The Geometry of Ecological Interactions : Simplifying Spatial Complexity (Hardcover)

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 Tomas 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 Czaran and Eors Szathmary; 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 Wilson and Matthew Keeling; 13. Lattice models and pair-approximation in ecology Yoh Iwasa; 14. Moment approximations of individual-based models Richard Law and Ulf Dieckmann; 15. Evolutionary dynamics in spatial host-pathogen systems Matthew Keeling; 16. Foci, small and large: a specific class of biological invasion Jan-Carel Zadoks; 17. Wave patterns in spatial games and the evolution of cooperation Regis Ferriere and Rick Michod; Part IV. Simplifying Spatial Complexity: Techniques: 18. Pair approximations for lattice-based ecological models Kazunori Sato and Yoh Iwasa; 19. Pair approximations for different spatial geometries Minus van Baalen; 20. Moment methods for ecological processes in continuous space Benjamin Bolker, Steven Pacala and Simon Levin; 21. Relaxation projections and the method of moments Ulf Dieckmann; 22. Methods for reaction-diffusion models Vivian Hutson and Glen Vickers; 23. The dynamics of invasion waves Johan A. J. Metz, Denis Mollison and Frank van den Bosch; 24 Epilogue Johan A. J. Metz, Ulf Dieckmann and Richard Law; References; Index.