Forest Fire Simulation

The following simulation is a running cellular automaton on a grid using the Von Neumann neighborhood. A cell is either (1) empty (highlighted in brown), (2) occupied by a tree (highlighted in green) or burning (highlighted in red). I implemented the model proposed by Drossl and Schwabl  [1]:

  1. A burning cell turns into an empty cell
  2. A tree will burn if at least one neighbor is burning
  3. A tree ignites with probability \(\gamma\) even if no neighbor is burning
  4. An empty space fills with a tree with probability \(\alpha\)

In this example I use \(\gamma = 5.0 \cdot 10^{-6}\) and \(\alpha = 0.01\) and \(150 \times 150\) cells.


References

  1. [1]B. Drossel and F. Schwabl, Self-Organized Critical Forest-Fire Model, Phys. Rev. Lett. 69, 1629 (1992).