Draft, not yet released. In stewardship review. Not indexed until the first approved release.

Methodology

How the edition was made: methods, the model card, the evidence cut and its age, the acceptance record and the glossary.

12 min read0 figures13 tables11 notesNR-SECTOR-SCIENCE-GLOBAL-2026-BASELINE

Contents
  1. ·Edition home
  2. ·Executive summary
  3. 1Science is where the frontier is made
  4. 2Key findings
  5. 3Systems and sectors at baseline
  6. 4Risks and capability
  7. 5Loss of trust in the research record during a fast-moving emergency
  8. 6Readings from the other desks
  9. 7The 2027 agenda
  10. 8Systems in depth
  11. AMethodology
    1. A.1 Methods
    2. A.2 Model card, Science and Engineering Sector Model v0
    3. A.3 The baseline evidence cut
    4. A.4 Evidence age and coverage
    5. A.5 Evidence cards, two anchor sources
    6. A.6 Publication acceptance record
    7. A.7 Status words
    8. A.8 How the edition is made, released and corrected
    9. A.9 Glossary and abbreviations
    10. A.10 Technical annex
  12. BData appendix
  13. CReferences and record
  14. ·Complete edition, for print

A.1Methods

The global baseline uses published values and four simple derivations. Each is shown in full so that any reader can reproduce it.

Table A.1Methods
No.DerivationCalculationResult
(1)Growth in journal articles registered with Crossref, 2015 to 20256,673,658 ÷ 3,345,563≈2.0 times
(2)Growth in arXiv submissions, 2015 to 2025284,486 ÷ 105,280≈2.7 times
(3)Retraction notices per 100,000 journal articles registered, 2015 and 20251,678 ÷ 3,345,563 and 7,632 ÷ 6,673,658≈50 and ≈114
(4)Researcher density, Northern America against Sub-Saharan Africa, 20235,006 ÷ 88≈57 times
Table A.2Coupling strength scale (matrix and model card)
StrengthDefinition
STRONGa disruption in the source system has historically changed the target system’s service or output within one season, in more than one region
MODERATEan effect is documented but buffered or slower
WEAKan effect is plausible but not documented at global scale
Table A.3Status grammar
LabelRule
Reportedvalue as issued by its source, with year
Inferredreasoned from cited evidence; never a measurement
EstimatedNexus analytical value with stated method
Scenarioconditional on stated assumptions
Expert inputstructured editorial judgement awaiting evidence

A.2Model card, Science and Engineering Sector Model v0

Model ID
MDL-GS15-SCIENCE · v0.1
Purpose
represent the global science and engineering system and its couplings to health, food, nature and the digital layer
Family
graph-based system of systems
Inputs
the cited sources of this edition; no proprietary data
Method
expert-specified coupling strengths (STRONG · MODERATE · WEAK) from assessments and analogue events
Validation
none yet, first validation against federation evidence in 2027
Uncertainty
qualitative; strengths are hypotheses, not measurements
Domain of validity
global scale; not for asset-, site- or country-level use
Reproducibility
strength table and sources published in this edition
20couplings

typed in v0

2strong

documented within one season

7moderate

documented, buffered

11weak

plausible, undocumented

A.3The baseline evidence cut

Every Nexus edition is published from a frozen evidence cut. The global baseline cut is documentary: it pins the exact edition of every source cited. Federation cuts begin with the first national Foundry cuts in 2027.

Cut ID
DC-SECTOR-SCIENCE-GLOBAL-2026-B0
Type
baseline documentary cut
Resolution policy
pinned · as of 30 September 2026
Sources pinned
44 cited sources, each at the edition and access date in the references
Model runs
none at baseline, analytical values are stated with their method
Digest
computed at freeze and recorded in the publication record
Supersedes
nothing, first cut of the series
Superseded by
the 2027 science and engineering annual cut

Lineage

  1. 01

    source edition

  2. 02

    pinned citation

  3. 03

    finding

  4. 04

    page

  5. 05

    publication record

Table A.4From the baseline cut to the federation cut
ElementBaseline 20262027 global annual
Sourcescited global publications, pinned by editionnational, regional and sector cuts through one graph
Analysisstated methods and editorial estimatestyped analysis specifications
ModelsScience and Engineering Sector Model v0 specificationmodel runs with receipts
Findingstwelve baseline findingsfindings re-bound to federation evidence
Reviewfive passes scheduledfive passes on the exact digest

A.4Evidence age and coverage

A 2026 global edition rests on evidence observed in many different years. This page shows each time base, so that no single year label hides older evidence.

