Statistical methods
The 2025 Statistical Method: What Changed and Why It Matters
- Version
- 1.0.0
- Status
- Current
- Published
- Evidence cut-off
Abstract
The FEH 2025 statistical update changes the descriptor lineage, ungauged QMED regression, donor search, pooling construction and urban treatment that sit behind a design-flow estimate. This report separates the official method statements from Hydrometric’s bounded local implementation checks and from the decisions that still belong to a practising hydrologist.
Findings at a glance
- QMED descriptor lineage
- 4 fieldsAREA plus SAAR9120, FARL2015 and BFIHOST19scaled; URBEXT2015 enters the urban chainOne coherent FEH 2025 descriptor set
- Donor candidates
- 8Geographically close starting set for analyst reviewOfficial FEH 2025 ungauged QMED donor-search rule
- Pooling target
- 800 station-yearsAccumulated record target before local reviewOfficial FEH 2025 pooling-group construction target
- Local lock-down sites
- 3RB_02, RL_03 and RD_06 under licensed-fixture gatesThree named catchments when fixtures and database are available
Evidence distributions
FEH 2025 method-change matrix
Five official method elements summarised from FEG v10 and the UKCEH FEH 2025 update; this is a method matrix, not an experimental sample.
| Method element | 2025 method statement | Operational reading |
|---|---|---|
| Descriptor lineage | SAAR9120, FARL2015, URBEXT2015 and BFIHOST19scaled | Keep the descriptor set as one coherent vintage; do not silently mix legacy fields into the 2025 chain. |
| QMED donor search | Eight geographically close candidates | A starting point for analyst review, not an automatically adopted set. |
| Pooling group | Five-component pooling similarity; target 800 station-years | Similarity orders candidates, while record length and descriptor distance determine influence. Rank is not weight. |
| Urban adjustment | 2025 QMED UAF with a factor-of-ten cap; pooled L-CV adjusted | Donor quantities are de-urbanised before transfer and the subject result is re-urbanised. Pooled L-CV is adjusted; pooled L-skew is unchanged. |
| Growth-curve candidates | GLO, GEV, PE3 and KAP3 | Calculate and inspect candidates; the first computed candidate is not automatically adopted. |
The 2025 update changes a chain of dependent choices, not one isolated coefficient. Descriptor vintage, donor custody, pooling construction, urban treatment and distribution review must remain aligned.
Gated local lock-down verification
Three named lock-down catchments; gated tests execute only when the required database and licensed fixtures are present.
| Checked quantity | Acceptance gate | Named catchments | Execution scope |
|---|---|---|---|
| Final donor-adjusted QMED | <3% relative difference | RB_02, RL_03, RD_06 | Database-backed comparison with licensed reference fixtures |
| Urban adjustment factor (UAF) | <0.1% relative difference | RB_02, RL_03, RD_06 | Direct formula comparison with licensed reference fixtures |
| Rural descriptor QMED | <1% relative difference | RB_02, RL_03, RD_06 | Descriptor-equation lock-down with licensed reference fixtures |
These are local regression gates on three named catchments when the licensed fixtures and database are available. They demonstrate bounded consistency for the stated quantities only; they do not compare the complete WINFAP workflow, independently validate the method, or test every equation.
How to read the FEG v10 uncertainty factors
Three uncertainty-use cases; scope follows FEG v10 and does not represent a new Hydrometric calibration study.
| Evidence layer | What it covers | What it does not cover |
|---|---|---|
| Published FEG v10 factor | The estimation case, return period and catchment category named by the relevant published table | A universal allowance for any statistical-method result |
| Heavily urban catchment | No published uncertainty table for heavily urban catchments | Permission to borrow a rural or less-urban row without an explicit limitation |
| Local evidence review | Descriptor, gauge, donor, pooling, distribution and sensitivity evidence assembled for the subject site | A probability interval created by multiplying unrelated diagnostics together |
A published factor is scoped evidence, not a site-specific confidence statement covering every uncertainty source. Where the published category does not fit, the gap must remain visible rather than being filled by an unlabelled substitution.
