We have a population that is found on three islands, as indicated in this drawin

Question

We have a population that is found on three islands, as indicated in this drawing:

For each island:
p= allele frequency of A1
c=proportion of the total population in this island (cA+cB+cC=1) w=w11 and v=w22 are fitness values for that island.

The migration rates are show in the drawing. There is different selection in each of the islands, where w=w11 is the fitness of A1A1 and v=w22 is the fitness of A2A2, with 1 being the fitness of the heterozygote.

Write an Excel program to follow this population (with initial allele frequencies as given) for 20 generations. Calculate the overall allele frequency, p. Does it appear the population will reach equilibrium? If so, what is the equilibrium p?

At the initial time, p0=(0.6)(0.6)+(0.3)(0.5)+(0.1)(0.4) = 0.55

Note: It is good programming practice to put the parameters on the spreadsheet itself rather than hard coding it into the program. When referring to the parameters, remember to use the dollar sign so it wont change with generations (e.g., $R$2).

We have a population that is found on three islands, as indicated in this drawing: For each island: p= allele frequency of A1 c=proportion of the total population in this island (cA+cB+cC=1) w=w11 and v=w22 are fitness values for that island. The migration rates are show in the drawing. There is different selection in each of the islands, where w=w11 is the fitness of A1A1 and v=w22 is the fitness of A2A2, with 1 being the fitness of the heterozygote. Write an Excel program to follow this population (with initial allele frequencies as given) for 20 generations. Calculate the overall allele frequency, p. Does it appear the population will reach equilibrium? If so, what is the equilibrium p? At the initial time, p0=(0.6)(0.6)+(0.3)(0.5)+(0.1)(0.4) = 0.55 Note: It is good programming practice to put the parameters on the spreadsheet itself rather than hard coding it into the program. When referring to the parameters, remember to use the dollar sign so it wont change with generations (e.g., $R$2).

Explanation / Answer

population (with initial allele frequencies as given) for 20 generations is 30.

p=0.15

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