A basic issue in ecology is the relation between extinction and popula
tion size. One of the dearest manifestations of a population threshold
for extinction is the critical community size below which infections
like measles do not persist. The current generation of stochastic mode
ls overestimates the observed critical community size for measles, gen
erating much less persistence of infection than is observed. The inclu
sion of a more biologically realistic model for the duration of infect
ion produced a much closer fit to the actual critical community size a
nd explains previously undescribed high-frequency oscillations in meas
les incidence.