Metapopulation models that incorporate both spatial and temporal structure are studied in this paper. The existence and stability of equilibria are provided, and an extinction threshold condition is derived which depends on patch dynamics (patch destruction and creation) and metapopulation dynamics (patch colonization and extinction). These results refine threshold conditions given by previous metapopulation models. By comparing landscapes with different spatial heterogeneities with respect to weighted long-term patch occupancies, we conclude that the pattern of a landscape is of overwhelming importance in determining metapopulation persistence and patch occupancy. We show that the same conclusion holds when a rescue effect is considered. We also derive a stochastic differential equations (SDE) model of the Ito type based on our deterministic model. Our simulations reveal good agreement between the deterministic model and the SDE model. (c) 2005 Elsevier Ltd. All rights reserved.
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LEHNA, UMR 5023, F-69100 Villeurbanne, France
PSL Res Univ, EPHE, UM, SupAgro,IRD,INRA,CEFE,CNRS,UMR 5175, F-34293 Montpellier, FranceLEHNA, UMR 5023, F-69100 Villeurbanne, France
Cayuela, Hugo
Besnard, Aurelien
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PSL Res Univ, EPHE, UM, SupAgro,IRD,INRA,CEFE,CNRS,UMR 5175, F-34293 Montpellier, FranceLEHNA, UMR 5023, F-69100 Villeurbanne, France
Besnard, Aurelien
Quay, Ludivine
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Nat Ecol & Conservat, F-73000 Montagnole, FranceLEHNA, UMR 5023, F-69100 Villeurbanne, France
Quay, Ludivine
Helder, Remi
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URCA, CERFE, Ctr Rech & Format Ecoethol, F-08240 Boult Aux Bois, FranceLEHNA, UMR 5023, F-69100 Villeurbanne, France
Helder, Remi
Lena, Jean-Paul
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LEHNA, UMR 5023, F-69100 Villeurbanne, FranceLEHNA, UMR 5023, F-69100 Villeurbanne, France
Lena, Jean-Paul
Joly, Pierre
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LEHNA, UMR 5023, F-69100 Villeurbanne, FranceLEHNA, UMR 5023, F-69100 Villeurbanne, France
Joly, Pierre
Pichenot, Julian
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URCA, CERFE, Ctr Rech & Format Ecoethol, F-08240 Boult Aux Bois, FranceLEHNA, UMR 5023, F-69100 Villeurbanne, France