Assume that at a single locus with two alleles, alleles A1 and A2 are both neutr
ID: 62646 • Letter: A
Question
Assume that at a single locus with two alleles, alleles A1 and A2 are both neutral. Twentyfive populations of N=100 are established, and the frequency of the A1 allele in each replicate
population is 0.3 (i.e., p=0.3).
a) What is the expected value of p averaged across all populations in the next generation?
b) What is the expected variance in p across populations?
c) What is the expected heterozygosity in one of these populations after 20 generations
assuming that the population size remains constant?
Explanation / Answer
E(T) = -4N [p ln p + (1-p) ln (1-p)] generations
Given N=100, where p=0.3
-4(100)[0.3 In 0.3 + (1-0.3) In (1-0.3)]
-400[0.09+0.7 In 0.7]
-400[0.09+0.49]
-400[0.0441]
-17.64