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11 Dec 2019

What is the probability of elimination of an allele with a new mutation in a population size of 350 individuals?

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13 Dec 2019
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Related questions

How do you arrive at this answer?

In a Wright-Fisher model with mutation and a (haploid) population of size 50, a new mutant arises in the population at time step zero, so that (initially) exactly one of the fifty genotypes in the population has the mutant allele. Assuming that the allele is selectively neutral, what is the probability that it will eventually become fixed in the population by random drift?
ANSWER: 0.02

A nuetral mutation (no fitness difference from the existingallele( occurs in a population of 1500 individuals. What is theprobability that the new allele will eventually get fixed in thatpopulation?

Thanks!!

We consider a population containing a constant number N of diploid individuals (= 2N genes at any given locus).

a) What is (as a function of N) the probability that a neutral mutant allele goes to fixation ?

b) We denote the probability that an offspring carries a neutral mutant allele by u. What is (as a function of u and N) the number of new neutral alleles that we expect to appear by mutation, every generation?

c) Use your answers to a) and b) to obtain the rate of neutral substitutions (per generation).

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