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Neutral models of geographical variation

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Stochastic Spatial Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1212))

Abstract

The amount and pattern of genetic variability in a geographically structured population under the joint action of migration, mutation, and random genetic drift is studied. The monoecious, diploid population is subdivided into panmictic colonies that exchange gametes. In each deme, the rate of self-fertilization is equal to the reciprocal of the number of individuals in that deme. Generations are discrete and nonoverlapping; the analysis is restricted to a single locus in the absence of selection; every allele mutates to new alleles at the same rate. It is shown that if the population is at equilibrium, the number of demes is finite, and migration does not alter the deme sizes, then population subdivision produces interdeme differentiation and the mean homozygosity and the effective number of alleles exceed their panmictic values. The equilibrium and transient states of the island, circular stepping-stone, and infinite linear stepping-stone models are investigated in detail.

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Authors and Affiliations

  1. Department of Molecular Genetics and Cell Biology, The University of Chicago, 920 East 58th Street, 60637, Chicago, Illinois, USA

    Thomas Nagylaki

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  1. Thomas Nagylaki
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Petre Tautu

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© 1986 Springer-Verlag

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Nagylaki, T. (1986). Neutral models of geographical variation. In: Tautu, P. (eds) Stochastic Spatial Processes. Lecture Notes in Mathematics, vol 1212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076251

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  • DOI: https://doi.org/10.1007/BFb0076251

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16803-4

  • Online ISBN: 978-3-540-47053-3

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