Consider a population of 100 individuals and the frequency o

Consider a population of 100 individuals and the frequency of the A allele is 0.6 and the frequency of the a allele is 0.4. If the following fitness values for each genotype are applied to the next generation, what will be the frequency of the A allele in the next generation?

wAA = 0.25

wAa = 1

waa = 0.25

Solution

From the given information, we can calculate the w-bar by the below formula,

p2wAA+ 2pq wAa + q2 aa = w-bar

(0.6)²(0.25) + 2*0.6*0.4 (1) + (0.4)²(0.25) = w-bar

0.09+0.48+0.04 = 0.61

Now, the frequencies in the next generation can be calculated as follows.

The frequency of A in the next generation is = p2wAA/ w-bar = 0.09/ 0.61 = 0.147.