4. Consider a locus with two alleles, A and a. If the mutation rate from A to a

Question

4. Consider a locus with two alleles, A and a. If the mutation rate from A to a is 8.6 x 10-4 mutations per generation and the mutation rate from a to A is 4.7 x 10-4. Given these mutation rates: A. What is the frequency of a in the next generation? (2 points) B. What is the expected equilibrium frequency of a? (2 points) 4. Consider a locus with two alleles, A and a. If the mutation rate from A to a is 8.6 x 10-4 mutations per generation and the mutation rate from a to A is 4.7 x 10-4. Given these mutation rates: A. What is the frequency of a in the next generation? (2 points) B. What is the expected equilibrium frequency of a? (2 points) 4. Consider a locus with two alleles, A and a. If the mutation rate from A to a is 8.6 x 10-4 mutations per generation and the mutation rate from a to A is 4.7 x 10-4. Given these mutation rates: A. What is the frequency of a in the next generation? (2 points) B. What is the expected equilibrium frequency of a? (2 points)

Explanation / Answer

a locus with two alleles, A and a.

If the mutation rate from A to a is 0.86 * 10-3 mutations per generation

and the mutation rate from a to A is 0.47 * 10-3,

what is the expected equilibrium frequency of a?

Let u = rate of forward mutation = 0.86 * 10-3,

and

let v= rate of back-mutation = 0.47 * 10-3.

Let p be the frequency of A

and q be the frequency of a.

We know that at equilibrium p = v/(u+v),

and q = 1-p. So

q = 1- [0.47 * 10-3/(0.86* 10-3 + 0.47 * 10-3)] = 0.65.---------answer --frequency of a

p=1-q=1-0.65=0.35---------------------------------------------------answer --frequency of A

This makes sense, because the rate of mutation making a is faster than the rate of mutation turning it back into A.

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