJ-GHG CB-M 5.2.1 · Ch.9] A methodology reference is required; the absence of a table-level unit disclosure requirement leaves machine verifiability without binding force. - [OBJ-ISO CB-M 5.2.2 · §9.3] The GWP source is part of the content; the absence of a requirement to declare the calorific basis (NCV/GCV) leaves comparison with the IPCC default indeterminate in an incentive-incompatible way. - [OBJ-GHG CB-M 5.2.2 · Scope 2 Guidance] A method statement is required; the absence of an explicit requirement to disclose EF vintage makes vintage mixing unauditable. - [OBJ-GHG CB-M 5.2.3 · Ch.6 + Ch.9] The EF hierarchy governs selection; the absence of a requirement for a line-level source-year-version identification leaves traceability to voluntary practice. On the assurance side it appears as a problem of criteria accessibility [to be verified: relevant clause number].

C. The Carbonbench Rule. 5.2.1 (K1+K3, v1.2): K1: for every numeric field unit_present ∈ {0,1}. K3 (only in the subset whose denominator is disclosed): |log₁₀(IEF_reported/IEF_expected)| ≥ 2.5 → unit-confusion flag; IEF_expected is the median, on the log scale, of the reported IEFs in the same sector-year cell. Threshold rationale (revised): in lognormal spreads the typical multiplicative standard deviation σ* lies in the range [1.5; 3] (Limpert et al. 2001); even if σ* is taken as 3, log₁₀σ* ≈ 0.48 decades, and a 2.5-decade deviation lies more than ≥5 multiplicative σ from the median. The threshold is not a claim about sector-IEF dispersion but merely a conservative screening bound targeting the 10³ family [to be verified: the empirical σ* distribution of sector-year IEF cells]. 5.2.2 (K0/K1+K3, unified v1.2): K1: basis_declared, GWP_declared, method, boundary ∈ {0,1}; for Scope 2 DUAL = 1[both methods present]. K3 (only in the subset where fuel energy/MWh is disclosed): r = IEF_gas/EF_IPCC,NCV; r ∈ [0.89; 0.92] ∪ [1.09; 1.12] → "suspected basis mismatch, low specificity". The two arms are screened symmetrically and both are interpreted primarily as a disclosure-basis signature (NCV/GCV definitions: ISO 6976; NCV ≈ 0.90×GCV for natural gas, IPCC 2006 Vol.2 Ch.1); no incentive-direction is assigned to the branches — legitimate mechanisms such as European billing being GCV/kWh-based fall into the same band (Vasquez-Torres record). The signal alone produces no finding; it triggers the 5.2.2 query only when combined with a K0/K1 metadata-deficiency flag; if the disclosure basis is stated as GCV the flag is dropped. Discriminating power is established at portfolio level, not at point level: in a multi-site/multi-year subset, a unimodal clustering of r around 0.90 is a signature that legitimate variation does not predict (FDR-controlled). K4: flag for an undisclosed within-series break caused by a change of GWP set (CH₄: 25→28→27.0–29.8; N₂O: 298→265→273). Electricity cross-section: z = (IEF_elec − EF_grid,official)/EF_grid,official; |z| > τ ∧ no method label → K1 escalation (not a ruling on cause, but a materiality escalator); |z| ≤ τ supports the location-based consistency hypothesis. 5.2.3 (K1+K3/K4, v1.2): K1: citation score M = Σwᵢ·1[fieldᵢ present], fields = {source, year, version, scope}; M < threshold → traceability-deficient (the pedigree assessment remains undefined; Weidema & Wesnæs 1996; Ciroth 2016). K3: a grid IEF that matches no published annual factor within a ±5% band. K4 (revised): in short IEF series (typically 3–10 points) the Phase-I requirement of CUSUM cannot be met — consistent with the objection accepted in 5.1.3, the control-chart claim is withdrawn here as well. In its place, a successive log-difference test: |Δln IEF_t| > κ → "break candidate"; κ is calibrated not from a single series but from the distribution of year-differences in the portfolio cross-section. Break candidate + low M → the hypothesis of an "undisclosed library/supplier change" (a software-layer failure mode: the company most often selects not the EF but the software).

D. Class-2 Objections and Defense [OBJ-CB]. (i) IEF_expected undefined (Reinholt R-2): accepted; the reference distribution (sector-year median) and the applicability precondition were written into the text. (ii) the specificity of the r band (Halvorsen OBJ-H4, Marumo OBJ-4, Okonkwo-Lindqvist, Ben-Ami OBJ-3): accepted — country-specific NCV/EF discretion (Tier 2), the oxidation factor and, in particular, the GCV/kWh basis of European billing fall within the same band; the signal was downgraded from "signature" to "low-specificity suspicion, K1-support". Partial rebuttal: the CO₂-EF uncertainty of natural gas is narrow compared with that of coal [to be verified: IPCC 2006 Vol.2 Table 2.2 95% interval]; the clustering test carries information. (iii) Direction: understatement (Demirtaş-Whitfield Obj-1): accepted; a symmetric arm was added. (iv) circularity of the z-test (Marumo Obj.3): partly accepted — the test is a prioritizer, not a discriminator; the K3 "signal" claim was withdrawn and reframed as a K1 escalation. Vandermeer round (v1.2): (v) attributing the 1.10 branch to a "base-year incentive" contradicts the accepted Vasquez-Torres note (V-4c): fully accepted; the incentive-direction assignment was removed and both arms were labeled as neutral disclosure-basis signatures. (vi) In a short series CUSUM is internally inconsistent with the 5.1.3 decision (V-3): fully accepted; a portfolio-calibrated sequential log-difference test was put in place of CUSUM. (vii) the Limpert reading "σ* ≤ ~1 decade" is forced, and its generalization to the sector IEF is unsupported (V-5): accepted; the threshold rationale was rewritten over the typical range σ* ∈ [1.5; 3], the generalization claim was withdrawn and a [to be verified] record entered.

Divergence of opinion within the panel (resolved): The threshold inconsistency between Halvorsen's single band [0.89, 0.92] and Demirtaş-Whitfield's dual-band proposal was resolved with a symmetric combined band text (the direction-incentive label was removed in v1.2). Open item v1.1: The minimum n of the sector-year cell for IEF_expected (in a small cell the median is unstable).

E. Residual risk. Even where metadata completeness is achieved, the identity of the declared basis/citation with the one actually used can be tested from public data only at the level of IEF consistency; in reports that do not disclose MWh/energy, K3 collapses entirely.

5.3 Format and Access (CB-M 5.3.1–5.3.3)

A. Current standard position. GHG Corporate Standard Ch.1 defines the transparency principle, Ch.5 the base-year recalculation policy and Ch.9 the reporting content; ISO 14064-1:2018 §9.3 gives a content list — both texts lack a requirement as to format and access. Under assurance regimes the opinion is given on a disclosure of a specified date; ISAE 3410 contains a provision on "other information" (around para. 74 [to be verified: exact clause and scope]); the status of a silent post-report-date change against that provision, and its counterpart in ISSA 5000, are [to be verified].

B. Class-1 Objections. - [OBJ-GHG CB-M 5.3.1 · Ch.1/Ch.9] The failure to operationalize the transparency principle with a machine-readability requirement makes verifiability costly in practice. - [OBJ-ISO CB-M 5.3.2 · §9.3] The absence of a requirement to map report terms onto standard terminology; VIM conceptual discipline is not carried into report language. - [OBJ-GHG CB-M 5.3.3 · Ch.5] The recalculation requirement is not supported by a version-traceability requirement — there is a policy, but no trace of it. - [OBJ-ISAE CB-M 5.3.3 · around item 74 — CANDIDATE, awaiting confirmation] Since an "other information" provision exists in ISAE 3410, the objection has been narrowed from "absence of a requirement" to "applicability of the provision to a post-report-date version change"; Class-1 status is not granted until primary-source confirmation is complete, and it is carried in the Objection Index as a candidate.

C. The Carbonbench Rule. 5.3.1 (K0, v1.2): (i) r_ocr = pages requiring OCR/total pages; r_ocr > 0.2 → all numeric fields "low-reliability". (ii) Double independent extraction; Wilson upper bound for the disagreement rate δ̂; δ_upper > 0.05 → human verification on a field-by-field basis. The Wilson interval is preferred because it is the practical option closest to nominal coverage in small samples (Agresti & Coull 1998; Brown, Cai & DasGupta 2001). Raw model confidence does not count as audit evidence — modern networks are systematically overconfident (Guo et al. 2017). (iii) Calibrated assurance is provided by a Mondrian-conformal procedure stratified by field type × language × year; the guarantee is stratum-marginal, and exchangeability is assumed within the stratum (Vovk et al. 2005; Angelopoulos & Bates 2023); if a format shift (including 5.3.3) is detected, the guarantee is suspended until the calibration set is renewed. Audit test: a stratified random sample of n ≥ 60 cells; with zero errors, the one-sided 95% Wilson upper bound ≈ 4.3% < 5%; where n < 60 is unavoidable, the test is reported descriptively only. 5.3.2 (K1 + hierarchical prior): Term→magnitude mapping table; a flag for the violation "many labels to one value / many values to one label". Mapping uncertainty is given a hierarchical prior through partial pooling at the sector/language-group level (Gelman et al., BDA); posterior < 0.9 → human review. The priority targets are the conflation of location/market in Scope 2 (Scope 2 Guidance, WRI 2015) and the loss of the Annex E method distinction; where a definition sentence is absent, it is flagged together with 5.2.2. 5.3.3 (K0+K3/K4, v1.2): Every version is archived with a SHA-256 digest; a hash difference → field-level diff; |Δx|/x > τ ∧ no revision note → flag. Direction test (revised): an upward base-year revision can be produced legitimately, in the manner Ch.5 requires (acquisition/divestment, method improvement), and in a growing portfolio p̂↑ > 0.5 is the expected outcome; the test is therefore narrowed to revisions not accompanied by a Ch.5 recalculation statement. A Wilson interval for the upward-sign ratio p̂↑ of undisclosed revisions; lower bound > 0.5 → "undisclosed directional asymmetry" (a descriptive, population-level finding); no incentive interpretation is made without conditioning on the growth/acquisition composition of the portfolio.

D. Class-2 Objections and Defense [OBJ-CB]. (i) the n=20 test is arithmetically unenforceable (four reviewers independently): fully accepted — for n=20, x=0 the Wilson upper bound exceeds 5% under all conditions; the calibration was raised to n ≥ 60 (the 52–75 spread among the reviewers stems from the choice of side). (ii) Exchangeability/marginality (Vasquez-Torres OBJ-5, Demirtaş-Whitfield OBJ-4, Reinholt R-1): partly accepted — the unconditional phrase "distribution-free guarantee" was withdrawn; however the inference that "conformal collapses" was rebutted by Mondrian stratification; the residual-risk record was moved into the body of the rule. (iii) The r_ocr gate and dual independent extraction drew no objection and stand. Vandermeer round (v1.2): (iv) The p̂↑ test is blind to the legitimate revision mechanism; "systematic direction finding" is prosecutorial language (V-4a): fully accepted — the test was narrowed to the non-disclosing subset, the finding was renamed and reduced to the descriptive frame "undisclosed directional asymmetry", and a composition condition was added. (v) Declaring OBJ-ISAE Class-1 on unconfirmed ground was a procedural error (V-2): accepted; the objection was downgraded to candidate status.

Divergence of opinion within the panel (resolved): Wilson threshold-sample inconsistency → n ≥ 60 + descriptive mode. Open item v1.1: for short reports with a cell count < 60, a sequential scheme [to be verified: a suitable sequential test, e.g. SPRT].

E. Residual risk. Conformal/Wilson guarantees rest on a labeled validation sample; if the sample is not representative of the report, the guarantee remains nominal.

5.4 Presentation Manipulation (CB-M 5.4.1–5.4.3)

A. Current standard position. Presentation manipulation is not a calculation error but a selection problem: the reporter enjoys latitude in the choice of metric, scale and base; the reader cannot observe the selection process (non-separation in the sense of Akerlof 1970; consistent with the finding that ESG divergence originates in measurement/scope/weighting choices — Berg, Kölbel & Rigobon 2022). GHG Corporate Standard Ch.9 requires absolute Scope 1–2, while intensity ratios are optional; Ch.5 governs the base year and recalculation, Ch.11 the target framework. ISO 14064-1:2018 §4.2–4.6 (particularly §4.5) remains at principle level; §6.4 governs the base year. Assurance pertains to the figure; the status of graphical presentation: the applicability to charts of the "other information" provision of ISAE 3410 (around para. 74) and its counterparts in ISO 14064-3 and ISSA 5000 [to be verified].

B. Class-1 Objections. - [OBJ-GHG CB-M 5.4.1 · Ch.9 + Ch.1] The absence of a metric-locking and multi-denominator disclosure requirement; freedom of choice is incentive-incompatible. Scope 2 cross-section: the dual-reporting requirement exists, the choice of headline figure lacks binding force. - [OBJ-ISO CB-M 5.4.1 · §4.5, §9.3] Owing to the principle-standard/tool distinction, §9.3 does not bind intensity metric consistency at the tool level. - [OBJ-GHG CB-M 5.4.3 · Ch.5 + Ch.11] The absence of a requirement binding the ex-ante disclosure of the base-year selection criterion and a direction-conditional sensitivity explanation. - [OBJ-ISAE/ISO3 CB-M 5.4.2 · around para. 74 — CANDIDATE, awaiting confirmation] The place of graphical presentation within the assurance scope: since an "other information" provision exists, the objection has been narrowed from "falling outside the scope" to "uncertainty as to the application of the provision to graphics"; pending confirmation, Class-1 status is not granted.

C. The Carbonbench Rule. 5.4.1 (K2): Log decomposition Δln I = Δln E − Δln D; flag: Δln E ≥ 0 ∧ Δln I_rep < 0 (the entire decline coming from the denominator). In scoring, low credibility for single-metric reports: Z = n/(n+k) shrinkage (Bühlmann 1967); k is estimated from the sector panel with the non-parametric structural estimators of Bühlmann–Gisler (2005, Sec. 4.8) — the statement "freedom of choice enlarges k" is descriptive (freedom enlarges the between-risk variance), not a normative penalty parameter. Scope 2 cross-section (K4, v1.1): the co-occurrence of the headline=MB choice with D = sign(trend_MB − trend_LB) is reported, with a Wilson interval, as a descriptive selection asymmetry; the incentive-incompatibility reading cannot be made without conditioning on the existence of contractual instruments and on sector composition. 5.4.2 (K1, v1.1): The Lie Factor LF (Tufte 1983) applies only to displays with length/area encoding (bar, area, 3D); on a line chart a truncated axis is not in itself a finding (Cleveland 1985), but where the axis truncation is undeclared the 5.2 metadata flag is raised. Pre-filter: applied only to pairs passing |Δln x| > δ₀ (initially 0.05). The threshold is a tolerance band derived from the digitizer GRR study (AIAG MSA); in an image PDF for which no GRR has been demonstrated, no LF computation is produced and the field is coded "not assessable" (consistent with the 5.3.1/K0 gate). 5.4.3 (K2, direction-conditional, v1.2): The test is applied only in base-year selection events — the first target/base disclosure, a change of base year, a Ch.5-triggered recalculation; the assumption of annual reselection has been removed (SBTi-type frameworks lock the base ex ante; during the locked period the argmax test is undefined). At the moment of selection, for all candidate bases R_b = (E_b − E_t)/E_b; M = R_rep − median_b(R_b); flag: b_rep = argmax_b R_b ∧ M > M*; the initial M* = 10 points is underived and its calibration is an open item. Inflation branch: the base-year IEF lying above the sector median ∧ the 5.2.3 break-candidate signal falling in the base year is an aggravating factor (it carries no control-chart claim).

D. Class-2 Objections and Defense [OBJ-CB]. (i) The LF denominator is unstable (four referees): accepted; LF blows up as Δx→0 — a minimum-effect pre-filter was added. (ii) the ±10% "control-limit" attribution is unfounded (Vasquez-Torres, Reinholt, Ben-Ami): accepted; limits are estimated from the process, not decreed; the Montgomery attribution was removed and the threshold was tied to a GRR-derived band. (iii) Chart-type conditioning (Halvorsen OBJ-H3): partly accepted; a line-chart exception was added following Cleveland. (iv) Bühlmann k not estimable (four reviewers): partly rebutted — a firm×year panel suffices for structural estimators; the "single observation" objection overlooked the panel structure. (v) The MB-Wilson test has been confounded (Marumo Obj-3): accepted; the causal claim was withdrawn and reduced to a descriptive framework. Vandermeer round (v1.2): (vi) The annual reselection assumption of the argmax test is unrealistic; M>10 is underived; CUSUM/EWMA is internally inconsistent on a short series (V-3, V-4b): accepted — the test was made conditional on the selection event, the threshold was converted into an open item as M*, and the CUSUM/EWMA language was removed and tied to the portfolio-calibrated break-candidate test of 5.2.3.

Divergence of opinion within the panel (resolved): the "metaphor or formula" debate over the credibility framework was closed by adding the Bühlmann–Gisler structural estimation procedure to the text. Open items v1.2: GRR-conditional LF threshold calibration; the conditioning variable set for 5.4.1-Scope 2; M* calibration (from the portfolio R_b distribution).

E. Residual risk. Even if all tests are passed, credibility weighting penalizes manipulation only weakly where sector data are sparse (small n, large k); in periods with a locked base year, 5.4.3 cannot be applied at all.

5.5 Assurance Layer (CB-M 5.5.1–5.5.2)

A. Current standard position. Assurance is the measurement of the measurement; its level is a detection-risk parameter. The assurance universe is plural and in transition: ISAE 3410 is being superseded by the IAASB's ISSA 5000 (December 2024) [to be verified: effective date and transition provisions]; ISO 14064-3 carries a significant share, particularly among non-audit verifiers; in the EU, CSRD (Directive (EU) 2022/2464) has made limited assurance mandatory. For this reason the proposition "verification is optional" is correct specifically for GHG Corporate Standard Ch.10 but wrong as a definition of the universe; for 2026 reports no rule can be anchored to a single standard. ISO 14064-1:2018 §9.3 enumerates report content; communication of the level is the domain of ISO 14064-3, ISAE 3410 and ISSA 5000 (internal article structures unconfirmed → general reference). In limited assurance the procedural scope is narrow and the conclusion is given in negative form ("nothing has come to our attention") [to be verified: the clause number of the level-statement obligation, separately in all three regimes].

B. Class-1 Objections. - [OBJ-GHG CB-M 5.5.1 · Ch.10] Verification is voluntary within the GHGP framework (it is mandatory for undertakings within the scope of CSRD; the objection is directed at the GHGP provision); the absence of a requirement to declare the assurance level in the body of the report confines that information to the assurance statement alone. - [OBJ-ISAE CB-M 5.5.1 · ISAE 3410/ISSA 5000, general] The standard binds the report of the applier; its restatement on the entity's summary pages lacks binding force — this is where the incentive-incompatible gap lies, and to the extent that it appears unaffected by the regime transition it is directed at both texts [to be verified: the ISSA 5000 provisions on entity communication]. - [OBJ-ISO CB-M 5.5.2 · §5.2.2–5.2.4, Annex H] The reporting boundary is defined by the undertaking; no provision requires disclosure of the ratio (ω) by which the assurance boundary overlaps the reporting boundary. - [OBJ-GHG CB-M 5.5.2 · Ch.9/Ch.10] No proportioning of assurance scope to the inventory total is provided for; for Rev.2 there are only proposed orientations, no final text.

C. The Carbonbench Rule. 5.5.1 (K1+K2, v1.2): A ∈ {none, limited, reasonable, mixed, indeterminate} and the regime label R ∈ {ISO 14064-3, ISAE 3410, ISSA 5000, national/other, indeterminate} are extracted jointly; with C the strongest assurance claim in the body text, on an ordinal scale M = 1[C > A]; M = 1 → finding (level pooling under the "verified" label, the collapse of the quality signal in the sense of Akerlof 1970; the noise of Berg et al. 2022 amplifies it). An "indeterminate" A or R value additionally falls to branch 5.2; in regime transition years (ISAE 3410→ISSA 5000) the R mixture is a stratification variable in population statistics. 5.5.2 (K1+K4, v1.2): ω = Σ(assured Eᵢ)/ΣEᵢ; ω is computed only for reports whose scope items are quantifiable, otherwise a K1 categorical flag. G = 1[the claim is at the "inventory/general" level ∧ ω < ω*], initial ω* = 0.5 (its calibration an open item). Rationale (revised): subject to the neglect of covariance and only under the assumption of a bias-free inventory, the random-uncertainty ratio u_after/u_before ≈ [1 − ω_u(1−ρ²)]^½; for small ω_u and with u₃ ≫ u₁,₂ the ratio ≈ 1 (the independence assumption of IPCC 2006 Vol.1 Ch.3, Eqs. 3.1–3.2 reserved). The principal informational value of assurance — the detection of systematic error (the detection-risk framework of ISAE 3410/ISSA 5000; the systematic/random distinction of GUM §3.2) — lies outside this ratio and is non-zero even at low ω. Direction-conditionality: a label generalized to the base year carries credibility into the denominator of subsequent percentage-reduction claims (5.4.3); the test is constructed separately for the two year types.

