Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-02T22:26:51.861Z Has data issue: false hasContentIssue false
  • English
  • Français

Linkage disequilibrium and genetic variability

Published online by Cambridge University Press:  14 April 2009

M. G. Bulmer
M. G. Bulmer
Affiliation:
Department of Biomathematics, University of Oxford

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It has been shown previously that, even in the absence of linkage, selection can cause an appreciable change in the genetic variance of a metric character due to disequilibrium; this change is temporary and is rapidly reversed when selection ceases. This result is here extended to allow for the effect of linkage, and it is shown that the change in the variance is effectively determined by the harmonic mean of the recombination fractions. The validity of the approximate general formula derived here has been checked by comparison with exact results obtained from models with five or six loci. In order to determine the likely value of the harmonic mean recombination fraction, a simple model was constructed in which it was assumed that loci are distributed at random along the chromosome maps. Results of computer simulations of this model are reported for different chromosome numbers and numbers of loci.

Type
Research Article
Information
Genetics Research , Volume 23 , Issue 3 , June 1974 , pp. 281 - 289
Copyright
Copyright © Cambridge University Press 1974

References

REFERENCES

Bailey, N. T. J. (1961). Introduction to the Mathematical Theory of Genetic Linkage. Oxford: Clarendon Press.Google Scholar
Bulmer, M. G. (1971). The effect of selection on genetic variability. American Naturalist 105, 201–211.CrossRefGoogle Scholar
Lewontin, R. C. (1964). The interaction of selection and linkage. II. Optimum models. Genetics 50, 757–782.CrossRefGoogle ScholarPubMed
O'donald, P. (1972). Natural selection for a quantitative character over several generations. Nature 237, 113–114.CrossRefGoogle ScholarPubMed