Skip to main content
Genetics logoLink to Genetics
. 1977 Dec;87(4):807–819. doi: 10.1093/genetics/87.4.807

Properties of Equilibria in Multi-Locus Genetic Systems

Warren J Ewens 1,2, Glenys Thomson 1,2
PMCID: PMC1213778  PMID: 604166

Abstract

The classical mathematical theory of population genetics considered, for simplicity, almost exclusively one-locus systems. In the last two decades much work has been done on two-locus and, less frequently, multi-locus systems. This research has usually involved investigating properties of systems with given, and usually rather special, fitness parameters. Real genetic fitness systems are undoubtedly multi-locus and seldom will possess simplifying characteristics. One aim of this paper is to study generalized systems where no special assumptions are made about fitness structure, the number of alleles at each locus, the number of loci involved or the recombination structure between loci. A second aim is to consider marginal properties (often one-locus properties) of complex systems: the fact that many observations involve data from only one locus makes this second aim relevant.

Full Text

The Full Text of this article is available as a PDF (794.0 KB).

Selected References

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

  1. Christiansen F. B., Frydenberg O., Gyldenholm A. O., Simonsen V. Genetics of Zoarces populations. VI. Further evidence, based on age group samples, of a heterozygote deficit in the EstIII polymorphism. Hereditas. 1974;77(2):225–236. [PubMed] [Google Scholar]
  2. Ewens W. J. Remarks on the evolutionary effect of natural selection. Genetics. 1976 Jul;83(3 PT2):601–607. [PMC free article] [PubMed] [Google Scholar]
  3. Fisher W. J. THE BALANCE, THE STEELYARD AND THE CONCEPT OF FORCE. Science. 1918 Nov 1;48(1244):427–433. doi: 10.1126/science.48.1244.427. [DOI] [PubMed] [Google Scholar]
  4. Karlin S., Carmelli D. Numerical studies on two-loci selection models with general viabilities. Theor Popul Biol. 1975 Jun;7(3):399–421. doi: 10.1016/0040-5809(75)90026-x. [DOI] [PubMed] [Google Scholar]
  5. Karlin S. General two-locus selection models: some objectives, results and interpretations. Theor Popul Biol. 1975 Jun;7(3):364–398. doi: 10.1016/0040-5809(75)90025-8. [DOI] [PubMed] [Google Scholar]
  6. Kimura M. Attainment of Quasi Linkage Equilibrium When Gene Frequencies Are Changing by Natural Selection. Genetics. 1965 Nov;52(5):875–890. doi: 10.1093/genetics/52.5.875. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. MORAN P. A. ON THE NONEXISTENCE OF ADAPTIVE TOPOGRAPHIES. Ann Hum Genet. 1964 Jun;27:383–393. doi: 10.1111/j.1469-1809.1963.tb01535.x. [DOI] [PubMed] [Google Scholar]
  8. Nagylaki T. The evolution of one- and two-locus systems. Genetics. 1976 Jul;83(3 PT2):583–600. [PMC free article] [PubMed] [Google Scholar]

Articles from Genetics are provided here courtesy of Oxford University Press

RESOURCES