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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Received: 26 October 1998
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LoFaro, T., Gomulkiewicz, R. Adaptation versus migration in demographically unstable populations. J Math Biol 38, 571–584 (1999). https://doi.org/10.1007/s002850050159
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DOI: https://doi.org/10.1007/s002850050159