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Selection of new inversions in multi-locus genetic systems

Published online by Cambridge University Press:  14 April 2009

Brian Charlesworth  and
Deborah Charlesworth
Brian Charlesworth
Affiliation:
Department of Genetics, University of Liverpool, Liverpool, L69 3BX
Deborah Charlesworth
Affiliation:
Department of Genetics, University of Liverpool, Liverpool, L69 3BX

Summary

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An approximate expression, is derived for the rate of change in frequency of an inversion introduced at a low initial frequency into a multi-locus system at equilibrium under recombination and selection. It is shown that this expression gives accurate predictions of the rate of progress of the inversion, even if the initial population is perturbed somewhat from equilibrium. Extensions to the cases where there are sex differences in recombination and selection are considered. An implication of the results is that selection pressure for newly arisen inversions depends on the existence of a stable equilibrium with linkage disequilibrium. The expected chance of survival of a new inversion in a large population is shown to be approximately one half the square root of the loss in fitness due to recombination.

Type
Research Article
Information
Genetics Research , Volume 21 , Issue 2 , April 1973 , pp. 167 - 183
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
Deakin, M. A. B. (1972). A model for inversion polymorphism. Journal of Theoretical Biology 35, 191–212.CrossRefGoogle Scholar
Dobzhausky, T. (1951). Genetics and the Origin of Species. New York: Columbia University Press.Google Scholar
Dobzhansky, T. (1970). The Genetics of the Evolutionary Process. New York: Columbia University Press.Google Scholar
Feldman, M. W. (1972). Selection for linkage modification: 1. Random mating populations. Theoretical Population Biology 3, 324–346.CrossRefGoogle Scholar
Fisher, R. A. (1930). The Genetical Theory of Natural Selection. Oxford: Clarendon Press.CrossRefGoogle Scholar
Fraser, A. S. & Burnell, D. (1967). Simulation of genetic systems. XI. Inversion polymorphism. American Journal of Human Genetics 19, 270–286.Google ScholarPubMed
Geirnger, H. (1948). On the mathematics of random mating in case of different recombination values for males and females. Genetics 33, 548–554.CrossRefGoogle Scholar
Haldane, J. B. S. (1957). The conditions for co-adaptation in polymorphism for inversions. Journal of Genetics 55, 218–225.CrossRefGoogle Scholar
Kimura, M. (1956). A model of a system which leads to closer linkage by natural selection. Evolution 9, 419–435.CrossRefGoogle Scholar
Kojima, K. (1967). Likelihood of establishing newly induced inversion chromosomes in small populations. Ciencia e Cultura 19, 67–77.Google Scholar
Kojima, K. & Kelleher, T. M. (1961). Changes of mean fitness in random mating populations when epistasis and linkage are present. Genetics 46, 527–540.CrossRefGoogle ScholarPubMed
Kojima, K. & Klekar, A. (1969). Deterministic simulation of evolutionary changes in three-locus genetic systems. In Computer Applications in Genetics, ed. Morton, N. E., pp. 147–160. Honolulu: University of Hawaii Press.Google Scholar
Lewontin, R. C. (1964). The interaction of selection and linkage. I. General considerations; heterotic models. Genetics 49, 49–67.CrossRefGoogle ScholarPubMed
Lewontin, R. C. (1971). The effect of genetic linkage on the mean fitness of a population. Proceedings of the National Academy of Sciences, U.S.A. 68, 984–986.CrossRefGoogle ScholarPubMed
Lewontin, R. C. & Kojima, K. (1960). The evolutionary dynamics of complex polymorphisms. Evolution 14, 458–472.Google Scholar
Nei, M. (1967). Modification of linkage intensity by natural selection. Genetics 57, 625–641.CrossRefGoogle ScholarPubMed
Nei, M., Kojima, K. & Schaffer, H. (1967). Frequency changes of new inversions in populations under mutation-selection equilibria. Genetics 57, 741–750.Google Scholar
Ohta, T. (1971). Associative overdominance caused by linked detrimental mutations. Genetical Research 18, 227–286.Google Scholar
Sperlich, D. (1959). Experimentelle Beiträge zum Problem des positiven Heterosis-effekts bei der struktur-polymorphen Art Drosophila subobscura. Zeitschrift für Vererbungslehre 90, 273–287.Google Scholar
Sturtevant, A. H. & Mather, K. (1938). The interrelations of inversions, heterosis and recombination. American Naturalist 72, 447–452.CrossRefGoogle Scholar
Turner, J. R. G. (1970). Some properties of two locus systems with epistatic selection. Genetics 64, 147–155.CrossRefGoogle ScholarPubMed