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Digenic descent measures for finite populations*

  • C. Clark Cockerham (a1) and B. S. Weir (a1)
  • DOI:
  • Published online: 01 April 2009

The development of a set of two-locus descent measures is reviewed. The three digenic measures, inbreeding coefficient and parental and recombinant descent coefficients, are considered in detail. The derivations of these three in pedigrees, fixed mating systems, and random mating in monoecious or dioecious populations are given. General expressions for digenic frequencies and disequilibria functions at any time are found by applying the three digenic descent measures to two types of initial populations. The final or equilibrium status of the population is also given. As the inbreeding coefficient is the same as the recombinant descent coefficient in the case of complete linkage, avoidance or promotion of early inbreeding has similar effects on the two coefficients. Estimable components of linkage disequilibrium and other measures of association within and among populations are elaborated.

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C. Clark Cockerham (1969). Variance of gene frequencies. Evolution 23, 7284.

C. Clark Cockerham (1970). Avoidance and rate of inbreeding. In Mathematical Topics in Population Genetics (ed. K. Kojima ), pp. 104127. New York: Springer-Verlag.

C. Clark Cockerham & B. S. Weir (1973). Descent measures for two loci with some applications. Theoretical Population Biology 4, 300330.

J. B. S. Haldane (1949). The association of characters as a result of inbreeding and linkage. Annals of Eugenics 15, 1523.

W. G. Hill (1974). Estimation of linkage disequilibrium in randomly mating populations. Heredity 33, 229239.

M. Kimura (1963). A probability method for treating inbreeding systems, especially with linked genes. Biometrics 19, 117.

M. Shikata (1965). A generalization of the inbreeding coefficient. Biometrics 21, 665681.

B. S. Weir & C. Clark Cockerham (1974). Behavior of pairs of loci in finite monoecious populations. Theoretical Population Biology 6, 323354.

S. Wright (1922). Coefficients of inbreeding and relationship. American Naturalist 56, 330338.

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

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Genetics Research
  • ISSN: 0016-6723
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