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Typical polymorphisms maintained by selection at a single locus

Published online by Cambridge University Press:  14 July 2016

J. F. C. Kingman
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Abstract

It is known that several different alleles can be maintained at a locus by selection, but only when the various genotypic fitnesses satisfy very special conditions. It is shown in this paper that a population with many possible mutations will evolve in such a way that these conditions arise naturally for most fitness regimes. The first steps are taken towards the assessment of the likely size and shape of the resulting stable polymorphisms.

Keywords

MUTATIONFITNESS
Type
Part 3 - Stochastic Models in Biology and Field Trials
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 113 - 125
Copyright
Copyright © Applied Probability Trust 1988 

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References

Hammersley, J. M. (1972) A few seedlings of research. Proc. 6th Berkeley Symp. Math. Statist. Prob. 1.CrossRefGoogle Scholar
Karlin, S. (1978) Theoretical aspects of multilocus selection balance I. Mathematical Biology, Part II: Populations and Communities. MAA Studies in Mathematics, Washington, DC.Google Scholar
Kendall, D. G. (1967) On finite and infinite sequences of exchangeable events. Studia Sci. Math. Hungar. 2, 319–327.Google Scholar
Kingman, J. F. C. (1961) A mathematical problem in population genetics. Proc. Camb. Phil. Soc. 57, 574–582.CrossRefGoogle Scholar
Kingman, J. F. C. (1980) Mathematics of Genetic Diversity. Society for Industrial and Applied Mathematics, Philadelphia.Google Scholar
Mandel, S. P. H. and Scheuer, P. A. G. (1959) An inequality in population genetics. Heredity 13, 519–524.Google Scholar
Veržik, A. M. and Kerov, S. V. (1977) Asymptotics of the Plancherel measure of the symmetric group and the limiting form of Young tables. Soviet Math. Dokl. 18, 527–531.Google Scholar