Integrodifference models for persistence in fragmented habitats |
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Authors: | R W Van Kirk M A Lewis |
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Institution: | (1) Department of Mathematics, University of Utah, 84112 Salt Lake City, UT, USA;(2) Present address: The Henry's Fork Foundation, P.O. Box 852, 83420 Ashton, Idaho |
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Abstract: | Integrodifference models of growth and dispersal are analyzed on finite domains to investigate the effects of emigration,
local growth dynamics and habitat heterogeneity on population persistence. We derive the bifurcation structure for a range
of population dynamics and present an approximation that allows straighforward calculation of the equilibrium populations
in terms of local growth dynamics and dispersal success rates. We show how population persistence in a heterogeneous environment
depends on the scale of the heterogeneity relative to the organism's characteristic dispersal distance. When organisms tend
to disperse only a short distance, population persistence is dominated by local conditions in high quality patches, but when
dispersal distance is relatively large, poor quality habitat exerts a greater influence. |
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