Question

Two populations of a fly are isolated from all other populations. Population S lives on a very small island and has a population size of $10^{3}$ individuals. Population L lives on a continent and has a population size of $10^{8}$ individuals. There is a beneficial mutation that increases fitness by 1 percent, but initially neither population has a copy of that allele. The mutation rate from the current allele to the beneficial mutation is $5 \times$ $10^{-7} .$ Approximately how likely is it that the beneficial mutation will be common in each population after 1000 generations?

          Two populations of a fly are isolated from all other populations. Population S lives on a very small island and has a population size of $10^{3}$ individuals. Population L lives on a continent and has a population size of $10^{8}$ individuals. There is a beneficial mutation that increases fitness by
1 percent, but initially neither population has a copy of that allele. The mutation rate from the current allele to the beneficial mutation is $5 \times$ $10^{-7} .$ Approximately how likely is it that the beneficial mutation will be common in each population after 1000 generations?

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Added by Haley A.

Biology for AP Courses

Julianne Zedalis, John Eggebrecht

Instant Answer

Solved by Expert Adi S

06/29/2023

Step 1

First, we need to find the probability that the beneficial mutation will occur in each population. This can be calculated as the mutation rate multiplied by the population size. For Population S: $P_S = (5 \times 10^{-7}) \times (10^3) = 5 \times 10^{-4}$ For Show more…

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Two populations of a fly are isolated from all other populations. Population S lives on a very small island and has a population size of $10^{3}$ individuals. Population L lives on a continent and has a population size of $10^{8}$ individuals. There is a beneficial mutation that increases fitness by 1 percent, but initially neither population has a copy of that allele. The mutation rate from the current allele to the beneficial mutation is $5 \times$ $10^{-7} .$ Approximately how likely is it that the beneficial mutation will be common in each population after 1000 generations?

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