Table of contents

  1. Front Matter
    Pages i-xx
  2. Akira Okubo, Simon A. Levin
    Pages 10-30
  3. Akira Okubo, Josef Daniel Ackerman, Dennis P. Swaney
    Pages 31-106
  4. Akira Okubo, Robert A. Armstrong, Jeannette Yen
    Pages 107-126
  5. Akira Okubo, Daniel Grünbaum
    Pages 127-169
  6. Akira Okubo, Peter Kareiva
    Pages 170-196
  7. Akira Okubo, Daniel Grünbaum, Leah Edelstein-Keshet
    Pages 197-237
  8. Akira Okubo, Louis Gross
    Pages 238-267
  9. Akira Okubo, James G. Mitchell
    Pages 268-297
  10. Akira Okubo, Alan Hastings, Thomas Powell
    Pages 298-373
  11. Akira Okubo, Simon A. Levin
    Pages 470-470
  12. Back Matter
    Pages 374-469

About this book


This substantially expanded and updated version of the classic 1980 book by the late Akira Okubo traces the developments that have flowed from the original work, building on detailed notes he left for revision. The first edition was a comprehensive treatment of the use of diffusion models in ecology that integrated rigorous mathematical theory and substantive applications. Enormous in scope, covering a wide variety of topics and including models of spread, critical patch size, and grouping, it has remained one of the most popular books in mathematical biology and has stimulated extensive research in the two decades since its publication. In this volume, friends and disciples of Okubo incorporate a wide range of results from their own fields that build upon the framework he first established.


Biomathematics Ecology biophysics diffusion models ecosystem ecosystems mathematics

Authors and affiliations

  • Akira Okubo
  • Simon A. Levin
    • 1
  1. 1.Department of Ecology and Evolutionary BiologyPrinceton UniversityPrincetonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3151-1
  • Online ISBN 978-1-4757-4978-6
  • Series Print ISSN 0939-6047
  • Buy this book on publisher's site