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A Design III Study of Linkage Disequilibrium for Percent Oil in Maize¹

The objectives of this study were 1) to estimate additive and dominance genetic variance and the average degree of dominance for percent oil in the F₂ and F₈ randommated generations of a cross between Illinois High Oil (IHO) and Illinois Low Oil (ILO) maize (Zea mays L.) strains using Design III and 2) to measure the effect of linkage bias on such estimates.

The following results were obtained: 1) The estimate of additive genetic variance was about eight x larger than that of dominance genetic variance in the F₂ and about four x larger in the F₆; 2) The estimate of additive variance in the F₈ was half that in the F₂ suggesting that many loci controlling percent oil were linked in the coupling phase in the parents; 3) The estimate of dominance variance in the F₆ did not differ from the F₂ indicating a lack of effect of linkage on dominance variance which could be interpreted as indicating that genes with dominant action are distributed throughout the genome with map distances approximating independent inheritance or that some genes are dominant for low oil while others are dominant for high oil; 4) Estimates of the average degree of dominance were 0.508 for the F₂ generation and 0.681 for the F₈. Both estimates are significantly different from zero and from one, but not from each other.

Key Words: Zea mays L. • Degree of dominance • Linkage bias

² Graduate student (under grant from the Instituto Nacional de Investigaciones Agrarias, Spain), professor and associate professor of plant genetics in agronomy, Univ. of Illinois, Urbana 61801.

Received for publication May 13, 1975.

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