Hydrometric implementation scope at the evidence cut-off
Five implementation areas reviewed against repository code and tests at the 2026-07-14 evidence cut-off.
| Calculation area | Current implementation | Public claim boundary |
|---|---|---|
| Descriptor and urban QMED | 2025 rural equation, URBEXT2015 UAF and factor-of-ten cap | Formula implementation with bounded local gates, not external accreditation |
| Donor-adjusted QMED | Eight-candidate search, donor de-urbanisation and subject re-urbanisation | Candidates remain reviewable; geographic proximity does not decide adoption by itself |
| Pooling and non-flood processing | Five-component similarity, 800 station-years, record-length and descriptor-distance weighting, and per-member non-flood adjustment | The formed pool remains an analyst-reviewed proposal |
| Distribution fitting | GLO, GEV, PE3 and KAP3 candidate calculations | A computed candidate is not an adopted design distribution |
| Reporting | Structured statistical calculation output and traceable intermediate evidence | Not a complete Environment Agency-style Flood Estimation Report evidence record |
The implemented calculation surface is broader than the local comparison evidence. Each row therefore separates available code from the narrower conclusion justified by current tests and review.
What survived
A coherent 2025 calculation chain
The official descriptor, donor, pooling, urban and candidate-distribution changes can be stated as one traceable method rather than as interchangeable options.
Bounded local implementation checks
Three gated fixture sites enforce exact tolerances for rural descriptor QMED, UAF and final donor-adjusted QMED when their dependencies are available.
Visible analyst custody
Catchment boundaries, donors, pooling membership, distribution choice, sensitivity and limitations remain recorded decisions.
What failed
Automatic adoption from computation order
Neither geographic donor order, pooling rank nor the first calculated distribution is sufficient evidence for adoption.
Why the 2025 change matters
A statistical flood estimate is a dependency chain. Catchment descriptors feed rural QMED; donor evidence modifies that index flood; pooling supplies growth-curve L-moments; urbanisation changes the index flood and pooled variability; and a fitted distribution turns those quantities into return-period estimates. Changing one stage while leaving another on an older basis creates a calculation that is difficult to name, reproduce or review.
The official FEH 2025 update therefore matters as a coordinated method change. This report uses three evidence labels deliberately. Official method means a statement supported by FEG v10 or UKCEH. Demonstrated locally means repository code or a gated lock-down test exists at the evidence cut-off.Analyst inference means a professional interpretation that has not been calibrated as a new performance result.
Descriptor lineage is part of the method
The 2025 chain uses SAAR9120, FARL2015, URBEXT2015 and BFIHOST19scaled. AREA remains the catchment-scale input to the rural regression. These fields must be treated as a coherent descriptor vintage: substituting a legacy rainfall, attenuation, urban or soil field changes the method even when the surrounding equation is labelled “2025”.
Descriptor custody begins with the catchment boundary. Automated retrieval cannot decide whether the boundary follows the effective drainage area, whether reservoir behaviour is represented adequately, or whether the mapped urban extent describes the analysis date. Boundary and descriptor review therefore precede numerical adoption.
Rural QMED and the urban chain
The official 2025 rural descriptor equation implemented locally is:
6.8247 × AREA^0.8499 × 0.1780^(1000/SAAR9120) × FARL2015^3.0450 × 0.0321^(BFIHOST19scaled²)
The equation returns a rural descriptor estimate. URBEXT2015 enters the separate 2025 urban adjustment, whose UAF has a factor-of-ten cap. The cap is a method control, not a promise that estimates near it are well constrained. A large adjustment should intensify review of the boundary, descriptor date, drainage changes and the published uncertainty scope.
Donor custody: geography starts the review
The eight geographically close candidates are a starting point for analyst review. Geographic order is useful because nearby gauges can carry relevant regional information, but proximity does not establish hydrological comparability, data quality or freedom from regulation and other local effects.
Transfer is performed on a rural basis: donor information undergoes de-urbanisation before adjustment, and the resulting subject estimate undergoes re-urbanisation using the subject catchment. The adopted donors should record inclusions, exclusions, sensitivity and the local evidence behind each decision. This geographic and local judgement is distinct from the descriptor-based similarity used to construct a pooling group.
Pooling: selection order is not influence
FEH 2025 uses five-component pooling similarity and accumulates a target of 800 station-years. Similarity supplies a defensible order for assembling candidate stations, but the pooled L-moments use weights that respond to record length and descriptor distance. Rank is not weight. A station’s place in the list must not be reported as its numerical contribution to the pool.
The subject hydrology, station suitability, record quality, unusual flood mechanisms, forced inclusions, exclusions and heterogeneity remain review questions. The automated group is a reproducible proposal; the adopted group is an analyst decision with a recorded reason.
