Power Law Corridor
Same-day power-law price model with multiplicative statistical bands around its centre. Compare BTC and all model curves on one common price axis. The bands do not represent guaranteed support or resistance and need not contain every historical close.
What is it?
The model centre is C(t) = 10^(-16.509 + 5.690 × log10(days_since_genesis)). The upper and lower curves are C(t) × 10^0.302 and C(t) × 10^-0.302. These fixed model coefficients define statistical bands, not an envelope fitted to every cycle extreme. Dates before a complete year of network age are excluded by the backend.
How to read
Compare BTC with the centre and bands vertically at the same date on their common price axis. The LOG toggle controls every dollar curve. Price can remain outside the bands; their position does not establish a cycle stage by itself.
Key zones
Centre: fair value according to this model. Lower and upper curves: fixed statistical distances in log-price space. A crossing is an observed difference from the model, not proof of a floor or ceiling.
What to observe
Check actual cycle lows and highs against the curves. If they do not touch, do not call the curves cycle support or resistance. A prolonged departure can indicate that the fixed model poorly describes that period.
Historical context
Public power-law research relates Bitcoin price to network age. A statistical fit is a retrospective description. Historical proximity to a cycle low cannot validate predictive accuracy.
Expert notes
The backend keeps fixed coefficients and a fixed multiplicative band width. It does not refit these curves on the displayed period. This differs from the Time Contours view, whose envelope widths are recalculated from all available historical price residuals.
Common mistakes to avoid
A statistical band is not a guaranteed floor or ceiling. A full-history interpretation is not a point-in-time backtest. Extending a power law into the future adds model uncertainty.
Programmatic access
REST API
curl -sS \
'https://api.trinityinsights.io/api/v1/onchain/metrics/power-law-corridor/data?timeframe=90d' \
-H 'X-API-Key: $TRINITY_API_KEY'MCP server
{
"tool": "get_chart_value",
"metric_id": "power-law-corridor",
"timeframe": "1y"
}Required tier: pro. See the pricing grid for the tier list and the MCP documentation for multi-client configuration.
Related metrics
Institutional disclaimer
Trinity Insights is an educational and analytical tool. The metric above does not constitute investment advice. Trinity Insights is not a Crypto-Asset Service Provider (CASP) registered under MiCA Regulation (EU) 2023/1114. See the full disclaimer.