D. Class-2 Objections and Defense [OBJ-CB]. The first draft's claim that "u_total(after)/u_total(before) ≈ 1" drew objections from six reviewers: (i) independence violation — a shared EF library produces positive covariance (GUM §5.2): accepted, the condition was written into the formula; (ii) category error (Demirtaş-Whitfield, Vasquez-Torres) — assurance lowers detection risk, not u in the GUM sense; the information value of limited assurance that catches a 10³-family unit error is independent of the u ratio: the weightiest objection, fully accepted; the sentence in question was withdrawn; (iii) non-computability (Reinholt R-4, Okonkwo-Lindqvist) — uᵢ does not exist in a public report: accepted, the u-ratio was removed from the rule set and demoted to a conditional-qualitative rationale; (iv) ω is not computable (Halvorsen Obj-H1): partly rejected — ω is computed not from uncertainties but from the scope list × emission lines; the fallback to K1 in the non-quantifiable subset was carried into the text; (v) ω* underived (Ben-Ami OBJ-4): accepted, open item. Vandermeer round (v1.2): (vi) The assurance framework is anchored to a single standard; "Ch.10 optional" is wrong as a definition of the Universe; the claim about the ISAE share is overstated (V-1): accepted — the multi-regime framework was written into block A, the claim that "the greater part of the market is ISAE 3410" was removed from the text, an R-label was added to the rule, and the CSRD obligation was recorded under OBJ-GHG 5.5.1.

Divergence of opinion within the panel (resolved): the status of the u-ratio argument — removed from the rule's rationale and reduced to a conditional formula; the ω-threshold architecture stands. Open item v1.1: Calibration of ω* from the portfolio ω distribution.

E. Residual risk. The inference of ω, of the level and of the regime depends on the quality of the assurance statement; where the statement is attached as an image PDF (5.3.1), the K1 inference falls back to manual review; during the ISSA 5000 transition period, regime mixing weakens population comparisons.

End of Chapter

Error Budget Table (Chapter 5 as a whole)

Objection Index

Bibliography

JCGM 100:2008 (GUM), §3.2, §5.2, §7 · JCGM 200:2012 (VIM), items 1.19, 2.41 · IPCC 2006 Guidelines, Vol.1 Ch.3 (Frey et al.; Eqs. 3.1–3.2), Vol.2 Ch.1 · ISO 5725-1 · ISO 6976 (GCV/NCV definitions) · ISO 14064-1:2018 (§4.2–4.6, §5.2, §6.2.2, §6.4, §8.1–8.3, §9.3, Annex E [normative], Annex H) · ISO 14064-3 (general reference) · WRI/WBCSD GHG Protocol Corporate Standard (rev. ed.), Ch.1, 5, 6, 7, 9, 10, 11, App.A · WRI (2015), GHG Protocol Scope 2 Guidance · IAASB, ISAE 3410 (general reference) · IAASB, ISSA 5000 (December 2024; general reference) · European Union, Directive (EU) 2022/2464 (CSRD; general reference) · Montgomery, D.C., Introduction to Statistical Quality Control (Shewhart; Phase-I requirements) · AIAG, Measurement Systems Analysis, 4th ed. · Bühlmann, H. (1967), ASTIN Bulletin; Bühlmann, H. & Gisler, A. (2005), A Course in Credibility Theory, Ch. 3–4, 4.8 · Wilson, E.B. (1927), JASA 22 · Agresti, A. & Coull, B.A. (1998), Am. Stat. 52 · Brown, Cai & DasGupta (2001), Stat. Sci. 16(2) · Benjamini, Y. & Hochberg, Y. (1995), JRSS-B 57(1) · Benjamini, Y. & Yekutieli, D. (2001), Ann. Stat. 29(4) · Limpert et al. (2001) · Vovk, Gammerman & Shafer (2005), Algorithmic Learning in a Random World (Mondrian CP) · Angelopoulos, A. & Bates, S. (2023), FnT ML · Guo, C. et al. (2017), ICML · Gelman, A. et al., Bayesian Data Analysis, 3rd ed. · Tufte, E. (1983), The Visual Display of Quantitative Information · Cleveland, W.S. (1985), The Elements of Graphing Data · Akerlof, G. (1970), QJE 84(3) · Berg, Kölbel & Rigobon (2022), Rev. Fin. 26(6) · Weidema & Wesnæs (1996) · Ciroth (2016) · EPA eGRID (general reference)

[To be verified] list: In ISAE 3410: (i) criteria disclosure, (ii) the level-declaration obligation, (iii) the verbatim number of the "other information" provision (around para. 74) and its scope specifically for emission annexes and charts, (iv) the provisions on events after the report date · ISSA 5000: effective date, transitional provisions, ISAE 3410 correspondence table, entity-communication and "other information" counterparts · the verbatim clause citation of the CSRD limited-assurance obligation and its ESRS linkage · the internal clause structure of ISO 14064-3 · the verbatim wording of the level of detail on GWP source and EF vintage in ISO 14064-1 §9.3 · the exact bounds of the 95% range of gas EFs in IPCC 2006 Vol.2 Table 2.2 · the empirical σ* distribution of sector-year IEF cells · the decimal precision of the AR6 CH₄ fossil/biogenic GWPs · the eGRID publication lag; the typical magnitude of the subregion vs national average difference · sequential test design for short reports (e.g. SPRT).

CHAPTER 6 — FROM REPORT TO CARBONBENCH

Introduction: The Map of the Error Universe

This chapter deals not with the company's inventory but classifies the errors arising in the conversion of the public report into a Carbonbench record. Two methodological backbones hold across all sections. The first is GUM's distinction between mistake and uncertainty: recording and analysis blunders lie outside uncertainty evaluation (JCGM 100:2008 §3.4.7); accordingly, most of the failure modes in this section cannot be modeled with a σ — they require either a hard gate, or detect-and-eliminate, or a calibrated probability. The second is the Rule-4 discipline: all we have are public reports; the distinction between AD-absence and AD-incorrectness is preserved on the scorer side as well — absence is not produced, it is observed.

Note on tone. The "absence of a requirement" objections in this chapter are not imputations of fault but identifications of a gap: that principle-standards do not define tool-level discipline is a deliberate design decision; the objections map the consequences of that decision in the context of third-party reading, they do not accuse the standard of lacking a function it never undertook.

Note on the verification regime. ISSA 5000, which the IAASB approved at the end of 2024, is replacing ISAE 3410 in sustainability assurance; at the date this chapter was written the transition period is still under way [to be verified: ISSA 5000 effective-date/transition provisions]. For this reason all OBJ-ISAE objections have two addressees: the existing stock of engagements is read under ISAE 3410, new engagements under ISSA 5000. Since the internal clause structure of both texts is unconfirmed, the references are general (see Rule 5).

The layer table was settled by editorial decision (Reinholt's note [to be verified: K-layer mapping] is closed by this table):

The error universe is mapped in pipeline order: parse (6.1) → LLM extraction (6.2) → confidence calibration (6.3) → normalization (6.4) → human review (6.5) → determinism and seal (6.6). The loss function is time-dependent: while a low-value deviation is preferred in the reporting year, the direction reverses in the base year (GHG Corporate Std Ch.5 base-year provisions); all detection tests are designed direction-conditionally. The software layer (a silent series break on a change of vendor) is linked to 6.6.1 as a separate failure mode.

6.1 Parse (6.1.1 table structure · 6.1.2 image-PDF/OCR · 6.1.3 page order/section loss)

A. Current standard position. GHG Corporate Std Ch.9 defines report content and ISO 14064-1:2018 §9.3 the report elements; both texts are written for a human reader. The absence of a machine-readable format requirement is the natural consequence of the principle-standard/tool distinction; the digital reporting heading in the proposed directions of Rev.2 should be tracked — there is no final text. Under the ISAE 3410/ISSA 5000 regimes, presentation and disclosure assertions fall within the criteria framework; what is not subject to assurance is the carrier file format itself (the PDF/HTML/XBRL choice) — the claim in this section is limited to this narrow scope alone [to be verified: the clause level of the presentation-assertion provisions in the two regimes].

B. Class-1 Objection. [OBJ-GHG CB-M6.1 · Ch.9] The reporting provisions list content but do not define a carrier format; third-party reading devolves to the OCR/LLM layer, and reader-side gross error falls outside the scope of both assurance regimes. Scope note: the objection is confined to voluntary GHG Protocol reports; the CSRD/ESRS regime imposes mandatory ESEF/XBRL digital tagging, and in that universe machine readability is a regulatory requirement [to be verified: the status in force of the ESRS sustainability taxonomy and its data-point coverage].

C. Carbonbench Rule (K1). Each PDF page is digested separately and the page-order vector enters the seal (the 6.6.1 link); the table structure is resolved with two independent parsers (raw text + layout-aware); on a cell-grid mismatch the record falls into the K3 queue; if there is no text layer the record is marked with the code "OCR-channel" (transferred to the revised gate in 6.2.4).

D. Class-2 Objection and Defense. [OBJ-CB] "Excluding an unparseable report shifts the universe toward digital-native companies." Defense: there is no exclusion; the record remains in the universe with an "unparseable" code and a selection-bias disclosure (the MNAR risk is disclosed; Little & Rubin [to be verified: edition/chapter]).

E. Residual risk. Graph-embedded values (numbers that exist only in the visual) cannot be recovered through any parsing channel; they are reported as a coverage gap.

6.2 LLM Extraction

6.2.1 Wrong cell/row matching

A. GHG Ch.7 inventory quality binds the preparing party; neither regime contains a provision on gross error by the reading party (general reference). B. falls within the scope of the OBJ-GHG in 6.2.4 (below). C. (K1). Two independent extraction passes; acceptance ⇔ |x_A−x_B|/max(|x_A|,|x_B|) ≤ ε, otherwise the K3 queue. Revision: the two passes are constructed to be heterogeneous (different model family + different extraction path); the "agreeing-but-wrong" rate is additionally reported on the SRS subsample — the common-cause channel is not an assumption but a measured quantity. D. [OBJ-CB, Marumo] "The independence assumption is invalid; even independent versions produce dependent errors (Knight & Leveson 1986)." Defense: agreement is not evidence of correctness but an elimination filter; residual common-cause error is observed through the SRS/Wilson ceiling of 6.5.1. E. Table types in which two heterogeneous transitions share the same layout illusion remain as a base risk.

Divergence of opinion within the panel (resolved). Marumo's independence objection corrected the rationale of the rule: "two independent passes" → "two heterogeneous passes + common-cause measurement in the SRS" (the Ben-Ami revision accepted).

6.2.2 Year confusion

A. GHG Ch.5 governs base-year tracking; column-year integrity is a tool-level discipline and lacks binding force. B. No separate objection is opened against Ch.5; it is a sub-instance of the 6.2.4 objection. C. (K1). Cross-report fingerprint: x_t = x_{t−1}^{archive} ⇒ automatic quarantine; the remedy is human approval. The error is table-correlated (not a single row: the entire column shifts); quarantine is applied at table level. D. [OBJ-CB] "Legitimate constant values (unchanged emissions) produce false positives." Defense: quarantine is suspension, not rejection; if exact equality + unit + scope match together as a triple, human approval is a single step. E. Where both years are erroneous (the archive itself is dirty), the fingerprint is blind.

6.2.3 Missed unit label

A. GHG Ch.9 requires metric tonnes CO₂e; there is no requirement to disclose the calorific basis (GCV/NCV) or the volumetric reference condition. ISO 14064-1 §4.5 establishes accuracy at principle level; the normative discipline of Annex E for electricity has no counterpart for fuel-energy units. The IPCC 2006 default EFs are NCV-based (Vol.2 Ch.1); US-origin reports mostly give energy on a GCV basis — while the label reads "GJ", the basis has no token. B. [OBJ-GHG CB-M6.2.3-a · Ch.9]; [OBJ-ISO CB-M6.2.3-b · §9.3]; [OBJ-ISAE CB-M6.2.3-c · general (ISAE 3410→ISSA 5000)]: a ×1000 prefix error exceeds the materiality threshold and is caught at every assurance level; for basis errors of 5–10% the situation is different — the materiality threshold does not change with the assurance level; what changes is the depth of evidence; in limited assurance, for this error class detection risk remains high [to be verified: the clause level of the evidence-depth provisions in the two regimes]. C. (K1+K2). K1: the unit triple (prefix, gas set, basis/reference) is captured verbatim; if the item is absent in the source, the field is set to null, inference is prohibited, and the confidence bucket drops by one. K2: r = Ê/ÂD, z = log₁₀(r/r_ref) (r_ref stoichiometric; e.g. natural gas 56,100 kg CO₂/TJ NCV, IPCC 2006 Vol.2 Table 2.2). Revised two-stage decision: (i) |z| ≥ 2.5 → M1 prefix hypothesis (single assignment); (ii) r/r_ref ∈ [1.04; 1.13] ∪ [0.885; 0.96] → no single assignment is made; the flag goes to K3 as "percentage-band anomaly, hypothesis set {M3 calorific basis, M4 volume reference, M5 short ton, coal basis}"; the ordering is by a side variable (origin US → M5 prior; fuel=gas → M3 prior). The composite signature (M3+M5 ≈ 1.22) is a separate row in the band table.

D. [OBJ-CB CB-M6.2.3-d] "In a multi-fuel mix the band produces false positives." Defense (revised): a mixture IEF is a convex combination and remains within the envelope; the band diagnoses M1, and within the percentage band only detection holds — the diagnosis is transferred to K3. The part that could not be defended: whether the tCO₂e label includes biogenic CO₂ (the normative annex provision of ISO 14064-1 on biogenic carbon; [to be verified: Annex D numbering]) cannot be resolved at text level in most reports → open item v1.1. E. When it is never written in the source, a systematic deviation of 5–10% remains in the inventory unmeasurably until voluntary activity data arrive.

Divergence of opinion within the panel (resolved — editorial decision). Three reviewers (Halvorsen H-1, Marumo OBJ-4, Ben-Ami OBJ-4) independently identified the band overlap; Demirtaş-Whitfield accepted it, and the decision rule was revised into the two-stage form above. Marumo's "mandatory basis conversion" rule contradicts the K1 null provision; editorial decision: K1 prevails. The conversion (AD_NCV ≈ AD_GCV/1.11 for gas; /1.05 for solids and liquids; ISO 6976 — applied to the denominator, with Vasquez-Torres's dimensional correction) is canonical only in records whose GCV is disclosed at source; in an unlabeled record it is produced only as a sensitivity scenario, by double entry with a "basis-assumption" flag, and the canonical field remains null.

6.2.4 Hallucination

A. It is the only failure mode incompatible with ISO 14064-1 §4.5 (accuracy) and the principles of GHG Ch.1: it cannot be corrected, only rejected. B. [OBJ-GHG CB-M6.2.4 · Ch.9] The absence of a machine-readable format requirement leaves third-party extraction to the OCR/LLM layer; Ch.7 covers the preparer side, while reader-side gross error falls outside the scope of both assurance regimes. The objection to Rev.2 is directed at the proposed orientations; there is no final text. C. (K0 — revised layered gate). A source span is mandatory for every numeric field. Validity ⇔ (a) if a text layer exists, a canonical span matches exactly; (b) if there is no text layer, the record falls to the OCR channel: after canonicalization the normalized edit distance ≤ δ, the confidence bucket drops one step, and the "OCR-sourced" flag is published together with a selection-bias disclosure; no layer is dropped from the universe. Batch blocking was moved from c=0 to a c≥0 plan calibrated with the Wilson upper bound and with the α-risk disclosed (Montgomery, acceptance sampling). Audit test: re-locate the span in the document on a sample of n records; verify with a channel-based matching definition. D. All five reviewer objections (Marumo-2, Okonkwo OBJ-4, Reinholt R-3, Vasquez-Torres-2, Demirtaş-Whitfield-4) were directed at the earlier form of the gate and were closed by revision; the principle was upheld: a number that cannot be anchored to a source is a candidate mistake in the sense of GUM §3.4.7. E. The δ tolerance in the OCR channel may allow small but real transcription errors (final digit) to escape span verification; the 6.5 MSA gate carries this residual.

Divergence of opinion within the panel (resolved). It was unanimously determined that the provision "no span, no record" produces MNAR selection bias (a violation of Rule 4); Ben-Ami revised it with a layered matching definition. The principle (hard gate) is retained, the definition layered.

6.2.5 Scope label confusion (S1 vs S1+2)

A. The Scope 2 Guidance (Sotos 2015) produces two S2 lines in the tables through its dual reporting requirement; the absence of a requirement to label a single "primary" figure makes the ambiguity structural. B. [OBJ-GHG CB-M6.2.5 · Scope 2 Guidance] The absence of a dual-reporting + single-label requirement raises the probability of label confusion. On the assurance side, presentation/disclosure assertions fall within the criteria framework; whether the dual-S2 label ambiguity is addressed at clause level is unconfirmed [to be verified: ISAE 3410/ISSA 5000 presentation-assertion provisions]. C. (K1). Identity test |(S1+S2)−T|/T ≤ τ; on violation the scope labels are "suspended"; the label hypotheses (S1↔S1+2 swap) are ordered by likelihood and passed to K3. D. [OBJ-CB] "The location/market-based duality requires the identity test to be constructed twice." Defense: the test is run separately for each S2 variant; which variant is used in the total is captured as a separate field. E. If the report gives a single total and does not state which S2 it was built with, the abeyance is permanent.

6.3 Confidence Calibration

6.3.1 Mistaking raw confidence for a probability

A. ISO 14064-1 §8.3 makes the uncertainty assessment binding on the preparer's inventory; no regime imposes a calibration obligation on a third-party confidence measure. B. [OBJ-ISO CB-M6.3.1 · §8.3] Carbonbench K2 fills this gap; it does not substitute for the standard. C. (K2). A raw score cannot be used without calibration (overconfidence: Guo 2017). Post-hoc calibration (temperature scaling) + a conformal layer: P(y ∈ C(x)) ≥ 1−α, distribution-free (Vovk et al.; Angelopoulos & Bates 2023). Revision: the calibration set is established only through the SRS channel of 6.5.1; the guarantee is stated with bucket-conditional (Mondrian) conformal, limited to the layers for which SRS calibration exists. Audit test: verify in a single query that the empirical coverage remains above the Wilson lower bound of 1−α. D. [OBJ-CB, Reinholt R-3] "A calibration set drawn from targeted auditing breaks exchangeability; no guarantee can be claimed." Fully accepted — the SRS requirement was written into the rule; the objection is closed. E. As the SRS set shrinks, the bucket-conditional coverage intervals may remain too wide for a practical decision.

6.3.2 Bucket key errors

A–B. The same standard gap as 6.3.1; no separate Class-1 objection is opened. C. (K2). Keying to the wrong bucket applies the right curve to the wrong record. Hierarchical partial pooling: shrinkage toward the global curve with z = n/(n+k) (Bühlmann 1967; Bühlmann & Gisler 2005; hierarchical justification Gelman et al., BDA); the key scheme is versioned (link to 6.6.1). Halvorsen H-2's circularity warning applies here as well: the estimation uncertainty of k is reported; cell covariates (report format, language) are added to the model; the pooled estimate is binding only where the k interval is stable. Audit test: re-derive the bucket key from the raw metadata and match it against the recorded key. D. [OBJ-CB] "Sector × year cells are heterogeneous; there is no exchangeability." Defense: Bühlmann-Straub assumes not full exchangeability but a common structural parameter (Bühlmann & Gisler 2005, Sec. 4); a hierarchy with covariates absorbs the remaining heterogeneity. E. If the key scheme itself is wrongly designed (a wrong sector taxonomy), shrinkage softens the error but does not remove it.

6.4 Normalization

6.4.1 Currency conversion (year-average vs period-end)

A. GHG Ch.9 recommends an intensity ratio; there is no requirement on the exchange-rate date/method for a monetary denominator — the Ch.1 comparability principle carries no tool-level binding force. ISO 14064-1 §9.3/§4.5 share the same gap. Under the ISAE 3410/ISSA 5000 regimes it is unconfirmed whether the conversion method falls within the scope of assurance [to be verified: assurance scope of the intensity metric]. We have no knowledge of any proposal in the Rev.2 directions; there is no final text. B. [OBJ-GHG CB-M6.4.1 · Ch.9] The absence of the requirement allows two different intensity values to be produced for the same company-year — incentive-incompatible; the direction is time-dependent (the preference for a strong denominator in the reporting year reverses in the base year). The mechanism of the direction reversal is not extraction bias but reporter preference: the base-year game operates through Ch.5 recalculation triggers — an FX/method choice that shrinks the base-year denominator (inflating the intensity) can be carried under the appearance of a legitimate recalculation; the direction-conditional test targets this channel of preference. [OBJ-ISO CB-M6.4.1 · §4.5/§8.3] The monetary uncertainty of the denominator falls outside the uncertainty assessment; within the GUM framework the combined uncertainty of a ratio requires both components, and since E and revenue share a common activity driver the covariance term (GUM Eq. 16) must be declared. C. (K2 — unified rule). A monetary denominator is converted at the year-average rate of the reporting period; the exchange-rate series is versioned (6.6.1). Sensitivity: s_fx = |1 − FX̄_t/FX_t^eop|; s_fx > 0.05 → "FX-sensitive" flag + double record (the IEF at both rates); there is no bucket penalty (GUM §3.2.3–3.2.4: a known systematic effect is corrected, not penalized). In the economy-years within the scope of IAS 29, currency normalization is placed in abeyance; the record is published with the label "not FX-normalizable" and is excluded from cross-bucket comparison. Until the SNA/BPM6 basis for flow conversion is confirmed, the rule has the status "provisional rule v1.1 [to be verified]". Audit test (revised): this is a screening test, not a rejection test; the flag threshold is conditional on volatility — if the deviation > max(1%; 0.5·CV_FX,t), "examine the conversion method".

D. [OBJ-CB] "Imposing a year-average may conflict with audited financials (IAS 21)." Defense: Carbonbench is not a financial reporting regime; it does not change the denominator disclosure, it normalizes it to a single comparison axis and preserves the original in K0. The hyperinflation interaction could not be defended → the suspension above was promoted to a rule (open item closed). E. If the functional currency is not disclosed at all in the report, the conversion assumption remains unverifiable.

Divergence of opinion within the panel (resolved — editorial decision). Two sanctions had been attached to the same CB-M code (Marumo: lower the bucket; Vasquez-Torres: dual recording). Unification in favor of Vasquez-Torres: lowering the bucket penalizes a country condition outside the reporter's control; dual recording preserves the information. Marumo accepted; s_fx is retained as a sensitivity field, not a penalty. Remaining open: SNA/BPM6 clause confirmation.