Urban and non-flood adjustments are different operations
Pooling first places member evidence on the required rural basis and then applies the subject urban treatment. Under the 2025 method, pooled L-CV is adjusted; pooled L-skew is unchanged. That rule should remain visible because carrying forward an earlier L-skew adjustment would alter tail shape while appearing to be a minor implementation choice.
Non-flood processing addresses unusually low annual maxima within a station record. The local implementation detects the method-defined low-flow condition and can adjust that member’s L-moments before pooling. It is not an urban adjustment, and it is not permission to delete inconvenient years. The affected station, rule and change in pooled evidence remain reviewable.
Candidate distributions are evidence, not a queue
Hydrometric calculates GLO, GEV, PE3 and KAP3 candidates from the relevant L-moments. The first computed candidate is not automatically adopted. Fitting success shows only that a numerical candidate was obtained; it does not establish plausible upper-tail behaviour for the subject catchment.
Adoption should consider L-moment fit, high-return-period behaviour, sensitivity to pool membership, influential records, physical plausibility and consistency with the stated study purpose. Where candidates diverge materially, the divergence is evidence to report rather than a nuisance to hide behind a default.
Uncertainty factors have a published scope
FEG v10 factors should be used only for the estimation route, catchment category and return period covered by the relevant table. They describe the published method evidence for that case. They do not automatically include errors in the chosen boundary, supplied descriptors, local rating, donor decisions, pooling membership, distribution choice or future land-use assumptions.
There is no published uncertainty table for heavily urban catchments. The absence matters: substituting a factor from another category does not create evidence for the missing case. The report should state the gap, show relevant sensitivities and explain how it affects confidence in the adopted estimate.
Scoped local verification
Demonstrated locally, the gated lock-down suite uses RB_02, RL_03 and RD_06. When the licensed fixtures and database are available, it enforces <3% for final donor-adjusted QMED, <0.1% for UAF and <1% for rural descriptor QMED. The matrix records the same thresholds without exposing the licensed reference values.
These checks protect specific calculations against local regression. Three sites do not compare the whole WINFAP or UKFE workflow, do not provide an independent validation cohort, and do not establish every published equation. Database and licence gating also means a normal public test run can skip the comparisons; a skipped gate is not a passing comparison.
Where analyst judgement remains
Analyst judgement remains at the points where evidence is adopted, not merely calculated. The practitioner reviews the effective catchment boundary and descriptor lineage; accepts, rejects or qualifies donors; reviews the proposed pool and its influential members; adopts a distribution; tests sensitivity; and records the limitations attached to the final estimate.
The relevant distinction is between reproducibility and automation. A reproducible calculation makes each input and consequence visible. It does not remove responsibility for local hydrological reasoning or convert a default into a decision.
Implementation status
At the evidence cut-off, Hydrometric implements the 2025 descriptor QMED equation, UAF cap, donor ruralisation and transfer, five-component pooling similarity, the 800 station-year target, record-aware pooling weights, per-member non-flood processing, the 2025 pooled urban rule, and GLO, GEV, PE3 and KAP3 candidate calculations. It exposes intermediate evidence for review in a structured statistical calculation output.
The verification evidence is narrower than that implementation list. The three-site lock-down thresholds cover the quantities in the verification matrix; known differences in pool membership, L-moments or design flows must remain visible rather than being absorbed into a broad equivalence statement. Research prototypes on other branches are not described here as current functionality.
What we do not conclude
- We do not claim approval, certification or accreditation by the Environment Agency, UKCEH, WINFAP or WHS.
- We do not claim end-to-end equivalence with WINFAP or UKFE, an independent national validation, or proof across every equation.
- We do not present Hydrometric as a replacement for WINFAP, ReFH2 or the FEH Web Service.
- We do not claim that the current structured calculation output is a complete guideline-compliant Flood Estimation Report.
- We do not extend published uncertainty factors beyond their named categories or invent a tabulated factor for heavily urban sites.
Disclosure and licensing boundary
This publication discloses the official equation, descriptor lineage, method stages, implemented calculation scope, named local test sites, acceptance thresholds, gating conditions and evidential limits. Its external citations are the Environment Agency and UKCEH primary sources recorded with the report.
It withholds licensed fixture values, paid exports, restricted database records, customer catchments, private analyst notes and code-level workflow logic that would reconstruct the proprietary engine. The disclosed thresholds make the local claim auditable without redistributing commercial material.
Claim record
Each claim is classified by the evidence that supports it. The boundary states what the claim does not establish.
