The Geometry of Ecological Interactions: Simplifying Spatial Complexity

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.

"IIASA."

Machine derived contents note: 1. Introduction Richard Law, Ulf Dieckmann and J.A.J. Metz -- Part I. Empirical and Statistical Background: 2. A neighbourhood view of interactions among individual plants Peter Stoll and Jacob Weiner -- 3. Spatial interactions among grassland plant populations Jonathan Silvertown and Bastow Wilson -- 4. Spatio-temporal patterns in grassland communities Tomás Herben, Heinjo During and Richard Law -- 5. Statistical modelling and analysis of spatial patterns David Cox, Valerie Isham and Paul Northrop -- Part II. When the Mean-Field Approximation Breaks Down: 6. Grid-based models as tools for ecological research Christian Wissel -- 7. Coexistence of replicators in prebiotic evolution Tamas Czárán and Eörs Szathmáry -- 8. Games on grids Martin Nowak and Karl Sigmund -- 9. The interplay between reaction and diffusion Mikael Cronhjort -- 10. Spirals and spots: novel evolutionary phenomena through spatial self-structuring Maarten Boerlijst -- 11. The role of space in reducing predator-prey cycles Vincent Jansen and Andre -- de Roos -- Part III. Simplifying Spatial Complexity: Examples: 12. Spatial scales and low-dimensional deterministic dynamics Howard Wil…