In a finite asexual population mean fitness may decrease by a process
known as Muller's ratchet, which proceeds if all individuals with the
minimum number of deleterious alleles are randomly lost. If these alle
les have independent effects on fitness, previous analysis suggested t
hat the rate of this decrease either remains constant or, if accumulat
ion of mutations leads to the decline of the population size, grows. H
ere I show that this conclusion is quite sensitive to the assumption o
f independence. If deleterious alleles have synergistic fitness effect
s, then, as the ratchet advances, the frequency of the best available
genotype will necessarily increase, making its loss less and less prob
able. As a result, sufficiently strong synergistic epistasis can effec
tively halt the action of Muller's ratchet. Instead of being driven ex
tinct, a finite asexual population could then survive practically inde
finitely, although with lower mean fitness than without random drift.