Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-24T17:01:15.179Z Has data issue: false hasContentIssue false
  • English
  • Français

The equivalence of some overlapping and non-overlapping generation models for the study of genetic drift

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 paper discusses models for genetic drift in haploid models; non-overlapping models following Wright, and overlapping models following Moran. It is shown that these models, and their extensions by Chia and Watterson, can all be restated as non-overlapping models. This equivalence between the two sets of models greatly facilitates the specification of latent roots and vectors.

Keywords

GENETIC DRIFTHAPLOID
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 2 , June 1973 , pp. 432 - 436
Copyright
Copyright © Applied Probability Trust 1973 

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

Chia, A. B. and Watterson, G. A. (1969) Demographic effects on the the rate of genetic evolution. I. Constant size populations with two genotypes. J. Appl. Prob. 6, 231–249.CrossRefGoogle Scholar
Gani, J. (1961) On the stochastic matrix in a genetic model of Moran. Biometrika 48, 203–206.CrossRefGoogle Scholar
Karlin, S. and Mcgregor, J. (1965) Direct Product Branching Processes and Related Induced Markoff Chains. I. Calculations of Rates of Approach to Homozygosity. Bernoulli, Bayes, Laplace Anniversary Volume, Springer-Verlag, Berlin.CrossRefGoogle Scholar
Moran, P. A. P. (1958) Random processes in genetics. Proc. Camb. Phil. Soc. 54, 60–71.CrossRefGoogle Scholar
Moran, P. A. P. (1962) The Statistical Processes of Evolutionary Theory. Oxford University Press.Google Scholar
Moran, P. A. P. and Watterson, G. A. (1959) The genetic effect of family structure in natural populations. Aust. J. Biol. Sciences 12, 1–15.CrossRefGoogle Scholar
Wright, S. (1931) Evolution in Mendelian populations. Genetics 16, 97–159.CrossRefGoogle ScholarPubMed