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Periodic polymorphisms with density-dependent selection

Published online by Cambridge University Press:  01 August 1997

LYNN van COLLER
Affiliation:
Department of Forest Sciences, University of British Columbia, 193-2357 Main Mall, Vancouver, B.C., V6T 1Z4, Canada
GENE NAMKOONG
Affiliation:
Department of Forest Sciences, University of British Columbia, 193-2357 Main Mall, Vancouver, B.C., V6T 1Z4, Canada
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Abstract

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It is known that genetic polymorphisms can be maintained in populations without superiority of the heterozygote subject to constant but non-linear selection through periodic and higher-order behaviour. In this paper we explore evolutionary paths from single equilibria to higher-order attractors and the existence of polymorphisms that do not arise from equilibria. We explore whether there is a continuous range of allelic types that can create such polymorphisms. We use a single-locus genetic model with exponential density-dependent fitness functions and show that there are large parameter ranges in regions of both overdominance and partial dominance where polymorphic attractors exist.

Type
Research Article
Copyright
© 1997 Cambridge University Press