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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1977 Jun;74(6):2509–2513. doi: 10.1073/pnas.74.6.2509

Maintenance of genetic variability under mutation and selection pressures in a finite population.

W H Li
PMCID: PMC432202  PMID: 267944

Abstract

Formulas are developed for the distribution of allele frequencies and the mean and variance of heterozygosity under mutation and selection pressures. In large populations, even slight selection drastically changes the shape of the distribution of allele frequencies and reduces heterozygosity. On the other hand, the number of rare alleles in a sample is much less affected by selection. Under genic selection, heterozygosity may decrease with increasing population size. As a test statistic, the variance of heterozygosity can be used to detect the presence of selection, though it is not efficient when selection is very slight.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Ewens W. J. The sampling theory of selectively neutral alleles. Theor Popul Biol. 1972 Mar;3(1):87–112. doi: 10.1016/0040-5809(72)90035-4. [DOI] [PubMed] [Google Scholar]
  2. KIMURA M., CROW J. F. THE NUMBER OF ALLELES THAT CAN BE MAINTAINED IN A FINITE POPULATION. Genetics. 1964 Apr;49:725–738. doi: 10.1093/genetics/49.4.725. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Li W. H., Nei M. Drift variances of heterozygosity and genetic distance in transient states. Genet Res. 1975 Jun;25(3):229–248. doi: 10.1017/s0016672300015664. [DOI] [PubMed] [Google Scholar]
  4. Ohta T. Role of very slightly deleterious mutations in molecular evolution and polymorphism. Theor Popul Biol. 1976 Dec;10(3):254–275. doi: 10.1016/0040-5809(76)90019-8. [DOI] [PubMed] [Google Scholar]
  5. Stewart F. M. Variability in the amount of heterozygosity maintained by neutral mutations. Theor Popul Biol. 1976 Apr;9(2):188–201. doi: 10.1016/0040-5809(76)90044-7. [DOI] [PubMed] [Google Scholar]

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