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Estimation of Genetic Variances Using Inbred Relatives¹

A procedure for estimation of additive, dominance, and additive by additive genetic variances using two types of covariances among inbred relatives is outlined. Inbred relatives are generated by bulk selling each of the F₁ (non-inbred) progenies in mating designs such as Design I and II. With appropriate linear functions of covariances among inbred relatives, genetic variances defined for the non-inbred reference population are estimated with no restrictions on gene frequencies or number of alleles per locus. Although the use of inbred relatives is applicable for both cross- and self-pollinated species, the utility of inbred relatives should be greater for self-pollinators. Use of covariances among inbred relatives is illustrated with a set of data from a maize study.

Key Words: Covariances among relatives • Mating designs • Maize • Zea mays L.

² Research Geneticist, Crops Research Division, Agricultural Research Service, U. S. Department of Agriculture, and Associate Professor of Genetics, North Carolina State University, Raleigh, N.C. 27607.

Received for publication April 8, 1969.