In this question we will derive a model for a lethal dominan

In this question we will derive a model for a lethal dominant allele with mutation. Suppose that

‘A’ is a lethal dominant allele, such that all ‘AA’ and ‘Aa’ individuals die before mating, and a fixed fraction

W of ‘aa’ individuals survive to mate. Assume that the healthy allele ‘a’ mutates irreversibly to ‘A’ at a rate

V mutations per allele per generation.

1. Write down the absolute fitnesses of the below

W^AA        W^Aa         W^aa

2. Can the Fisher-Haldane-Wright model be used to predict the behaviour of allele frequencies in this case? Why or why not?

3. Write down the genotype frequencies amongst adults in generation ‘n’. Do the genotype frequencies change over time?

4. Using random mating, show that the genotype frequencies amongst zygotes in generation n+1 are

f^AA(n+1)=V²    f^Aa(n+1)=2V(1-V) f^aa(n+1)=(1-V)

5. Find the allele frequency f^A(n+1) in terms of V

Note: Fisher-Haldane-Wright model taught in class is as noted below. I am really struggling with this question so any help about where to start would be most appreciated.

Solution

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