Complete selection with partial self-fertilization

Summary

The estimation of the amount of heterozygosity at any generation in plants helps the breeders in successful selection procedure and in the task of hybridization. An iteration relation is obtained for the estimation of heterozygosity at any generation from the previous generation in cases of the plants where either selfing or natural cross-fertilization or both occur in varying proportions and the recessive phenotypes are completely eliminated. The relationship is of the form:h _n+1=ψ (h _n ), whereh _n is the proportion of heterozygosity andψ (h _n ) is a nonlinear equation. The proportions of heterozygosity up to the 40th generation for different values of the proportion of natural crossing (c), ranging fromc=0.0 toc=1.0 are worked out. The study was made for getting suitable expressions ofh _n in terms ofn for different values of the proportions of natural crossing.