Table A.5Evidence age and coverage
IndicatorObservedReleasedCadenceNext release
R&D expenditure and shares2024May 2026biennialnext NSB indicators
Researchers and intensity2023Feb 2026 releaseannualnext UNESCO release
Publication output2024May 2026annualnext NSB indicators
Retraction notices2025live at accesscontinuouscontinuous
Preprint volume2025live at accessmonthlymonthly
AI in science2025Apr 2026annualAI Index 2027
Exascale systems2026Jun 2026twice a yearNov 2026 list
Structure and species archives2026live at accesscontinuouscontinuous
Quantum error correction2024Dec 2024one-offfollow-up papers
Dual-use framework20222022one-offrevision not announced
Table A.6Coverage by system at baseline
SystemCoverageThinnest dimension
FundingGOODbasis differences between issuers
PeoplePARTIALresearcher counts outside advanced economies
OutputGOODopen-access and reuse rates
IntegrityPARTIALincidents on a common basis
AI and computePARTIALconfirmed discoveries; private compute
InstrumentsPARTIALcosts and schedules beyond a few projects
Data archivesGOODcoverage bias of records
Research securityTHINincident data not published
Table A.7Designed empty states: what is not bound, what would fill it and why
FieldSource that would fill itBlocker
Reconciliation of world R&D intensity: UNESCO 1.92% and World Bank 2.60% for 2023UNESCO Institute for Statistics2; World Bank3; OECD Frascati Manual39the two series use different coverage and weighting; method notes were not opened
Researcher density on one basis for 2020: World Bank 1,652 and UNESCO 1,340 per millionWorld Bank3; UNESCO Institute for Statistics2issuers differ and were not reconciled in this edition
Share of the literature that is fraudulent or unreliablepublisher integrity units; retraction databases; PNAS case studies14no consolidated database was opened; Crossref notices count notices, not affected papers
Replication rates outside psychologyOpen Science Collaboration16; Baker survey34the one opened study covers psychology only; the survey article is behind a subscription
Open-access share of the global literatureUNESCO open science monitoring; open bibliographic indexesthe index used for counts returned a rate-limit error; no figure is used
Count of experimentally confirmed AI discoveriesStanford HAI AI Index 2026, Science chapter9; Co-Scientist27the chapter states that the list is short but gives no count
Quantum computing progress beyond one error-correction experimentpeer-reviewed papers on other platformsnot retrieved; the one opened result is not generalised
Fusion experiments after the 2022 ignition result and the schedule of large fusion devicesoperator and project publicationsthe project schedule page was not accessible; only the 2022 result page was opened
Cost and schedule of large facilities other than the Future Circular Collider studynational roadmaps and facility operatorsnot retrieved
Research funding changes in 2025 and 2026 by countrynational budget documents; fundersnot retrieved; the NSB indicators cover obligations to FY 2024
Women in engineering and in AI researchUNESCO Institute for Statistics; national statistics officesthe opened series covers all researchers only
Research security incidents on a common basisnational authorities; institutionsincident data are not published on a common basis
TOP500 list of November 2026TOP500 project4release after the evidence close; the June 2026 list is cited
Peer-review capacity and reviewer loadpublishers; learned societiesno consolidated series found at evidence close
Capability rungs beyond open archives and computefunders, institutions, regulatorsnot reviewed

A.5Evidence cards, two anchor sources

Issued by the US National Science Board with NCSES in May 2026 from OECD and national R&D data and Scopus bibliometrics. Biennial. Role: binds FIN-001 and TRD-004. Some data are preliminary.

EVD-GS15-001

NSB Indicators 2026: State of U.S. S&E1

Compiled by UNESCO from national R&D surveys, February 2026 release (data version of May 2026). Annual. Role: binds FIN-002, DAT-003 and the capacity tiles. Regional values are aggregates.

EVD-GS15-002

UNESCO Institute for Statistics data2

Table A.8Quality dimensions at baseline
DimensionEVD-GS15-001EVD-GS15-002
CompletenessOECD and select non-OECD economies; Scopus coveragenational surveys; aggregates depend on coverage
Timelinessabout 17 months after the yearabout 26 months after the year
Revisiontotals may be revised as national data arrivevalues revised at each release
Method transparencytechnical documentation publishedindicator metadata published
External validationcompared with OECD seriesnational statistical review

Evidence cards to follow in 2027

  • Crossref6: retraction notices by publisher and reason
  • UNESCO2: national series behind the regional values
  • AI Index9: data tables behind the science chapter
  • TOP5004: November 2026 list and country totals

A.6Publication acceptance record

Editorial self-check at evidence close. Every applicable item carries a disposition; the remaining items are review, approval and deposit.

