Ecological communities are open to the immigration of individuals and are variable through time. In open habitats immigration may permit populations of a species to persist locally even though local biotic and abiotic processes tend to exclude such ''sink'' populations. A general model for a sink population reveals that autocorrelated environmental variation can dramatically inflate local abundance and that such populations display a characteristic ''outbreak'' pattern. An experimental protist microcosm exhibits these predicted effects. Because the many ecological and environmental processes that set the rate of exclusion are typically autocorrelated, these theoretical and empirical results have broad implications for our understanding of community structure and highlight a previously unsuspected potential effect of anthropogenic climate change.A n abiding theme in ecology is that local communities are restricted subsets of regional species pools (1). Because local communities are assembled by immigration and depleted by extinction, community structure may arise from patterns in the success and failure of population growth after immigration, driven either by interspecific interactions with resident community members, abiotic fluctuations in habitat quality through time, or some combination of the two (2). A growing body of theory and evidence suggests that spatial flows of individuals among habitats are essential for maintaining the long-term integrity of populations and communities (3, 4). One consequence of the movement of individuals into habitats that are either intrinsically low in quality or have strong resident competitors or predators is the creation of population ''sinks'' (5, 6). In a sink habitat, in the absence of immigration, populations suffer extinction because local births are insufficient to balance local mortality. The continued presence of such otherwise excluded species within a local assemblage depends on recurrent immigration from sources, a form of the ''rescue effect'' (7). But if habitat quality and hence local recruitment vary because of fluctuations in biotic or abiotic environmental variables, then sink populations may experience periods of net positive local growth. The local abundance of species in such habitats should thus reflect the interplay of immigration and temporal fluctuations within the habitat.One general property of environmental variation of particular importance for ecological dynamics is its autocorrelation structure, which defines the statistical dependency of successive values in a time series. In contrast to random fluctuations where successive values are statistically independent, autocorrelated fluctuations have a serial dependency. This property of environmental variability has been the focus of much recent study because (i) the environmental fluctuations of many physical variables (such as temperature and rainfall) are positively autocorrelated (8-10) and (ii) fluctuations of natural populations, which are often large in magnitude (11), are also often positivel...