6.4.2 Denominator matching (consolidated/solo; energy basis)

A. GHG Ch.3 defines the organizational boundary (equity share/financial control/operational control; the counterpart of ISO 14064-1 §5.1) for emissions; Ch.9 contains no requirement that the denominator boundary coincide with that of the numerator. The PCAF Standard establishes the numerator/denominator alignment (attribution factor) explicitly for financed emissions — there is no equivalent for corporate intensity. B. [OBJ-GHG CB-M6.4.2 · Ch.3+Ch.9] Dividing operational-control emissions by solo (parent-only) revenue structurally distorts the IEF; this is a direct mechanism of the divergence in Berg/Kölbel/Rigobon (2022). [OBJ-GHG CB-M6.4.2 · Ch.6] The EF hierarchy contains no requirement to declare the energy basis (NCV/GCV); whether Rev.2 addresses it must be monitored. C. (K1+K2). Matching indicator C = 1[boundary(E) ≡ boundary(AD)]; mismatch δ = |ln(D_used/D_matched)|, δ > ln(1.05) → "denominator-mismatch" flag; the IEF is published but excluded from cross-bucket comparison. Where D_matched is unavailable, the record falls under the AD-absence code (absence, not incorrectness). In the energy denominator, basis conversion applies only to records with a disclosed source (the editorial decision in the 6.2.3 box applies).

D. [OBJ-CB] "The consolidation perimeter cannot always be resolved from a public report." Defense: an unresolvable case is not corrected; it is marked by lowering the quality score under pedigree logic (Weidema & Wesnæs 1996) — pricing uncertainty is superior to ignoring it (Akerlof 1970). E. In mid-year mergers/acquisitions (GHG Ch.5 recalculation), numerator-denominator asynchrony may remain unavoidable for a single year.

6.5 Human Review

6.5.1 Sample bias (α/β)

A. GHG Ch.7 governs quality and Ch.10 verification at principle level; ISO 14064-1 §8.1–8.3 covers quality/uncertainty; ISAE 3410 establishes evidence selection on a risk basis and the greater part of the market runs on this regime — the ISSA 5000 transition may change this picture [to be verified: ISSA 5000 evidence/sampling provisions] — under limited assurance, evidence depth is naturally low. B. [OBJ-GHG CB-M6.5.1 · Ch.7/Ch.10] There is no requirement for a sample-based quantitative upper bound (β-tolerance, OC curve) on the data-processing error rate. [OBJ-ISO CB-M6.5.1 · §8.3] The uncertainty provision is focused on quantification; capping processing error by acceptance sampling lies outside the regime. [OBJ-ISAE CB-M6.5.1 · general (ISAE 3410→ISSA 5000)] The absence of a quantitative sample-depth requirement for a processing-error cap, combined with the high detection risk of limited assurance, leaves a structural gap [to be verified: clause level of the sampling provisions in the two regimes]. C. (K3 — revised). An audit that is flag-only leaves β undefined (a one-sided OC curve; Montgomery). Rule: (i) in every cycle, in addition to the targeted sample, an SRS share ≥ 20%; the sampling unit is not the record but the report — the Wilson upper bound (Wilson 1927; interval performance rationale Agresti & Coull 1998) is applied to the report-level error indicator; where a record-level cap is required, the effective n is contracted by deff = 1+(m−1)ρ or a beta-binomial is used (Kish 1965). (ii) Two-criterion lot acceptance: p̂_U ≤ β-tolerance (frequency) AND c=0 for every atomic error observed in the SRS (×10³ class) — a single atom closes the lot; severity is reported with a mixture model: |Δ| ~ π·Atom(10^{3k}) + (1−π)·LogNormal(μ,σ) (rationale for log-normal severity: Limpert et al. 2001); the E[L] decomposition is disclosed only after frequency–severity independence has been tested (Klugman/Panjer/Willmot). (iii) Small cells are pooled with Bühlmann-Straub; the estimation uncertainty of k is reported, and p* is binding only if the k-interval is stable. (iv) The SRS seed is derived from the sealed version hash (commit-then-reveal); direction-conditional test: in base-year records H₁: E[Δ]>0, in the reporting year H₁: E[Δ]<0.

D. That the log-normal attribution was over-extended (Reinholt R-2, Vasquez-Torres OBJ-4), that the frequency ceiling is not a loss ceiling (Ben-Ami OBJ-2), and the violation of i.i.d. (Marumo OBJ-3) were accepted and closed with the revisions above. The Akerlof-based gaming mode (6.5.1-b), in line with Halvorsen H-2, was reframed as a "conditional design for the voluntary-data phase"; the internal adaptation of the extraction pipeline is monitored in the language of measurement-system drift rather than of Akerlof (CUSUM; Montgomery); commit-then-reveal was retained in both cases as costless insurance. E. As the SRS share shrinks with the budget, the Wilson ceiling loosens; the ceiling is mathematically correct but may remain far from practically binding.

Divergence of opinion within the panel (resolved). Four objections (clustering, mixture severity, two-criterion acceptance, the Akerlof reframing) were closed by revision; the practical threshold for the stability of the k estimate will be quantified in v1.1.

6.5.2 Auditor consistency (Gage R&R)

A. A human auditor is a measurement system; a correction that rests on their judgment without being analyzed cannot count as process improvement (AIAG MSA 4th; Montgomery). ISO/IEC 17025 §7.7 (validity of results) and §6.2 (personnel) are the in-pipeline precedent; there is no quantitative competence requirement in GHG Ch.7 or ISO 14064-1 §8.3. B. [OBJ-GHG CB-M6.5.2 · Ch.7] The absence of a quantitative requirement on reviewer r/R adequacy permits an unbounded contribution of human sign-off to the uncertainty budget. [OBJ-ISO CB-M6.5.2 · §8.3] There is no requirement to quantify auditor variance (σ_R) as an uncertainty component (the Type B logic of GUM Clause 4 would serve). C. (K3 — revised R-6.5.2). Blind double review: a fixed percentage of the sample goes to a second auditor and is reassigned to the same auditor ≥30 days later, with page-permuted blinding; σ_r is labeled a lower bound, and the binding metric is the inter-auditor σ_R (ISO 5725-2). Agreement is measured with a prevalence-resistant index: Gwet AC1 ≥ 0.75 (Gwet 2008) or PABAK, AND misses ≤ 2%, false alarms ≤ 5% (conditional probabilities are independent of prevalence). The %GRR thresholds (10%/30%) apply only to the σ_measurement estimate of the magnitude of the numerical correction. If the threshold is not met, the auditor's decision is "conditional": it cannot raise the bucket, only lower it (asymmetric authority). Audit test: recompute AC1 and the miss rate from the blind double records of the last 90 days; look for an elevated bucket in the sub-threshold period. D. [OBJ-CB] The kappa paradox — the prevalence sensitivity of Cohen's (1960) kappa (Feinstein & Cicchetti 1990) — fully accepted, the rule was moved to Gwet AC1/PABAK; the %GRR–attribute conflation was disentangled; the violation of memory-independence was closed by a limitation. E. The MSA gate guarantees the pool's internal consistency; it cannot capture wholesale systematic bias (everyone converging on the same error) — this is closed by the SRS design of 6.5.1.

6.5.3 The error of the correction itself

A. ISO 14064-1 §8.2 requires that corrections be recorded; there is no provision to the effect that the correction is itself a source of error and requires control-chart discipline. B. [OBJ-ISO CB-M6.5.3 · §8.2 (+GHG Ch.5 interface)] Direction-conditionality: in the base year the correction incentives reverse; the test must be designed directionally. C. (K3 — revised R-6.5.3). Tampering risk is framed by Deming's funnel experiment (Deming 1986) — but only for span-unconfirmed (judgmental) corrections: the threshold |Δ| > 2σ_meas applies to this subclass (σ_meas from the current MSA); a correction confirmed one-to-one against the K0 span is accepted as threshold-independent, is versioned with a rationale code and passes once more through the same MSA gate. Corrections that interpret calorific basis, volume reference or scope labeling without a token are by definition span-free — the tampering discipline applies precisely to this subclass. The correction-reversal rate is monitored with an I-MR chart and drift in auditor strictness with a CUSUM (Montgomery). Audit test: verify Δ/σ_measurement and the reason code on 20 random corrections; report the number of below-threshold acceptances in the span-unconfirmed class. D. [OBJ-CB, Halvorsen H-3 + Ben-Ami Obj.3] "Since the true value is observable within the span, the funnel analogy is a category error." Partly accepted: the scope was narrowed (the span-confirmed exemption above — in the reviewer's words: the threshold applies only to span-unconfirmed corrections); the wholesale rejection of the framework was refused. E. For judgmental corrections without a span, the 2σ threshold prevents variance inflation at the price of retaining small but real systematic effects — a deliberate trade-off.

Divergence of opinion within the panel (resolved). The funnel-experiment objection was closed by a narrowing of scope; the kappa objection by a change of index. The Gwet 2008 citation was closed by referee confirmation (Br J Math Stat Psychol 61(1)).

6.6 Determinism and Seal

6.6.1 Table versioning violation

A. GHG Ch.5 ties base-year recalculation to a change of methodology; Ch.9 requires the EF source to be documented. The absence of a threshold definition as to whether a change in tool/table version enters the recalculation trigger is a natural consequence of the principle-standard/instrument distinction. The two layers are separated here with care: (i) preparer-side risk — a change of software vendor (Sphera→Watershed etc.) produces a silent break in the company's own series and raises the question of a Ch.5 recalculation trigger; (ii) reader-side risk — Carbonbench's own table/code versioning. The C-rule of this section governs only (ii); (i) is not something for Carbonbench to correct but an external failure mode to be detected (IEF-jump triage, below). B. [OBJ-GHG CB-M6.6.1 · Ch.5+Ch.9] There is no requirement of reproducibility at the level of version identity (hash) — the absence of a requirement, not a violation. C. (K0). Every score record is atomically sealed: M = H(P ∥ v_T ∥ v_K ∥ θ), H = SHA-256; P the source PDF digest, v_T the table version, v_K the code+library version, θ the configuration (including the PDF parser version — revision). An unsealed score is invalid; an update opens a new v_T and the previous one is not deleted (append-only archive). Every revision of a decision rule likewise opens a new v_T — otherwise the revision is itself a silent series break. The IEF-jump test is, in line with Marumo Obj.5, positioned only as an internal-audit residual / triage flag (the external-diagnosis claim was withdrawn: M&A, boundary change, restatement and a change of preparer-side software produce the same signature). Audit test: unseal the random score record; verify in a single step that the digest of the archive table matches v_T. D. [OBJ-CB, Reinholt R-1] "A hash chain is not VIM 2.41 traceability; it carries no uncertainty contribution." Accepted — the terminology was corrected: the chain provides source evidence (provenance); it is the digital precondition for metrological traceability (the ISO/IEC 17025 §6.5/§7.11 distinction is the precedent). E. The seal does not cover the correctness of the reference table's content — determinism faithfully reproduces an error as well.

6.6.2 Platform-dependent arithmetic

A. IEEE 754-2019 floating-point summation is not associative (Goldberg 1991); reduction order, FMA and compiler flags produce different bit patterns from the same input. Neither assurance regime contains a requirement as to which arithmetic environment is to be taken as the reference. B. [OBJ-ISAE CB-M6.6.2 · general (ISAE 3410→ISSA 5000); [to be verified: the clause location of the recalculation procedure]]. C. (K2 — revised). Relative difference scales with the condition number κ = Σ|x|/|Σx|: it remains of the order of epsilon in well-conditioned sums but grows in damped net calculations (gross − biogenic − offset) (Higham 2002, Ch. 4) — determinism is unavoidable for precisely this reason. Rule: all aggregation with decimal128 arithmetic, under a fixed (lexicographic) summation order and the half-even rule; what secures determinism is not the basis but the imposed order + a single rounding. It is sealed at library version v_K (decimal128 is one of the five base formats; what is optional is hardware/library support — version sealing is required precisely for this reason). Floating point only in intermediate analysis; never the sealed value. Audit test: run the same input package on two architectures (x86-64/ARM64) with the same versioned library; verify the byte-identity of the canonical outputs. D. [OBJ-CB, Ben-Ami OBJ-1 + Vasquez-Torres OBJ-3] "Tipping at a bucket boundary is a pathology of discretization, not of arithmetic; the remedy is hysteresis/uncertainty-propagated assignment." Partly accepted: hysteresis cannot substitute for determinism — in a score that cannot be reproduced, the band itself cannot be audited; the two layers are orthogonal. E. The discontinuity of the decision function is not resolved at this layer; the residual risk is devolved to the bucket-assignment design.

Divergence of opinion within the panel (partly open). The determinism rule (decimal128 + byte identity) was defended and is retained; Bucket assignment with JCGM 101:2008 Monte Carlo uncertainty propagation / a tolerance band in the neighborhood of the threshold is an open item for v1.1 (Okonkwo OBJ-1's principle that "reporting resolution must be proportional to the combined uncertainty" — the logic of GUM §7.2.6 — has been accepted, but its design deferred).

6.6.3 Canonicalization errors

A. GUM prescribes rounding the standard uncertainty to at most two significant digits (JCGM 100:2008 §7.2.6); ISO 6976 establishes the distinction between in-calculation and end-of-calculation rounding. ISO 14064-1 §9.3 lists content and §8.2 requires quality management; the rule for numerical presentation (separator, rounding direction, unit canon) lacks binding force. B. [OBJ-ISO CB-M6.6.3 · §9.3/§8.2] The absence of a notation requirement corresponding to GUM §7.2.6. C. (K1). Canonical form: unit tCO₂e, decimal point (note the 1.234,56 decimal-comma localization, e.g. in reports from Türkiye), NFC string, half-even rounding, uncertainty to two significant figures. A value that does not enter canonical form cannot pass to K2. Rounding budget: if every component is rounded to d decimals, |Σx_i − T| ≤ n·u/2, u = 10⁻ᵈ; an exceedance is a canonicalization or extraction error (intersection with 6.2).

Audit test: verify that the difference between the report total and the re-addition of the components remains within the n·u/2 budget. D. [OBJ-CB] "Imposing half-even may conflict with the half-up practice of the source report." Defense: the canon serves internal consistency of the scorer; the source value is stored raw in K0, and the budget test is wide enough to tolerate both rules. E. If the significant-digit policy is not disclosed at all in the source, the u parameter of the budget test remains hypothetical.

End of Chapter — Error Budget Table

Objection Index

Index note: all OBJ-ISAE rows are read as having two addressees owing to the transition to ISSA 5000 (Introduction, note on the verification regime); all "absence" objections are gap findings, not the treatment as a defect of a function the standard does not undertake.

Bibliography

JCGM 100:2008 (GUM): §3.2.3–3.2.4, §3.4.7, §5.1.6, Eq. 16, Clause 4, §7.2.6 · JCGM 101:2008 · JCGM 200:2012 (VIM): definition 2.41 · IPCC 2006 Guidelines Vol.1 Ch.3 (Frey et al.); Vol.2 Ch.1–2, Table 2.2 · ISO 6976 · ISO 5725-2 · ISO/IEC 17025:2017: §6.2, §6.5, §7.7, §7.11 · ISO 14064-1:2018: §4.2–4.6, §5.1, §5.2, §6.2.2, §8.1–8.3, §9.3, biogenic-carbon annex [to be verified: Annex D number], Annex E · GHG Protocol Corporate Standard (rev. ed.): Ch.1, Ch.3, Ch.5, Ch.6, Ch.7, Ch.9, Ch.10 · GHG Protocol Scope 2 Guidance (Sotos 2015) · ISAE 3410 (IAASB) — general reference · ISSA 5000 (IAASB, 2024) — general reference · PCAF Standard · IEEE 754-2019 · Goldberg (1991), ACM Computing Surveys 23(1) · Higham (2002), Accuracy and Stability of Numerical Algorithms, 2nd ed., Ch. 4 · Montgomery, Introduction to Statistical Quality Control (acceptance sampling, OC; I-MR, CUSUM, EWMA; MSA) · AIAG, Measurement Systems Analysis, 4th ed. (2010) · Deming (1986), Out of the Crisis · Wilson (1927), JASA 22 · Agresti & Coull (1998), Am. Stat. 52 · Kish (1965), Survey Sampling · Bühlmann (1967), ASTIN Bull. 4 · Bühlmann & Gisler (2005), A Course in Credibility Theory, Ch. 4 · Klugman, Panjer & Willmot, Loss Models · Limpert et al. (2001), BioScience 51 · Cohen (1960), EPM · Feinstein & Cicchetti (1990), J Clin Epidemiol 43 · Gwet (2008), Br J Math Stat Psychol 61(1) · Guo et al. (2017), ICML · Vovk et al., Algorithmic Learning in a Random World · Angelopoulos & Bates (2023) · Gelman et al., Bayesian Data Analysis · Knight & Leveson (1986), IEEE TSE · Weidema & Wesnæs (1996) · Berg, Kölbel & Rigobon (2022), Review of Finance · Akerlof (1970), QJE 84.

[to be verified] list: SNA 2008/IMF BPM6 flow-conversion article · IAS 21 average-rate practical expedient paragraph no. · IAS 29 interaction analysis · ISAE 3410 internal article structure (recalculation, sampling, presentation-assertion provisions, intensity metric coverage) · ISSA 5000 internal article structure + effective-date/transition provisions · effective status and data-point coverage of the ESRS sustainability taxonomy (digital tagging) · annex number of the ISO 14064-1 biogenic-carbon annex · IPCC Vol.2 Ch.1 GCV/NCV ratio paragraph · ISO 13443 clause level · Little & Rubin edition/chapter · Montgomery acceptance-sampling chapter no. · applicability of the VIM 2.41 notes to digital objects · sample country-year exchange rate volatility series (CBRT) · IEA/Eurostat/OECD (2005) Energy Statistics Manual NCV chapter no.

Editorial change log (Vandermeer report → corrections applied): (1) 6.2.3-c was reconstructed on the materiality / detection-risk distinction; (2) the 6.1-A claim was narrowed to "carrier file format", and the scope of the presentation claim was corrected; (3) decimal128 was corrected to "base format / optional implementation support"; (4) the Annex D number was moved to [to be verified]; (5) the ISSA 5000 transition was recorded in the Introduction and in all OBJ-ISAE addressees; (6) a CSRD/ESRS-ESEF/XBRL scope record was added to CB-M6.1; (7) the preparer-side and reader-side layers were separated in 6.6.1-A; (8) prosecutorial language ("condemns", "is rendered void", "may produce an incentive-incompatible equilibrium") was reduced to gap-identification language, and a tone note was added to the Introduction; (9) orphan citations were tied into the body text (Limpert→6.5.1 mixture severity; Agresti & Coull→6.5.1 Wilson rationale; Cohen→6.5.2 kappa paradox); (10) "56.100"→"56 100"; (11) the Gwet 2008 citation was closed; (minor) the Ch.5 recalculation-trigger mechanism for base-year direction reversal was added to 6.4.1.

CHAPTER 7 — DENOMINATOR AND COMPARISON

(v1.1 — major revision following the Vandermeer reviewer report; the OBJ/CB-M codes have been preserved)

7.0 Introduction: Map of the Error Universe

The intensity ratio I = E/D is a measured quantity and rests on a measurement model (JCGM 200:2012; JCGM 100:2008, §4.1). The uncertainty discipline of the standards and of the literature is directed almost entirely at the numerator (E); yet the GUM law of propagation is symmetric for ratios:

(u_I/I)² ≈ (u_E/E)² + (u_D/D)² − 2·r·(u_E/E)(u_D/D) (JCGM 100:2008, Eq. 10; correlated case Eq. 13)

In inventories dominated by stationary-combustion CO₂ with u_E/E ≈ 5–10% (IPCC 2006 Vol.2 Ch.2 uncertainty tables), once the relative uncertainty of the denominator exceeds 10% its contribution to the budget becomes of the same order as that of the numerator; in process/fugitive/S3-heavy portfolios the numerator remains dominant — the rule is sector-conditional. As u_D/D grows, the ratio distribution departs from normality (Fieller 1954); the validity of the first-order GUM approximation must be tested case-specifically with the validation procedure of JCGM 101:2008 §8 (the 0.2 limit is the author's rule of thumb; [to be verified: simulation calibration, v1.1]).

The error universe of the section has four branches: revenue denominator (7.1: FX, consolidation, unit basis, revenue definition), employee denominator (7.2: FTE/headcount, contractors), sector mapping (7.3: code mapping, conglomerate mixing), benchmark definition differences (7.4: denominator type, scope mask, price year). Common structure: most comparison errors arise not from measurement but from classification and definition mismatch (the conceptual/measurement error distinction of IPCC 2006 Vol.1 Ch.3); in statistical language these are of a single family — false exchangeability assumption (Vovk et al.; Angelopoulos & Bates 2023). The loss function is time-dependent: the advantage of a low intensity in the reporting year reverses in the base year; all tests are constructed direction-conditionally.

Scope statement (KB-7) — the universe the objections address. The Class-1 objections of this section are filed solely to the universe of the GHG Protocol Corporate Standard and ISO 14064-1:2018. Mandatory-disclosure regimes are in a different position: ESRS E1-6 mandates a GHG intensity with net revenue as denominator and requires the denominator to be reconciled to a financial statement line [to be verified: the relevant ESRS E1-6 paragraph numbers]; CSRD assurance unites numerator and denominator in a single assurance regime; IFRS S2 (ISSB 2023) and the Türkiye implementation TSRS carry a structure of the same family [to be verified: the clause structure of the TSRS 2 intensity/reconciliation provisions]. In entities covered by these regimes, the "absence of requirement" findings in 7.1.3, 7.1.4 and 7.4.1 have been partly met; the objections hold at full force only in the voluntary-reporting universe. Ch.9 status note: In GHG Ch.9, intensity ratios are optional information, and the standard makes no claim of comparability across ratios; objections addressed to Ch.9 are therefore filed not as a "violation/gap" but with the status of a recommendation for Rev.2 (it is separately marked in the Objection Index).

