A diffusion model for geographically structured populations |
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Authors: | Thomas Nagylaki |
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Institution: | (1) Department of Biophysics and Theoretical Biology, The University of Chicago, 920 East 58th Street, 60637 Chicago, Illinois, USA |
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Abstract: | Summary A diffusion model is derived for the evolution of a diploid monoecious population under the influence of migration, mutation,
selection, and random genetic drift. The population occupies an unbounded linear habitat; migration is independent of genotype,
symmetric, and homogeneous. The treatment is restricted to a single diallelic locus without dominance. With the customary
diffusion hypotheses for migration and the assumption that the mutation rates, selection coefficient, variance of the migrational
displacement, and reciprocal of the population density are all small and of the same order of magnitude, a boundary value
problem is deduced for the mean gene frequency and the covariance between the gene frequencies at any two points in the habitat.
Supported by the National Science Foundation (Grant No. DEB77-21494). |
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Keywords: | |
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