Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-10T16:22:04.499Z Has data issue: false hasContentIssue false
  • English
  • Français

Genetic drift with polygamy and arbitrary offspring distribution

Published online by Cambridge University Press:  14 July 2016

C. Cannings
C. Cannings*
Affiliation:
University of Sheffield
Get access Rights & Permissions [Opens in a new window]

Abstract

The rate of genetic drift at an autosomal locus for a bisexual, diploid population of fixed size is studied. The generations are non-overlapping. The model encompasses a variety of mating systems, including random monogamy, random polygamy in one sex and random mating. The rate of drift is shown for several models to depend on the expected number of parents that two randomly selected individuals have in common. The male and female offspring are assigned to families in a fairly general way, which permits the study of a model in which each family has offspring of one sex only. The equation arising in this last case is identical to one of Jacquard for a system in which sib-mating is excluded.

Keywords

GENETIC DRIFTMARRIAGEPOLYGAMYOFFSPRING DISTRIBUTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 4 , December 1974 , pp. 633 - 641
Copyright
Copyright © Applied Probability Trust 1974 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cannings, C. and Cavalli-Sforza, L. L. (1973) Human population structure, A. Review. Advances in Human Genetics. (Ed. Harris, H. and Hirschorn, K.) Plenum, New York.Google Scholar
Cannings, C. and Skolnick, M. H. (1974) Genetic drift in exogamous marriage systems. To appear.Google Scholar
Crow, J. F. and Kimura, M. (1970) An Introduction to Population Genetics Theory. Harper and Row, New York.Google Scholar
Feldman, M. W. (1966) On the offspring number distribution in a genetic population. J. Appl. Prob. 3, 129–141.Google Scholar
Hill, W. G. (1972) Effective size of populations with overlapping generations. Theoret. Pop. Biol. 3, 278–289.Google Scholar
Jaquard, A. (1971) Effect of exclusion of sib-mating on genetic drift. Theoret. Pop. Biol. 2, 91–99.Google Scholar
Karlin, S. (1968) Equilibrium behaviour of population genetics models with non-random mating. 2. Pedigrees, homozygosity and stochastic models. J. Appl. Prob. 5, 487–566.Google Scholar
Latter, B. D. H. (1959) Genetic sampling in a random mating population of constant size and sex-ratio. Austral. J. Biol. Sci. 12, 500–505.Google Scholar
Malecot, G. (1948) Les Mathématiques de L'hérédité. Masson, Paris.Google Scholar
Moran, P. A. P. and Watterson, G. A. (1959) The genetic effects of family structure in natural populations. Austral. J. Biol. Sci. 12, 1–15.Google Scholar
Wright, S. (1931) Evolution in Mendelian populations. Genetics 16, 97–159.Google Scholar
Wright, S. (1933) Inbreeding and homogzygosis. Proc. Nat. Acad. Sci. U.S.A. 19, 411–419.Google Scholar