The field of theoretical ecology has expanded dramatically in the past few years, while some of the most interesting work has been done using spatial models with stochasticity. This timely volume brings together the work of leading researchers working with this model and explores its role in the study of ecosystem dynamics. With its mathematically rigorous treatments, applications to real ecological problems, and proposals for extending the use of such modeling techniques in the future, this resource will be of great interest to all researchers in theoretical ecology, mathematical biology, and ecosystems analysis.