Answer :
The A allele is expected to increase in frequency to 0.96, while the a allele is expected to decrease to 0.04 in the next generation.
To determine the allelic frequencies, we need to first calculate the genotype frequencies using the Hardy-Weinberg equation:
p^2 + 2pq + q^2 = 1
where p and q are the frequencies of the two alleles, A and a, respectively.
Given the frequencies of Aa (0.30), AA (0.60), and aa (0.10), we can calculate p and q as follows:
p + q = 1 (since there are only two alleles)
2pq = 0.30 (since Aa has both A and a alleles)
Solving these equations simultaneously, we get:
p = 0.6
q = 0.4
These are the allelic frequencies in the current generation.
To calculate the expected allelic frequencies in the next generation, we need to use the selection coefficients:
s(AA) = 1.00
s(Aa) = 1.00
s(aa) = 0.50
The change in frequency of the A allele (Δp) can be calculated using the following equation:
Δp = p(s(AA)q^2 + s(Aa)2pq) / W
where W is the mean fitness of the population. Since we don't have information on the mean fitness, we assume that it is equal to 1. In that case, we get:
Δp = p(s(AA)q^2 + s(Aa)2pq)
= 0.6(1.00)(0.16) + 0.6(1.00)(0.48)
= 0.36
Therefore, the expected allelic frequencies in the next generation are:
p' = p + Δp
= 0.6 + 0.36
= 0.96
q' = 1 - p'
= 1 - 0.96
= 0.04
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