Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-27T13:05:54.911Z Has data issue: false hasContentIssue false
  • English
  • Français

The Wright–Fisher model with varying selection

Published online by Cambridge University Press:  14 July 2016

N. C. Weber
N. C. Weber*
Affiliation:
University of Sydney
*
∗Postal address: Department of Mathematical Statistics, University of Sydney, NSW 2006, Australia.
Get access Rights & Permissions [Opens in a new window]

Abstract

The Wright–Fisher model with varying population size is examined in the case where the selective advantage varies from generation to generation. Models are considered where the selective advantage is not always in favour of a particular genotype. Sufficient conditions in terms of the selection coefficients and the population growth are given to ensure ultimate homozygosity.

Keywords

FIXATIONMARTINGALE METHODS
Type
Short Communications
Information
Journal of Applied Probability , Volume 23 , Issue 2 , June 1986 , pp. 504 - 508
Copyright
Copyright © Applied Probability Trust 1986 

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.)

Footnotes

Research partly carried out while the author was visiting the University of Michigan, Ann Arbor.

References

Daley, D. J., Hall, P. and Heyde, C. C. (1982) Further results on the survival of a gene represented in a founder population. J. Math. Biol. 14, 355–363.Google Scholar
Donnelly, P. J. and Weber, N. C. (1985) The Wright–Fisher model with temporally varying selection and population size. J. Math. Biol. 22, 21–29.Google Scholar
Heyde, C. C. (1977) The effect of selection on genetic balance when the population size is varying. Theoret. Popn Biol. 11, 249–251.Google Scholar
Heyde, C. C. (1983) An alternative approach to asymptotic results on genetic composition when the population size is varying. J. Math. Biol. 18, 163–168.CrossRefGoogle ScholarPubMed
Heyde, C. C. and Seneta, E. (1975) The genetic balance between random sampling and random population size. J. Math. Biol. 1, 317–320.Google Scholar
Knopp, K. (1947) Theory and Application of Infinite Series. Hafner, New York.Google Scholar
Seneta, E. (1974) A note on the balance between random sampling and population size. Genetics 77, 607–610.Google Scholar