The Role of Transient Dynamics in Population and Community Ecology

Alan Hastings

Dept. of Environmental Science & Policy, Univ. of California, Davis, USA

Abstract

For many years, studies of dynamics in population and community ecology have focussed on the long term or asymptotic dynamics of the models. Most models of food webs, or species persistence, for example, have focussed on determining the presence of stable attractors. Even studies of highly nonlinear ecological models have focussed on asymptotic behavior. In contrast, metapopulation models, by their very nature, have focussed on dynamics which are transient at the level of the single patch. In this talk I will present results on both spatially structured models, and on models of simple food webs which demonstrate that our understanding of natural communities will require a detailed focus on transient dynamics of models. I will discuss general conditions from a biological point of view which will likely lead to transient dyanmics. I will also discuss the role of stochasticity in generating transient dynamics, and the approaches we need to use to relate models which exhibit transient dynamics to natural populations and communities.