Question

The distribution of genotypes in a partially-inbred population is given below. Solve for the inbreeding coefficient (F, as number between 0.0 and 1.0), assuming that allele frequencies are p = 0.3 and q = 0.7. Genotype Frequency DD 0.10 Dd 0.16 dd 0.74

Answer 1

In the given question, the two alleles are D and d with frequencies p,q and inbreeding at rate F.

The frequencies for homozygote will be two alleles while that of heteozygote will have one allele.

Thus,

DD = p² + Fpq

dd = q² + Fpq

As given in the question, the genotype frequencies of the three combinations which sum up to 1.

As inbreeding leads to reduction in heterozygosity, the inbreeding coeffcient F is calculated using the formula,

F = 2pq = 20.30.4 = 0.42

i.e. Inbreeding coefficient, F = 0.42