Example trajectories of the frequencies of the female preference (dots) and
male types (lines) when preferences are initially (a)
absent or (b) fixed. The examples use strict preferences
with no temporal variation in viability selection. Parameters used are
N=1000, n=50,
c=0.01, k=5,
y=1 and
μ=0.0002. The dynamics of male genotypes
are characterized by drift when female preferences are absent and much
tighter regulation when a fraction of females prefer rare males. Where
preferences are fixed (i.e. up to generation 100 in (b)),
the rarest male types are the most common in the next generation, leading to
sharp fluctuations in male frequencies.