Consider two genetically isolated populations P1 and P2 which are oppositely fixed with respect to alleles A and a at a locus (so that P1(AA) = 1, P1(Aa) = P1(aa) = 0 and P2(aa) = 1, P2(Aa) = P2(AA) = 0). If a "meta-population" is produced by an equal admixture of these two populations,
a. What are the genotype frequencies of AA, Aa and aa in the metapopulation?
b. Are these consistent with HWE?
c. What are the genotype frequencies after one generation of random mating?
d. In general, if we start with two populations in HWE with allele frequencies (p1,q1) and (p2, q2) and we produce a "meta-population" which is an equal admixture of these two populations, what are the genotype frequencies in the mixed population at mixing and after one generation of random mating?
e. Show that the increase in Heterozygosity after one generation of random mating is (q1-q2)2/2. What is the lesson to be learned from this result?