Question

Consider a racoon population that exhibits variation at the G locus, which has two possible alleles: G₁ and G₂. The population starts out at Hardy Weinberg Equilibrium and the frequency of the G₁ allele in the original population is 0.3. The relative fitness of each genotype during this generation is listed below. Use information to answer the following questions.

w₁₁ = 0.8

w₁₂ = 1.0

w₂₂ = 0.5

Calculate the average fitness for the population.

Calculate the genotype frequencies in the next generation.

Calculate the frequency of the G₁ allele in the next generation.

Calculate the frequency of the G₂ allele in the next generation.

Calculate the change in the frequency of the G₁ allele in the next generation.

Answer 1

the frequency of G1allele is given, p= 0.3,

frequency of G2 allele will be, q= (1-0.3) = 0.7

now average fitness of the population can be calculated as

w= p²w11+2pqw12+q²w22 = (0.3²x0.8)+(2x0.3x0.7x1)+(0.7²x0.5)=0.737

now genotypic frequency in next generation will be

G1G1 genotype = p² x (W11/avg W) = 0.3²x (0.8/0.737)= 0.097

G1G2 genotype = 2pq x (W11/avg W) ) = 2x 0.3x 0.7 x (1/0.737) = 0.57

G2G2 genotype = q² x (W11/avg W) = 0.7²x (0.5/0.737) =0.33

frequency of G1 allele in next genetation = 0.097+( 0.57/2) = 0.382

Frequency of G2 allee in next generation=0.33+( 0.57/2) = 0.615

change in frequency of the G1 allele in next genration = ( 0.382-0.3)/0.3 *100= 27.3%