Physical Sciences and Mathematics Commons^™

Expanded Parameters In The Self-Organized Critical Forest Fire Model, Riley Self

Senior Theses

The forest fire model has been used to test the theory of Self-Organized Criticality as a model of complexity. The goal is to search for scale invariance in randomly generated forest fires using a computer simulation. In a previous model by B. Drossel and F. Schwabl,¹ power-law behavior was seen when the nearest neighbors to a tree on fire catch on fire, and it has been assumed that if further trees also catch fire, then it will still exhibit self-organized criticality, showing scale invariance. Testing this assumption aids to the exploration of the applicability of self-organized criticality because the …