G-P19 · TOPIC · uncertainty-and-validationGCRI dossier · service level R0
GCRISystems Science and ModellingIn development
Topic dossier · Systems Science and Modelling

Uncertainty and validation

A model result is useful only when its uncertainty is stated and its fitness for a purpose has been tested. Verification checks that the code solves the equations intended; validation checks that the model represents the real system well enough for the decision at hand. This page sets out how uncertainty is quantified and models are verified and validated, and what evidence serves the decision makers who rely on model results.

Systems · around this subjectDesign, not a record

Coupled model runner

Uncertainty and validation · Coupled model A · Scenario set 3

Ensemble runningGCRI · Systems Science and Modelling

Model coupling graph

nodes: models · edges: exchanged variables

Coupled components

Hydrology1 dayrunoffYes
Power system1 hdemand, outagesYes
Economy1 quarteroutput, pricesPartial
Population1 yearexposureYes

Ensemble output

Coupled model runner: the screen's structure, terms and states for Uncertainty and validation.Placeholder names and illustrative values; a design, not a record or a live system.

Fig.Coupled model runner. Design wireframe with placeholder names and illustrative values, not a record or a live system.

01In brief

The short answer.

Model validation is the assessment of how accurately a model represents the real system for a specific purpose, after verification has shown the code is correct. With uncertainty quantification it states how far results can be trusted, using data not used in calibration and reporting every major source of uncertainty.

02Geography

Hazards and exposure in North America.

For uncertainty and validation, in GCRI's spatial-intelligence reading, the map opens on true-colour imagery, night lights and land cover with relief in 3D and true colour from NASA GIBS, framed on North America; every other NASA layer, live feed and forecast waits in the layer list.

The interactive map needs JavaScript; the layer list and sources are below.

Layers 3

Hazards and exposure, for this page

Latest available

NASA GIBS / EOSDIS · ASTER GDEM (METI, NASA) · Blue Marble (NASA) · © OpenStreetMap contributors (ODbL) · Natural Earth

Loading the latest NASA imagery.

Drag to move. Ctrl or ⌘ and scroll, pinch or the buttons to zoom; hover for the values under the pointer; reset returns to the region.

For uncertainty and validation, in GCRI's spatial-intelligence reading, the map opens on true-colour imagery, night lights and land cover with relief in 3D and true colour from NASA GIBS, framed on North America; every other NASA layer, live feed and forecast waits in the layer list.Satellite and model products as NASA publishes them, each with its own date; indicators, not assessments of any place; claim ceiling INTEGRATED.

Data: NASA GIBS · ASTER GDEM · Blue Marble · © OpenStreetMap contributors · Natural Earth · Copernicus Sentinel-2 L2A · NASA HLS S30Sources and licences

  • We acknowledge the use of imagery provided by services from NASA's Global Imagery Browse Services (GIBS), part of NASA's Earth Science Data and Information System (ESDIS). Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). NASA open data
  • We acknowledge the use of imagery provided by services from NASA's Global Imagery Browse Services (GIBS), part of NASA's Earth Science Data and Information System (ESDIS). Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). NASA open data
  • VIIRS near-real-time products (flood, land surface temperature, snow cover, corrected reflectance), NASA LANCE; imagery via NASA GIBS. Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). NASA open data
  • VIIRS Black Marble night-time lights, NASA Goddard Space Flight Center; distributed by the NASA Level-1 and Atmosphere Archive and Distribution System (LAADS DAAC); imagery via NASA GIBS. Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). NASA open data
  • MODIS land products (vegetation indices, gross primary production, land cover), NASA LP DAAC and LANCE; imagery via NASA GIBS. Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). NASA open data
  • Center for International Earth Science Information Network (CIESIN), Columbia University. 2018. Gridded Population of the World, Version 4 (GPWv4): Population Density, Revision 11. NASA Socioeconomic Data and Applications Center (SEDAC). Licensed under CC BY 4.0. Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). CC BY 4.0
  • GPM IMERG precipitation, NASA Precipitation Processing System; distributed by the NASA Goddard Earth Sciences Data and Information Services Center (GES DISC); imagery via NASA GIBS. Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). NASA open data
  • ASTER GDEM is a product of METI and NASA (ASTER Global Digital Elevation Model V003, NASA LP DAAC); imagery via NASA GIBS. Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). NASA open data
  • Made with Natural Earth. Free vector and raster map data @ naturalearthdata.com. Public domain
  • © OpenStreetMap contributors (ODbL), via NASA GIBS (coastlines, boundaries, roads and place names). Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). ODbL
  • Blue Marble, NASA Earth Observatory; imagery via NASA GIBS. Colours redrawn from the published colour map; values averaged into H3 cells where shown (modified). NASA open data
  • Context on the globe and flat map: coastlines, boundaries, roads and place names from NASA GIBS reference layers (OpenStreetMap data, ODbL, © OpenStreetMap contributors); Blue Marble imagery as an optional base; 3D terrain and the elevation read-out from the ASTER GDEM elevation colour index (5 m to 200 m classes, exaggerated for legibility). Boundaries are drawn as published and imply no position on any territory.
  • Globe: MapLibre GL JS 6.9.1, BSD-3-Clause, © MapLibre contributors.
  • Observed (EO): Copernicus Sentinel-2 L2A (contains modified Copernicus Sentinel data 2026), Microsoft Planetary Computer
  • Observed (EO): NASA HLS S30 (contains modified Copernicus Sentinel data 2026). We acknowledge the use of imagery provided by services from NASA's Global Imagery Browse Services (GIBS), part of NASA's Earth Science Data and Information System (ESDIS).
  • Optional layers (35 sources in the layer list: live, forecast, observed and context) print their provider credit on the map and here when switched on; forecasts are model output and derived indices are estimates.

