Forest Fire & Self-Organized Criticality

Drossel-Schwabl model — trees grow, lightning strikes, fires cascade, power laws emerge

Parameters

Statistics

Trees:0
Burning:0
Empty:0
Tree density:0%
Largest recent fire:0
Total fires logged:0

Fire Size Distribution

Log-log plot — power law → straight line

The forest-fire model self-organizes to a critical state without tuning any parameter. Fire sizes follow a power law P(s) ∝ s^{-α} with α ≈ 1–2. At criticality, large events (spanning fires) coexist with small ones across all scales — the hallmark of SOC (Bak, Tang, Wiesenfeld 1987).