Due to the complex interactions between species in food webs, the extinctio
n of one species could lead to a cascade of further extinctions and hence c
ause dramatic changes in species composition and ecosystem processes. We fo
und that the risk of additional species extinction, following the loss of o
ne species in model food webs, decreases with the number of species per fun
ctional group. For a given number of species per functional group, the risk
of further extinctions is highest when an autotroph is removed and lowest
when a top predator is removed. In addition, stability decreases when the d
istribution of interaction strengths in the webs is changed from equal to s
kew (few strong and many weak links). We also found that omnivory appears t
o stabilize model food webs. Our results indicate that high biodiversity ma
y serve as an insurance against radical ecosystem changes.