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Phase Transition In A Stochastic Forest Fire Model And Effects Of The Definition Of Neighborhood

Author

Listed:
  • KLAUS LICHTENEGGER

    (Institute of Physics, Universitätsplatz 5, Graz University, 8010 Graz, Austria)

  • WILHELM SCHAPPACHER

    (Institute of Mathematics and Scientific Computing, Heinrichstraße 36, Graz University, 8010 Graz, Austria)

Abstract

We present results on a stochastic forest fire model, where the influence of the neighbor trees is treated in a more realistic way than usual and the definition of neighborhood can be tuned by an additional parameter.This model exhibits a surprisingly sharp phase transition which can be shifted by redefinition of neighborhood. The results can also be interpreted in terms of disease-spreading and are quite unsettling from the epidemiologist's point of view, since variation of one crucial parameter only by a few percent can result in the change from endemic to epidemic behavior.

Suggested Citation

  • Klaus Lichtenegger & Wilhelm Schappacher, 2009. "Phase Transition In A Stochastic Forest Fire Model And Effects Of The Definition Of Neighborhood," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1247-1269.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:08:n:s0129183109014321
    DOI: 10.1142/S0129183109014321
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    Cited by:

    1. Jellouli, Omar & Bernoussi, Abdes Samed, 2022. "The impact of dynamic wind flow behavior on forest fire spread using cellular automata: Application to the watershed BOUKHALEF (Morocco)," Ecological Modelling, Elsevier, vol. 468(C).

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