All answers must start with the equation that was used to answer the question, a

Question

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3. The frequency of A1 among continental populations of bats is 0.94. On a nearby island, the frequency of A1 is 0.4. There are approximately 100 bats on the island, and each generation an average of one bat migrates from the continent to the island. How does the frequency of A1 on the island change from one generation to the next?        

3b. What is the rate of change of the allele frequency on the island as a function of migration?

Explanation / Answer

3. Percentage of 0.4 in 0.94 is 42.5. It means that 42.5 percent of A1 gets transferred to the island when one bat migrates from continent to the island in one generation.

Therefore, If there are 100 bats in the island, 42 bats have A1 allele. So, after 100 generations, 42 bats have A1 allele out of 100 bats.

If the frequency of allele transferred to island per one bat is 0.4, then the frequency transferred from 42 bats would be 0.4*42 which is equal to 16.8. Therefore, after 100 generations, the frequency of A1 is 16.8. For each generation, the change in the frequency can be calculated as 16.8/100 which is equal to 0.168.

In the first generation, 0.4+0.168 = 0.568 is the changed frequency. In the second generation, 0.568+0.168=0.728 is the changed frequency and so on.

3b. p=freq (A1); p=0.4

Then freq (A2) is 0.6 which is the difference between 1 and 0.4.

The rate of allele frequency on the island is 0.4*0.4 (A1A1) which is equal to 0.16 calculated when A1 is dominant in the island. When A1 is intermediately dominant, then rate of change of allele frequency is 0.4*0.6 which is equal to 0.24.

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