Skip to main content
    • Aa
    • Aa

The transient distribution of allele frequencies under mutation pressure

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

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.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

W. J. Ewens (1972). The sampling theory of selectively neutral alleles. Theoretical Population Biology 3, 87112.

W. J. Ewens & J. H. Gillespie (1974). Some simulation results for the neutral allele model, with interpretations. Theoretical Population Biology 6, 3557.

W. J. Ewens & K. Kirby (1975). The eigenvalues of the neutral alleles process. Theoretical Population Biology 7, 212220.

S. Karlin & H. Avni (1975). Derivation of the eigenvalues of the configuration process induced by a labeled direct product branching process. Theoretical Population Biology 7, 221228.

M. Kimura (1971). Theoretical foundation of population genetics at the molecular level. Theoretical Population Biology 2, 174208.

M. Kimura & T. Ohta (1971). Protein polymorphism as a phase of molecular evolution. Nature 229, 467469.

M. Kimura & T. Ohta (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.

T. Maruyama & T. Yamazaki (1974). Analysis of heterozygosity in regard to the neutrality theory of protein polymorphism. Journal of Molecular Evolution 4, 195199.

M. Nei & M. W. Feldman (1972). Identity of genes by descent within and between populations under mutation and migration pressures. Theoretical Population Biology 3, 460465.

T. Ohta (1975). Statistical analyses of Drosophila and human protein polymorphisms. Proceedings of the National Academy of Sciences U.S.A. 72, 31943196.

T. Yamazaki & T. Maruyama (1972). Evidence for the neutral hypothesis of protein polymorphism. Science 178, 5658.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Genetics Research
  • ISSN: 0016-6723
  • EISSN: 1469-5073
  • URL: /core/journals/genetics-research
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 5 *
Loading metrics...

Abstract views

Total abstract views: 58 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 18th August 2017. This data will be updated every 24 hours.