Problem_set_4_new

# Problem_set_4_new - =.45 Let p = average p p 3 =.25 p 4...

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Problem Set 4 Evolution 1. A species is subdivided into 4 subpopulations of equal size with the following genotype frequencies: AA Aa aa POP 1: .1 .4 .5 POP 2: .2 .5 .3 POP 3: .1 .3 .6 POP 4: .8 .1 .1 Calculate F st , using the frequency of the A allele. 2. Using the value of F st that you got in Problem 1, calculate the number of migrants per generation (assuming the island model assumptions are met). Answers: 1. First, calculate p for each population and the average p. p 1 =.1 + ½(.4) = .3 p 2
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Unformatted text preview: = .45 Let p = average p p 3 = .25 p 4 = .85 then p = (p 1 + p 2 + p 3 + p 4 )/4 = .4625 Then calculate σ p 2 σ p 2 = [(p 1-p) 2 + (p 2-p) 2 + (p 3-p) 2 + (p 4-p) 2 ] / 4 = .055469 Then calculate F st F st = σ p 2 / (p)(1-p) = .055469 / .4625 (.5375) = .22313 2. Solve the following equation for Nm: F st = 1/(4Nm+1) therefore Nm = ((1/F st ) - 1) / 4 Then plug in F st Nm = ((1/.22313) - 1) / 4 = .8704 = .8704 migrants per generation...
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