Impacts of temporal variation on apparent competition and coexistence in open ecosystems

The natural world is variable both in space and in time, but little ecological theory has been explicitly devoted to analyzing the consequences of both kinds of variability operating simultaneously. This issue is examined relative to the indirect interaction of apparent competition, which can limit the membership of prey communities. One limiting case that provides a useful starting point is to imagine that a local community is influenced by coupling with an external source landscape, but has little reciprocal influence on that landscape. There usually will be some rate of input of a locally inferior species that suffices to 'swamp' a superior species and drive it to extinction. We use simple models of apparent competition to show that when one superimposes upon this scenario temporal fluctuations, mediated through shifts in parameter values, such variation can either magnify the importance of the external input, or reduce it, depending on which component of the system experiences variation. We examine this in the case of both slow variation (for which we suggest a protocol that may be useful in a wide range of ecological models), and fast variation. The theoretical studies presented here provide examples of the rich range of outcomes that may arise due to temporal variability in spatially heterogeneous landscapes.