Forecast rain probability → rain occurrence

JADE ANALYSIS

Open-Meteo archived precipitation probability → Terrey Hills AWS rain occurrence (≥0.2 mm). Sydney Northern Beaches / Terrey Hills.

Historical strength
Recent strength
Brier 0.1875
Direction
NO SIGNIFICANT CHANGE DETECTED
Confidence
Medium

Identity

Relationship id
fc-rain-nb
Season / context
Daily, 2022–2026
Lag
same-day archived forecast
Period
2022–2026
n
825
Metric
Brier score
Full-period r
— p=—
Historical r
Recent r
Stability
NOT TESTED FOR BREAK
Structural break
Not established
Updated
2026-08-18T12:42:11Z

Li Index

Li Index Λ
0.47Coherent
S
0.25
P
0.75
K
0.25
E
1.00

Forecast→observation treated as a relationship. S and K are the same term: remaining skill versus a stated poor-skill ceiling (MAE 2.5 °C or Brier 0.25).

Λ = (S · P · K · E)^(1/4). If K is missing, three-term geometric mean.

  • SHow organised the association is (|r| / 0.60, capped at 1).
  • PHow much of that organisation remains through time.
  • KOut-of-sample usefulness versus a naïve climatology.
  • EHow much the sample and robustness justify trust in S, P and K.

The paper treats conservation as the structuring of flows that preserve biospheric coherence, and names Confucian Lǐ as principled pattern. The Li Index is that idea made operational for one environmental relationship: remaining usable order. Grier, N. (2025). Conservation is Coherence: Introducing the Negawatt Philosophy of Lawful Design. EarthArXiv preprint.

  • · Not a physical entropy measurement.
  • · Not a regime-shift detector.
  • · Not a 0–100 product score. Components are always shown.

Uncertainty

Bootstrap 95% CI to

Confidence is an evidence judgement, not effect size.

Predictive skill

Brier score 0.1875 (n=825).

Decision relevance

Whether a low rain probability is actually dry on the Northern Beaches.

Evidence drawer

Methods

    Datasets

    • · Open-Meteo Historical Forecast API
    • · GHCN-Daily ASN00066059

    Counter-evidence

      What would weaken this

        Open-Meteo is not the Bureau of Meteorology official forecast. Skill here is a forecast-as-relationship demonstration, not a BOM audit. Terrey Hills AWS is inland and elevated (~199 m); coastal Freshwater/Manly can differ, especially in sea-breeze and orographic rain. ERA5-based archive observations are not independent of some NWP systems. Isolated misses are not treated as evidence that forecasting has degraded.

        View in the relationship graph →