Divergence within the panel (resolved) — the direction of the r = 0 assumption. The activity volume that jointly drives E and D typically produces r > 0 (Demirtaş-Whitfield); under Eq. 13 a positive correlation reduces u_I. The agreed formulation (Halvorsen Y-4): the assumption r = 0 is conservative in the uncertainty disclosure and anti-conservative in detection power — an inflated u_I may widen the tolerance band and let the error escape. In the rule set both directions are reported separately.

Central verification item D-1 (revised — Vandermeer V-1). In ISAE 3410 the subject matter of the assurance is the "greenhouse gas statement", and that statement may include intensity ratios and explanatory notes; if the metric is included in the disclosure, the denominator is as a whole within the scope of assurance. The previous draft's framing, "the absence of a requirement for the ratio to be assured as a whole", has therefore been withdrawn: the problem is not a gap in the standard but the scope-of-engagement practice — whether the intensity ratio is in fact included in the disclosure and whether the assurance is limited or reasonable depends on the engagement; the greater part of the market operates with limited assurance, and some of the detection-power claims in this chapter depend on this distinction. D-1 has been redefined accordingly: [to be verified: D-1 — the actual frequency with which intensity metrics are included in ISAE 3410 disclosures; the distribution of limited/reasonable assurance; scope-contracting practice]. All ISAE references below point to D-1; the former OBJ-ISAE has been withdrawn and re-filed in conditional form (see the Objection Index).

Chapter-level meta-rule (MK-7). In a definition-mismatched comparison an estimated correction applies only where (i) the conversion multiplier can be quantified from a public/canonical source and (ii) it applies if the multiplier uncertainty is written as a separate line in the error budget (K2); if either condition fails, the comparison is blocked (K1, "non-comparable"). A wrong comparison is more costly than no comparison.

7.1 Revenue Denominator

7.1.1 Currency selection

A. Current standard position. GHG Protocol Corporate Standard Ch.9 permits the reporting of intensity ratios as optional information; Ch.1 lays down the comparability principle; there is no tool-level provision on disclosure of the FX convention (annual average / closing / fixed rate). No explicit provision on this matter has been observed in the proposed directions for Rev.2; there is no final text. The ISO 14064-1:2018 §9.3 report content list does not include the FX convention. Assurance side: D-1. Data-provider layer (V-12): a significant portion of actual comparisons is made not with the company's own disclosure but with provider-normalized financials (Bloomberg, S&P Trucost, etc.); currency/unit conversion most often occurs in this layer, and the provider's normalization rule is generally not public [to be verified: provider normalization methodologies]. Part of the error universe lies not in the company's disclosure but in the provider layer where the conversion is performed.

B. Class-1 Objections. [OBJ-GHG CB-M 7.1.4 · Ch.9 (Ch.1)] (recommendation level — KB-7): Since Ch.9 makes ratios optional, no "requirement violation" can be asserted; the recommendation is that, for an entity reporting a ratio, the denominator definition, the currency regime and the consolidation scope be made subject to a disclosure requirement. [OBJ-ISO CB-M 7.1 · §8.3/§4.5]: while the uncertainty assessment is tied to quantification, the absence of an equivalent provision for the denominator leaves the §4.5 accuracy principle without an instrumental counterpart at the ratio level.

C. The Carbonbench Rule (K2). Δ_FX = |I(FX_avg)/I(FX_close) − 1|; where Δ_FX > θ_FX and there is no disclosure, an "FX-sensitive" flag; the comparison score is widened by this band; an asymmetric threshold in the base-year direction (direction-conditional loss). θ_FX = 0.05 / base year 0.03 is a parameter [calibration: v1.1 open item — with the CBRT series]. Layer rule (V-12): Δ_FX is computed at two points — the firm's disclosure (where available) and the provider value; where the two diverge, a "layer-inconsistency" flag is raised; where a provider-sourced series is used and the normalization rule cannot be documented, the comparison band is assigned from the widest class.

D. Class-2 Objections and Defense. [OBJ-CB OBJ-4b — false precision]: a two-decimal threshold calibrated to unverified data. Accepted: the thresholds were demoted to parameter status (above). [OBJ-CB V-12 — mislocation of the error universe]: accepted; the layer rule was added.

E. Residual risk. Unless the exchange-rate effect can be separated from the deflator effect (7.4.3) and from the provider-layer conversion, the Δ_FX flag measures not the magnitude of the error but the uncertainty band of the comparison.

7.1.2 Consolidated/solo mismatch

A. GHG Corporate Std Ch.3 defines the organizational boundary for emissions rigorously (control/equity); there is no provision that the denominator be measured over the same legal set — since the intensity ratio is optional under Ch.9, this is an identification of asymmetry, not a breach of a requirement. No explicit provision has been observed in the proposed Rev.2 orientations; there is no final text. ISO 14064-1:2018 §5.1 carries the same asymmetry. The ESRS E1-6 reconciliation requirement largely closes this failure mode within the mandatory regime (KB-7). D-1 remains valid.

B. [OBJ-GHG CB-M 7.1.2 · Ch.3]: boundary discipline is normative for the numerator and undefined for the denominator; where a ratio is reported, a requirement of numerator-denominator boundary equality is a proposal for Rev.2. [OBJ-ISO CB-M 7.1.2 · §5.1+§9.3]: while the organizational boundary is normatively defined for emissions, the absence of an equivalent provision for the denominator leaves a gap that is incentive-incompatible with §4.5.

C. (K1+K2, K3 conditional). K1: if boundary_flag(E) ≠ boundary_flag(D), the intensity is excluded from the comparison pool. K2: R = D_report/D_consolidated (KAP reconciliation); R ∉ [0.95; 1.05] → flag; R < 0.5 → "boundary mismatch" class. The K3 correction multiplier applies only if both revenue figures are public (MK-7 conditions).

D. No refuting objection was raised in the panel against the rule core of this leaf; the intersection with 7.3.2 is handled there.

E. Residual risk. The solo/consolidated distinction depends on the quality of the notes; in reports where reconciliation cannot be established, exclusion is bought at the price of information loss.

7.1.3 Thousand-TL basis

A. Taking a TFRS table stated in "thousand TL" to be in full TL is a ×1000 gross error — an "error" in the sense of the VIM, not an uncertainty (JCGM 200:2012, §2.16–2.17). Disclosure/reconciliation of the unit basis is an instrument-level provision neither in GHG Ch.9 nor in ISO §9.3; owing to the principle-standard/instrument distinction, this discipline carries no bindingness in the voluntary universe. Scope note (KB-7): The financial-statement reconciliation requirement of ESRS E1-6/TSRS catches this error class in the mandatory regime; the objection is filed only against the voluntary GHG/ISO universe.

B. [OBJ-ISO CB-M 7.4.1 · §9.3]: the absence of a provision requiring line-level reconciliation of the denominator item to the audited financial statements leaves ×1000 class gross errors between the assurance regimes (D-1; the probability of detection under limited assurance is additionally low).

C. (K1, a robust rule unified at chapter level). z_i = |log₁₀ I_i − median_s(log₁₀ I)| / (1.4826·MAD_s) (consistency constant: Rousseeuw & Croux 1993); flag at z > 3.5; the threshold is calibrated within sector from empirical quantiles; the flag rate is reported with a Wilson (1927) interval (with the Agresti & Coull 1998 alternative in small-n cells). Precondition: 7.3.1 mapping check (otherwise the failure modes become confounded). The ×1000 hypothesis is tested as a special case of this score: in the correct cell, under the s* ≤ 4 observed by Limpert et al. (2001) (σ ≈ 0.6 on the log₁₀ scale), 3 decades ≈ 5σ — a unit error separates conditionally almost surely.

Divergence within the panel (resolved) — multiplicity of decade thresholds. Three contributions had set three different fixed thresholds for the same failure mode (1.5/2.5; 2/±3; z without MAD). Four reviewers (H-3, OBJ-1, BA-1, OBJ-1/2) showed that fixed decade thresholds are distribution-unconditional and produce false positives at mixed-activity firms; the fixed thresholds were withdrawn and a single robust statistic at chapter level (the z above) was made binding. The phrase "three decades is impossible" was replaced by "conditionally distinguishable".

D. [OBJ-CB — overstatement of detection power]: mixtures and tier heterogeneity thicken the tails. Accepted: a matching precondition + empirical quantile calibration + Wilson reporting were embedded in the rule.

E. Residual risk. In small sector cells (small n_s) the MAD estimate is unstable; the false-positive budget is unknown until the v1.1 simulation.

7.1.4 Definition of revenue (revenue / net sales / turnover)

A. GHG Ch.9 treats intensity reporting as optional and Ch.1 makes comparability a principle; there is no disclosure provision on the choice of revenue item (revenue/net sales/gross turnover/gross premium); the trace in the Rev.2 proposed orientations is limited (there is no final text). ISO §9.3 is in the same position. Scope note (KB-7): Since ESRS E1-6 makes the net revenue denominator mandatory and requires reconciliation, this objection largely falls away within the mandatory regime.

B. [OBJ-GHG CB-M 7.1.4 · Ch.9 (Ch.1)] (recommendation level): if a ratio is reported, disclosure of the revenue line item should be made mandatory. Mechanism hypothesis: definitional ambiguity permits adverse selection in the sense of Akerlof (1970); the loss function is direction-conditional (the definition yielding low intensity in the reporting year and high intensity in the base year is favorable). This study contains no data showing that the tendency is actually observed; the claim sits at the level of mechanism design, not behavioral identification. Analogical evidence: in the ESG ratings field, differences in measurement definition are the dominant driver of the divergence (Berg, Kölbel & Rigobon 2022); the transfer to the denominator definition is an analogy, not direct evidence.

C. (K1+K2). the label denominator_source ∈ {revenue, net sales, gross premium, …} is mandatory metadata; if the label is absent, the firm is deterministically excluded from the comparison pool at K1 level; it is taken only into within-firm trend analysis. K2: exact reconciliation of the denominator item with the line name in the audited income statement.

Divergence of opinion within the panel (resolved) — credibility mechanics. The phrase "Z = 0 credibility" in the first text is incompatible with the Bühlmann construction (Z = n/(n+k), positive for n ≥ 1; Bühlmann 1967), and the mechanics of "k grows, pool credibility collapses" is set up backwards (k = σ²/τ²; Bühlmann & Gisler 2005). The common diagnosis of the three reviewers was accepted: heterogeneity of the denominator definition is not a variance component but a bias; it violates the exchangeability assumption of the Bühlmann model — pooling cannot be applied without denominator standardization (the K1 label). This has been made consistent with the finding (7.3) that "no pooling can correct a systematic error".

D. The IPCC citation correction has likewise been accepted: the location of the ±5–10% range is Vol.2 Ch.2; Vol.1 Ch.3 is the methodological framework. [OBJ-CB V-10 — over-extension of Berg/Kölbel/Rigobon]: accepted; the citation was relabeled as an analogy (above).

E. Residual risk. Denominator rules can be tested only through disclosure; as long as disclosure remains voluntary, K2 flags measure not the presence of error but its indistinguishability.

7.2 Employee Denominator

7.2.1 FTE vs headcount

A. If the definition of the measurand "number of employees" (FTE or headcount; year-end or annual average) is missing, the VIM's definitional uncertainty comes into play (JCGM 200:2012, cl. 2.27): no data quality can go below this floor. GHG Ch.9 and ISO §9.3 do not require a definitional disclosure. The concept of metrological traceability (ISO/IEC 17025 §6.5) here is only a conceptual analogy — a laboratory competence standard cannot be transferred directly to corporate reporting; the analogy is used to make visible that the denominator is subject to no traceability-like discipline in any regime.

B. [OBJ-GHG CB-M 7.2.1 · Ch.9] (proposal level): declaration of the unit of measure (FTE/HC) and of the cut-off date should be made a requirement for an organization reporting a ratio; as it stands, the comparability of Ch.1 has no counterpart at tool level. [OBJ-ISO CB-M 7.2.1 · §9.3]: the §8.3 uncertainty provision is in effect applied to the numerator alone.

C. (K1 detection + K2 quantification). Algebraic identity: HC/FTE = 1/(1−p(1−f)) (p: part-time share, f: average working fraction). K1: R_HC = D_sustainability/D_annualreport; |R_HC − 1| > 0.05 → "denominator definition mismatch" flag (single-year, dual-source reconciliation — independent of series length). K2: where the definition label is empty, a GUM Type B additional uncertainty u_def,min is imposed (JCGM 100:2008 §4.3); u_def,min is calibrated from the sectoral part-time share [calibration: v1.1 open item].

D. [OBJ-CB OBJ-1/BA-2 — %GRR category error]: Gage R&R requires a repeated-measurement design; in a public report there is a single observation per company-year. Accepted: the AIAG MSA/%GRR language is only a conceptual analogy and is labeled as such in the text; the operable mechanism is Type B additional uncertainty. [OBJ-CB V-6 — 17025 category error]: accepted; the analogy label was written into block A.

E. Residual risk. Definitional uncertainty cannot be reduced by statistical instruments; Carbonbench can only label and cohort it, and only a standard setter can make the definition binding.

7.2.2 Contractors included/excluded

A. While the numerator includes site operations under the operational control approach (GHG Ch.3; ISO §5.1), the denominator counting only payroll employees is a numerator-denominator boundary asymmetry; as the outsourcing ratio changes, the series drifts independently of emissions performance. Assurance scope depends on contract (D-1).

B. [OBJ-GHG CB-M 7.2.2 · Ch.3]: while the organizational boundary rules discipline the numerator, no equivalent consolidation rule is defined for the denominator; the asymmetry arises from the absence of a requirement (valid if a ratio is reported — the Ch.9 status is reserved).

C. (K2 + K3). Two-point ratio test: r_t = D_t/D_{t−1}; if |ln r_t| > ln(1.25) and the report contains no M&A/restructuring/definition-change explanation, a "denominator break candidate" flag (1.25 is a parameter, v1.1 calibration). K3: comparison only within a definition-matched cohort; cohort label = {FTE/HC} × {subcontractors included/excluded}. If D* = D_payroll + D_subcontractor-FTE cannot be constructed, no out-of-cohort comparison is made.

Divergence within the panel (resolved) — withdrawal of the SPC block. Five referees objected to the proposal of an I-MR chart (D₄ = 3.267) and EWMA (λ≈0.2) on the same grounds: Montgomery's Phase-I condition requires ~20–25 observations; public series run 3–8 years and the MR̄ estimate is unstable. The author accepted; SPC was downgraded from the K-layer to the level of analogy and replaced by a two-point ratio test. The Quesenberry Q-chart alternative was noted but not preferred, on the grounds that it carries comparable sensitivity in short series [to be verified: Quesenberry 1991 short-series performance]. If the series reaches ≥ 20 years the control chart is re-evaluated.

D. The core of the contribution (the dominance of definitional uncertainty) drew no objection and has been retained.

E. Residual risk. Contractor FTE does not exist in public data; the flag cannot distinguish the cause of the break (outsourcing, or a change of definition).

7.3 Sector Mapping

7.3.1 GICS/NACE mis-mapping

A. Disclosure of the sector classification code is not part of report content either in GHG Ch.9 or in ISO §9.3; since the mapping, being a data-provider assignment, does not constitute a verifiable disclosure, it is a comparison input that goes unaudited in the assurance regimes (D-1). The conceptual difference between revenue-based (GICS) and activity-based (NACE/ISIC) systems is the source of this error class.

B. [OBJ-ISO CB-M 7.3.1 · §9.3]: absence of a provision requiring disclosure of the sector code. [OBJ-GHG CB-M 7.3.1 · Ch.9] (proposal level): the unauditability of mapping-sensitive benchmark findings; disclosure of the dual mapping is recorded as a proposal to the Rev.2 proposed direction (there is no final text).

C. (K2→K1). Dual-mapping score: z_i^(m) = (ln IEF_i − μ̂_{s(m,i)}) / (1.4826·MAD_s), m ∈ {GICS, NACE}; μ̂_s is a hierarchical posterior (Gelman et al., BDA); the threshold comes from empirical quantiles. Flag ⇔ min_m |z_i^(m)| > c. Where the decision conflicts between the two mappings, the finding is downgraded to K1 ("mapping-sensitive"). On exceedance of the threshold, the sequence is: mapping check first, AD suspicion second (Carbonbench constraint: the AD-absence/AD-incorrectness distinction). This check is a precondition for all robust-z flags in 7.1.3. Estimated bias: (1−Z)(μ_wrong − μ_correct); an order-of-magnitude difference between cell medians is typical (Limpert 2001; analogical support — from the ratings field — Berg/Kölbel/Rigobon 2022).

D. [OBJ-CB Obj-1 — small-n instability]: accepted; quantile calibration and flag-rate reporting with Wilson intervals were added to the rule.

E. Residual risk. Hierarchical pooling softens the effect of a mismatch; but no pooling can correct systematic definition errors that shift an entire cell — these can be made visible only by a disclosure requirement.

7.3.2 The holding/conglomerate problem

A. GHG Ch.3 defines consolidation at the organizational level; there is no provision on segment-level emission allocation. The observed intensity of a conglomerate is a segment-weighted mixture; deviation against a single-sector benchmark is undefined. Segment revenues are public (IFRS 8); segment emissions are not.

B. [OBJ-GHG CB-M 7.3.2 · Ch.3]: the absence of a segment-level emissions breakdown requirement leaves the comparison of conglomerate intensities against a single-sector reference statistically groundless.

C. (K3 synthetic reference + leave-out). The central term is an algebraic identity: IEF_h = E_h/R_h = Σ_j (R_j/R_h)·IEF_j. Revised benchmark: IEF_bench = Σ_j w_j · median_{s_j}(IEF) · exp(σ̂²_{s_j}/2) (lognormal median→expectation correction; Limpert 2001); the uncertainty of the correction factor is written into the error budget. The log-scale variance is taken from moment matching with a within-segment correlation sensitivity sweep r ∈ [0; 0.5] [calibration: v1.1 open item]. Pool parameters are estimated with conglomerates excluded. If the largest segment's revenue is < 75%, a single-sector benchmark is not used; if there is no segment data the firm drops to K1. Assumption V-7.3.2 ("segment IEF ≈ sector cell expectation") is a separate line in the error budget; the deviation-ratio flag is not a finding on its own but a trigger for a mapping audit.

Divergence within the panel (resolved) — Fenton and the scale contradiction. The arithmetic-space synthetic benchmark (Marumo) conflicted with the log-space Fenton approximation (Ben-Ami); moreover Fenton (1960) is for independent lognormals, whereas holding segments are correlated (Halvorsen, Reinholt). Consensus: the mean of the mixture is an algebraic identity and does not depend on Fenton; Fenton is used only for the cell variance, with the correlation sensitivity recorded in the error budget; the median plug-in is corrected by exp(σ̂²/2). The Schwartz & Yeh (1982) alternative was not treated as a remedy either, since it likewise assumes independence; the claim of tail-region use was removed from the text.

D. [OBJ-CB OBJECTION-3b — violation of the public constraint]: accepted; V-7.3.2 was converted into an explicit assumption line (above).

E. Residual risk. Unless the segment emission distribution is public, a synthetic benchmark carries an unverifiable equality assumption; this line cannot be removed from the error budget by any revision of the rules.

7.4 Benchmark Definition Differences

7.4.1 Denominator difference (VA / turnover / spend)

A. IO-derived benchmarks (EXIOBASE; Stadler et al. 2018) define intensity per unit of gross output at basic prices; companies report turnover at purchasers' prices; PCAF uses a spend/financing denominator; the distinction between price concepts is set out in SNA 2008. GHG Ch.9 contains no provision defining the denominator (optional-information status — KB-7); although an uncertainty framework exists in Ch.7, it is not linked to Ch.9. The ISO §4.2 consistency principle is intra-organizational/temporal; §9.3 does not require reconciliation of the denominator with the financial statements. Scope note (KB-7): The net-revenue denominator and the reconciliation requirement of ESRS E1-6 partly meet this objection in the mandatory regime; the price-concept mismatch between the IO benchmark and company data, however, persists in every regime.

B. [OBJ-GHG CB-M 7.4.1 · Ch.9] (recommendation level): disclosure of the denominator definition should be made mandatory for the entity reporting a ratio. [OBJ-ISO CB-M 7.4.1 · §4.2+§9.3]: in the absence of a provision constraining the choice of denominator, cross-entity comparison is incentive-incompatible; that freedom of choice may produce adverse selection is a mechanism hypothesis (Akerlof 1970) — there is no data that the tendency is observed, and the direction of preference varies by year (reporting/base year). [OBJ-GHG CB-M 7.4.1b · Ch.9↔Ch.7]: the failure to tie disclosure of numerator uncertainty and of EF-tier composition to Ch.9 leaves the comparability claim of ratios unsupported — this must be read together with the note that the standard text carries no such claim; the recommendation is to discipline the user practice that does carry it.

C. (K1 label + K2 MK-7 + K3 discrimination test). K1: the denominator label D ∈ {VA, revenue, expenditure, FTE, …} is mandatory; comparable(i,j) ⇔ D_i = D_j; if the denominator type cannot be identified, a "D-MISMATCH" block (no correction). If it can be identified, K2 mapping under the MK-7 conditions: I_match = I_bench × (GO/revenue)_s; the within-firm heterogeneity of the sector-average multiplier (Berkson-type residual) is entered into the error budget as an irreducible item and the benchmarking is performed with an "approximate" label within a widened band — the correction does not restore comparability; it reduces it to a banded comparison. K3 discriminating-power test (tier heterogeneity): two intensities are labeled "different" only if |I₁ − I₂| > k·√(u²(I₁)+u²(I₂)) (k = 2); otherwise "insufficient discrimination". A per-company uncertainty class is derived from the EF source disclosure; where there is no disclosure, the widest class applies.

