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Linkage disequilibria in finite populations.

Authors
  • Cockerham, C C
  • Tachida, H
Type
Published Article
Journal
Theoretical population biology
Publication Date
Jun 01, 1986
Volume
29
Issue
3
Pages
293–311
Identifiers
PMID: 3738835
Source
Medline
License
Unknown

Abstract

Four-locus recombination frequencies are summarized into two-locus pair frequencies and three-locus frequencies, and further, into two-locus frequencies such that higher-order frequencies are linear functions of lower-order frequencies. Frequencies of gene combinations are defined according to their position on the same or distinct gametes, and linear functions of these provide the measures of linkage disequilibria. These concepts are utilized to derive the transitional behavior of the gene combinations frequencies and the linkage disequilibria in a finite monoecious population with random union of gametes for up to four loci. The transitions of lower-order disequilibria in a higher-order (more loci) setting involve the higher-order disequilibria which must be taken into account in arriving at the final (fixation) frequencies. The methods allow different initial conditions. Since corresponding data functions of the gene combination frequencies provide unbiased estimates of the parameters, estimators follow naturally.

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