Some properties of community structure are explored using co-evolution
ary theory. We consider mathematical models of food webs in which all
species in a community adopt foraging behaviours and antipredator beha
viours that maximize individual fitness. If the antipredator behaviour
of a prey is effective against all its enemies, the number of prey-pr
edator links in a food web must be less than the sum of the numbers of
prey and predator species. However, if an increase in a prey's attent
ion to one type of predator decreases its attention to another type of
predator, there may be no limit on the number of predator species usi
ng a common set of prey species. Predator-specific defence allows a mu
ch more complex community structure than non-specific defence. Predato
r-specific defence more frequently allows a large niche overlap betwee
n predators than does non-specific defence. The high connectivity of s
ome fish communities in Lake Tanganyika may be an example of this phen
omenon.