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in evolution, w is used to represent the relative fitness of a genotype. evoluti

ID: 195869 • Letter: I

Question

in evolution, w is used to represent the relative fitness of a genotype. evolutionary biologists might want to calculate the average fitness of a population. Which of the 2 populations has the highest average fitness? population 1 fA1A1= 0.4 and wA1A1=1 fA1A2=0.3 and wA1A2=1 fA2A2=0.3 and wA2A2=0.7 population 2 fA1A1=0.3 and wA1A1=1 fA1A1=0.3 and wA1A2=1 fA2A2=0.4 and wA2A2=0.7 in evolution, w is used to represent the relative fitness of a genotype. evolutionary biologists might want to calculate the average fitness of a population. Which of the 2 populations has the highest average fitness? population 1 fA1A1= 0.4 and wA1A1=1 fA1A2=0.3 and wA1A2=1 fA2A2=0.3 and wA2A2=0.7 population 2 fA1A1=0.3 and wA1A1=1 fA1A1=0.3 and wA1A2=1 fA2A2=0.4 and wA2A2=0.7 population 1 fA1A1= 0.4 and wA1A1=1 fA1A2=0.3 and wA1A2=1 fA2A2=0.3 and wA2A2=0.7 population 2 fA1A1=0.3 and wA1A1=1 fA1A1=0.3 and wA1A2=1 fA2A2=0.4 and wA2A2=0.7

Explanation / Answer

Population 1

Average fitness = p2WAA + 2pqWAa + q2Waa

                          = 0.4 X 1 + 2 X 0.3 X 1 + 0.3 X 0.7

                          = 0.4 + 0.6 + 0.21

                          = 1.21

Population 2

Average fitness = p2WAA + 2pqWAa + q2Waa

                         = 0.3 X 1 + 2 X 0.3 X 1 + 0.4 X 0.7

                         = 0.3 + 0.6 + 0.28

                         = 1.18

Population 1 has high average fitness.