Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-08T08:23:27.319Z Has data issue: false hasContentIssue false
  • English
  • Français

The three locus model with multiplicative fitness values

Published online by Cambridge University Press:  14 April 2009

Curtis Strobeck
Curtis Strobeck
Affiliation:
School of Biology, University of Sussex, Sussex, England
Rights & Permissions [Opens in a new window]

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.

The necessary and sufficient conditions for the stability of the equilibrium point with no linkage disequilibrium are obtained for the three locus model with multiplicative fitnesses. It is shown that there are six inequalities that must be satisfied in order for this equilibrium to be stable. Three of the inequalities require that there be heterozygotic superiority at all loci. The other three are exactly those inequalities which are required for each pair of loci to be stable with linkage equilibrium if they are considered to be an isolated two locus system. Thus, all the information needed to determine the stability of this equilibrium with three loci is contained in one and two locus theory.

Type
Research Article
Information
Genetics Research , Volume 22 , Issue 2 , October 1973 , pp. 195 - 200
Copyright
Copyright © Cambridge University Press 1973

References

REFERENCES

Bodmer, W. F. & Felsenstein, J. (1967). Linkage and selection: Theoretical analysis of the deterministic two locus random mating model. Genetics 57, 237–265.CrossRefGoogle ScholarPubMed
Bodmer, W. F. & Parsons, P. A. (1962). Linkage and recombination in evolution. Advances in Genetics 11, 1–100.CrossRefGoogle Scholar
Franklin, I. & Lewontin, R. C. (1970). Is the gene the unit of selection? Genetics 65, 707–734.CrossRefGoogle ScholarPubMed
Karlin, S. & Feldman, M. W. (1970). Linkage and selection: Two locus symmetric viability model. Theoretical Population Biology 1, 39–71.CrossRefGoogle ScholarPubMed
Lewontin, R. C. (1964). The interaction of selection and linkage. I. General considerations and heterotic models. Genetics 49, 49–67.CrossRefGoogle ScholarPubMed
Lewontin, R. C. & Kojima, K. (1960). The evolutionary dynamics of complex polymorphisms. Evolution 14, 458–472.Google Scholar
Slatkin, M. (1972). On treating the chromosome as the unit of selection. Genetics 72, 157–168.CrossRefGoogle ScholarPubMed