Divergence within the panel (resolved) — correction or blocking? The norms "correct with the I_eq multiplier" (Vasquez-Torres) and "no estimated correction is applied" (Demirtaş-Whitfield HM-C) appeared contradictory. The resolution is MK-7: the two rules belong to different axes — a transformation of the denominator definition can be quantified from the IO table (K2, conditional); a transformation of scope/boundary requires activity data, which the public report does not contain (K1 block). The generalization "VA ≈ 1/3–1/2 of GO" was withdrawn as a number, and a qualitative order-of-magnitude claim [to be verified: national accounts sectoral GO/VA table] remains.

D. [OBJ-CB BA-4 — Berkson residue]: accepted, embedded in the rule (above).

E. Residual risk. Because the denominator-matching multipliers come from the sector average, firm-level heterogeneity leaves an irreducible residue in the error budget.

7.4.2 Scope difference (production vs chain)

A. GHG Ch.4 defines the operational boundary at principle level; which benchmark may be compared with which boundary is an instrument-level question and is not regulated in the current text. The Scope 3 Standard is a separate inventory; the totals do not overlap by definition. The Scope 2 Guidance (WRI 2015, ed. Sotos) requires dual reporting on the location/market distinction — that is precisely the detection tool. On the ISO side, §5.2.2–5.2.4 covers the reporting boundary, Annex E electricity (normative), Annex H governs significant indirect emissions. On the IO side, the chain multiplier m = e·L (L = (I−A)⁻¹) and the direct coefficient d are distinct quantities (Miller & Blair 2009); aggregation adds a further error (Lenzen 2011).

B. [OBJ-GHG CB-M 7.4.2 · Ch.4]: the absence of a provision requiring benchmark-boundary matching is incentive-incompatible; against a chain-based benchmark, a stack-based disclosure is favorable in the reporting year and unfavorable in the base year — the test is direction-conditional; no behavioral claim is carried over, the incentive structure is identified. [OBJ-GHG CB-M 7.4.2b · Scope 2 Guidance]: the dual-reporting requirement exists, but tying it to assurance scope is left to contractual practice (D-1; actual audit power under limited assurance is separately low).

C. (K1 mask + K3 label-matched comparison). The scope vector mask m = (S1, S2_loc, S2_mkt, S3.1…S3.15) is a mandatory K1 field; K3 comparison only within mask-matched pairs; SCOPE-MISMATCH = 1{scope(company) ≠ scope(bench)} → the score is "not comparable", no estimated conversion is performed (MK-7 condition (i) cannot be satisfied: a stack→chain conversion requires AD). For electricity, comparison runs through the LB channel; in an MB-only report a K1 missing-data flag is raised (an indicator of non-conformity with the dual-reporting requirement). The LB reference is taken from the official grid factor of the reporting country [to be verified: primary source for the Türkiye grid EF]; eGRID is only an example of the method class. Energy-basis twin (HM-B): IPCC default EFs are NCV-based, whereas European gas invoices are mostly GCV (IPCC 2006 Vol.2 Ch.1; ISO 6976). NCV/GCV ratios are not physical constants but typical values dependent on fuel composition (IPCC 2006 Vol.2 Ch.1: a typical difference of ~10% for gas and ~5% for coal/oil); the multipliers 0.90/0.95 have parameter status [calibration: v1.1 — fuel-specific computation with ISO 6976]. K2: IEF_fuel ∉ [EF_NCV·0.97; EF_NCV·1.03] and IEF ≈ EF_NCV/0.90 → "suspected basis shift"; both the tolerance band and the 0.90 multiplier are engineering parameters [v1.1 sensitivity by simulation].

D. [OBJ-CB R5/BA-4 — eGRID geography]: accepted, converted into a national-source requirement. For NCV/GCV, the earlier defense that "the distribution-unconditional threshold criticism is out of category (a physical constant)" has been withdrawn following the reviewer correction (V-5): the ratios were relabeled as parameters dependent on fuel composition; the criticism is thereby partly valid, and the multiplier and the tolerance band were together tied to the v1.1 calibration.

E. Residual risk. Unless the numerator-side uncertainty (EF tier) is disclosed, even an intensity ranking built on the cleanest denominator is a ranking of unproven discriminating power.

7.4.3 Year/inflation basis

A. GHG Ch.5 base-year recalculation triggers cover, alongside structural changes, changes of calculation method as well; the transition from a nominal to a real basis may legitimately be triggered through this channel. SBTi's GEVA-derived economic intensity targets use inflation-adjusted value added (Randers 2012; [to be verified: the location of the inflation-adjustment provision in the SBTi guidance]). The gap is therefore not absolute, but is a default-setting problem: a real base is possible and legitimate but not required; no provision on deflator/base disclosure exists either in Ch.5 or in Ch.11, and intensity targets remain exposed to inflation effects under the default setting. There is no final text on the Rev.2 orientation (in draft consultation as of 2026-07). ISO §6.4 governs the base year; it contains no deflator requirement. In energy statistics practice, constant-price/constant-PPP series are standard for precisely this reason (IEA balances).

B. [OBJ-GHG CB-M 7.4.3 · Ch.5/Ch.11]: the absence of an explicit provision on the denominator deflator — since the method-change channel of Ch.5 permits the transition, the objection is not a "gap" but a "default-setting" objection: the real basis being an option rather than a requirement leaves direction-conditional deviation (mechanical decline in the reporting year, mechanical inflation in the base year) unaudited. [OBJ-ISO CB-M 7.4.3 · §8.3+§6.2.2]: the basis/data-selection statement remaining at informative level (Annex C) leaves one-directional deviations outside audit.

C. (K2 + K4 trend test). I_real = E / (D/P_{t→b}); P is the sector/GDP deflator, the source being a rule parameter; double deflation between the benchmark year and the firm year. Full formula: with real output and emissions held constant (Δlog E = Δlog Q = 0), I_t/I_0 = 1/(1+π); for π = 0.50 a mechanical decline of ~33%; the approximation Δlog I ≈ −π holds only for small π. Trend flag: if Δlog I_nom + π_t ≥ 0 then "no real improvement". Direction-conditional structure: a nominal denominator produces a mechanical decline in the reporting year; in the base year the sign reverses (base-year inflation) — the test is constructed separately in each direction, and no behavioral claim is carried over. Applied sequentially with the 7.1.1 exchange rate rule.

Divergence of opinion within the panel (OPEN) — the effect size in USD-denominated series. Marumo: through the relative PPP channel, devaluation largely offsets inflation, and the mechanical effect shrinks sharply in the USD-converted series. Vasquez-Torres (partial dissent): PPP does not hold in the short run; in periods when the real exchange rate appreciates, the effect remains in the USD denominator as well. Agreed conditional statement: "the effect holds to the extent that the denominator deflator and exchange-rate pass-through diverge"; the quantitative claim on magnitude is suspended until [to be verified: TR real effective exchange rate index, relevant years] is resolved. (The level/log conflation in 50%→33%, by contrast, has been resolved: the full formula has entered the text.)

D. [OBJ-CB BA-4 — implicit assumption Δlog Q = 0]: accepted, the condition was written out explicitly (above). [OBJ-CB V-4 — disregard of Ch.5/GEVA]: accepted; the claim of being "unprotected" was reduced to a "default-setting problem", and the SBTi GEVA note was added to block A.

E. Residual risk. The choice of deflator (GDP vs sectoral) is the rule's own degree of freedom; different deflators may produce different flag sets, and this sensitivity must be reported in v1.1.

7.5 Chapter Error Budget

Objection Index

Class-1 (to standards; to provisions, not to institutions — KB-7: the GHG Protocol/ISO 14064 universe only; objections addressed to Ch.9 have recommendation status):

Class-2 (within-panel, against the Carbonbench rules):

Class-2 additional round (reviewer report — Vandermeer):

v1.1 open item list: u_def,min calibration (7.2.1); ratio-test threshold 1.25 (7.2.2); Δ_FX thresholds (7.1.1); within-segment correlation sensitivity (7.3.2); NCV/GCV multipliers + fuel-specific calibration of the tolerance band [0.97;1.03] (7.4.2); a simulation-based false-positive budget for all K1 rules; the USD-denominator effect (7.4.3); ESRS E1-6/TSRS clause-level confirmation and the sharpening of KB-7 accordingly; documentation of the provider-normalization rules (7.1.1b).

Bibliography

• JCGM 100:2008, GUM — §4.1, §4.3, §5.1.2 (Eq. 10), §5.2.2 (Eq. 13)
• JCGM 101:2008 — Monte Carlo propagation; §8 validation procedure
• JCGM 200:2012, VIM — §2.16–2.17, m. 2.27
• IPCC 2006 Guidelines: Vol.1 Ch.3 (Frey et al.); Vol.2 Ch.1 (NCV basis; typical NCV/GCV differences), Ch.2 (uncertainty tables)
• ISO 14064-1:2018 — §4.2–4.6, §5.1, §5.2.2–5.2.4, §6.2.2, §6.4, §8.3, §9.3, Annex C, E, H
• WRI/WBCSD, GHG Protocol Corporate Standard (rev. ed.) — Ch.1, 3, 4, 5, 7, 9, 11
• WRI (2015), GHG Protocol Scope 2 Guidance (prepared by M. Sotos); WRI/WBCSD, GHG Protocol Scope 3 Standard
• ISAE 3410 (IAASB) — general reference (internal clause structure: D-1); ISO/IEC 17025:2017 §6.5 (conceptual analogy only)
• European Commission, ESRS E1 (Delegated Regulation (EU) 2023/2772) — E1-6 [to be verified: paragraph numbers]; ISSB, IFRS S2 (2023); KGK, TSRS (2023) [to be verified: clause structure]
• SBTi target-setting guidance — economic intensity/GEVA [to be verified: location of the provision]; Randers, J. (2012), Energy Policy — GEVA
• Fieller, E.C. (1954), JRSS-B; Fenton, L. (1960), IRE Trans. Comm.; Schwartz & Yeh (1982), Bell Syst. Tech. J.
• Bühlmann, H. (1967), ASTIN Bulletin; Bühlmann & Gisler (2005), Springer
• Gelman et al., Bayesian Data Analysis
• Vovk et al., Algorithmic Learning in a Random World; Angelopoulos & Bates (2023); Guo et al. (2017), ICML (analogy only)
• Limpert, Stahel & Abbt (2001), BioScience 51(5); Rousseeuw & Croux (1993), JASA
• Wilson (1927), JASA; Agresti & Coull (1998), Am. Stat. (small-n alternative, 7.1.3)
• Montgomery, Introduction to Statistical Quality Control (analogy only, 7.2.2); AIAG, MSA 4th edition (analogy only, 7.2.1)
• Berg, Kölbel & Rigobon (2022), Rev. Finance (ESG rating divergence; the use here is analogical); Akerlof (1970), QJE (mechanism hypothesis)
• Stadler et al. (2018), J. Ind. Ecology (EXIOBASE 3); Miller & Blair (2009); Lenzen (2011), Econ. Syst. Res.; UN et al. (2009), SNA 2008
• ISO 6976; IFRS 8; UN ISIC Rev.4 / NACE Rev.2; IEA World Energy Balances (doc.); US EPA eGRID (example of a method class); PCAF Standard

[To be verified] — separate list: 1. D-1 (central, revised): the frequency with which intensity metrics are actually included in ISAE 3410 disclosures; the distribution of limited/reasonable assurance; scope-of-engagement practice 2. CBRT 2021–2023 average/closing exchange rate differences (by year) 3. TR real effective exchange rate index series (open item 7.4.3) 4. Sectoral part-time employment share statistics (u_def,min calibration) 5. National accounts sectoral GO/VA tables 6. Primary source for the Türkiye grid EF (location-based reference) 7. Natural gas upstream leakage rates (fuel-cycle vs combustion EF difference) 8. EXIOBASE nowcast year range (current release) 9. Quesenberry (1991) short-series performance 10. Fenton-Wilkinson validity range (high σ) 11. Simulation calibration of the u_D/D rule of thumb (v1.1) 12. Paragraph numbers of the ESRS E1-6 net-revenue intensity and reconciliation requirement 13. Article structure of the TSRS 2 intensity/reconciliation provisions 14. Location of the inflation-adjusted value added (GEVA) provision in the SBTi guidance 15. Data-provider (Bloomberg/S&P Trucost) financial-normalization methodologies (7.1.1b)

CHAPTER 8 — SYSTEMIC AND GOVERNANCE RISKS

Introduction: Map of the Error Universe

The preceding chapters looked for measurement error in the reporting company; this chapter turns the mirror around. Carbonbench is itself, in the VIM sense, a measurement system (JCGM 200:2012, §3.2 "measuring system"; the basic question of AIAG MSA 4th): how much of the observed score variance comes from the inventory and how much from the scoring system itself? If we exempt ourselves from the discipline we apply to companies in Chapter 7, we reproduce the "Aggregate Confusion" dynamic that Berg/Kölbel/Rigobon (2022) measured among ESG raters, and the score sells noise rather than signal to the lemons market in the sense of Akerlof (1970).

The error universe divides into four branches, each corresponding to an actor:

Two cross-chapter principles run through all leaves. First, the loss function is time-dependent: a preference for a low EF in the reporting year reverses in the base year. We predict that in the age of target commitments (SBTi) the expected return to base-year inflation has risen — this is a hypothesis, not a theorem: SBTi's base-year control and recalculation policy is a partial counter-control, and the majority of observed restatements are M&A/methodological in origin; the tests are designed direction-conditionally precisely because of this uncertainty, and the hypothesis is tested against first-cycle data. Second, the public-report constraint: all we have are publicly available reports; the IEF (implied factor) is the central tool, but IEF = E/AD and AD does not exist unless voluntarily disclosed — the distinction between AD-absence and AD-incorrectness must be preserved in every rule.

8.1 Score Gaming

Gaming is not a problem of honesty but of incentive design: every metric that is scored is optimized through the degrees of freedom that the scorer cannot observe.

8.1.1 Few-Item Window Dressing

A. Current standard position. GHG Protocol Corporate Standard Ch.1 establishes the completeness principle and Ch.4 governs the operational boundary; ISO 14064-1:2018 §5.2.2–5.2.4 covers the reporting boundary and Annex H significant indirect emissions. That the materiality criterion is defined by the organization means, by virtue of the principle-standard/tool distinction, that a tool-level quantitative floor carries no binding force. The Rev.2 consultation directions (there is no final text) discuss tightening Scope 3 completeness. Under the ISAE 3410 regime, limited assurance does not consist of analytical procedures alone: it includes inquiry and an understanding of the entity and its circumstances, and it prescribes additional procedures in areas seen as risky (general reference). Nevertheless the evidence base of limited assurance is structurally narrower than that of reasonable assurance; detecting the absence of an unreported item requires the boundary definition to be actively questioned, and this is not defined as a requirement at the limited assurance level [to be verified: the ISAE 3410 limited-assurance procedure clauses].

B. Class-1 objections. [OBJ-GHG-8.1.1 · Ch.1/Ch.4] Since the completeness principle is not supported by a quantitative threshold, an exclusion decision lacks binding force; a maximum exclusion share per category is recommended. [OBJ-ISO-8.1.1 · §5.2.3/Annex H] Leaving the materiality criterion to be defined by the entity produces an incentive-incompatible equilibrium; making Annex H normative is recommended.

C. Carbonbench rule (K2 — completeness layer). The completeness score is shrunk with a consolidation-approach stratified Bühlmann-Straub structure: T_i = Z_i·x̄_i + (1−Z_i)·μ_stratum, Z_i = n_i/(n_i+k); n_i = the company's number of comparably bounded reporting years, and k is estimated from the ratio of within-stratum to between-stratum variance (Bühlmann & Gisler 2005). No loading is applied to an exclusion for which a quantitative insignificance disclosure has been given (GHG Ch.4; ISO Annex H); conservative loading applies only to unjustified absence. On the Scope 3 dimension, the category-completeness ratio C = number of categories reported / sector-median expected number of categories; C < C_min → completeness penalty. (Item completeness is a Scope 3-specific problem; in Scope 2 there is no diversity of categories to count, and withholding there is handled in the metadata channel of 8.1.2.)

D. Class-2 objections and defense. [OBJ-CB-8.1.1a] "Bühlmann is undefined on cross-sectional data; the sector collective is not exchangeable" (Ben-Ami, Reinholt, Marumo, Vasquez-Torres): accepted-revised — the homogeneous model was abandoned, a stratified Bühlmann-Straub was adopted, and n_i was defined. [OBJ-CB-8.1.1b] "The claim that the return to withholding is negative → disclosure is weakly dominant is without a theorem; for a firm whose true value exceeds the sector worst case, withholding remains profitable" (Halvorsen H-5, Reinholt-2): accepted — the claim was reduced to the level of "incentive-improving"; the design of an individual-level upper bound (a ceiling scaled by revenue/energy intensity) is an open item for v1.1. [OBJ-CB-8.1.1c] "A firm that genuinely lacks the category receives the same penalty as one that conceals it" (Ben-Ami, Demirtaş-Whitfield): accepted — a justified-exclusion exemption was written into the formula.

E. Residual risk. A coordinated sector-wide shift of the norm (if everyone drops the same item, the prior shifts too) cannot be caught by the credibility formula alone.

8.1.2 Strategic Concealment of Metadata

A. Current standard position. GHG Ch.9 governs report content and App.A electricity accounting; the Scope 2 Guidance (Sotos 2015) stipulates dual location- and market-based reporting for companies operating in markets where market-based instruments/supplier-specific data are available — in regions without an instrument market, a single location-based figure suffices. ISO 14064-1 §9.3 enumerates the minimum elements of the report; Annex E (normative) additionally subjects the quantification of electricity to rules. However, the absence of a machine-readable/structured metadata requirement shifts the cost of detection from the reporter to the reader. The Rev.2 Scope 2 consultation has discussed the equal-prominence heading [to be verified: consultation period and citation]; there is no final text. In ISAE 3410 limited assurance, analytical procedures and inquiry are among the central sources of evidence (general reference); the absence of metadata narrows this evidence base.

B. Class-1 objections. [OBJ-GHG-8.1.2 · Ch.9 + Scope 2 Guidance/App.A] The dual reporting requirement exists (in the markets within its scope); the absence of a formal requirement that the two figures be presented with equal prominence is incentive-incompatible — the market-based figure rises to the headline, the location-based one descends to the footnote. [OBJ-ISO-8.1.2 · §9.3/Annex E] The content list carries no requirement of third-party recomputability; in markets where no residual-mix factor exists, the fallback hierarchy is at the entity's discretion.

C. Carbonbench rule (K1 — metadata layer). Metadata completeness index M = Σᵢ wᵢ·1[fieldᵢ reported]; the weights wᵢ are fixed ex ante and published in the transparency report (8.4.1). Score ceiling S ≤ S_max(M): withholding can raise the score on no branch (incentive-compatibility constraint). A missing field first receives pedigree-type uncertainty inflation (Weidema & Wesnæs 1996; Ciroth 2016 lognormal σ-factors; the rationale for the lognormal model in Limpert et al. 2001), then a conservative assignment from the q95 quantile of the inflated distribution. Scope 2: flag ⇔ (IEF_S2 < EF_min(region)) ∧ (instrument metadata {type, quantity, residual mix} missing); the IEF_S2 test is defined only within the sub-universe that discloses MWh (CSRD/ESRS E1-5 makes energy consumption mandatory [to be verified: E1-5 paragraph no.]); a missing MWh does not silently drop the test, it is added to the m-set and converted into a K1 penalty (MNAR closure).

D. Class-2 objections and defense. [OBJ-CB-8.1.2a] "A pedigree matrix assigns not a point value but an uncertainty multiplier" (Okonkwo-Lindqvist OBJ-2): accepted — the citation was corrected and a two-step inflation→quantile mechanism was established. [OBJ-CB-8.1.2b] "MWh is activity data; the rule violates the public-report constraint" (Marumo REF-1, Reinholt-3, Ben-Ami-4): partly accepted — scope-conditionality was written into the formulation; mandatory-disclosure regimes (ESRS/TSRS) widen the Universe, and selection bias was removed in the incentive layer by MNAR closure. [OBJ-CB-8.1.2c] "A low IEF_S2 on its own catches the legitimate market-based purchaser" (Demirtaş-Whitfield Obj-5): accepted — the composite condition was carried into the formula. The statement "Category 3 ≈ one quarter of Scope-2" was withdrawn as unreferenced.

E. Residual risk. If the metadata are themselves a strategic variable, the K1 cap is the only line of defense; the weight set is subject to the operator-risk audit of 8.2.

8.1.3 Baseline Inflation

A. Current standard position. GHG Ch.5 governs the base year and the recalculation policy, and ISO 14064-1 §6.4 the same function; the time-series consistency of IPCC 2006 Vol.1 Ch.5 (overlap/surrogate) exists precisely to prevent this break. However, the recalculation threshold is set by the organization and is direction-unconditional; EF vintage selection (setting the base with an old eGRID version) carries no tool-level binding discipline. Nor does a direction-conditional test requirement appear among the proposed Rev.2 orientations (there is no final text).

B. Class-1 objections. [OBJ-GHG-8.1.3 · Ch.5] Recalculation triggers are defined; the absence of a requirement to monitor directional asymmetry is incentive-incompatible; a direction-conditional threshold and an independent re-verification of the base year are recommended for Rev.2. [OBJ-ISO-8.1.3 · §6.4] Same structure: the threshold is company-defined and direction-neutral.

