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The Geometry of Ecological Interactions
Simplifying Spatial Complexity

AUD$94.95 inc GST

Part of Cambridge Studies in Adaptive Dynamics

Richard Law, Ulf Dieckmann, J. A. J. Metz, Peter Stoll, Jacob Weiner, Jonathan Silvertown, Bastow Wilson, Tomás Herben, Heinjo During, David Cox, Valerie Isham, Paul Northrop, Christian Wissel, Tamas Czárán, Eörs Szathmáry, Martin Nowak, Karl Sigmund, Mikael Cronhjort, Maarten Boerlijst, Vincent Jansen, André de Roos, Howard Wilson, Matthew Keeling, Yoh Iwasa, Jan-Carel Zadoks, Régis Ferriere, Rick Michod, Kazunori Sato, Yoh Iwasa, Minus van Baalen, Benjamin Bolker, Steven Pacala, Simon Levin, Vivian Hutson, Glen Vickers, Denis Mollison, Frank van den Bosch
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  • Date Published: November 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521022095

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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.

    • Cutting edge material; brand-new developments in modelling and theoretical biology
    • Stellar list of contributors
    • First in new series developing exciting new field of adaptive dynamics
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    Reviews & endorsements

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

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    Product details

    • Date Published: November 2005
    • format: Paperback
    • isbn: 9780521022095
    • length: 580 pages
    • dimensions: 230 x 153 x 34 mm
    • weight: 0.871kg
    • contains: 148 b/w illus. 13 tables
    • availability: Available
  • Table of Contents

    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.

  • Editors

    Ulf Dieckmann, International Institute for Applied Systems Analysis, Austria

    Richard Law, University of York

    Johan A. J. Metz, Rijksuniversiteit Leiden, The Netherlands

    Contributors

    Richard Law, Ulf Dieckmann, J. A. J. Metz, Peter Stoll, Jacob Weiner, Jonathan Silvertown, Bastow Wilson, Tomás Herben, Heinjo During, David Cox, Valerie Isham, Paul Northrop, Christian Wissel, Tamas Czárán, Eörs Szathmáry, Martin Nowak, Karl Sigmund, Mikael Cronhjort, Maarten Boerlijst, Vincent Jansen, André de Roos, Howard Wilson, Matthew Keeling, Yoh Iwasa, Jan-Carel Zadoks, Régis Ferriere, Rick Michod, Kazunori Sato, Yoh Iwasa, Minus van Baalen, Benjamin Bolker, Steven Pacala, Simon Levin, Vivian Hutson, Glen Vickers, Denis Mollison, Frank van den Bosch

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