Question

If the frequency of the A allele is 0.7 and the frequency of the a allele is 0.3 given the fitness values for the various genotypes what is the mean fitness of the population?

Fitness values
AA 1.0
Aa 0.4
aa 0.1

Answer 1

The mean fitness of the population can be calculated by multiplying the genotype frequencies with their respective fitness values and summing up the products.

Step-by-step explanation:

The mean fitness of a population can be calculated by multiplying the genotype frequencies with their respective fitness values, and then summing up the products.

Given the following genotype frequencies:

• AA = 0.7 * 0.7 = 0.49
• Aa = 0.7 * 0.3 + 0.3 * 0.7 = 0.42
• aa = 0.3 * 0.3 = 0.09

The mean fitness can be calculated by adding up the products:

Mean fitness = (0.49 * 1.0) + (0.42 * 0.4) + (0.09 * 0.1) = 0.49 + 0.168 + 0.009 = 0.657

Therefore, the mean fitness of the population is 0.657.