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On the concavity of island biogeographic rate functions
Authors:Michael E. Gilpin  Robert A. Armstrong
Affiliation:Department of Biology (C-016), University of California at San Diego, La Jolla, California 92093 U.S.A.;Department of Ecology and Evolution, The State University of New York, Stony Brook, New York 11794 U.S.A.
Abstract:The concavity of the curves for colonization and extinction of species as a function of the species number on an island follows simply and directly from the assumption that there be dispersion in the specific probabilities of colonization and extinction, probabilities which are assumed independent of the total number and identities of the resident species on the island. Thus, a non-interactive model of the behaviors of individual species can account for the gross features of island biogeographic systems.
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