Summary
The effects of linkage and linkage disequilibrium on the genetic variances and covariances of noninbred relatives are formulated for quantitative traits with additive and dominance effects but without epistasis. Assortative mating is excluded. Linkage disequilibrium between two loci introduces a covariance between their additive effects and between their dominance effects. The usual coefficients of additive and dominance variances found by counting paths through common ancestors suffice to express the covariances of relatives, which now include the additive and dominance covariances. The linkage parameter, or recombination fraction, comes into play only when relating the additive or dominance covariances from one generation to another.
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Paper No. 6377 of the Journal Series of the North Carolina Agricultural Research Service, Raleigh, North Carolina. This investigation was supported in part by NIH Research Grant No. GM 11546 from the National Institute of General Medical Sciences.
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Weir, B., Cockerham, C. & Reynolds, J. The effects of linkage and linkage disequilibrium on the covariances of noninbred relatives. Heredity 45, 351–359 (1980). https://doi.org/10.1038/hdy.1980.77
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DOI: https://doi.org/10.1038/hdy.1980.77
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