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An analytical approach to spatio-temporal dynamics of neutral community models

Dimitri Vanpeteghem 1 Bart Haegeman 2 
2 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : We propose a spatial version of the neutral community model on a network of interconnected patches. The dynamical equations for the abundances and higher order moments of the abundances are established. Due to the neutrality assumption these equations are autonomous, enabling an exact analysis of spatio-temporal dynamics. We compute local (i.e., inside a patch) and global (i.e., between patches) diversities, and illustrate our results with two examples: (1) a non-spatial community, for which we recover previous results, and (2) a model with a finite number of patches which are all connected to each other with equal migration intensity. We discuss the relevance of this model for experiments in microbial ecology.
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Submitted on : Wednesday, December 7, 2011 - 11:47:56 AM
Last modification on : Friday, February 4, 2022 - 3:23:14 AM

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Dimitri Vanpeteghem, Bart Haegeman. An analytical approach to spatio-temporal dynamics of neutral community models. Journal of Mathematical Biology, Springer Verlag (Germany), 2010, 61 (3), pp.323-357. ⟨10.1007/s00285-009-0303-6⟩. ⟨hal-00649181⟩



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