Skip to main content
Genetics logoLink to Genetics
. 1975 Apr;79(4):681–691. doi: 10.1093/genetics/79.4.681

Polyallelic Mutational Equilibria

Jack Lester King 1,2, Tomoko Ohta 1,2
PMCID: PMC1213305  PMID: 1132686

Abstract

A new deterministic formulation is derived of the equilibrium between mutation and natural selection, which takes into account (a) the possibility of many allelic mutation states, (b) selection coefficients of the order of magnitude of the mutation rate and (c) the possibility of further mutation of already mutant alleles. The frequencies of classes of alleles 0, 1, 2, n mutant steps removed from the type allele are shown to form a Poisson distribution, with a mean and variance of the mutation rate divided by the coefficient of selection against each incremental mutational step. — This formulation is interpreted in terms of the expected frequencies of electromorphs, defined as classes of alleles characterized by common electrophoretic mobilities of their protein products. Electromorph frequencies are predicted to form stable unimodal distributions of relatively few phenotypic classes. Common electromorph frequencies found throughout the ranges of species with large population sizes are interpreted as being a uniquely electrophoretic phenomenon; band patterns on starch and acrylamide gels are phenotypes, not genotypes. It is predicted that individual electromorphs are highly heterogeneous with regard to amino acid sequence.

Full Text

The Full Text of this article is available as a PDF (688.2 KB).

Selected References

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

  1. Ayala F. J., Powell J. R., Dobzhansky T. Polymorphisms in continental and island populations of Drosophila willistoni. Proc Natl Acad Sci U S A. 1971 Oct;68(10):2480–2483. doi: 10.1073/pnas.68.10.2480. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Milkman R. Electrophoretic variation in Escherichia coli from natural sources. Science. 1973 Dec 7;182(4116):1024–1026. doi: 10.1126/science.182.4116.1024. [DOI] [PubMed] [Google Scholar]
  3. Ota T., Kimura M. On the constancy of the evolutionary rate of cistrons. J Mol Evol. 1971;1(1):18–25. doi: 10.1007/BF01659391. [DOI] [PubMed] [Google Scholar]
  4. Sved J. A., Reed T. E., Bodmer W. F. The number of balanced polymorphisms that can be maintained in a natural population. Genetics. 1967 Mar;55(3):469–481. doi: 10.1093/genetics/55.3.469. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Wills C., Nichols L. How genetic background masks single-gene heterosis in Drosophila (polymorphism-selection-isoenzymes-inbreeding-fly). Proc Natl Acad Sci U S A. 1972 Feb;69(2):323–325. doi: 10.1073/pnas.69.2.323. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Wright S. Polyallelic random drift in relation to evolution. Proc Natl Acad Sci U S A. 1966 May;55(5):1074–1081. doi: 10.1073/pnas.55.5.1074. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Genetics are provided here courtesy of Oxford University Press

RESOURCES