C. Carbonbench rule (K3 — time-consistency layer, v1.1). Three-armed design. (i) Sign test (works with public data): restatements are first passed through the Ch.5/§6.4 trigger-justification mapping; documented structural-change records are excluded; the direction distribution of the remaining unjustified restatements is tested against the empirical base rate of the sector peer group (H₀ empirical; not an unconditional p=0.5); for n<10 no score penalty is generated, only a human-review flag and a Wilson (1927) interval are reported. (ii) IEF break test (scope-conditional): only in the AD-disclosing sub-universe; z = (ln IEF_base − median ln IEF_t)/(1.4826·MAD), where median/MAD are computed excluding the base year (leave-one-out) and the threshold k is calibrated by small-sample simulation [to be verified: Rousseeuw & Croux 1993]; one-sided CUSUM C_t⁺ = max(0, C_{t−1}⁺ + x_t − μ₀ − K) only in the inflation direction (Montgomery, SQC). (iii) Target-presentation cross-sectional test: base-year inflation typically occurs not in the ongoing series but ahead of the target presentation (SBTi application, transition-plan announcement), in one shot; the ongoing-series CUSUM structurally misses this one-shot maneuver. For this reason the test is anchored to the moment of target presentation: the base-year magnitude declared concurrently with the presentation (IEF/intensity in the AD-disclosing sub-universe; the sector-normalized reported total where AD is absent) is tested against the peer-group distribution by a one-sided cross-sectional test, and unjustified upward revisions in the last two reporting years preceding the presentation are weighted. Vintage channel: R = IEF_base/EF_grid(base year, correct vintage); z(R) > z* ∧ no recalculation disclosure → "series break" flag.

D. Class-2 objections and defense. [OBJ-CB-8.1.3a] "H₀: p=0.5 is a straw man; an honest reporter growing through acquisitions receives systematic false positives" (four referees jointly): accepted — a trigger-matching prefilter and an empirical base rate were added; at small n the test is a screening instrument, not an instrument of sanction. [OBJ-CB-8.1.3b] "The IEF series violates the public-report constraint" (Halvorsen H-1, Vasquez-Torres Obj-1): accepted — scope-conditionality and automatic transfer to 8.1.2 were written into the formula. Reviewer correction (Vandermeer): the blindness of ongoing-series monitoring to a one-shot maneuver was accepted, and arm (iii) was added. The rule is at open item v1.1 status; it has been updated accordingly (threshold calibration awaits the simulation results).

E. Residual risk. The power of the test is structurally low on short series (5–8 years); the cross-sectional test targets the one-shot maneuver, but the peer-group distribution may itself shift collectively under the pressure of the target era; deterrence comes not from K3 alone but from the transparency publication of 8.4.1.

Divergence of opinion within the panel (resolved/open). Resolved: The conflict of IEF-based tests with the public-report constraint (Halvorsen, Marumo, Vasquez-Torres ↔ Demirtaş-Whitfield) — resolved by scope-conditional narrowing and referral to the metadata channel; the H₀ symmetry assumption — replaced by an empirical base rate; one-shot blindness — resolved by a target-presentation cross-section test. Open: The weak-dominance claim in 8.1.1 was withdrawn; the design of an individual-level upper bound is on the v1.1 agenda; the base-year inflation dominance hypothesis will be tested with first-cycle data.

8.2 Operator Risk

8.2.1 Self-Approval Loop

A. Current standard position. ISO/IEC 17025 §4.1 establishes impartiality explicitly at laboratory level; ISO 14064-1 §8.1–8.3 requires quality management and GHG Ch.7 governs inventory quality — but a tool-level discipline such as the separation of scoring and approval carries no binding force under these provisions, because of the principle-standard/tool distinction. On the ISAE 3410 side, quality control is referred to firm-level standards [to be verified: ISQC/ISQM linking clause].

B. Class-1 objections. [OBJ-ISO-8.2.1 · §8.1–8.3] Absence of an operator-independence requirement: the quality management provision looks at data and models and does not require separation between the party producing the score and the party approving it.

C. Carbonbench rule (K1). Two-key principle: no manual intervention (override) may be approved by its own author. An attribute p-chart on the override rate: p̄ ± 3√(p̄(1−p̄)/n_t) (Montgomery, SQC); the files of an out-of-limit operator go to a second scorer.

D. Class-2 objections and defense. No direct referee objection has been raised against this leaf; the separate-second-line requirement in 8.4.2 is locked to this rule (it prevents the loop from being re-established through the objection channel).

E. Residual risk. If the two keys are tied to the same organizational hierarchy, the separation remains formal; auditing the organizational chart is delegated to the 8.4.2 evidence chain.

8.2.2 Inspector Bias

A. Current standard position. GHG Ch.10 defines verification but contains no requirement for the quantification of rater agreement; ISO 14064-1 §8.2 contains quality provisions, but an inter-rater agreement metric carries no instrument-level bindingness. AIAG MSA 4th provides the framework for rater bias/reproducibility and, for ordinal scores, attribute agreement analysis.

B. Class-1 objections. [OBJ-GHG-8.2.2 · Ch.10] The verification provision does not require the quantification of inter-assessor agreement; under ISAE 3410 quality control is referred to the firm level [to be verified].

C. Carbonbench rule (K2, v1.1). Inspector bias on the anchor set (a bundle of gold-referenced reports), B_j = x̄_j − x̄_ref, is a matched contrast: since all inspectors score the same bundle, the company-identity effect cancels in the difference. Agreement is quantified with AIAG MSA attribute agreement analysis: kappa + effectiveness/false-alarm rates; kappa is reported stratified by flag prevalence (the paradoxes of Feinstein & Cicchetti 1990). Monitoring is built with an EWMA, on the time-series residuals rather than on the raw scores; λ and L are selected for the target ARL₀ from the tables of Lucas & Saccucci (1990) and the operating characteristic is published in the rule leaf. Double scoring is built to be blind not to company identity but to the previous score and to the other inspector's output.

D. Class-2 objections and defense. [OBJ-CB-8.2.2a] "%GRR thresholds belong to gauge studies with continuous variables; they cannot be carried over to an ordinal score" (five reviewers jointly): accepted — %GRR was abandoned and a kappa-based attribute agreement analysis was adopted. [OBJ-CB-8.2.2b] "Blinding is impossible in a public report; B_j is confounded with the identity effect" (Okonkwo-Lindqvist OBJ-3ii): partly accepted — the term "blind" was withdrawn; the confounding claim was rebutted by the matched-difference result of the block design. A partial counter-reference to the normality objection: EWMA with a small λ is robust to non-normality (Borror, Montgomery & Runger 1999).

E. Residual risk. As the anchor set becomes known to all inspectors, the "training to the set" effect biases the estimate of B_j downwards; rotation of the set is governed by the 8.3.3 protocol.

8.2.3 Conflict of Interest

A. Current standard position. In the verification regime, impartiality is explicitly established and the chain is complete: ISO 14065:2020 binds greenhouse gas verification/validation bodies to the requirements of ISO/IEC 17029; ISO/IEC 17029 governs impartiality as an explicit requirement [to be verified: clause number]; ISO 14066 defines team competence and ISO 14064-3 the verification process (general reference). On the ISAE 3410 side, independence is established via the IESBA code of ethics. The gap therefore does not lie with the verification body; it lies with the actors outside the accreditation chain: the operator who in effect does the quantifying (consultant, software provider — veteran lesson (e): the company most often chooses the software, not the EF), and for scoring tools that fall outside the definition of verification there is no impartiality requirement on the ISO 14064-1 side equivalent to ISO/IEC 17025 §4.1.

B. Class-1 objections. [OBJ-ISO-8.2.3 · 14064-1 §8.1; cross-check: the 14065:2020→17029 chain] The objection in its narrowed form: accredited verification bodies are covered by the 14065/17029 impartiality regime — once this chain has been discussed and eliminated, the remaining gap consists of non-accredited quantification operators and scoring tools; for these actors the absence of a risk-based impartiality analysis requirement remains incentive-incompatible. The addition to 14064-1 of a provision equivalent to 17025 §4.1 / 17029 is recommended.

C. Carbonbench rule (K1+K3). A mandatory disclosure register + rotation of inspector and organization every three periods (we impose upon ourselves, by the principle of self-application, what 17029 requires of accredited bodies). K3: the generosity residual r_ij = s_ij − ŝ_ij in the inspector×organization cell is monitored with a two-sided CUSUM — direction-conditionality is required: in the reporting year generosity feeds the risk of a low score, while in the base year it feeds tolerance for baseline inflation in the opposite direction.

D. Class-2 objections and defense. No direct objection was received; with a reviewer correction (Vandermeer) the addressee of OBJ-ISO-8.2.3 was narrowed by eliminating the 14065/17029 chain. The residual-chart revision of 8.2.2 (autocorrelation correction) applies to the CUSUM of this leaf as well — on the same grounds, with the same solution.

E. Residual risk. The declaration register rests on self-reporting; detecting an undeclared relationship is possible only with an external data source and falls outside the public-report constraint.

Divergence of opinion within the panel (resolved). Carrying the %GRR thresholds into the ordinal score was the shared objection of five reviewers; Reinholt accepted the objection and moved the rule to attribute agreement analysis. In the blinding discussion the term was withdrawn and the matched-contrast defense was accepted by the panel. Vandermeer's architectural correction (the 14065/17029 chain) narrowed the addressee of OBJ-ISO-8.2.3; the objection stands in this form. No open items remain on this branch.

8.3 Model Risk

The inference engine (LLM extractor + scorer) is also a measurement system; ISO 14064-1 §6.2.3 requires the selection of the quantification model from the company, but the model risk of the assessing instrument carries no instrument-level binding force in any regime. In ISAE 3410, the reliability of an auditor's expert falls under general professional due care [to be verified: specific provision].

8.3.1 LLM Version Change

A. Current standard position. In the language of ISO 5725, a violation of the reproducibility condition: the measuring system has changed, the measurand has not. The time-consistency discipline of GHG Ch.5 imposes base-year recalculation on the company inventory; no equivalent requirement is defined for the scoring tool's own series breaks. Same class as veteran lesson (e): the silent series break on vendor/software change.

B. Class-1 objections. [OBJ-ISO-8.3.1 · §6.2.3] Model selection justification is required of the company, but the absence of a requirement for series continuity when the tool changes model leaves the transfer of the §4.5 accuracy principle to the tool layer without binding force. [OBJ-GHG-8.3.1 · Ch.5] The instrument's equivalent of a "base-year recalculation" (retrospective re-scoring) is not defined in any regime.

C. The Carbonbench rule (K0+K3, v1.1). K0: the model version + prompt hash are sealed into every score record. The seal is not a determinism guarantee: numerical nondeterminism is observed even at temperature=0; for that reason, before the bridge, a within-version repeatability baseline is established (the AIAG MSA 4th order: repeatability first, then reproducibility) — same version, same report bundle, m repeat scorings; the repeat-agreement rate is published for categorical fields and the repeatability dispersion σ_rpt for continuous fields. K3: a version transition only by way of a bridge study: n matched reports are scored under both versions; in categorical fields (flag present/absent) a McNemar-type agreement test + κ; in continuous fields the median shift |Δ| is interpreted against the σ_rpt baseline and tested against the condition |Δ| < u_target/3 — this threshold is an engineering rule derived from the principle that the bridge shift must not be the dominant component in the uncertainty budget, its metrological origin being TUR practice [to be verified: the ANSI/NCSL Z540.3 4:1 convention]; the GUM is cited only for the budget-combination framework (JCGM 100:2008). The κ threshold is stratified by field prevalence; the prevalence-robust Gwet AC1 (2008) is reported alongside it. For a version that does not pass, two series are published in parallel and the break is labeled; in addition, per version, D_v = median|score_t(v) − score_t(v−1)| is published across the whole universe (interlocked with 8.4.1).

D. Class-2 objections and defense. [OBJ-CB-8.3.1a] "κ≥0.9 is not tied to a source; kappa collapses in rare-flag fields" (Marumo REF-4, Vasquez-Torres OBJ-4): accepted — prevalence stratification + an AC1 companion were added; for the threshold, a bridge-sample power analysis is an open item for v1.1. [OBJ-CB-8.3.1b] "The 1/3 rule is not a GUM provision" (three reviewers): accepted — the citation was corrected. [OBJ-CB-8.3.1c] "McNemar cannot be applied to a continuous score" (Reinholt OBJ-4): rejected — the test is defined only on binary flag fields, while continuous fields are subject to a separate |Δ| criterion; the phrase "on categorical fields" was carried into the formula. Reviewer correction (Vandermeer): it was accepted that the bridge cannot be interpreted without a test-retest baseline; a within-version repeatability step was added to the formula.

E. Residual risk. A bridge study tests only the field types observed; the behavior of a new version on new field types remains unbridged in the first cycle.

8.3.2 Calibration Drift

A. Current standard position. Two phenomena, under the VIM distinction: the breakdown of the metrological calibration relationship (JCGM 200:2012, §2.39) and the drift of statistical calibration — the agreement of a confidence statement with its realized frequency (Guo et al. 2017, ECE). Even if the model weights do not change, calibration breaks down if the input distribution (TSRS/CSRD template evolution) shifts. GHG Ch.7 governs inventory uncertainty and Ch.1 lays down the consistency principle; calibration evidence for the assessing system is not required under either framework.

B. Class-1 objections. [OBJ-GHG-8.3.2 · Ch.7] The absence of a requirement for calibration evidence of the system assessing the inventory leaves the verification chain incentive-incompatible: a poorly calibrated instrument looks the same as a well-calibrated one.

C. Carbonbench rule (K0+K2, v1.1). K0: the frozen golden set is re-scored in every cycle; the monitoring statistic z_t is tracked with an EWMA established on the residuals of an AR(1)/ARIMA fit (Montgomery, SQC, autocorrelated data section); λ and L are documented with an ARL table such that a target ARL₀ ≥ 370 is obtained. Two-stage trigger: signal → 48-hour verification re-scoring → upon confirmation, publication halt + recalibration (temperature scaling, Guo 2017). Periodic ECE is computed with equal-mass adaptive bins and a bias-corrected estimator [to be verified: Nixon et al. 2019/Kumar et al. 2019]; ECE_t − ECE_0 > δ is the second trigger. K2: raw model confidence is never published directly; a split-conformal interval (framework: Vovk et al.; Angelopoulos & Bates 2023) holds only under an exchangeability regime; under covariate shift, weighted conformal (Tibshirani, Barber, Candès & Ramdas 2019) or adaptive conformal (Gibbs & Candès 2021) is mandatory; the EWMA signal is the trigger for refreshing the calibration set, and the window between signals is published with the label "guarantee suspended". For stratum-conditional coverage, Mondrian/group-conditional conformal is tied to the 8.3.3 strata.

D. Class-2 objections and defense. [OBJ-CB-8.3.2a] "The conformal guarantee dies of the disease it treats: the exchangeability assumption collapses precisely under drift" (four reviewers jointly): accepted — the conditionality was written out explicitly, weighted/adaptive variants were required, and a suspension label was added. [OBJ-CB-8.3.2b] "Repeated scoring of the same set produces autocorrelation; the standard limits and ARL₀≈370 are invalid" (Reinholt, Demirtaş-Whitfield, Ben-Ami): accepted — the residual chart was adopted, an ARL table and a two-stage trigger were added; halting publication on a single point was abandoned. [OBJ-CB-8.3.2c] "ECE bin bias" (Demirtaş-Whitfield): accepted — the estimator was changed.

E. Residual risk. In the window between the moment of the shift and the signal, published intervals remain guarantee-suspended; the length of the window is bounded by the choice of λ but cannot be reduced to zero.

8.3.3 Systematic Model Blindness

A. Current standard position. The error is not random but stratified: systematic failure in particular report classes (language, sector jargon, table layout, TSRS-type local templates). In the language of the GUM, an uncorrected systematic effect; in the language of ISO 5725, while precision is monitored, bias in trueness remains invisible. The ISO 14064-1 §8.1–8.2 data quality provisions are addressed to the reporter; the §6.2.2/Annex C data selection hierarchy is at principle level, and Annex C is informative. An aggregated accuracy metric conceals stratified blindness (Simpson-type masking).

B. Class-1 objections. [OBJ-ISO-8.3.3 · §8.1–8.2 + §6.2.2/Annex C] The stratified performance transparency of the rater system and physicochemical consistency checking carry no instrument-level bindingness; extension of the §4.2 relevance principle to instruments is left to voluntary adoption. On the verification side, tying analytical procedures to the stoichiometric band is not a requirement under either regime [to be verified: the internal structure of the ISAE 3410 analytical-procedure clause].

C. Carbonbench rule (K1+K4). K1 (deterministic pre-check, non-LLM rule engine): stoichiometric upper bound on a mass basis is defined: EF_CO₂ [kg CO₂/kg fuel] ≤ w_C·(44/12)·OF; w_C = carbon mass fraction, OF = oxidation factor. For energy-based factors (kg CO₂/GJ) the calorific basis is disclosed explicitly: ISO 6976 gives the gross calorific value (GCV) from composition; comparison with an NCV-based EF is not made without a documented GCV→NCV conversion — for natural gas the impossibility band is sensitive to this conversion, and is derived from the ISO 6976 composition range on the declared basis. Where AD is voluntarily given, the implied EF is checked against the band; where AD is absent, only in-disclosure impossibility is tested (AD-absence ≠ AD-incorrectness is preserved). A violation does not lower the score; it invalidates it — there is no valid measurement result in the VIM sense. Biogenic disaggregation (ISO 14064-1 Annex D, normative) is applied first. Interlock: the AD disclosure receives a positive metadata credit in the M-index of 8.1.2 — the expected return on disclosure is made to dominate that of concealment. K4: hierarchical Beta-Binomial partial pooling on stratum-level error rates (Gelman et al., BDA); escalation ⇔ P(θ_s/θ_overall > 2 | data) > 0.95 ∧ n_s ≥ 20; in a blinding-candidate stratum automatic scoring is suspended, double-blind relabeling is performed, and the stratum label is published in the transparency report; for small strata, Agresti & Coull (1998) intervals.

D. Class-2 objections and defense. [OBJ-CB-8.3.3] "K1 override operates only against those who provide AD voluntarily; it penalizes transparency" (Reinholt, Note): partly refuted — the override targets impossible disclosure, and a discloser who reports correct data does not lose in expected score; the identification of asymmetry, however, was accepted and locked to the M-index credit.

E. Residual risk. The gold-standard labels may themselves carry human-induced bias; nowhere is the calibration chain anchored to a model-independent "truth".

Divergence of opinion within the panel (resolved/open). Resolved: conformal exchangeability circularity (four reviewers ↔ Ben-Ami) — with weighted/adaptive conformal and an abeyance label; EWMA autocorrelation — with residual charts; the McNemar objection — Ben-Ami's two-criterion defense was accepted by the panel and the objection was dropped; the repeatability basis of the bridge — added with Vandermeer's correction. Open: A power analysis on the bridge sample for the κ/AC1 acceptance threshold (v1.1); empirical validation of the clamping solution for the transparency-penalty asymmetry awaits first-cycle data.

8.4 Accountability

8.4.1 Absence of a Transparency Report

A. Current standard position. GUM's fundamental principle carries over here verbatim: a result is incomplete without its uncertainty (in the spirit of the reporting principle of JCGM 100:2008, §7 [to be verified: exact clause]); ISO 17025 imposes the same obligation on laboratories. ISO 14064-1 §9.3 counts the report content, §8.3 requires the uncertainty from the company; GHG Ch.7/Ch.9 point the same way — but the provisions are aimed at the reporter; a symmetric requirement addressed to the rater is absent in both frameworks. The Paris Agreement Art.13 framework (the 18/CMA.1 MPGs) is the precedent at national level: every submission comes with a recalculation table and an improvement plan.

B. Class-1 objections. [OBJ-GHG-8.4.1 · Ch.7+Ch.9] The uncertainty/reporting obligation is defined only for the inventory owner; the absence of a symmetric transparency requirement for rating instruments leaves a gap that is incentive-incompatible with the accuracy/transparency principles of Ch.1 (Berg/Kölbel/Rigobon 2022 measured the consequence of this asymmetry).

C. The Carbonbench rule (K4). Mandatory field list F = {version, reference-set results, ECE, objection statistics, IEF threshold table, D_v recalculation shift, metadata weight set wᵢ, known blind spots}; completeness T = |published∩F|/|F|; T < 1 → the scores of that cycle carry a "provisional" stamp. Principle of self-application: the M index we apply to companies is applied to ourselves. Error rates are reported with the Wilson (1927) interval in small samples.

D. Class-2 objections and defense. [OBJ-CB-8.4.1] "Publishing recalculation tables makes gaming easier through reverse engineering": defended — UNFCCC practice protects confidential data with the 'C' notation while nonetheless publishing the IEF ranges; an aggregated/k-anonymous publication raises trust without raising the return to gaming.

E. Residual risk. Transparency makes manipulation visible but does not by itself deter it; deterrence depends on the mechanism design of 8.1.

8.4.2 Weakness of the Objection Mechanism

A. Current standard position. The metrological counterpart is the complaints-process requirement of ISO 17025. In the verification regime the channel is defined and the chain is complete: ISO/IEC 17029 governs appeals and complaints processes as explicit requirements [to be verified: clause numbers]; ISO 14065:2020 binds greenhouse gas verification bodies to those requirements; on the ISAE 3410 side, quality management is referred to ISQM [to be verified: linking clause]. The gap in the objection channel therefore does not exist for accredited verification bodies; the gap concerns the quantification results — unverified inventories and scoring systems outside the accreditation chain. In a system without objection, error accumulates asymmetrically: only errors to the disadvantage remain visible; by the logic of Akerlof (1970), the erosion of trust lowers the market value of the score. The loss function is time-dependent: the incentive to object to base-year scores is the inverse of that for the reporting year.

B. Class-1 objections. [OBJ-ISO-8.4.2 · 14064-1 §8.1–8.3; cross-check: the 14065:2020→17029 chain] The objection in its narrowed form: the appeals/complaints requirement of 17029 binds the accredited verification body, but no regime requires a third-party appeal channel against the quantification results themselves — the inventory and score outputs falling outside the verification engagement; this narrow gap lacks binding force, and Carbonbench operates precisely within it.

