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Genetics. May 2002; 161(1): 435–445.
PMCID: PMC1462116

Analysis of multilocus zygotic associations.

Abstract

While nonrandom associations between zygotes at different loci (zygotic associations) frequently occur in Hardy-Weinberg disequilibrium populations, statistical analysis of such associations has received little attention. In this article, we describe the joint distributions of zygotes at multiple loci, which are completely characterized by heterozygosities at individual loci and various multilocus zygotic associations. These zygotic associations are defined in the same fashion as the usual multilocus linkage (gametic) disequilibria on the basis of gametic and allelic frequencies. The estimation and test procedures are described with details being given for three loci. The sampling properties of the estimates are examined through Monte Carlo simulation. The estimates of three-locus associations are not free of bias due to the presence of two-locus associations and vice versa. The power of detecting the zygotic associations is small unless different loci are strongly associated and/or sample sizes are large (>100). The analysis of zygotic associations not only offers an effective means of packaging numerous genic disequilibria required for a complete characterization of multilocus structure, but also provides opportunities for making inference about evolutionary and demographic processes through a comparative assessment of zygotic association vs. gametic disequilibrium for the same set of loci in nonequilibrium populations.

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Selected References

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  • Thompson T. Two Brothers with Haemophilia. Proc R Soc Med. 1912;5(SECT):123–123. [PMC free article] [PubMed]
  • Barton NH. Estimating multilocus linkage disequilibria. Heredity (Edinb) 2000 Mar;84(Pt 3):373–389. [PubMed]
  • BENNETT JH. On the theory of random mating. Ann Eugen. 1954 Mar;18(4):311–317. [PubMed]
  • Brown AH. Sample sizes required to detect linkage disequilibrium between two or three loci. Theor Popul Biol. 1975 Oct;8(2):184–201. [PubMed]
  • Brown AH, Feldman MW, Nevo E. Multilocus Structure of Natural Populations of HORDEUM SPONTANEUM. Genetics. 1980 Oct;96(2):523–536. [PMC free article] [PubMed]
  • Cockerham CC, Tachida H. Linkage disequilibria in finite populations. Theor Popul Biol. 1986 Jun;29(3):293–311. [PubMed]
  • Thompson EA, Deeb S, Walker D, Motulsky AG. The detection of linkage disequilibrium between closely linked markers: RFLPs at the AI-CIII apolipoprotein genes. Am J Hum Genet. 1988 Jan;42(1):113–124. [PMC free article] [PubMed]
  • Thomson G, Baur MP. Third order linkage disequilibrium. Tissue Antigens. 1984 Oct;24(4):250–255. [PubMed]
  • Hedrick PW. Gametic disequilibrium measures: proceed with caution. Genetics. 1987 Oct;117(2):331–341. [PMC free article] [PubMed]
  • Hill WG. Tests for association of gene frequencies at several loci in random mating diploid populations. Biometrics. 1975 Dec;31(4):881–888. [PubMed]
  • Weir BS, Cockerham CC. Mixed self and random mating at two loci. Genet Res. 1973 Jun;21(3):247–262. [PubMed]
  • Lewontin RC. The Interaction of Selection and Linkage. I. General Considerations; Heterotic Models. Genetics. 1964 Jan;49(1):49–67. [PMC free article] [PubMed]
  • Yang RC. Zygotic associations and multilocus statistics in a nonequilibrium diploid population. Genetics. 2000 Jul;155(3):1449–1458. [PMC free article] [PubMed]
  • Zapata C. The D' measure of overall gametic disequilibrium between pairs of multiallelic loci. Evolution. 2000 Oct;54(5):1809–1812. [PubMed]
  • Ota T, Cockerham CC. Detrimental genes with partial selfing and effects on a neutral locus. Genet Res. 1974 Apr;23(2):191–200. [PubMed]
  • Zaykin D, Zhivotovsky L, Weir BS. Exact tests for association between alleles at arbitrary numbers of loci. Genetica. 1995;96(1-2):169–178. [PubMed]
  • Pritchard JK, Przeworski M. Linkage disequilibrium in humans: models and data. Am J Hum Genet. 2001 Jul;69(1):1–14. [PMC free article] [PubMed]
  • Reich DE, Cargill M, Bolk S, Ireland J, Sabeti PC, Richter DJ, Lavery T, Kouyoumjian R, Farhadian SF, Ward R, et al. Linkage disequilibrium in the human genome. Nature. 2001 May 10;411(6834):199–204. [PubMed]

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