Question: Calculate the frequency of the AA, Aa, and aa genotypes after one generation if the initial population consists of 0.2 AA, 0.6 Aa, and 0.2 aa.
What I have done is:
P = (0.2)+(0.5)(0.6)= 0.50
q = 1-p = 1 - 0.50 = 0.50
Can someone check my answer plz.
To calculate the frequency of genotypes after one generation, we first need to understand the principles of genetic inheritance. In this case, we are looking at a population with two alleles, A and a.
The frequencies you have calculated for P (dominant allele frequency) and q (recessive allele frequency) appear to be incorrect. Allow me to explain the correct method for calculating these frequencies.
Given that the initial population consists of 0.2 AA individuals, 0.6 Aa individuals, and 0.2 aa individuals, we can determine the allele frequencies as follows:
1. Calculate the frequency of the dominant allele (A) using the formula:
P = f(A) + 0.5f(Aa)
P = 0.2 + 0.5 * 0.6
P = 0.2 + 0.3
P = 0.5
2. Calculate the frequency of the recessive allele (a) using the formula:
q = 1 - P
q = 1 - 0.5
q = 0.5
Now that we have the allele frequencies, we can calculate the genotype frequencies for the next generation.
1. Frequency of AA individuals:
f(AA) = P^2
f(AA) = 0.5^2
f(AA) = 0.25
2. Frequency of Aa individuals:
f(Aa) = 2Pq
f(Aa) = 2 * 0.5 * 0.5
f(Aa) = 0.5
3. Frequency of aa individuals:
f(aa) = q^2
f(aa) = 0.5^2
f(aa) = 0.25
Therefore, after one generation, the frequencies of the AA, Aa, and aa genotypes in the population will be 0.25, 0.5, and 0.25, respectively.
To summarize, the correct frequencies of genotypes after one generation are:
- AA genotype: 0.25
- Aa genotype: 0.5
- aa genotype: 0.25