Wednesday, September 26, 2012

1209.5178 (Ricardo Martinez-Garcia et al.)

A nonlocal spatial model for savannas    [PDF]

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.
View original: http://arxiv.org/abs/1209.5178

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