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EFFECT OF MATING STRUCTURE ON VARIATION IN LINKAGE DISEQUILIBRIUM
B. S. Weir 1 and W. G. Hill 1
1 Department of Statistics, North Carolina State University, P. O. Box 5457, Raleigh, North Carolina 27650
Measurement of linkage disequilibrium involves two sampling processes. First, there is the sampling of gametes in the population to form successive generations, and this generates disequilibrium dependent on the effective population size (Ne) and the mating structure. Second, there is sampling of a finite number (n) of individuals to estimate the population disequilibrium.——Two-locus descent measures are used to describe the mating system and are transformed to disequilibrium moments at the final sampling. Approximate eigenvectors for the transition matrix of descent measures are used to obtain formulae for the variance of the observed disequilibria as a function of Ne, mating structure, n, and linkage or recombination parameter.——The variance of disequilibrium is the same for monoecious populations with or without random selfing and for dioecious populations with random pairing for each progeny. With monogamy, the variance is slightly higher, the proportional difference being greater for unlinked loci.
Submitted on July 2, 1979Revised on February 22, 1980
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