Journal article
Adaptation versus migration in demographically unstable populations
Journal of mathematical biology, Vol.38(6), pp.571-584
06/1999
Handle:
https://hdl.handle.net/2376/107637
Abstract
We analyze a model of the joint population and evolutionary dynamics of a diploid “island” population that receives a recurrent influx of immigrants from a hypothetical continent population. We derive a criterion for the initial spread of a rare allele when the island population dynamics initially are chaotic. By computing a Liapunov exponent, we show that this criterion depends on a generalization of the geometric mean absolute fitness of individuals heterozygous for the rare allele. This criterion applies regardless of whether the initial population is self-sustaining or not.
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Details
- Title
- Adaptation versus migration in demographically unstable populations
- Creators
- Thomas LoFaro - Department of Pure and Applied Mathematics, Washington State University, Pullman, WA 99163-3113, USA. e-mail: lofaro@trout.math.wsu.edu USRichard Gomulkiewicz - Department of Pure and Applied Mathematics and Department of Genetics and Cell Biology, Washington State University, Pullman, WA 99163-3113, USA. e-mail: gomulki@wsu.edu US
- Publication Details
- Journal of mathematical biology, Vol.38(6), pp.571-584
- Academic Unit
- Biological Sciences, School of
- Publisher
- Springer-Verlag; Berlin/Heidelberg
- Identifiers
- 99900547333101842
- Language
- English
- Resource Type
- Journal article