  We study an individual-based predator-prey model of biological coevolution,
using linear stability analysis and large-scale kinetic Monte Carlo
simulations. The model exhibits approximate 1/f noise in diversity and
population-size fluctuations, and it generates a sequence of quasi-steady
communities in the form of simple food webs. These communities are quite
resilient toward the loss of one or a few species, which is reflected in
different power-law exponents for the durations of communities and the
lifetimes of species. The exponent for the former is near -1, while the latter
is close to -2. Statistical characteristics of the evolving communities,
including degree (predator and prey) distributions and proportions of basal,
intermediate, and top species, compare reasonably with data for real food webs.
