Species persistence decreases with habitat fragmentation: an analysis in periodic stochastic environments |
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Authors: | Lionel Roques Radu S Stoica |
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Institution: | (1) INRA, Unité Biostatistique et Processus Spatiaux, Domaine Saint Paul - Site Agroparc, 84914 Avignon Cedex 9, France;(2) Université Lille 1, Laboratoire Paul Painlevé, 59655 Villeneuve d’Ascq Cedex, France |
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Abstract: | This paper presents a study of a nonlinear reaction–diffusion population model in fragmented environments. The model is set
on , with periodic heterogeneous coefficients obtained using stochastic processes. Using a criterion of species persistence based
on the notion of principal eigenvalue of an elliptic operator, we provided a precise numerical analysis of the interactions
between habitat fragmentation and species persistence. The obtained results clearly indicated that species persistence strongly
tends to decrease with habitat fragmentation. Moreover, comparing two stochastic models of landscape pattern generation, we
observed that in addition to local fragmentation, a more global effect of the position of the habitat patches also influenced
species persistence.
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Keywords: | Reaction-diffusion Species conservation Fragmentation Stochastic landscape models Gibbs measures |
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