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The maintenance of the genetic variability of polygenic characters by heterozygous advantage

  • M. G. Bulmer (a1)

Summary

The results of a previous paper on the effect of optimizing selection, mutation and drift on a metric character determined by a large number of loci have been extended to include the possibility that, in addition to selection for an optimal value, there may be independent selection in favour of heterozygotes; it is assumed for simplicity that at each locus the heterozygote has the same advantage, s, over each of the homozygotes. Under selection alone there is a stable equilibrium if s > ca2, where c is a measure of the intensity of the optimizing selection and a is the effect of a gene substitution. Under the additional forces exerted by mutation and by drift due to finite population size each locus behaves independently of the other loci as if it had a heterozygous advantage equal to (sca2).

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Copyright

References

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Bulmer, M. G. (1971). The stability of equilibria under selection. Heredity 27, 157162.
Bulmer, M. G. (1972). The genetic variability of polygenic characters under optimizing selection, mutation and drift. Genetical Research 19, 1725.
Bulmer, M. G. (1973). The maintenance of heterozygosity under the diffusion model. (In preparation.)
Kimura, M. (1964). Diffusion models in population genetics. Journal of Applied Probability 1, 177232.
Latter, B. D. H. (1970). Selection in finite populations with multiple alleles. II. Centripetal selection, mutation, and isoallelic variation. Genetics 66, 165186.
Robertson, A. (1962). Selection for heterozygotes in small populations. Genetics 47, 12911300.
Wright, S. (1937). The distribution of gene frequencies in populations. Proceedings of the National Academy of Sciences, U.S.A. 23, 307320.

The maintenance of the genetic variability of polygenic characters by heterozygous advantage

  • M. G. Bulmer (a1)

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