C. Carbonbench rule (K4, v1.1). We establish, by the principle of self-application, the channel that 17029 requires of accredited bodies: an objection is assessed not by the line that produced the first score but by an organizationally separate second line (breaking the 8.2.1 loop). The overturn rate p̂ = overturned/objections is published with a Wilson (1927) score interval (its small-n performance is documented in Agresti & Coull 1998 and Brown/Cai/DasGupta 2001 [to be verified: Brown et al. citation]). Trigger: Wilson lower bound > 20% ∧ n ≥ 10 → the rule leaf concerned is placed under automatic review. p̂ is not an estimator of the error rate but is a channel-monitoring indicator — objections are endogenously selected; they are therefore reported direction-conditionally (in favor of/against the base year) and comparatively, at constant cost of objecting.

D. Class-2 objections and defense. [OBJ-CB-8.4.2a] "Attributing Wilson to Agresti-Coull is incorrect; the upper-bound trigger fires even at n=2, and a single strategic objection confers rule-overturning power" (Okonkwo-Lindqvist OBJ-1): accepted — the citation was corrected and the trigger was moved to the lower bound and to a minimum n. [OBJ-CB-8.4.2b] "Objections are not iid binomial but endogenous; the intervals do not deliver nominal coverage" (Vasquez-Torres Obj-5): partly accepted — the status of p̂ was reduced to that of an indicator; the cost-adjusted model design open item v1.1. Referee correction (Vandermeer): the addressee of OBJ-ISO-8.4.2 was narrowed by eliminating the 14065/17029 chain.

E. Residual risk. The threshold itself can be gamed through the cost of objecting; this gameability is disclosed explicitly in the transparency report and cost changes are labeled in the same way as series breaks.

Divergence of opinion within the panel (resolved/open). Resolved: the small-n pathology of the overturn-rate trigger and a citation error; the addressee of the objection-channel gap (with the Vandermeer correction the 17029 chain was eliminated, and the objection stands in narrowed form). Open: a cost-adjusted objection model under endogenous selection (v1.1); should the reference set be made public, there is a memorization/gaming risk — set rotation has been delegated to the rules of branch 8.1.

End of Chapter: Error Budget

Objection Index

Bibliography

JCGM 100:2008 (GUM) · JCGM 200:2012 (VIM), §2.39, §3.2 · ISO 5725 · ISO 6976 (GCV; basis disclosure) · ISO/IEC 17025:2017, §4.1, §7.7 · ISO/IEC 17029:2019 (impartiality; appeals/complaints — general reference) · ISO 14065:2020 · ISO 14066 · ISO 14064-1:2018, §4.2, §4.5, §5.2, §6.2, §6.4, §8.1–8.3, §9.3, Annex C (informative), Annex D (normative), Annex E (normative), Annex H · ISO 14064-3 (general reference) · GHG Protocol Corporate Standard (rev. ed.), Ch.1, Ch.3–7, Ch.9–10, App.A · GHG Protocol Scope 2 Guidance (Sotos 2015) · GHG Protocol Scope 3 Standard · ISAE 3410 (IAASB, general reference) · IPCC 2006 Guidelines, Vol.1 Ch.3 (Frey et al.), Ch.5; Vol.2 · Paris Agreement Art.13; Decision 18/CMA.1 · Montgomery, Introduction to Statistical Quality Control (Shewhart/CUSUM/EWMA/I-MR; autocorrelated data; ARL) · AIAG, MSA 4th ed. (repeatability→reproducibility order; attribute agreement analysis) · Bühlmann 1967; Bühlmann & Gisler 2005 · Wilson 1927; Agresti & Coull 1998 · Guo et al. 2017 · Vovk et al.; Angelopoulos & Bates 2023 · Tibshirani, Barber, Candès & Ramdas 2019 · Gibbs & Candès 2021 · Gelman et al., BDA · Weidema & Wesnæs 1996; Ciroth 2016; Limpert et al. 2001 · Berg, Kölbel & Rigobon 2022 · Akerlof 1970 · Feinstein & Cicchetti 1990 · Gwet 2008 · Lucas & Saccucci 1990 · Borror, Montgomery & Runger 1999.

[To be verified — separate list]: ISAE 3410 internal clause structure (limited-assurance procedure clauses; ISQC/ISQM linkage; analytical procedure; reliability of auditor's instruments) · ISO/IEC 17029 impartiality and appeal/complaint clause numbers · the full clause number of the GUM reporting provision · ISO 14064-3 internal clause structure · GHG Rev.2 Scope 2 consultation period and citation · UNFCCC ERT-IEF guidance decision number · ESRS E1-5 paragraph number (Delegated Reg. 2023/2772) · current eGRID/EIA T&D loss rate · Scope 2 Guidance quality-criteria section number · Rousseeuw & Croux 1993 · Nixon et al. 2019 / Kumar, Liang & Ma 2019 (ECE bin bias) · Brown, Cai & DasGupta 2001 · ANSI/NCSL Z540.3 TUR convention · Wheeler's %GRR critique (rendered moot by the revision; retained for the record).

CHAPTER 9 — SYNTHESIS: THE ERROR BUDGET MAP

(Panel: Halvorsen — consolidation; Marumo — variance decomposition; Okonkwo-Lindqvist — collective risk and incentives; Ben-Ami — detection matrix; Reinholt — measurement system and Audit Protocol; Vasquez-Torres — Scope 2 block; Demirtaş-Whitfield — fuel characterization. The Class-2 round has been completed and the revisions have been incorporated into the text as v1.1. The ten-item correction list of the Vandermeer reviewer report — standard reading, internal consistency, reviewer language, confounder preconditions and citation hygiene — has been implemented as v1.2.)

9.0 Introduction: The Map of the Error Universe

The preceding eight chapters walked leaf by leaf through the error universe of the corporate greenhouse gas inventory: unit and basis confusions (Chapters 1, 4), the activity data chain (Chapter 2), the Scope 3 estimation architecture (Chapter 3), time series integrity (Chapter 5), the errors of the extraction pipeline itself (Chapter 6), boundary and consolidation choices, and the score mechanism (Chapter 8). The task of the synthesis chapter is not to add new leaves but to combine them on a single map. The map consists of three objects:

1. Consolidated error budget (9.1, 9.3): which failure mode contributes to total uncertainty, at what magnitude, with what sign, and in what year-context;
2. Detectability matrix (9.2): with what power (α, β) each mode is observed under the public-report-only constraint;
3. Audit Protocol user guide (9.4): how the auditor is to convert these two objects into single-step tests.

The methodological anchor is a translation of national inventory practice to the corporate scale: the error budget is a key category analysis (IPCC 2006, Vol.1 Ch.4) — attention flows to the cell where the product of contribution share × uncertainty is largest; but unlike national practice, not only the level and trend axes but also a third axis — detection power — are carried together. The panel's four founding principles form the chapter's skeleton:

• Principle 1 — Bias does not add up. Random components combine quadratically (JCGM 100:2008, Equation 10); known systematic deviations are corrected (GUM §3.2.4). For uncorrected bias, GUM's own recommendation is the enlarged-interval approach (JCGM 100:2008, §F.2.4.5); carrying the bias on a separate line with its sign, however, is not a GUM provision but a Carbonbench convention — its conceptual basis is the ISO 5725-1 trueness/precision distinction (ownership clarification, v1.2). GUM's Type A/Type B distinction concerns the source of the information; it does not replace the bias/random distinction (JCGM 100:2008, §3.3).
• Principle 2 — The source of correlation is the decision architecture. A single database/software choice moves dozens of line items in the same direction; the effective degrees of freedom is not the number of line items but the number of independent methodology decisions (GUM Equations 13/16).
• Principle 3 — an interval with no declared k cannot be aggregated (GUM Clause 7).
• Principle 4 — The loss function is time-dependent. Downward deviation in the reporting year and upward deviation in the base year are incentive-compatible (GHG Corporate Std Ch.5; ISO 14064-1 §6.4); each budget line carries the magnitude · sign · year-context triad, and every test is written direction-conditionally. This principle describes the incentive structure; it attributes no intent to an individual reporter (v1.2).

Rough ranking across chapters (the entry to the consolidated budget; detail in the 9.5 table): (i) the Scope 3 estimation architecture (Section 3) — largest variance, lowest detectability; (ii) the Scope 2 block (1.5.2/1.6) — high leverage, conditional on grid concentration; (iii) calorific basis and unit errors (1.3, 4.1) — medium-to-large, high detectability; (iv) time-series/base-year modes (3.5.2, 4.5, 8.1.3) — small in level, strategic in trend; (v) the measurement-system share (2.1, 6.5, 8.3) — no flag rate can be interpreted without qualification (the AIAG MSA axiom: observed variance = process + measurement system).

9.1 The Skeleton of the Budget: Rules of Decomposition and Aggregation

A. Current standard position

GHG Protocol Corporate Standard Ch.7 establishes the framework for inventory quality and uncertainty management at principle level; it contains no instrument-level provision as to how the components are to be aggregated. ISO 14064-1:2018 §8.3 requires an uncertainty assessment but does not bind the method; the accuracy principle in §4.5 does not name the trueness/precision distinction. On the Rev.2 side, the full draft is under consultation in mid-2026; there is no final text — objections are directed at the proposed orientations. The greater part of the verification market operates under the ISAE 3410 regime rather than ISO 14064-3; that regime works with materiality on the total and explicitly addresses scientific/estimation uncertainty [to be verified: the clause location of the relevant provision within ISAE 3410]. The panel review found no provision binding the component-aggregation instrument (the quadratic/linear distinction, the correlation term); this gap claim is carried with [to be verified] status until it is tied to a clause number (v1.2, Vandermeer 1).

B. Class-1 Objections

• [OBJ-GHG CB-M 9.1 · Ch.7]: Absence of a requirement for a combination tool and a correlation term — there is no provision preventing bias from being entered into a quadratic sum, or preventing the systematic under-reporting of the budget in inventories that share factors; because of the principle-standard/tool distinction, tool-level discipline carries no binding force. Status: open.
• [OBJ-ISO CB-M 9.1 · §8.3]: The absence of a requirement to separate b̂/σ²; burying correctable bias in an "uncertainty" statement carries no sanction (in tension with GUM §3.2.3). Status: open.
• [OBJ-ISO CB-M 9.1b · §8.3]: The absence of a requirement to disclose the coverage factor (k); without k, ±% ranges are not comparable across companies (a gap that is incentive-incompatible against GUM Clause 7). Status: open.
• [OBJ-ISO CB-M 9.2 · §4.5]: That the accuracy principle does not name trueness/precision; reporting a systematic deviation under the label "uncertainty" achieves formal compliance with the principle. Status: open.

C. Carbonbench Rule (K2/K3)

The budget's ranking metric MSE = b̂² + σ²; the two channels are carried in separate columns — b̂ can be corrected deterministically, whereas σ² falls only through data collection. Combination rules (v1.2):

1. Bias rows signed-linear, magnitude · sign · year-context fields; the corrected b̂ is subtracted from the budget (GUM §3.2.4). Carrying it as a signed separate line is a Carbonbench convention; GUM's alternative for uncorrected bias is an enlarged interval (§F.2.4.5), which may be reported for comparison purposes (v1.2).
2. Random lines quadratic (Equation 10); for large/skewed components, JCGM 101:2008 Monte Carlo; for lognormal sums, Fenton (1960) moment matching, with the skewness basis from Limpert et al. (2001).
3. Correlation is blocked at component level: in the shared-EF case, the EF subcomponent is aggregated as a single input before propagation (ρ_EF=1), while the AD components are propagated independently (GUM Equation 13/16; IPCC 2006 Vol.1 Ch.3 set-up). The √n reduction is an upper bound attained only in the limit u_AD→0, and is labeled as such.
4. An undisclosed ±% is carried as two scenarios (k=1 and k=2); ranking is performed from the conservative scenario; if the source pedigree is documented as IPCC-derived, k≈2 reduces to a single scenario and the assumption is written into the metadata.
5. Reference-condition/basis uncertainties are written into a scenario set, not into a variance: an m³ line without disclosure is carried as signed bias scenarios over the candidate condition set {0; 15; 15.55; 20; 25 °C} × pressure base (ISO 6976; 15.55 °C = 60 °F, a critical point in US-sourced gas data — v1.2; [to be verified: ISO 13443 reference condition set]); if a metadata query resolves the condition, the correction is applied and the line is dropped.

Audit test (single step): "Check that the b̂ and σ² columns are separate in the budget table and that a covariance/block row is present; if not, do not read the shares as a ranking."

D. Class-2 Objections and Defense [OBJ-CB]

Divergence of opinion within the panel (resolved) — CB-M 1.3.1.2. Five referees (Marumo M-1, Reinholt R-1, Ben-Ami, Vasquez-Torres, Demirtaş-Whitfield) converged on the same root: Halvorsen's rule of a "two-point Type B, u=a=2.75%" (i) contradicted his own bias-non-additivity provision — for a given reporter the reference condition is a single fixed unknown, i.e. a bias in the sense of ISO 5725-1; (ii) substituted an uncertainty statement for the correction provision of GUM §3.2.4; (iii) rendered the two-point derivation invalid against the multi-point reference set of ISO 6976. Halvorsen accepted; the revised rule is C-5 above. Closed. (Vandermeer addendum, v1.2: 15.55 °C was added to the candidate set.)

Divergence within the panel (resolved) — HM-SEN-1 ρ=1. Four reviewers (Halvorsen H-1, Okonkwo-Lindqvist 9.H2, Reinholt R-2, Ben-Ami, Vasquez-Torres) showed that line-level ρ=1 inflates the budget in the wrong direction: item uncertainty decomposes as u²ᵢ=u²_AD,ᵢ+u²_EF, and the AD components remain independent. Marumo accepted; component-level blocking (C-3) was made canonical. Marumo's reply to Reinholt's counter-note that "Approach 1 already solves this through category aggregation" stands: there is no requirement binding the discipline resolved in the national inventory to its corporate translation — [OBJ-GHG CB-M 9.1] remains open.

Divergence of opinion within the panel (resolved, by narrowing) — [OBJ-CB 9.H1] the k≈2 convention. Okonkwo-Lindqvist found treating an undisclosed interval as k=2 anti-conservative; Halvorsen defended the 95% convention on IPCC-derived lines, and agreement was reached on the two-scenario solution (C-4). Closed.

E. Residual risk

Component-level blocking assumes that the u_AD/u_EF ratio can be estimated; in a public report this ratio is most often invisible — budget shares must be reported not as points but as intervals.

9.2 Detectability Matrix

A. Current standard position

GHG Corporate Std Ch.10 governs verification at the principle level; ISO 14064-1:2018 §8.1–8.3 requires quality. Limited assurance practice includes, alongside analytical procedures, inquiry, an understanding of the control environment and sample-based recalculation; ISAE 3410 also explicitly addresses scientific/estimation uncertainty [to be verified: the clause location of the relevant provision] (v1.2 correction — the regime does not consist of analytical procedures alone). The panel's scan found no explicit requirement as to the quantification of detection power of these procedures; until the claim can be tied to a clause number it is carried with [to be verified] status — the very reason the matrix exists is that this quantification is not being done today.

B. Class-1 Objections

• [OBJ-ISAE CB-M 9.2 · general]: No requirement was identified as to the reporting of the detection power/false-alarm rate of analytical procedures [to be verified: clause location]; inquiry and recalculation procedures may catch individual deviations, but testing correlated error blocks as though they were individual deviations underprices aggregation risk. The objection is addressed jointly to the two regimes (14064-3 + ISAE 3410). Status: open [awaiting clause-level verification].
• [OBJ-GHG CB-M 8.3.1 · Ch.6/Ch.7]: The absence of a requirement to disclose the version of the calculation tool (software/model); a gap that could be carried into the Rev.2 orientations (there is no final text). Status: open.

C. The Carbonbench Rule (K2-meta; K0 preconditions)

Each cell of the matrix is not a binary label but the (α̂, β̂(θ)) pair (the Neyman–Pearson framework); in small samples the Wilson (1927) / Agresti & Coull (1998) interval lower bound is reported; an empty cell produces not a "flag" but a "priority signal" (abstention — Vovk et al.; Angelopoulos & Bates 2023). The cells are direction-conditional (Principle 4) and — Demirtaş-Whitfield's proposal, unanimous in the panel — an n_min column is added to every line: the minimum series length for which the test is valid. Preconditions: (i) only bucket-based calibrated p enters; if the ECE threshold is exceeded, the layer outputs are suspended (Guo et al. 2017); (ii) the model version is sealed, and a change of version makes recalibration mandatory (CUSUM/EWMA monitoring on a fixed gold set; Montgomery, SQC); (iii) at the budget-matrix interface a model-level common error term is constructed hierarchically (Gelman et al., BDA).

Blinding discipline (HM-SEN-4): a high-contribution/low-power cell (Scope 3 spend-based lines; CB-M 1.6.1.2; pre-K4 CB-M 2.1.1) is treated not as "clean" but is recorded in the "blinding" column and listed as a candidate for the K4 voluntary-data ladder. The distinction between absence of AD and incorrectness of AD is lost precisely in this column; the matrix therefore declares its own blindness explicitly.

Audit test: "Request the α upper bound and the n_min value of the cell on which the flag rests; if the cell is empty, α>10%, or the series is below n_min, demote the flag to signal status."

D. Class-2 Objections and Defense [OBJ-CB]

Divergence of opinion within the panel (resolved) — restatement-based θ. Halvorsen (H-5) and Marumo (M-3): restatement pairs are a conditional sample of detected-and-material errors (Heckman-type selection); β̂ shifts optimistically. Ben-Ami accepted: powers are reported only with the label "detection-conditional upper bound"; until a censoring model is established, only a priority signal is produced from these cells. Closed.

Divergence within the panel (partly resolved) — cross-sectional/longitudinal power (HM-1 × YBA-9.1). Demirtaş-Whitfield showed that Ben-Ami's example — "the GCV/NCV deviation is lost in noise of σ≈1.5–3" — confuses cross-sectional GSD with the longitudinal persistence test; Ben-Ami withdrew the numerical example, but his counter-point was accepted: legitimate calorific heterogeneity produces the same signature and the cross-sectional distribution re-enters in that form as a confounder band. Consensus: the K1 label only where EF_ref is read from an in-report disclosure; the sector-referenced variant sits in K2, with an n-year sign-persistence test and a disclosed α (α≈2^−(n−1)). [OBJ-CB 9.H5 is thereby closed; the empirical GSD specific to carbon EFs is [to be verified].]

Divergence within the panel (resolved) — the conditionality of "mechanical detection" ([OBJ-CB 9.H4]). Okonkwo-Lindqvist and Marumo (M-4): the "high detection" label of the 1.6 family is conditional on the completeness of the metadata disclosure (Akerlof 1970; Berg, Kölbel & Rigobon 2022). Vasquez-Torres downgraded the label to "conditionally high", with a single persistent counter-defense: where a market-based line exists, the absence of its location-based counterpart is not undisclosed metadata but a structural deficiency visible on the face of the report (the Scope 2 Guidance dual-reporting provision, Sotos 2015) — the cell is split into two rows, "error detection" and "non-conformity detection". Closed.

E. Residual risk

The matrix is anchored to a human-labeled golden set; the sampling bias of the golden set itself (6.5.1) is common-mode across all cells of the matrix and cannot be fully separated out while a single model is in operation — the shares are to be read as having scenario-band status.

9.3 Collective Risk Model and Incentive-Compatibility Audit

A. Current standard position

GHG Corporate Std Ch.5 provides for base-year recalculation but leaves the materiality threshold to the company's own policy; Ch.9 lists reporting principles, and source-level metadata disclosure lacks binding force. ISO 14064-1:2018 §6.4 (and the §6.4.3 update provision) carries the same discretion; §9.3 lists report content. Under the ISAE 3410 regime engagements are typically multi-year and recurring; the practitioner routinely compares prior-year disclosures and the base-year recalculation policy (v1.2 correction). The narrowed claim is this: no regime requires a direction-conditional statistical test of the accumulation of base-year revisions — the auditor may see the accumulation, but there is no requirement to quantify it [to be verified: the clause location of retrospective consistency procedures].

B. Class-1 Objections

• [OBJ-GHG CB-M 8.1.3 · Ch.5]: The endogenous selection of the materiality threshold for base-year recalculation is an incentive-incompatible gap: in the era of SBTi-type targets, the choice of threshold is left to the discretion of the party that benefits from an upward base-year revision. This is a finding about incentive structure; it imputes no intent to any individual reporter (v1.2). Status: open.
• [OBJ-ISO CB-M 8.1.2 · §9.3]: Absence of a requirement to disclose the factor source/version; an incomplete metadata disclosure is compatible with formal conformity. Status: open.
• [OBJ-GHG CB-M 4.5.1 · Ch.5]: Absence of a direction-conditional statistical control requirement. Status: open.

C. Carbonbench Rule (K2→K4-conditional; direction-conditional K3)

The total budget is a collective risk sum: S = Σⱼ Nⱼ·Xⱼ — frequency × severity per bucket (Klugman, Panjer & Willmot, Loss Models, Sec. 9); combination is performed by moment matching or simulation (the Panjer recursion is usable only where the frequency reduces to the (a,b,0) class — Demirtaş correction, v1.1). The frequency input is estimated by bucket-based credibility shrinkage:

θ̂_bucket = Z·X̄_bucket + (1−Z)·μ_collective, Z = n/(n+k) (with equal exposure Bühlmann 1967 form; with exposure weights added, Bühlmann-Straub — Bühlmann & Gisler 2005, Ch. 4). The rule is K4-conditional: estimating k requires ground truth, and ground truth is a product of the K4 volunteered-data layer. Test discipline: the parameter is sealed at the start of the quarter, and comparison is made only with post-seal realizations (in the spirit of split-conformal); Benjamini-Hochberg FDR control is applied across m buckets — the Wilson interval is a single-bucket statement. Ranking is by expected loss; the expected exceedance is reported only as a sensitivity analysis, and the tail parameters are also shrunk toward the collective.

