Skip to main content
×
Home
    • Aa
    • Aa

Inbreeding coefficients and coalescence times

  • Montgomery Slatkin (a1)
Abstract
Summary

This paper describes the relationship between probabilities of identity by descent and the distribution of coalescence times. By using the relationship between coalescence times and identity probabilities, it is possible to extend existing results for inbreeding coefficients in regular systems of mating to find the distribution of coalescence times and the mean coalescence times. It is also possible to express Sewall Wright's FST as the ratio of average coalescence times of different pairs of genes. That simplifies the analysis of models of subdivided populations because the average coalescence time can be found by computing separately the time it takes for two genes to enter a single subpopulation and time it takes for two genes in the same subpopulation to coalesce. The first time depends only on the migration matrix and the second time depends only on the total number of individuals in the population. This approach is used to find FST in the finite island model and in one- and two-dimensional stepping-stone models. It is also used to find the rate of approach of FST to its equilibrium value. These results are discussed in terms of different measures of genetic distance. It is proposed that, for the purposes of describing the amount of gene flow among local populations, the effective migration rate between pairs of local populations, M^, which is the migration rate that would be estimated for those two populations if they were actually in an island model, provides a simple and useful measure of genetic similarity that can be defined for either allozyme or DNA sequence data.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

J. F. Crow & K. Aoki (1984). Group selection for a polygenic behavioral trait: estimating the degree of population subdivision. Proceedings of the National Academy of Sciences, USA81, 60736077.

W. J. Ewens (1990). Population genetics theory – the past and the future. In Mathematical and Statistical Developments of Evolutionary Theory (ed. S. Lessard ), pp. 177227. Amsterdam: Kluwer.

J. Hey (1991). A multi-dimensional coalescent process applied to multi-allelic selection models and migration models. Theoretical Population Biology 39, 3048.

T. Maruyama (1970 a). On the rate of decrease of heterozygosity in circular stepping stone models of populations. Theoretical Population Biology 1, 101119.

T. Maruyama (1970 b). Effective number of alleles in a subdivided population. Theoretical Population Biology 1, 273306.

T. Maruyama (1971). Analysis of population structure. II. Two-dimensional stepping stone models of finite length and other geographically structured populations. Annals of Human Genetics 35, 179196.

M. Nei (1972). Genetic distance between populations. American Naturalist 106, 283292.

M. Nei (1973). Analysis of gene diversity in subdivided populations. Proceedings of the National Academy of Sciences, USA70, 33213323.

M. Nei (1987). Molecular Evolutionary Genetics. New York: Columbia University Press.

M. Slatkin & N. H. Barton (1989). A comparison of three indirect methods for estimating average levels of gene flow. Evolution 43, 13491368.

S. Tavaré (1984). Line-of-descent and genealogical processes and their applications in population genetics. Theoretical Population Biology 26, 119164.

S. Wright (1922). Coefficients of inbreeding and relationship. American Naturalist 63, 556561.

S. Wright (1951). The genetical structure of populations. Annals of Eugenics 15, 323354.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Genetics Research
  • ISSN: 0016-6723
  • EISSN: 1469-5073
  • URL: /core/journals/genetics-research
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×