Each of the two isolated populations is in Hardy-Weinberg equilibrium (HWE) and
ID: 71044 • Letter: E
Question
Each of the two isolated populations is in Hardy-Weinberg equilibrium (HWE) and the number of individuals in different genotype categories in the two populations is shown below:
A. If the populations join together to form a single population, calculate the allele and genotype frequencies in the population immediately after merger.
B. Use the chi-square test to determine if the merged population is in HWE.
C. In class we found that a population of 50 Aa and 50 aa individuals is not in HWE. Would the population be in HWE after one generation of random mating?
Genotype AA Aa aa Population 1 4 32 64 Population 2 64 32 4Explanation / Answer
If the two populations join together, the new numbers for the different genotypes would be:
AA - 68
Aa - 64
aa - 68.
Genotype frequencies would be - 34% for AA and aa(68/200 x 100). 32% for Aa(64/200 x 100).
Allele frequencies - total number of alleles = 400.
Frequency of A = 68 x 2 + 64/400 = 200/400 = 0.5
Frequency of a will be the same.
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Since p + q = 1, the population is in HWE. So the expected and observed frequencies would be the same.
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The genotype frequencies would be 50/100 * 100 = 50% for both.
Alelic frequencies would be 100 + 50 /200 = 0.75(a). The A allele is 0.25. (50/200)
This is in HWE. After one generaiton of mating also the equilibrium will continue
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