Difference between revisions of "Forest Fire Model"
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| − | A '''forest-fire model''' is any of a number of | + | A '''forest-fire model''' is any of a number of dynamical systems displaying self-organized criticality. The model of Drossel and Schwabl (1992) is defined by four rules which are executed simultaneously: |
# A burning cell turns into an empty cell | # A burning cell turns into an empty cell | ||
Revision as of 23:12, 5 November 2012
A forest-fire model is any of a number of dynamical systems displaying self-organized criticality. The model of Drossel and Schwabl (1992) is defined by four rules which are executed simultaneously:
- A burning cell turns into an empty cell
- A tree will burn if at least one neighbor is burning
- A tree ignites with probability f even if no neighbor is burning
- An empty space fills with a tree with probability p
The controlling parameter of the model is p/f which gives the average number of trees planted between two lightning strikes (see Schenk et al. (1996) and Grassberger (1993)). In order to exhibit a fractal frequency-size distribution of clusters a double separation of time scales is necessary
where Tsmax is the burn time of the largest cluster. The scaling behavior is not simple, however ( Grassberger 1993,2002 and Pruessner et al. 2002,2004).
