Drift & Selection on rare alleles with weak selective
disadvantage 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.
Figures &
Text material © 2024 by Steven
M. Carr