5. Consider the following diploid fitnesses: A1 A1 A1 A2 A2 A2 Fitness 2.3 2.0 2

Question

5. Consider the following diploid fitnesses:
A1 A1 A1 A2 A2 A2
Fitness 2.3 2.0 2.1
a. For a population at Hardy-Weinberg, with allele frequencies of p=0.1 for
allele A1, and 0.9 for allele A2, what is the average fitness of each allele?
b. Calculate h and s when the fitness of genotype A1 A1 is the standard.
c. Calculate h and s when the fitness of genotype A2 A2 is the standard.
d. Which allele will increase in frequency in the next generation starting from
p=0.1?
e. For a population at Hardy-Weinberg with allele frequency of p=0.9, what is
the average fitness of each allele?
f. Which allele will increase in frequency in the next generation starting from
p=0.9?

Explanation / Answer

a. Allelic frequencies given are: p = 0.1 q = 0.9 Considering the fitness values given: A1 = 2.3 + 2.3 + 1.0 = 5.6 A2 = 2.1+2.1+1.0 = 5.2 ------------------ The average fitness of the allele when p = 0.1 and q = 0.9 is: A1[p] = 5.6 x 0.1 = 0.56 A2 [q] = 5.2 x 0.9 = 4.68 ------------------------------------------- b. When the fitness of the genotype A1A1 is the standard, the values of s and h is 1. -------------------------------------------- c. When the fitness of the genotype A2A2 is the standard, the values of s and h can be calculated as: wA2A2 = 1-s 2.1 = 1-s s = -1.1 "h" is calculated only for heterozygotes. -------------------------------------------- d. When p = 0.1, q = 0.9. Thus the allele which will increase in frequency is p. ----------------------------------------- e. The average fitness of the allele when p = 0.9 and q = 0.1 is: A1[p] = 5.6 x 0.9 = 5.04 A2 [q] = 5.2 x 0.1 = 0.52 -------------------------------------------- f. When p = 0.9, q = 0.1. Thus the allele which will increase in frequency is q. The average fitness of the allele when p = 0.9 and q = 0.1 is: A1[p] = 5.6 x 0.9 = 5.04 A2 [q] = 5.2 x 0.1 = 0.52 -------------------------------------------- f. When p = 0.9, q = 0.1. Thus the allele which will increase in frequency is q.

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