In a population at equilibrium, and between mutation and selection for a recessive allele, the value of s is 0.5 and ??is 10-5.
a) The equilibrium frequency of the allele can be calculated by the following formula:
Therefore, the equilibrium frequency of the allele q is.
Genetic cost = sq2
Therefore, the selection cost of the allele is.
b) If individual members of the population are irradiated to cause the mutation rate to double, the new equilibrium frequency of the allele would be:
Therefore, the new equilibrium frequency of the allele q is.
Genetic cost is calculated in the following way:
Therefore, the new selection cost of the allele is.
c) If the mutation rate remains unchanged, but the selection coefficient is reduced to 0.3, the new equilibrium frequency can be calculated as follows:
Genetic cost is calculated in the following way:
Therefore, the new equilibrium frequency and the new selection cost of the allele are and respectively.