Genetic drift of weakly advantageous alleles

Drift & Selection on rare alleles with weak selective dis-advantage in finite populations
(N = 100, f(B0) = 0.005; W0 = W1 = 1.0, W2 = 0.9)


    Trajectories of a strongly deleterious (s = 0.1, W2 = 0.9) rare mutant allele in multiple populations (N = 100 @) from an initial single copy f(B) = 1/200 = 0.005. More 90% of replicates go to f(B) = 0 within 20 generations: ~20 are still polymorphic at t = 100 generations, and seven at t = 200 generations.  The long-term expectation for this combination of s and N is f(B) 0, despite drift. Note that s > 1/2N.

    Under the same conditions as above, with 10,000 replicates, only five populations (0.005 %) reach f(B) > 0.5 at any time, and all populations go to f(B) = 0 in less than 500 generations.

Strong selective disadvantage, 10,000 replicates

Text material © 2021 by Steven M. Carr