1. We calculated the observed species turnover of the bird communities
on 13 small islands off the coast of the British isles and the Republ
ic of lreland for different census intervals. For seven of these islan
ds, the maximum intervals exceeded 80 years. 2. We developed a non-lin
ear, asymptotic model to describe how observed turnover should change
with census interval. Our assumptions were traditional ones, based upo
n the assumption of dynamic equilibrium in familiar island biogeograph
y theory, even though we knew that such equilibrium was rare in these
islands. Furthermore, the model considered the average dynamics of the
species present and not the dynamics of the individual species. 3. Th
is model showed that neither the observed turnover calculated over dif
ferent intervals, nor the turnover rate obtained by dividing this obse
rved turnover by the interval, are statistics that permit comparison b
etween islands. Observed turnover increased over time, thus 1-year tur
nover underestimated the turnovers over a decade or a century. The inc
rease was less than linear, however, so dividing observed turnover by
the number of years in its calculation produced a statistic that decli
ned progressively with that number. 4. The model provided a significan
t overall fit to the data, but underestimated turnover at both the sho
rtest and longest census intervals. We modified the model to reduce th
e amount of underestimation, by incorporating the long-term changes in
the number of species on each island and hence removing the assumptio
n of equilibrium. This non-equilibrium model provided a much improved
fit to the data, but it still failed to describe turnover at the very
shortest intervals. These, however, are known from other studies to be
inflated by individuals-floaters-that nest only once or twice on the
islands. 5. The improved, non-equilibrium model made good predictions
of the observed turnover over a 4-year interval. These predictions may
be used to compare islands, including those for which empirical data
on 4-year turnovers are sparse, 6. We divided the non-equilibrium mode
l into an intrinsic and an extrinsic component, representing the influ
ence of within-community and external factors, respectively. 7. Even t
he intrinsic components of turnover are large, involving differences i
n species composition of 6-36% between widely separated censuses. How
these intrinsic components of turnover vary from island to island is n
ot clear because previous studies have been unable to compare turnover
at different time scales. The number of islands in this study was too
few for this purpose and we leave a more broadly based comparison for
a future paper.