Methodology
How the scores are computed. The methodology replicates Simpson (2026). All code is open source.
Data source
The Anthropic Economic Index is published roughly quarterly on HuggingFace. Each release contains country-level data on Claude usage patterns collected over a one-week sampling window: conversation counts, collaboration patterns, task success rates, use case classifications, and education-level estimates.
Countries are included when they have at least 200 conversations in the sampling window. Population data for per-capita calculations comes from the World Bank Open Data API.
Agency composite
The agency score is the mean of up to four min-max normalised components:
- Co-creation rate: task iteration + learning + validation as a share of all conversations
- Directive rate (inverted): share of purely directive conversations, flipped so less directive = higher agency
- Task success rate: share of conversations classified as successful
- Prompt education level: mean education-years estimate of prompt content
Each component is min-max normalised across all countries in the release to a [0, 1] range. The composite is the arithmetic mean. When a component is not available in a release (see variable availability), it is excluded from the average.
Access score
Access is calculated as:
access = log₁₀(usage_count / population) The log transform compresses the right-skewed distribution of per-capita usage rates, making the scatter plot readable across several orders of magnitude.
Stage assignment
Countries are assigned to stages using sequential threshold rules applied to use-case share data. The rules are applied in order; the first match wins:
- Stage 1 (Full Dependency): coursework share > 30%
- Stage 2 (Elite Empowerment): work share > 48% AND coursework share < 25%
- Stage 3 (Passive Dependency): personal share > 38%
- Residual: agency composite score ≥ 0.55 → Stage 2; ≥ 0.42 → Stage 3; otherwise Stage 1
When use-case data is not available (as in the September 2025 release), all countries are classified using the residual agency-score rules.
Variable availability by release
| Variable | Sep 2025 | Jan 2026 | Mar 2026 |
|---|---|---|---|
| Collaboration patterns | Yes | Yes | Yes |
| Task success rate | No | Yes | Yes |
| Use case shares | No | Yes | Yes |
| Education level | No | Yes | No |
| Agency components used | 2 of 4 | 4 of 4 | 3 of 4 |
Limitations
- Single platform. The AEI captures Claude only. Countries where ChatGPT or Gemini dominate will look lower-access than they are.
- Selection bias. Claude skews English-speaking and higher-income. Anglophone access scores are likely inflated.
- One-week window. Each release samples a single week, which may not reflect longer-term patterns.
- Threshold sensitivity. Stage rules use fixed cutpoints from the paper. Small changes can move individual countries between stages.
- Variable availability. Earlier releases have fewer agency components, so cross-wave comparisons are less precise.
Papers
The AI Matrix framework is developed across two foundational papers. Two further papers provide empirical support using the same data sources this site draws from.
Foundational
Simpson, E. (2026). The AI Matrix as Diagnostic: Access, Agency, and Adoption. Zenodo. https://doi.org/10.5281/zenodo.18181372
Introduces the conceptual framework: access vs agency, four quadrants, and the bottleneck logic (adoption correlates most strongly with the weaker axis).
Simpson, E. (2026). Decomposing the Capability Overhang: Access, Agency, and the Geography of AI Adoption. Zenodo. https://doi.org/10.5281/zenodo.19250306
Operationalizes the framework with public data and validates the bottleneck logic across 69 economies.
Supporting evidence
Simpson, E. (2026). The LLM Usage Gap: Evidence from Anthropic, Microsoft, and OpenAI. Zenodo. https://doi.org/10.5281/zenodo.18322837
Examines the gap between reported AI adoption rates and actual intensity of use. Widespread nominal adoption coexists with shallow, unmanaged use in most organizations.
Simpson, E. (2026). Beyond Adoption: Intensity and Integration as the Missing Link in Firm-Level AI Impact. Zenodo. https://doi.org/10.5281/zenodo.18845259
Argues that adoption rates are the wrong unit of analysis. What matters is intensity and depth of integration: the same distinction between access and agency.
Citation
If you use this data or methodology, please cite:
BibTeX
@article{simpson2026aimatrix,
title={The AI Matrix as Diagnostic: Access, Agency,
and Adoption},
author={Simpson, Ewan},
year={2026},
publisher={Zenodo},
doi={10.5281/zenodo.18181372}
}
@article{simpson2026decomposing,
title={Decomposing the Capability Overhang: Access, Agency,
and the Geography of AI Adoption},
author={Simpson, Ewan},
year={2026},
publisher={Zenodo},
doi={10.5281/zenodo.19250306}
}