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A mathematical problem in population genetics

Published online by Cambridge University Press:  24 October 2008

J. F. C. Kingman
J. F. C. Kingman
Affiliation:
Pembroke CollegeCambridge
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Extract

A genetical population in which different genotypes have different viabilities will undergo, by selection, changes in its genetical constitution which can be expressed in a simple mathematical form. We here consider a system of m alleles A1, A2, …, Am segregating at one locus, and we assume that the genotype AiAj has viability aij, where aij = aji ≥ 0. We assume discrete, non-overlapping generations and random mating.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 574 - 582
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Mandel, S. P. H.The stability of a multiple allelic system Heredity, 13 (1959), 289–302.Google Scholar
(2)Scheuer, P. A. G. and Mandel, S. P. H.An inequality in population genetics Heredity, 13 (1959), 519–24.CrossRefGoogle Scholar
(3)Mulholland, H. P. and Smith, C. A. B.An inequality arising in genetical theory Amer. Math. Mon. 66 (1959), 673–83.Google Scholar