TY - BOOK AU - Dieckmann,Ulf AU - Law,R. AU - Metz,J.A.J. ED - International Institute for Applied Systems Analysis, TI - The geometry of ecological interactions: simplifying spatial complexity T2 - Cambridge studies in adaptive dynamics SN - 9780511525537 (ebook) AV - QH541.15.S62 G46 2000 U1 - 577/.01/51 21 PY - 2000/// CY - Cambridge PB - Cambridge University Press KW - Spatial ecology KW - Mathematical models N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 1; Introduction; Richard Law, Ulf Dieckmann and Johan A.J. Metz --; A; Empirical and Statistical Background: A Plant Ecological Perspective; 2; A Neighborhood View of Interactions among Individual Plants; Peter Stoll and Jacob Weiner; 3; Spatial Interactions among Grassland Plant Populations; Jonathan Silvertown and J. Bastow Wilson; 4; Spatio-temporal Patterns in Grassland Communities; Tomas Herben, Heinjo J. During and Richard Law; 5; Statistical Modeling and Analysis of Spatial Patterns; David R. Cox, Valerie Isham and Paul Northrop --; B; When the Mean-field Approximation Breaks Down; 6; Grid-based Models as Tools for Ecological Research; Christian Wissel N2 - The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory UR - https://doi.org/10.1017/CBO9780511525537 ER -