Articles written in Journal of Genetics
Volume 64 Issue 1 July 1985 pp 21-29
We have examined a model of selection (local selection) in which successive favorable alleles enter into a population by displacing a random fraction of each of the preexisting alleles. When the distribution of fitness among newly arising favorable mutations is given by a power law, then the distribution of allele frequencies in the population converge to a Poisson-Dirichlet limit, and the sampling distribution of alleles is a Ewens distribution. This property leads to a convenient algorithm for simulating random equilibrium frequencies of alleles within samples. The model can also be interpreted in terms of species abundances when each invading species displaces a random fraction of each pre-existing species, or in terms of age structures in populations subjected to random catastrophes.
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