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The transient distribution of allele frequencies under mutation pressure

  • Masatoshi Nei (a1) and Wen-Hsiung Li (a1)
Summary
SUMMARY

The transient distribution of allele frequencies in a finite population is derived under the assumption that there are k possible alleic states at a locus and mutation occurs in all directions. At steady state this distribution becomes identical with the distribution obtained by Wright, Kimura and Crow when k = ∞. The rate of approach to the steady state distribution is generally very slow, the asymptotic rate being 2v + 1/(2N), where v and N are the mutation rate and effective population size, respectively. Using this distribution it is shown that when population size is suddenly increased, the expected number of alleles increases more rapidly than the expected heterozygosity. Implications of the present study on testing hypotheses for the maintenance of genetic variability in populations are discussed.

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Crow J. F. & Kimura M. (1956). Some genetic problems in natural populations. Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability 4, 122.
Crow J. F. & Kimura M. (1970). An Introduction to Population Genetics Theory. New York: Harper & Row.
Ewens W. J. (1964). The maintenance of alleles by mutation. Genetics 50, 891898.
Ewens W. J. (1972). The sampling theory of selectively neutral alleles. Theoretical Population Biology 3, 87112.
Ewens W. J. & Gillespie J. H. (1974). Some simulation results for the neutral allele model, with interpretations. Theoretical Population Biology 6, 3557.
Ewens W. J. & Kirby K. (1975). The eigenvalues of the neutral alleles process. Theoretical Population Biology 7, 212220.
Karlin S. & Avni H. (1975). Derivation of the eigenvalues of the configuration process induced by a labeled direct product branching process. Theoretical Population Biology 7, 221228.
Kimura M. (1968). Genetic variability maintained in a finite population due to mutational production of neutral and nearly neutral isoalleles. Genetical Research 11, 247269.
Kimura M. (1971). Theoretical foundation of population genetics at the molecular level. Theoretical Population Biology 2, 174208.
Kimura M. & Crow J. F. (1964). The number of alleles that can be maintained in a finite population. Genetics 49, 725738.
Kimura M. & Ohta T. (1971). Protein polymorphism as a phase of molecular evolution. Nature 229, 467469.
Kimura M. & Ohta T. (1975). Distribution of allelic frequencies in a finite population under stepwise production of neutral alleles. Proceedings of the National Academy of Sciences U.S.A. 72, 27612764.
Latter B. D. H. (1975). Enzyme polymorphisms: gene frequency distributions with mutation and selection for optimal activity. Genetics 79, 325331.
Li W.-H. & Nei M. (1975). Drift variances of heterozygosity and genetic distance in transient states. Genetical Research 25, 229247.
Malécot G. (1948). Les Mathématiques de l'hérédité. Paris: Masson et Cie.
Maruyama T. & Yamazaki T. (1974). Analysis of heterozygosity in regard to the neutrality theory of protein polymorphism. Journal of Molecular Evolution 4, 195199.
Nei M. (1975). Molecular Population Genetics and Evolution. Amsterdam and New York: North Holland.
Nei M. (1976). Comments on B. D. H. Latter's paper. In Population Genetics and Ecology (ed. Karlin S. and Nevo E.), p. 408. New York: Academic Press.
Nei M. & Feldman M. W. (1972). Identity of genes by descent within and between populations under mutation and migration pressures. Theoretical Population Biology 3, 460465.
Nei M. & Li W.-H. (1975). Probability of identical monomorphism in related species. Genetical Research 26, 3143.
Ohta T. (1975). Statistical analyses of Drosophila and human protein polymorphisms. Proceedings of the National Academy of Sciences U.S.A. 72, 31943196.
Wright S. (1949). Genetics of populations. Encyclopedia Britannica 10, 111, 111A–D, 112.
Yamazaki T. & Maruyama T. (1972). Evidence for the neutral hypothesis of protein polymorphism. Science 178, 5658.
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Genetics Research
  • ISSN: 0016-6723
  • EISSN: 1469-5073
  • URL: /core/journals/genetics-research
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