| Issue |
J. Phys. I France
Volume 5, Number 9, September 1995
|
|
|---|---|---|
| Page(s) | 1233 - 1238 | |
| DOI | https://doi.org/10.1051/jp1:1995193 | |
DOI: 10.1051/jp1:1995193
J. Phys. I France 5 (1995) 1233-1238
1 Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany
2 Departamento Fisica, Faculdade de Ciencias, 4000 Porto, Portugal
3 Theoretische Physik - FB 10, Universität Duisburg, 47048 Duisburg, Germany
© Les Editions de Physique 1995
J. Phys. I France 5 (1995) 1233-1238
The Self-Organized Critical Forest-Fire Model with Trees and Bushes
B. Strocka1, J.A.M.S. Duarte2 and M. Schreckenberg31 Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany
2 Departamento Fisica, Faculdade de Ciencias, 4000 Porto, Portugal
3 Theoretische Physik - FB 10, Universität Duisburg, 47048 Duisburg, Germany
(Received 2 May 1995, accepted 16 May 1995)
Abstract
We present a forest-fire model with trees and bushes. Additional to the usual nearest-neighbour fire
spreading both populations can ignite each other at the same lattice site. Simulations in two
dimensions show that the bushes with the higher growth rate remain critical while the
self-organization of the trees is destroyed by quick bush fires which ignite the tree clusters
before they can become large. A mean-field treatment leads to coupled equations for the densities at
the stationary point, depending on the ratio
k of the growth rates.
© Les Editions de Physique 1995