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Bayesian analysis of linkage between genetic markers and quantitative trait loci. II. Combining prior knowledge with experimental evidence

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Summary

A Bayesian method was developed for identifying genetic markers linked to quantitative trait loci (QTL) by analyzing data from daughter or granddaughter designs and single markers or marker pairs. Traditional methods may yield unrealistic results because linkage tests depend on number of markers and QTL gene effects associated with selected markers are overestimated. The Bayesian or posterior probability of linkage combines information from a daughter or granddaughter design with the prior probability of linkage between a marker locus and a QTL. If the posterior probability exceeds a certain quantity, linkage is declared. Upon linkage acceptance, Bayesian estimates of marker-QTL recombination rate and QTL gene effects and frequencies are obtained. The Bayesian estimates of QTL gene effects account for different amounts of information by shrinking information from data toward the mean or mode of a prior exponential distribution of gene effects. Computation of the Bayesian analysis is feasible. Exact results are given for biallelic QTL, and extensions to multiallelic QTL are suggested.

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References

  • Berger JO (1985) Statistical decision theory and Bayesian analysis. Springer Berlin Heidelberg New York

    Google Scholar 

  • Cowan CM, Dentine MR, Ax RL, Schuler LA (1990) Structural variation around prolactin gene linked to quantitative traits in an elite Holstein sire family. Theor Appl Genet 79:577–582

    Google Scholar 

  • Dentine MR, Cowan CM (1990) An analytical model for the estimation of chromosome substitution effects in the offspring of individuals heterozygous at a segregating marker locus. Theor Appl Genet 79:775–780

    Google Scholar 

  • Fernando RL, Grossman M (1989) Marker-assisted selection using best linear unbiased prediction. Genet Sel Evol 21:467–477

    Google Scholar 

  • Georges M, Gunarwardana A, Threadgill DW, Lathrop M, Olsaker I, Mishra A, Sargeant LL, Schoeberlein A, Steele MR, Terry C, Threadgill DS, Zhao X, Holm T, Fries R, Womack JE (1991) Characterization of a set of variable number of tandem repeat markers conserved in bovidae. Genomics 11:24–32

    Google Scholar 

  • Goddard ME (1992) A mixed model for analyses of data on multiple genetic markers. Theor Appl Genet 83:878–886

    Google Scholar 

  • Hoeschele I, Meinert TR (1990) Association of genetic defects with yield and type traits: The Weaver locus has a major effect on yield. J Dairy Sci 73:2503–2515

    Google Scholar 

  • Hoeschele I, VanRaden PM (1993) Bayesian analysis of linkage between genetic markers and quantitative trait loci: I. Prior knowledge. Theor Appl Genet (in press)

  • IMSL user's manual (1987) Math/library, Fortran subroutines for mathematical applications, version 1.0

  • MacLean CJ, Morton NE, Yee S (1984) Combined analysis of genetic segregation and linkage under an oligogenic model. Comp Biomet Res 17:471–480

    Google Scholar 

  • Neumann PE (1991) Three-locus linkage analysis using recombinant inbred strains and Bayes' theorem. Genetics 128:631–638

    Google Scholar 

  • Paterson AH, Damon S, Hewitt JD, Zamir D, Rabinowitch HD, Lincoln SE, Lander ES, Tanksley SD (1991) Mendelian factors underlying quantitative traits in tomato: Comparison across species, generations, and environments. Genetics 127:181–197

    Google Scholar 

  • Steele MR, Georges M (1991) Generation of bovine multisite haplotypes using random cosmid clones. Genomics 10:889–904

    Google Scholar 

  • Weller JI (1990) Experimental designs for mapping quantitative trait loci in segregating populations. In: Hill WG, Thompson R, Woolliams JA (eds) Joyce Darling, Midlothian, Scotland, Proc 4th World Congr Genet Appl Livst Prod, vol XIII. Edinburgh, pp 113–116

  • Weller JI, Kashi Y, Soller M (1990) Power of daughter and granddaughter designs for genetic mapping of quantitative traits in dairy cattle using genetic markers. J Dairy Sci 73:2525–2537

    Google Scholar 

  • VanRaden PM, Wiggans GR (1991) Derivation, calculation, and use of animal model information. J Dairy Sci 74:2737–2746

    Google Scholar 

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Communicated by D. Van Vleck

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Hoeschele, I., VanRaden, P.M. Bayesian analysis of linkage between genetic markers and quantitative trait loci. II. Combining prior knowledge with experimental evidence. Theoret. Appl. Genetics 85, 946–952 (1993). https://doi.org/10.1007/BF00215033

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  • DOI: https://doi.org/10.1007/BF00215033

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