The incentive layer (a score is a signal market; Akerlof 1970) imputes no intent: the majority of deviations observed in the field stem from capability and data access (v1.2, Vandermeer); the tests do not test intent; they measure and price the direction-conditional pattern:

• 8.1.1 Few-item disclosure: an undisclosed item is filled with a conservative percentile derived from external anchors (the K1 stoichiometric upper bound). Claim level (v1.1): the mechanism does not guarantee IC; it makes the price of non-disclosure positive (full unraveling requires costlessly verifiable disclosure: Grossman 1981; Milgrom 1981 — which fails under the Carbonbench constraint).
• 8.1.2 missing metadata: no sanction is applied; a line with missing metadata is assigned to the widest uncertainty bucket — the price of withholding information is variance itself.
• 8.1.3 accumulation of upward base-year revisions: Precondition (v1.2): structural-change disclosures (acquisition/divestment/merger; the recalculation scope of GHG Corporate Std Ch.5) are netted out of the revision series — in a company growing by acquisition, upward accumulation is legitimate and structural; without netting, the sign test cannot be run. In the remaining series one-sided sign-count (binomial) test + Wilson interval; CUSUM only in series with n≥20 (Montgomery, SQC).

Audit test: "Match the last five base-year revisions with structural-change disclosures; remove the matched revisions from the series; count the remaining signs and report the binomial p-value of one-sided accumulation with a Wilson interval — do not use a CUSUM h threshold."

D. Class-2 Objections and Defense [OBJ-CB]

Divergence within the panel (resolved) — the credibility machinery. The objections of Halvorsen (H-2: circular validation, tail inconsistency), Marumo (M-2: K4-conditionality, multiplicity), Reinholt (R-3) and Ben-Ami (ARL undefined for CUSUM at n≤5), and Demirtaş (Panjer×Beta-Binomial incompatibility, Bühlmann naming) were all accepted by Okonkwo-Lindqvist and written into block C. The single element defended is the seal freeze: the seal exists precisely against the risk of parameter tampering. Closed.

Divergence of opinion within the panel (open item v1.1) — the endogeneity of the gap-fill prior. Vasquez-Torres (Objection 3) and Ben-Ami: a percentile derived from a voluntary-disclosure pool is not conservative under the pool's selection bias (the Akerlof 1970 mechanism). It is resolved in buckets that have an external anchor (K1 stoichiometric); in buckets where no anchor is found, the prior remains endogenous and the cell is written into the "blindness" column of the matrix. Open item v1.1.

E. Residual risk

The credibility machine assumes the honesty of the collective; if the collective is systematically wrong (8.3.3), the shrinkage shrinks toward the wrong value — this is why incentive auditing is not a substitute for the budget but its complement.

9.4 Audit Protocol: User Guide

A. Current standard position

GHG Corporate Std Ch.10 governs verification; in practice it runs under two regimes (ISO 14064-3 + ISAE 3410), and even limited assurance includes inquiry, an understanding of the control environment and sample-based recalculation procedures (v1.2). The panel's scan did not find, in either regime, an explicit requirement for quantitative measurement of verifier repeatability (R&R-type); until the claim is tied to a clause number it is carried at the status [to be verified: the clause location of the ISAE 3410 quality-control provisions]. Meter calibration evidence is not a reporting requirement.

B. Class-1 Objections

• [OBJ-ISAE CB-M 6.5.2 · general]: In neither assurance regime was an R&R-type quantitative repeatability requirement identified. Status: open [awaiting clause-level verification].
• [OBJ-GHG CB-M 2.1.1 · Ch.7] / [OBJ-ISO CB-M 2.1.1 · §8.1–8.2]: Calibration evidence and the metrological traceability chain (ISO/IEC 17025 §6.4–6.5) are not named. Status: open.

C. The Carbonbench Rule — The Grammar of the Protocol

The citation format is fixed: "CB-M x.y.z.w" — every finding is tied to a single leaf code; a finding without a code cannot enter the protocol. Each leaf is a single-step test. Relationship to the Excel checklist: each row of the checklist = {CB-M code · K-layer · rule/formula · n_min · α statement · single-step test sentence · year-context marker}; the checklist is a projection of the matrix and the budget, not an independent authority — in a conflict the matrix prevails. The measurement-system share (verifier %GRR + model drift) in the budget is always a separate row (AIAG MSA 4th: acceptable <10%, conditional 10–30, ndc≥5); it is not conflated with process improvement. The model line has its own chart: an EWMA on the weekly golden-set hit series (a year ≈ 50 observations — Phase-I is satisfied; the normative anchor is ISO/IEC 17025 §7.7); on an out-of-control signal the seal is suspended; the version log is overlaid on the chart.

CB-M defense matrix (code → layer → rule; selected rows):

D. Class-2 Objections and Defense [OBJ-CB]

Divergence within the panel (resolved) — [OBJ-CB 9.H3] control charts on a short series. Three reviewers (Okonkwo-Lindqvist, Vasquez-Torres, Demirtaş-Whitfield) showed that the Phase-I requirement had been skipped in CB-M 2.1.1. Reinholt accepted: 2.1.1 is the "blindness" line in the public layer; EWMA is constructed only in K4 with n≥20. Rejected extension: 8.3.2 is in a different data regime — the golden-set chart is the system's internal measurement system, whereas the public-report constraint (rule 4) concerns the reporter's data; the EWMA remains unchanged in 8.3.2. Partly accepted: the pre-K4 collective-deviation signal (Bühlmann) is added as a prioritization tool, not as a detection. Closed.

Reviewer correction record (Vandermeer, v1.2) — version-induced break. Annual version updates of the DEFRA/ecoinvent type produce legitimate series breaks; without access to a changelog such a break cannot be separated from an erroneous break. The CB-M 8.3.1×4.5.2 test was converted from the step "flag the break" to the step "request a recalculation/version-change disclosure"; if no disclosure arrives, the row is priced not as a flag but at missing-metadata status (the 8.1.2 mechanism). Closed.

E. Residual risk

If the protocol's own measurement system (auditor R&R + model drift) is not periodically qualified, flag rates cannot distinguish measurement noise from process; at %GRR>30% the detection system is void.

9.5 Consolidated Error Budget and Indexes

Consolidated error budget (across chapters; ranking is MSE-based, tail sensitivity is read in a separate column):

Reading discipline: the bias rows (1–6) do not enter the quadratic sum; decision-level correlation blocks (software/database choice — including the version-induced series break in CB-M 8.3.1×4.5.2) count as a single component. For a version-induced break the test is the step "request a recalculation/version-change disclosure": annual updates of the DEFRA/ecoinvent type produce legitimate breaks and, without access to a changelog, cannot be separated from erroneous breaks (v1.2). The consolidated budget is, owing to the public-report constraint, a lower bound.

Objection Index (code | addressed clause | abstract | status):

References. JCGM 100:2008 (GUM) — §3.2.3–3.2.4, §3.3, §4.3.7, §4.3.9, §5.1–5.2, Clause 7, Equation (10)/(13)/(16), §F.2.4.5; JCGM 101:2008; JCGM 200:2012 (VIM); ISO 5725-1; ISO 6976; ISO/IEC 17025:2017 — §6.4–6.5, §7.7; ISO 14064-1:2018 — §4.5, §5.2, §6.2.2, §6.4, §8.1–8.3, §9.3, Annex C, Annex E; IPCC 2006 Guidelines, Vol.1 Ch.3 (Frey et al.) and Ch.4, Vol.2 Ch.1; GHG Protocol Corporate Standard (rev. ed.) — Ch.5–7, Ch.9–10, App.A; Sotos (2015) Scope 2 Guidance; Corporate Value Chain (Scope 3) Standard; ISAE 3410 (IAASB, general reference); Montgomery, Introduction to Statistical Quality Control; AIAG MSA 4th ed.; Bühlmann (1967); Bühlmann & Gisler (2005); Klugman, Panjer & Willmot, Loss Models; Wilson (1927); Agresti & Coull (1998); Benjamini & Hochberg (1995); Fenton (1960); Limpert, Stahel & Abbt (2001); Guo et al. (2017); Vovk, Gammerman & Shafer; Angelopoulos & Bates (2023); Gelman et al., BDA; Neyman & Pearson (1933) [to be verified: volume/page — until verified, used only as a framework reference]; Akerlof (1970); Grossman (1981); Milgrom (1981); Berg, Kölbel & Rigobon (2022); Brander, Gillenwater & Ascui (2018); Bjørn et al. (2022); EPA eGRID Technical Support Document [to be verified: version year]; AIB European Residual Mix; PCAF Standard.

[To be verified] list (separate): ISAE 3410 internal clause structure (the uncertainty-assessment and scientific/estimation-uncertainty provision, aggregation/sampling, retrospective consistency, quality-control provisions — three gap claims carried with [to be verified] status until tied to a clause number, v1.2); ISO 13443 reference condition set; the ISO 14064-1 Annex E residual mix wording; IPCC Vol.2 default EF uncertainty table numbers/values; empirical GSD for carbon EF; the primary source for the dominance of CEMS flow uncertainty; eGRID publication cycle and subregion extreme ratio; regional T&D loss rates; the section number of the Montgomery Phase-I subgroup requirement according to the edition; Neyman-Pearson 1933 volume/pages.

ANNEX 1 · COMBINED OBJECTION INDEX

Code legend. OBJ-n = reviewer objection n (per reviewer; H-, M-, R-, BA-, V- are reviewer-specific series) · REF-n = referee note n · HM-x = failure-mode identifier (kept from the first draft as a permanent ID) · MK-n = chapter meta-rule · K0–K4 = Carbonbench defense layers.

A total of 53 numbered objections (details in the Objection Index tables at the end of the chapter):

• OBJ-CB 1.1.1
• OBJ-CB 1.1.2
• OBJ-CB 1.1.3
• OBJ-CB 1.2.1
• OBJ-CB 1.3.1
• OBJ-CB 1.4.1
• OBJ-CB 1.5.1
• OBJ-CB 1.5.2
• OBJ-CB 1.6.1
• OBJ-CB 1.6.2
• OBJ-CB 1.7.1
• OBJ-CB 1.7.2
• OBJ-CB 5
• OBJ-CB 9
• OBJ-GHG 1.1.1
• OBJ-GHG 1.1.2
• OBJ-GHG 1.2
• OBJ-GHG 1.3
• OBJ-GHG 1.4
• OBJ-GHG 1.5
• OBJ-GHG 1.6.1
• OBJ-GHG 1.6.2
• OBJ-GHG 1.6.3
• OBJ-GHG 1.7.1
• OBJ-GHG 1.7.2
• OBJ-GHG 1.7.3
• OBJ-GHG 4.1.2
• OBJ-GHG 4.1.3
• OBJ-GHG 4.2.2
• OBJ-GHG 4.2.3
• OBJ-GHG 4.3.1
• OBJ-GHG 4.4.1
• OBJ-GHG 4.4.2
• OBJ-GHG 4.5.1
• OBJ-GHG 4.5.2
• OBJ-GHG 5.5.1
• OBJ-ISAE 1.1
• OBJ-ISO 1.1
• OBJ-ISO 1.2
• OBJ-ISO 1.3
• OBJ-ISO 1.4
• OBJ-ISO 1.5
• OBJ-ISO 1.6.1
• OBJ-ISO 1.6.2
• OBJ-ISO 1.7.1
• OBJ-ISO 1.7.2
• OBJ-ISO 4.1.1
• OBJ-ISO 4.2.1
• OBJ-ISO 4.2.2
• OBJ-ISO 4.3.1
• OBJ-ISO 4.3.2
• OBJ-ISO 4.4.2
• OBJ-ISO 4.5.1

ANNEX 2 · CB-M TAXONOMY SKELETON

Carbon Error Taxonomy — Numbering Standard Draft v0.1

(Joint skeleton of the Carbonbench Global Manual + Audit Protocol — a candidate companion publication to the GHG Protocol)

Standard Discipline (invariant rules)

1. Number = permanent identity. No published number is ever reused or shifted. If a failure mode is retired it is marked "deprecated" and its number is left empty (ISO/CWE discipline) — external references never break.
2. Leaf unit = auditable failure mode. Seven fixed fields on every leaf: Definition · Mechanism · Typical effect (sourced) · Detection procedure (from the public report alone, step by step) · Audit test (auditor step) · Carbonbench rule (layer + formula) · References.
3. Two publications, one taxonomy: MANUAL (the book; explanatory tone) and AUDIT PROTOCOL (checklist tone) — the heading numbers are identical.
4. Versioning: Numbers freeze at v1.0; new failure modes receive a NEW number in the subsequent version.
5. Depth: 4 levels as standard (chapter.section.subsection.failure), with the 5th level reserved for variants.

SECTION 1 — EMISSION FACTORS

1.1 Production of the factor (uncertainty at source) - 1.1.1 Insufficient sample in the measurement campaign - 1.1.2 Technology heterogeneity (same label, different combustion) - 1.1.3 Differences of measurement standard (ISO vs EPA methods) - 1.1.4 Failure to draw the epistemic/aleatory basis distinction 1.2 Database selection - 1.2.1 Value difference between databases (same item) - 1.2.1.1 System boundary difference (combustion only vs WTT/upstream included) - 1.2.1.2 Geographic basis difference (a UK-DEFRA factor used in TR) - 1.2.1.3 Vintage difference (2019 set vs 2025 set) - 1.2.2 Version change within a database left untracked - 1.2.3 Mixed database use (item-by-item cherry-pick) - 1.2.4 Unnecessary fallback to a monetary (spend-based) factor 1.3 Energy and unit bases - 1.3.1 Calorific basis mismatch (NCV/GCV) - 1.3.1.1 GCV invoice kWh × NCV IPCC factor (~10% systematic) - 1.3.1.2 Volume→energy reference conditions (0°C vs 15°C, ~5.5%) - 1.3.1.3 Contractual CV vs measured CV (seasonal Wobbe) - 1.3.2 Density assumption in mass/volume conversions - 1.3.3 Factor unit label errors (kgCO2/kWh vs tCO2/MWh vs gCO2/MJ) 1.4 GWP set - 1.4.1 Choice of AR4/AR5/AR6 and their mixed use - 1.4.2 Fossil/biogenic CH4 distinction - 1.4.3 Use of a horizon other than GWP100 (GWP20) without disclosure 1.5 Time alignment (vintage) - 1.5.1 Factor year ≠ reporting year - 1.5.2 Use of the grid factor at a prior year's value - 1.5.3 Retrospective application of a factor update (without restatement) 1.6 Geographic/organizational resolution (grid electricity) - 1.6.1 Resolution level errors - 1.6.1.1 Use of the national average in a multi-grid country - 1.6.1.2 Unevidenced acceptance of a utility-specific factor - 1.6.1.3 Filling the "Unspecified" purchase mix with a low factor - 1.6.2 Location/market-based confusion - 1.6.2.1 Uncertified market-based claim - 1.6.2.2 Imaginary residual mix where no residual mix exists - 1.6.2.3 Double counting (certificate + national average) - 1.6.3 Inconsistent inclusion/exclusion of transmission/distribution losses 1.7 Deliberate selection (EF shopping) - 1.7.1 Hunting for the lowest factor item by item - 1.7.2 Coarse resolution + low factor combination - 1.7.3 Non-disclosure of the factor source (transparency avoidance)

CHAPTER 2 — ACTIVITY DATA

2.1 Primary measurement — 2.1.1 meter calibration/drift · 2.1.2 billing-period shifts (calendar/fiscal year) · 2.1.3 estimated bill (unread period) · 2.1.4 meter coverage (sub-tenant, common area) 2.2 Units and conversions — 2.2.1 the m³/kWh/tonne/liter chain · 2.2.2 density/load-factor assumption · 2.2.3 thousands-separator and scale (10³/10⁶) errors 2.3 Estimation and extrapolation — 2.3.1 pro-rata estimation of a missing facility · 2.3.2 derivation on a floor-area/headcount/spend basis · 2.3.3 non-disclosure of a fallback to spend-based estimation 2.4 Coverage ratio — 2.4.1 missing site/country coverage · 2.4.2 accumulation of sources deemed "immaterial" · 2.4.3 non-disclosure of the coverage ratio 2.5 Period alignment — 2.5.1 data year ≠ reporting period · 2.5.2 within-year effect of an acquisition/transfer date 2.6 Carbonbench blinding analysis — 2.6.1 absence of activity data in the report · 2.6.2 indirect detection signals (intensity band, EF×AD back-calculation, K0 reconciliation) · 2.6.3 the verification ladder when data is volunteered

CHAPTER 3 — SCOPE AND BOUNDARIES

3.1 Organizational boundary — 3.1.1 choice of control approach (operational/financial/equity) · 3.1.2 silent change of approach · 3.1.3 minority interests and JVs · 3.1.4 franchise/dealer network 3.2 Operational scope (S1/S2) — 3.2.1 fugitive emissions (refrigerant gases) · 3.2.2 company fleet vs employee vehicles · 3.2.3 classification of on-site generation (generator, cogeneration) 3.3 Scope 3 category selection — 3.3.1 unjustified narrowing on grounds of "relevance" (2-10×) · 3.3.2 narrowing of coverage within a category · 3.3.3 mixing of supplier data and spend estimates · 3.3.4 financed emissions (financial sector, PCAF tiers) 3.4 Exclusions — 3.4.1 disclosure of the de minimis threshold · 3.4.2 failure to document the "no data" justification 3.5 Base year and recalculation — 3.5.1 failure to restate upon structural change · 3.5.2 base year selection opportunism 3.6 Offset and certificate accounting — 3.6.1 gross/net confusion · 3.6.2 claim on uncanceled certificates · 3.6.3 "carbon neutral" scope ambiguity

CHAPTER 4 — CALCULATION AND AGGREGATION

4.1 Arithmetic/unit consistency — 4.1.1 kg/t/kt confusion (1000× errors) · 4.1.2 misreading the thousands separator · 4.1.3 line total ≠ disclosed total 4.2 Double/missing counting — 4.2.1 transfers between facilities · 4.2.2 S1-S2 overlap (cogeneration) · 4.2.3 S2-S3 overlap (leased assets) 4.3 GWP application — 4.3.1 wrong multiplier by gas · 4.3.2 gas line not converted to CO2e 4.4 Rounding and reporting precision — 4.4.1 breakdown inconsistency from coarse rounding · 4.4.2 significant-digit overstatement (false precision) 4.5 Consistency across years — 4.5.1 unexplained large deviation · 4.5.2 burying a method change inside the number

CHAPTER 5 — REPORTING AND PUBLICATION

5.1 Internal contradictions — 5.1.1 main table vs annex table (unit/value) · 5.1.2 text vs table · 5.1.3 chart vs data 5.2 Missing metadata — 5.2.1 unit not stated · 5.2.2 calorific basis/boundary/GWP set not specified · 5.2.3 absence of an EF source list 5.3 Format and access — 5.3.1 image PDF (not machine-readable) · 5.3.2 language/terminology inconsistency · 5.3.3 silent publication of a revision (same URL, different figure) 5.4 Presentation manipulation — 5.4.1 selective intensity metric · 5.4.2 chart scale games · 5.4.3 "percentage reduction" base games 5.5 Assurance layer — 5.5.1 concealment of the limited/reasonable scope difference · 5.5.2 generalization of items outside the assurance scope

CHAPTER 6 — FROM REPORT TO CARBONBENCH

6.1 Parse — 6.1.1 failure to resolve table structure · 6.1.2 image PDF/OCR · 6.1.3 loss of page order/sections 6.2 LLM extraction — 6.2.1 wrong cell/row match · 6.2.2 year confusion (2023 vs 2024 columns) · 6.2.3 missed unit label · 6.2.4 hallucination (a value not present in the source) · 6.2.5 scope label confusion (S1 vs S1+2) 6.3 Confidence calibration — 6.3.1 mistaking raw confidence for a probability · 6.3.2 bucket key errors 6.4 Normalization — 6.4.1 currency conversion (year-average vs period-end) · 6.4.2 denominator matching (consolidated/solo) 6.5 Human review — 6.5.1 sampling bias (alpha/beta) · 6.5.2 reviewer consistency (Gage R&R) · 6.5.3 error in the correction itself 6.6 Determinism and seal — 6.6.1 table versioning violation · 6.6.2 platform-dependent arithmetic · 6.6.3 canonicalization errors

CHAPTER 7 — DENOMINATOR AND COMPARISON

7.1 Revenue denominator — 7.1.1 exchange rate selection · 7.1.2 consolidated/standalone mismatch · 7.1.3 thousand-TRY basis · 7.1.4 revenue definition (net sales/revenue/turnover) 7.2 Employee denominator — 7.2.1 FTE vs headcount · 7.2.2 contractors included/excluded 7.3 Sector mapping — 7.3.1 GICS/NACE mismatching · 7.3.2 the holding/conglomerate problem 7.4 Benchmark definition differences — 7.4.1 denominator difference (VA/turnover/spend) · 7.4.2 scope difference (production vs chain) · 7.4.3 year/inflation basis

CHAPTER 8 — SYSTEMIC AND GOVERNANCE RISKS

8.1 Score gaming — 8.1.1 few-item window dressing · 8.1.2 strategic concealment of metadata · 8.1.3 base inflation 8.2 Operator risk — 8.2.1 self-approval loop · 8.2.2 inspector bias · 8.2.3 conflict of interest 8.3 Model risk — 8.3.1 LLM version change · 8.3.2 calibration drift · 8.3.3 systematic model blindness 8.4 Accountability — 8.4.1 absence of a transparency report · 8.4.2 weakness of the objection mechanism

CHAPTER 9 — SYNTHESIS: THE ERROR BUDGET MAP

9.1 Cross-chapter impact ranking (variance decomposition) · 9.2 Detectability matrix (under the public-report-only constraint) · 9.3 Carbonbench defense matrix (error code → layer → rule) · 9.4 Audit Protocol user guide (citation format: "CB-M 1.3.1.1")