Journal
JOURNAL OF THEORETICAL BIOLOGY
Volume 333, Issue -, Pages 156-165Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2013.05.024
Keywords
Vegetation models; Nonlinear dynamics; Stochastic processes
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Funding
- JAEPredoc program of CSIC
- MICINN (Spain)
- FEDER (EU) through Project FISICOS [FIS2007-60327]
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We propose a model equation for the dynamics of tree density in mesic savannas which considers long-range competition among trees and the effect of fire indirectly acting as a local facilitation mechanism. Despite the fact that we take short-range facilitation to the local-range limit, the standard full spectrum of spatial structures already obtained in self-organization models of vegetation is recovered. Nonlocal competition, in the limit of infinitesimally short facilitation, promotes the clustering of trees. The long time coexistence between trees and grass, and how fires affect the survival of trees as well as the maintenance of the patterns is studied. The influence of demographic noise is analyzed. The stochastic system, under the parameter constraints typical of mesic savannas, shows non-homogeneous patterns characteristic of realistic situations. The coexistence of trees and grass still remains at reasonable noise intensities. (c) 2013 Elsevier Ltd. All rights reserved.
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