Consider a population of N breeding diploid organisms. Suppose
that a new genetic mutation
arises in a single gene copy within an individual, producing a new
A. There is a small
probability that the frequency, p, of this mutant allele within
the breeding population will increase and become fixed (i.e. p = 1;
the population eventually becomes monomorphic). In 1969, Japanese
geneticists Motoo Kimura and Tomdko Ohta computed the probability of
fixation of such a new mutation (under certain assumptions) as,
where s is the selective advantage of allele A and N is
the number of breeding individuals .
Given this equation, find the value of N required
for allele A,
with selective advantage s = 0.050,
to have fixation probability of 0.11.
Be sure to keep your answer
exact until the last step to
avoid the propagation of round-off errors.