The Geometry of Ecological Interactions: Simplifying Spatial Complexity Book

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 André 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 Régis 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.