Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-26T13:12:27.387Z Has data issue: false hasContentIssue false

The effect of migration and recombination on the equilibrium structure of populations subject to a common symmetric selection regime

Published online by Cambridge University Press:  14 April 2009

R. B. Campbell
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A.
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 effect of migration and recombination on the equilibrium structure of populations subject to a common symmetric selection regime in all habitats is studied. Attention is restricted to a class of symmetric polymorphic equilibria which have been studied in two-deme systems by Bazykin (1972) and Karlin & McGregor (1972) for one locus and by Christiansen & Feldman (1975) for two loci. With increased migration and recombination the heterozygosity increases unless it is already at the maximum level. Although the populaton system as a whole is always at linkage equilibrium, the magnitude of linkage disequilibrium in the individual demes may either increase or decrease with more migration and recombination. In general, the less the migration and the less the recombination between interacting loci, the greater the possibilities of polymorphic equilibria.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1980

References

REFERENCES

Bazykin, A. D. (1972). The disadvantage of heterozygotes in a system of two adjacent populations. Genetika 8 (11), 162167. (In Russian with English summary.)Google Scholar
Bennett, J. H. (1954). On the theory of random mating. Annals of Eugenics 184, 301317.Google Scholar
Christiansen, F. B. & Feldman, M. W. (1975). Subdivided populations: A review of the one- and two-locus deterministic theory. Theoretical Population Biology 7, 1338.CrossRefGoogle ScholarPubMed
Deakin, M. A. B. (1966). Sufficient conditions for genetic polymorphism. American Naturalist 100, 690692.Google Scholar
Feldman, M. W. & Christiansen, F. B. (1975). ‘The effect of population subdivision on two loci without selection. Genetical Research 24, 151162.CrossRefGoogle Scholar
Haldane, J. B. S. (1948). The theory of a cline. Journal of Genetics 58, 237242.CrossRefGoogle Scholar
Hill, W. G. (1976). Non-random association of neutral linked genes in finite populations. In Population Genetics and Ecology (ed. Karlin, S. and Nevo, E.), pp. 339376. New York: Academic Press.Google Scholar
Karlin, S. (1978). Theoretical aspects of multilocus selection balance, I. In Studies in Mathematics and Biology (ed. Levin, S.), pp. 503587. Washington, D.C.: Mathematical Assoc. of Amer.Google Scholar
Karlin, S. (1979). Principles of polymorphism and epistasis for multilocus systems. Proceedings of the National Academy of Science (U.S.A.) 76, 541545.CrossRefGoogle ScholarPubMed
Karlin, S. & Avni, H. (1980). Analysis of central equilibria in multilocus systems: A generalized symmetric viability regime. (In preparation.)Google Scholar
Karlin, S. & Campbell, R. B. (1978). Analysis of central equilibrium configurations for certain multilocus systems in subdivided populations. Genetical Research 32, 151169.CrossRefGoogle Scholar
Karlin, S. & Liberman, U. (1976). A phenotypic symmetric model for three loci, two alleles: The case of tight linkage. Theoretical Population Biology 10, 334364.CrossRefGoogle ScholarPubMed
Karlin, S. & Liberman, U. (1978). Classifications and comparisons of multi-locus recombination distributions. Proceedings of the National Academy of Science (U.S.A.) 75, 63326336.CrossRefGoogle Scholar
Karlin, S. & McGregor, J. L. (1972). Application of method of small parameters to multiniche population genetic models. Theoretical Population Biology 3, 186209.CrossRefGoogle ScholarPubMed
Karlin, S. & Richter-Dyn, N. (1976). Some theoretical analyses of migration selection interaction in a cline: a generalized two range environment. In Population Genetics and Ecology (ed. Karlin, S. and Neve, E.), pp. 659706. New York: Academic Press.Google Scholar
Lewontin, R. C. & Kojima, K. (1960). The evolutionary dynamics of complex polymorphisms. Evolution 14, 458472.Google Scholar
Nei, M. & Li, W.-H. (1973). Linkage disequilibrium in subdivided populations. Genetics 75, 213219.CrossRefGoogle ScholarPubMed
Prout, T. (1973). Appendix to: Population genetics of marine pelecypods. III. Epistasis between functionally related isoenzymes in Ulytius edulis. By J. B. Mitten and R. C. Koehn. Genetics 73, 487496.Google Scholar
Robbins, R. B. (1918). Some applications of mathematics to breeding problems, II. Genetics 3, 92.Google Scholar
Sinnock, P. & Singh, C. F. (1972). Analysis of multilocus genetic systems in Tecumseh Michigan. II. Consideration of the correlation between non-alleles in gametes. American Journal of Human Genetics 24, 393415.Google Scholar