M. Vanboven et Fj. Weissing, EVOLUTION OF SEGREGATION DISTORTION - POTENTIAL FOR A HIGH-DEGREE OF POLYMORPHISM, Journal of theoretical biology, 192(2), 1998, pp. 131-142
By means of a population genetical model, we study the evolution of se
gregation distortion. Most models of segregation distortion focus on a
single distorter allele. In contrast, we consider the competition bet
ween a large number of distorters. Motivated by systems as the t compl
ex of the house mouse or the Sd complex of Drosophila melanogaster, we
assume that there is some ''complementation'' between distorter allel
es, i.e. that the fitness of individuals heterozygous for two distorte
r alleles is higher than the fitness of homozygous individuals. In the
presence of complementation, the most efficient distorter allele with
the highest segregation ratio often does not outcompete less efficien
t distorters. In fact, our results show that coexistence of a large nu
mber of distorter alleles is more typical than the competitive exclusi
on of less efficient distorters by a single superior allele. We first
consider the analytically tractable system where all distorters show t
he same amount of complementation. In this case, all distorters with a
segregation ratio higher than a certain critical value will persist,
resulting in a polymorphic population where the average segregation ra
tio is only slightly larger than 0.5. If the degree of complementation
varies, there may be more than one stable equilibrium, and the outcom
e of competition may depend on the initial conditions. Motivated by em
pirical examples, we also consider the case that the distorting abilit
y of an allele is negatively related to its effects on individual fitn
ess. Interestingly, the outcome of competition depends crucially on de
tails of such a trade-off. We conclude that verbal arguments are insuf
ficient to predict the evolution of segregation distortion. (C) 1998 A
cademic Press Limited.