The analysis of madified complete diallel cross with partial inbreeding and the example in silkworms.

Abstract

Here aire explained fully and analytically the method of estimating additive genetic variance, dominance variance, epistatic variance, etc. of a certain random mating population in equilibrium, from the data of the modifled dialle cross with reciprocal crosses among some strains which are sampled at random from the population of partial inbreeding strains obtained by inbreeding the random mating population in equilibrium. Such an analysis without reciprocal crosses has already disc.ussed, cf, references 2 and 3. This analysis was extended to reoiprocal crosses, and as a result reciprocal full-sib covariances were introduced. Some intuitive or indefinite parts to obtain expectation in these literatures have also been revised. As the numerical example, the data of the modified dialle cross with reciprocal crosses among F₆ strains obtained from full-sibbing F₂ population of silkworms were analysed. In this case, the original random mating population in equilibrium is F₂ population. This result is presented in table 6.