Layers and dates

  • True colour: VIIRS NOAA-20 corrected reflectance, NASA LANCE · 13 Oct 2026
  • Night-time lights, daily: VIIRS Black Marble (VNP46A2), NASA LAADS DAAC · 12 Oct 2026
  • Land cover type (IGBP), yearly: MODIS Terra and Aqua land cover (MCD12Q1), NASA LP DAAC · 2024
  • Flood water, 3-day composite: VIIRS Global Flood Product, NASA LANCE · 14 Oct 2026
  • Population density, 2020: Population: CIESIN, Columbia University, Gridded Population of the World v4.11 (2018), NASA SEDAC, CC BY 4.0 · static
  • Precipitation rate, daily mean: GPM IMERG, NASA GES DISC · 12 Oct 2026

03The question

Uncertainty and validation: how the risk develops.

Quantifying uncertainty, validation against observations and the limits of calibration. The dossier below sets out how the risk develops, what is measured, where the data come from, how it is modelled and who decides.

Mechanism

Verification precedes validation

Before asking whether a model matches reality, modellers check that the code is correct, through tests, convergence studies and comparison with known solutions.

Mechanism

Validation is purpose-specific

A model valid for one question may be invalid for another. Validation is judged against the accuracy a specific decision needs.

Mechanism

Uncertainty has several sources

Input data, parameters, model structure, numerical error and natural variability each contribute, and each needs a different treatment.

Mechanism

Calibration can hide error

Tuning parameters to match past data can make a model fit for the wrong reasons, so validation needs data not used in calibration.

04Key terms

Terms used on this page.

Each term as this page uses it. Where a standard-setting body defines the term, the wording follows that body.

TermDefinition
Model credibilityThe degree of trust that a model is fit for a specific use, based on evidence.
CalibrationAdjusting model parameters so that model outputs match observed data as closely as possible.
Model discrepancyThe systematic difference between a model and reality that remains after calibration.
05Indicators

What is measured, and how well.

Each indicator carries its unit, its cadence, the kind of source behind it and the evidence label a value would carry. No values are shown: a programme supplies them under its own authority.

IndicatorUnitCadenceSource typeLabel
Verification tests passedpercent of test suiteper releaseModel test recordsOBSERVED
Validation error against independent dataerror metricper validationValidation studiesESTIMATED
Prediction interval coveragepercent of observations inside stated intervalsper evaluationOut-of-sample evaluationOBSERVED
Sensitivity indicesshare of output variance by inputper analysisGlobal sensitivity analysisMODELLED
Models with documented credibility assessmentcountper assessmentModel documentationDECLARED
Independent reviews completedcountper modelReview recordsREPORTED
06Canvas

From sources to decisions.

The topic as a computational graph: named sources feed the methods, an evidence review gates the outputs, and the decisions stay with the authorities that hold them.

