The Fire Experiment



The forest consists of a rectangular lattice of trees. Each tree in the forest is in one of three possible states:

Time is discrete and the dynamics of the fire process are as follows:

A 150 by 150 forest is shown in the large graph box. Initially, one tree in the center of the forest is on fire. The fire spread probabilities can be varied with the input controls. The simulation automatically stops when no more trees are on fire. The following random variables are recorded at each time unit in the table: the number of healty (green) trees \(X\), the number of trees on fire (red) \(Y\), and the number of burnt trees (black) \(Z\).