Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T04:59:25.691Z Has data issue: false hasContentIssue false

Pattern of neutral polymorphism in a geographically structured population*

Published online by Cambridge University Press:  14 April 2009

Motoo Kimura
Affiliation:
National Institute of Genetics, Mishima, Japan
Takeo Maruyama
Affiliation:
National Institute of Genetics, Mishima, Japan
Rights & Permissions [Opens in a new window]

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In a two-dimensional stepping-stone model of finite size, if a pair of alleles happen to segregate in the whole population, marked local differentiation of gene frequencies can occur only if migration between colonies is sufficiently rare so that Nm < 1, where N is the effective size of each colony and m is the rate at which each colony exchanges individuals with four surrounding colonies each generation. On the other hand, if Nm ≥ 4, the whole population behaves as if it were panmictic and the allelic frequencies become uniform over the entire distribution range unless mutation is unusually high. Tendency toward local differentiation is much weaker in two-dimensional than in one-dimensional habitats.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1971

References

REFERENCES

Crow, J. F. & Kimura, M. (1970). An Introduction to Population Genetics Theory. New York: Harper and Row.Google Scholar
Crow, J. F. & Maruyama, T. (1971). The number of neutral alleles maintained in a finite, geographically structured population. Theoretical Population Biology (in the Press).CrossRefGoogle Scholar
Kimura, M. (1955). Random genetic drift in multi-allelic locus. Evolution 9, 419435.CrossRefGoogle Scholar
Kimura, M. & Crow, J. F. (1964). The number of alleles that can be maintained in a finite population. Genetics 49, 725738.CrossRefGoogle Scholar
Kimura, M. & Ohta, T. (1971). Protein polymorphism as a phase of molecular evolution. Nature 229, 467469.CrossRefGoogle ScholarPubMed
Maruyama, T. (1970 a). On the rate of decrease of heterozygosity in circular stepping stone models of populations. Theoretical Population Biology 1, 101119.CrossRefGoogle ScholarPubMed
Maruyama, T. (1970 b). Effective number of alleles in a subdivided population. Theoretical Population Biology 1, 273306.CrossRefGoogle Scholar
Maruyama, T. (1971 a). Speed of gene substitution in a geographically structured population. American Naturalist 105, 253265.CrossRefGoogle Scholar
Maruyama, T. (1971 b). Asymptotic rate of decrease of genetic variability in subdivided populations. Submitted to Theoretical Population Biology.CrossRefGoogle Scholar
Maruyama, T. (1972). On the local differentiation of gene frequencies in a geographically structured population. Theoretical Population Biology. (In preparation.)Google Scholar
Robertson, A. (1964). The effect of non-random mating within inbred lines on the rate of inbreeding. Genetical Research 5, 164167.CrossRefGoogle Scholar
Wright, S. (1931). Evolution in Mendelian populations. Genetics 16, 97159.CrossRefGoogle ScholarPubMed
Wright, S. (1951). The genetical structure of populations. Annals of Eugenics 15, 323354.CrossRefGoogle ScholarPubMed