Pipeline canvas · Uncertainty and validation as a run graphDesign, not a record
Uncertainty and validation: from horizon scanning to wind-tunnelled policySignals from horizon scanning are clustered into drivers; the most uncertain and impactful define scenario axes; narratives are written; policies are wind-tunnelled against each scenario and signposts monitored. Design of the process, not a record of a run.

Fig. 02Nodes carry their type, two metric rows and a state; connectors show what feeds what; dashed frames name the owners; the timeline is the cadence. Design of the pipeline, not a record of a run.

07Sources

Where the evidence comes from.

Named public datasets and institutional records, each with its licence class. Sources by agreement are used only under their terms and never republished.

SourceWhat it givesLicence class
ASME V&V 10, V&V 20 and V&V 40Verification, validation and credibility standardsLicensed standards, purchase required
NASA-STD-7009Credibility assessment of models and simulationsPublic domain, US government
IPCC uncertainty guidance noteCalibrated uncertainty languagePublic, IPCC terms
SALib and other open sensitivity analysis librariesImplementations of global sensitivity methodsOpen source, MIT licence
Published validation studies in each fieldEvidence on model performanceLicence per publication
08Decisions

Who decides, and what the evidence serves.

Systems Science and Modelling prepares evidence. The decisions below are taken by the authorities named, under their own rules, and never by the platform.

Who decidesThe questionEvidence this page serves
Model ownersWhether a model is fit for a stated purposeCredibility assessments; validation reports
Decision makersHow much weight to give model resultsUncertainty statements
Reviewers and auditorsWhether verification and validation were adequateProtocols and review records

Outputs this topic produces

  • Verification and validation protocols for network models
  • Uncertainty statements in calibrated language
  • Credibility assessments for models used in decisions
  • Validation reports against independent data
09Core questions

What experts ask about uncertainty and validation.

  • Which sources of uncertainty matter most for the decision at hand?
  • How does uncertainty in inputs and parameters propagate to outputs?
  • What observations can test the model, and are they independent of calibration data?
  • How far beyond the calibration conditions can the model be trusted?
  • How should uncertainty be communicated to people who must act on it?
10Mechanisms and drivers

Kinds of uncertainty and why calibration is not validation.

Modellers distinguish aleatory uncertainty, the inherent variability of a system, from epistemic uncertainty, which comes from incomplete knowledge and can in principle be reduced. Structural uncertainty, about whether the model's equations are right, is often the largest and hardest to quantify. Deep uncertainty arises when experts cannot agree even on probability distributions.

Calibration adjusts parameters so that a model matches observations. A well-calibrated model may still be wrong: many parameter combinations can fit the same data, a problem called equifinality, and a model tuned to past conditions may fail under new ones. Validation therefore requires tests against data not used in calibration, and ideally under different conditions.

Validation is purpose-specific. A model may be adequate for estimating averages but not extremes, or for one region but not another.

11Methods and data

Methods and their limits.

  1. 01

    Sensitivity analysis

    Identifying which inputs drive output variation. Global methods are computationally demanding.

  2. 02

    Probabilistic propagation

    Monte Carlo and related methods, using probability and statistics. Results depend on assumed input distributions.

  3. 03

    Bayesian calibration

    Updating parameter beliefs with data and representing model discrepancy. Priors and discrepancy models involve judgement.

  4. 04

    Out-of-sample validation

    Testing against independent data, held-out periods or different locations. Suitable data are often scarce for extremes.

No validation proves a model correct. It establishes confidence for a purpose, within stated conditions.

12Methods

How it is studied, and what the methods cannot say.

13Questions

Questions and answers.

What is the difference between verification and validation?
Verification asks whether the model is solved correctly, that the code does what it is meant to. Validation asks whether it is the right model for the purpose, by comparing it with reality.
Can a model be validated for the future?
Not directly. Models can be tested on past conditions and processes; confidence for new conditions rests on whether the model represents the underlying processes.
What is global sensitivity analysis?
A method that varies all uncertain inputs together to find which ones drive most of the variation in model outputs.
Can uncertainty always be quantified?
Not always. Under deep uncertainty, experts may not agree on probabilities, and other approaches such as scenario analysis are used. See optimization under uncertainty.
What is equifinality?
The situation in which different parameter sets produce equally good fits to observations, so calibration cannot identify the true values.
Does GCRI validate models for regulators?
No. GCRI does not certify. Its method notes describe how validation can be done.
Why is calibration not enough?
Because matching past data does not show that a model will perform under new conditions or for different outputs.
Systems Science and Modelling

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