Island biogeography theory predicts that the number of species on an island
should increase with island size and decrease with island distance to the
mainland. These predictions are generally well supported in comparative and
experimental studies. These ecological, equilibrium predictions arise as a
result of colonization and extinction processes. Because colonization and
extinction are also important processes in evolution, we develop methods to
test evolutionary predictions of island biogeography. We derive a populati
on genetic model of island biogeography that incorporates island colonizati
on, migration of individuals from the mainland, and extinction of island po
pulations. The model provides a means of estimating the rates of migration
and extinction from population genetic data. This model predicts that withi
n an island population the distribution of genetic divergences with respect
to the mainland source population should be bimodal, with much of the dive
rgence dating to the colonization event. Across islands, this model predict
s that populations on large islands should be on average more genetically d
ivergent from mainland source populations than those on small islands. Like
wise, populations on distant islands should be more divergent than those on
close islands. Published observations of a larger proportion of endemic sp
ecies on large and distant islands support these predictions.