Table A.9Publication acceptance record
GroupAreaItemsPassN/APending
D1Identity and scope8800
D2Source and data12912
D3Analysis and models12381
D4Findings and claims9801
D5Figures, tables, maps10622
D6Editorial and citations10802
D7Review and approval130013
D8Artefact and design12705
D9Registry and release9009

Publication gate

Conditions met
14 of 23 at evidence close
Blocking problems
none recorded
Open conditions
reviews, approval of the exact digest, deposit, registry pointer

Not applicable at baseline

Model runs
first runs in Q1 2027
Maps
plates in Q2 2027
Waivers
none

A.7Status words

Table A.10The status every value carries
StatusWhat it means
ObservedMeasured directly and published by the source.
ReportedPublished statistics of an official or institutional source.
DeclaredStated by the body concerned; not independently measured.
EstimatedA Nexus estimate from cited evidence, with its method in Annex A.
ModelledProduced by a stated model from cited inputs.
InferredReasoned from cited evidence; not measured.
ForecastA projection by the cited source.
SimulatedA simulation result under stated assumptions.
ScenarioA conditional statement under stated assumptions; never a prediction.
Expert inputExpert judgement, recorded with its basis.
CandidateProposed for a later edition; not yet evidence.
Evidence-quality levels (EQL 1 to 5) grade the source behind a value; they are not a score of the subject.

A.8How the edition is made, released and corrected

Every edition is built from a sealed evidence cut, reviewed under three keys, signed and deposited before any site shows it as published; corrections go to Nexus Standards as change proposals and feed the next cut.

StepWhat happensSource
01 Evidence arrives from the pillarsFoundry seals observations and indicator series, Universe hands over after-action and scenario findings, and contributions are screened at every gateway, including this site’s.
02 The cut is sealedOn the cut date the evidence is pinned under one identifier, so anyone can rebuild the edition from exactly what it was built on.
03 The edition is assembledThe edition is drafted from its template and content pack. Agents may draft; they never publish and never decide.
04 The keys turnAt the publisher of record the truth key comes first: every value is checked against its source or stated method before the meaning and capital keys turn. No edition moves on until every key has been turned by a named steward.
05 The gate opensA named approver releases one exact digest of the edition; any change after this point is a new version, never a silent edit.
06 Signed and depositedThe PDF, the web edition and the data bundle are signed together with a manifest and an RO-Crate description, and deposited on Zenodo with a concept and a version DOI.
07 Published on its desk’s siteOnly then does the edition show as published on its desk’s Reports site, and the Collection lists it as a part.
08 Corrections go to StandardsMethod and correction findings go to Nexus Standards as change proposals; citations, corrections and new contributions feed the next evidence cut.

A teaching model of the process, not a forecast and not a record of any run; dates and counts on this page come from the programme record. Sources: Reports governance at GCRI Canada (2026); Zenodo, repository of record for Reports deposits (2026).

Lifecycle, one state at a time: Draft, Computed, Evidence bound, Reviewed, Approved for release, Published, Corrected, Superseded. This edition is a draft.

A.9Glossary and abbreviations

Table A.11Series terms
TermMeaning
Baseline Editionthe inaugural annual edition that fixes the reference state for the series
WEFH+Bscience and engineering, energy, food, health and biodiversity, the national nexus core
Couplinga typed dependency through which one system transmits to another
Protection gapthe share of losses not covered by insurance
Capability ladderLISTED → EXISTS → ADEQUATE → TESTED → DEMONSTRATED
EQLevidence-quality level, 1–5
Evidence cuta frozen resolution of exact sources and versions
NNC · NLC · NWGNational Nexus Consortium · National Leadership Council · National Working Groups
Table A.12Abbreviations used in this edition
AbbreviationExpansion
AIartificial intelligence
arXivopen preprint server for physics, mathematics and computer science
CERNEuropean Organization for Nuclear Research
Eflop/sexaflop per second, 10 to the power 18 floating-point operations per second
FTEfull-time equivalent
GBIFGlobal Biodiversity Information Facility
GERDgross domestic expenditure on research and development
NCSESNational Center for Science and Engineering Statistics
NSBNational Science Board
PDBProtein Data Bank
PPPpurchasing power parity
R&Dresearch and development

A.10Technical annex

Table A.13Technical annex
ItemAnnexContentsStatus
A.1Indicator definitionsthe global indicator set, with units and sourcesIN THIS EDITION
A.2Coupling strengthsthe twenty-cell matrix and its rationaleIN THIS EDITION
A.3Scenario specificationSCN-GS15-INT-01 assumptions and signpostsIN THIS EDITION
A.4Capability placementsrung evidence for fifteen functionsIN THIS EDITION
A.5Model diagnosticsfirst runs and validation2027
A.6Sensitivity analysesinfluence of coupling strengths2027
A.7Facility and archive notescards for the major shared facilities and archivesWITH REGIONAL EDITIONS
A.8Review statementspass-by-pass review recordAT RELEASE

