Ricardo Martinez-Garcia, Justin M. Calabrese, Cristobal Lopez
We propose a model equation for the dynamics of tree density in savannas. It only considers long-range competition among trees and the effect of fire, and despite short-range facilitation is not taken into account, we recover the standard spatial patterns observed in realistic situations. Therefore we show that facilitation is not a key ingredient in the modelling of savannas. We also study how fires affect the survival of trees in the long time limit as well as the maintenance of the patterns.
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http://arxiv.org/abs/1209.5178
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