In a population of mealybugs the dominant allele (G) frequency for an allele controlling fluffiness is...

In a population of mealybugs the dominant allele (G) frequency for an allele controlling fluffiness is 0.75. Selection is acting upon this locus such that the fitness values are gg=0.4, Gg=1, and GG=0.027. Simulate selection in the population by calculating gentoype frequencies following selection, and calculating allele frequencies from those genotype frequencies.

a. State which genotype is being favored by selection.

b. Give the normalized/corrected genotype frequency for gg following selection. Round your answer to the nearest thousandth (e.g., 0.123)

c. Give the allele frequency for G following selection. Round your answer to the nearest thousandth (e.g., 0.123)

Solutions

Expert Solution

a) Gg genotype is favored by selection as it has highest fitness (1) compared to other genotypes.

b) Given, frequency of G = 0.75, fitness of gg = 0.4, Gg = 1 & GG = 0.027

So, frequency of g = 1 - frequency of G = 1 - 0.75 = 0.25

So, frequency of GG = (frequency of G)2 = (0.75)2 = 0.5625

So, frequency of Gg = 2 x frequency of G x frequency of g = 2 x 0.75 x 0.25 = 0.375

So, frequency of gg = (frequency of g)2 = (0.25)2 = 0.0625

Now, mean fitness = (Frequency of GG x Fitness of GG) + (Frequency of Gg x Fitness of Gg) + (Frequency of gg x Fitness of gg) = (0.5625 x 0.027) + (0.375 x 1) + (0.0625 x 0.4) = 0.0152 + 0.375 + 0.025 (Up to 4 decimals) = 0.4152

So, after selection frequency of gg = (Frequency of gg x Fitness of gg) / mean fitness = 0.025 / 0.4152 = 0.0602 (Up to 4 decimals) = 0.060 (Up to 3 decimals)

c) Now, after selection frequency of GG = (Frequency of GG x Fitness of GG) / mean fitness = 0.0152 / 0.4152 = 0.0366 (Up to 4 decimals)

Now, after selection frequency of Gg = (Frequency of Gg x Fitness of Gg) / mean fitness = 0.375 / 0.4152 = 0.9032 (Up to 4 decimals)

So, frequency of G after selection = 1/2 of frequency of Gg + Frequency of GG = 1/2 x 0.9032 + 0.0366 = 0.4882 0.488 (Up to 3 decimals)

gladiator answered 1 year ago

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