A.1 · indicator definition: researchers per million inhabitants

Construct
full-time equivalent researchers engaged in R&D, per million inhabitants
Unit
researchers per million people
Method
issuer indicator based on national R&D surveys; regional aggregates
Source
UNESCO Institute for Statistics, February 2026 data release2
Uncertainty
aggregates depend on national coverage and the World Bank series differs
Known limits
measures headcount in effort, not quality, equipment or freedom to publish

Notes

Numbers are the edition’s reference numbers, so a note reads the same in every chapter. The full list, with every source and its licence, is in Annex C. Annex C, references

  1. 2UNESCO Institute for Statistics (ed.), UIS data API, data version 20260507 (February 2026 data release): indicators EXPGDP.TOT, RESDEN.INHAB.TFTE and FRESP.THC, world and regional aggregates. UNESCO, Montreal. Data pulled and read. Observation year 2023. Accessed 2026-11-03.back
  2. 3DATA VINTAGE AFTER CLOSE: World Bank (ed.), World Development Indicators API (series updated 2026-10-08, after the 30 September evidence close; cited as the position at access): GB.XPD.RSDV.GD.ZS, SP.POP.SCIE.RD.P6, IP.JRN.ARTC.SC, IP.PAT.RESD, IP.PAT.NRES, world values. World Bank, Washington. Data pulled and read. Observation year 2023 (patents 2024, researchers 2020). Accessed 2026-11-03.back
  3. 39UNVERIFIED, not opened: OECD (ed.), Frascati Manual 2015: Guidelines for Collecting and Reporting Data on Research and Experimental Development, cited from memory. OECD Publishing, Paris. Observation year 2015. Accessed 2026-11-03.back
  4. 14Richardson, R.A.K. et al., The entities enabling scientific fraud at scale are large, resilient, and growing rapidly, Proceedings of the National Academy of Sciences 122(32), 2025 (abstract and open full text record read through Europe PMC). National Academy of Sciences, Washington. Observation year 2025. Accessed 2026-11-03.back
  5. 16Open Science Collaboration, Estimating the reproducibility of psychological science, Science 349(6251), aac4716, 2015 (abstract read through Europe PMC; full text not opened). American Association for the Advancement of Science, Washington. Observation year 2015. Accessed 2026-11-03.back
  6. 34UNVERIFIED, not opened: Baker, M., 1,500 scientists lift the lid on reproducibility, Nature 533, 452 to 454, 2016; the article is behind a subscription and only its bibliographic record was checked. Springer Nature, London. No figure from it is used. Observation year 2016. Accessed 2026-11-03.back
  7. 9Stanford HAI (ed.), The 2026 AI Index Report, Chapter 5 Science, chapter page with its highlights. Stanford Institute for Human-Centered AI, Stanford. Page read; the chapter PDF was not opened. Observation year 2025. Accessed 2026-11-03.back
  8. 27Gottweis, J. et al., Accelerating scientific discovery with Co-Scientist, arXiv 2502.18864 (version 2, 2026; abstract read through the arXiv API). Cornell University, Ithaca. Observation year 2025. Accessed 2026-11-03.back
  9. 4TOP500 project (ed.), TOP500 list, 67th edition, June 2026 (release text read in full for the leading systems). TOP500, Prometeus GmbH. Observation year 2026. Accessed 2026-11-03.back
  10. 1NSB (ed.), Science and Engineering Indicators 2026: The State of U.S. Science and Engineering (NSB-SEP-2026-1), May 2026, National Science Board and National Center for Science and Engineering Statistics, US National Science Foundation, Alexandria. Full PDF opened; global R&D, publications, collaboration, venture investment, semiconductor and doctoral-degree figures read from the text. Observation year 2024. Accessed 2026-11-03.back
  11. 6Crossref (ed.), Crossref REST API, work counts by type and publication year and counts of retraction notices (update-type filter), queried live on the access date. Crossref, Oxford. Counts are subject to later registration. Observation year 2025 (series 2015 to 2025). Accessed 2026-11-03.back

Cite this annex

Valadbaygi, S. (Ed.). (2026). Annex A: Methodology. In Nexus Global Science and Engineering Frontier Risk and Resilience Report 2026: Baseline Edition, The State of the World’s Science and Engineering Frontier. (Baseline Edition 2026, Report No. NR-SECTOR-SCIENCE-GLOBAL-2026-BASELINE) [Draft under review]. The Global Centre for Risk and Innovation (GCRI).

Every citation form of the whole report, BibTeX and RIS included, is on the edition home. Cite this report

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