Abstract
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.
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Selected References
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- Avery P. J., Hill W. G. Variance in quantitative traits due to linked dominant genes and variance in heterozygosity in small populations. Genetics. 1979 Apr;91(4):817–844. doi: 10.1093/genetics/91.4.817. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Cockerham C. C., Weir B. S. Descent measures for two loci with some applications. Theor Popul Biol. 1973 Sep;4(3):300–330. doi: 10.1016/0040-5809(73)90013-0. [DOI] [PubMed] [Google Scholar]
- Hill W. G. Correlation of gene frequencies between neutral linked genes in finite populations. Theor Popul Biol. 1977 Apr;11(2):239–248. doi: 10.1016/0040-5809(77)90026-0. [DOI] [PubMed] [Google Scholar]
- Laurie-Ahlberg C. C., Weir B. S. Allozymic Variation and Linkage Disequilibrium in Some Laboratory Populations of DROSOPHILA MELANOGASTER. Genetics. 1979 Aug;92(4):1295–1314. doi: 10.1093/genetics/92.4.1295. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ohta T., Kimura M. Linkage disequilibrium at steady state determined by random genetic drift and recurrent mutation. Genetics. 1969 Sep;63(1):229–238. doi: 10.1093/genetics/63.1.229. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sved J. A., Feldman M. W. Correlation and probability methods for one and two loci. Theor Popul Biol. 1973 Mar;4(1):129–132. doi: 10.1016/0040-5809(73)90008-7. [DOI] [PubMed] [Google Scholar]
- Weir B. S., Cockerham C. C. Group inbreeding with two linked loci. Genetics. 1969 Nov;63(3):711–742. doi: 10.1093/genetics/63.3.711. [DOI] [PMC free article] [PubMed] [Google Scholar]