Supported externally
The FEH 2025 rural descriptor equation uses AREA, SAAR9120, FARL2015 and BFIHOST19scaled as a coherent input lineage.
- Interpretation
- A result labelled as the 2025 method should not silently substitute older descriptor vintages inside that chain.
- Boundary
- This states the official regression basis; it does not establish that the supplied descriptors are correct for a particular catchment boundary.
- Linked result
- FEH 2025 method-change matrix; sample: Five official method elements summarised from FEG v10 and the UKCEH FEH 2025 update; this is a method matrix, not an experimental sample.
Supported externally
The 2025 ungauged QMED procedure identifies eight geographically close donor candidates and transfers ruralised donor information before re-urbanising for the subject catchment.
- Interpretation
- The eight candidates create a review set; local hydrological suitability remains separate from both geographic order and pooling similarity.
- Boundary
- The official candidate count is not a direction to adopt every candidate or to bypass donor review.
- Linked result
- FEH 2025 method-change matrix; sample: Five official method elements summarised from FEG v10 and the UKCEH FEH 2025 update; this is a method matrix, not an experimental sample.
Supported externally
The FEH 2025 pooling procedure uses five-component similarity and targets 800 station-years, with weights responding to descriptor distance and record length.
- Interpretation
- Candidate rank determines the order of assembly, not each station’s final influence on pooled L-moments.
- Boundary
- The target and weighting rules do not remove the need to review station suitability, forced inclusions, exclusions and heterogeneity.
- Linked result
- FEH 2025 method-change matrix; sample: Five official method elements summarised from FEG v10 and the UKCEH FEH 2025 update; this is a method matrix, not an experimental sample.
Supported externally
The 2025 method caps QMED UAF at 10, applies the pooled urban adjustment to L-CV while leaving L-skew unchanged, and supports review of GLO, GEV, PE3 and KAP3 candidates.
- Interpretation
- Urban treatment and distribution choice are explicit stages; calculation does not settle adoption.
- Boundary
- This method statement is not evidence that every candidate family is appropriate for every catchment or return period.
- Linked result
- FEH 2025 method-change matrix; sample: Five official method elements summarised from FEG v10 and the UKCEH FEH 2025 update; this is a method matrix, not an experimental sample.
Demonstrated
Across RB_02, RL_03 and RD_06, the gated local lock-down suite enforces relative-difference gates of <3% for final donor-adjusted QMED, <0.1% for UAF and <1% for rural descriptor QMED when the licensed fixtures and database are available.
- Interpretation
- These checks are local regression locks for three named implementation fixtures and protect the stated calculations from silent drift.
- Boundary
- The comparisons may be skipped when the database or licensed fixtures are unavailable. They do not establish full WINFAP or UKFE parity, independent validation, official approval or coverage of every equation.
- Linked result
- Gated local lock-down verification; sample: Three named lock-down catchments; gated tests execute only when the required database and licensed fixtures are present.
- Evidence
- Hydrometric FEH 2025 local QMED lock-down suite (2026).Evidence ID:
1bb100b7
- Hydrometric FEH 2025 local QMED lock-down suite (2026).Evidence ID:
Supported externally
FEG v10 uncertainty factors apply only to the cases defined by their published tables, and the guidance provides no table for heavily urban catchments.
- Interpretation
- An unavailable category is an uncertainty limitation to disclose, not a blank to fill with an unlabelled factor from another case.
- Boundary
- The tabulated factors are not presented here as site-specific intervals or as coverage of every evidence source.
- Linked result
- How to read the FEG v10 uncertainty factors; sample: Three uncertainty-use cases; scope follows FEG v10 and does not represent a new Hydrometric calibration study.
Inference
A defensible statistical estimate should preserve analyst custody of the catchment boundary, donor set, pooling group, adopted distribution, sensitivity tests and stated limitations.
- Interpretation
- The method becomes auditable when computation and adoption are recorded as separate steps.
- Boundary
- This is a professional-practice inference from the official method and guidance, not a newly calibrated performance result.
Primary sources
- Environment Agency (2025), Flood Estimation Guidelines, Version 10.
- UKCEH (2025), FEH 2025 Statistical Method Update, version 1.4.
- UKCEH, Flood Estimation Handbook research and method updates.
- Hydrometric FEH 2025 local QMED lock-down suite (2026).Evidence ID:
1bb100b7
Version history
- Version 1.0.0current
Initial practitioner report on the FEH 2025 statistical method and bounded local implementation scope.
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