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Models for Peripheral Populations: The Role of Immigration

  • Robert D. Holt
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 52)

Abstract

The movement of organisms over space has manifold consequences for both the ecology (Levin, 1976; McMurtrie, 1978) and genetics (Endler, 1977; Karlin, 1982) of populations. In this paper I examine how the rate of immigration influences the size, stability and genetic composition of a peripheral population. I contrast two classes of discrete-generation population models. (Comparable continuous-time models have been discussed elsewhere (Holt, 1983).) In the first, immigrants are genetically identical to residents, whereas in the second, immigrants differ at a haploid locus and are less fit in the local environment. For both we can ask how the rate of immigration affects equilibrial population density, N*, local stability, and the pattern of fluctuations around N* in unstable populations. For the genetic model we must also determine conditions for the persistence of a polymorphism. The study of the maintenance of pockets of local adaptation in the face of gene flow is a classical problem in population genetic theory (Haldane, 1930; Nagylaki, 1977). Here I place this problem into an ecological context. If selection coefficients are functions of population density, and immigration can change population size, I show that we cannot understand the ecological consequences of immigration without also understanding the genetic consequences.

Keywords

Peripheral Population Unique Positive Equilibrium Polymorphic Population Population Genetic Theory Unstable Population 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Robert D. Holt

There are no affiliations available

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