With the study of the equilibrium theory of
island biogeography pioneered by MacArthur
and Wilson ( 1963, 1967), increasing attention has been paid to the study of turnover rates
(Mayr 1965; Diamond 1969, 1971; Power
1972; Terborgh and Faaberg 1973). The
failure of bird species turnover rates to show
the predicted negative correlation with island
size in the California Channel Islands (Diamond
1969) raises questions as to what factors
other than island size may be involved in
determining species turnover. · Previous studies
of avifaunal turnover have treated faunas as
a whole and have not differentiated turnover
rates for rare species from those of common
species. Since very large birds and species
at high levels on the food chain often exist
at relatively low densities, these organisms
would be expected to have a greater probability
of extinction on small islands than those
species which maintain larger populations
(Brown 1971). A theoretical basis for this
hypothesis can be derived from Gilpin ( 197 4).
He has shown ( pers. comm.) that extinction
rates should be a negative exponential function
of K, and thus should be very sensitive
to small population size.