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The Geometry of Ecological Interactions : Simplifying Spatial Complexity - Ulf Dieckmann

The Geometry of Ecological Interactions

Simplifying Spatial Complexity

By: Ulf Dieckmann (Editor), Richard Law (Editor), Johan A. J. Metz (Editor)

Hardcover Published: 3rd July 2000
ISBN: 9780521642941
Number Of Pages: 580

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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.

'... a valuable text for graduate students and researchers in ecology ...'. Monatshefte fur Mathematik

Introduction
Empirical and Statistical Background
A neighbourhood view of interactions among individual plants
Spatial interactions among grassland plant populations
Spatio-temporal patterns in grassland communities
Statistical modelling and analysis of spatial patterns
When the Mean-Field Approximation Breaks Down
Grid-based models as tools for ecological research
Coexistence of replicators in prebiotic evolution
Games on grids
The interplay between reaction and diffusion
Spirals and spots: novel evolutionary phenomena through spatial self-structuring
The role of space in reducing predator-prey cycles
Simplifying Spatial Complexity: Examples
Spatial scales and low-dimensional deterministic dynamics
Lattice models and pair-approximation in ecology
Moment approximations of individual-based models
Evolutionary dynamics in spatial host-pathogen systems
Foci, small and large: a specific class of biological invasion
Wave patterns in spatial games and the evolution of cooperation
Simplifying Spatial Complexity: Techniques
Pair approximations for lattice-based ecological models
Pair approximations for different spatial geometries
Moment methods for ecological processes in continuous space
Relaxation projections and the method of moments
Methods for reaction-diffusion models
The dynamics of invasion waves
Epilogue
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521642941
ISBN-10: 0521642949
Series: Cambridge Studies in Adaptive Dynamics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 580
Published: 3rd July 2000
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 3.66
Weight (kg): 1.02