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Competition for Space and the Structure of Ecological Communities

This volume is an investigation of interspecific competition for space, particularly among sessile organisms, both plant and animal, and its consequences for community structure. While my own contribu­ tion ----and the bulk of this volume --- lies in mathematical analysis of the phenomenon, I have a...

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Bibliographic Details
Main Author: Yodzis, P.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1978, 1978
Edition:1st ed. 1978
Series:Lecture Notes in Biomathematics
Subjects:
Mathematics, General
Mathematics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Introduction
  • I.1. Competition for space.
  • I.2. Spatial competition and the niche.
  • I.3. Modelling competition for space.
  • I.4. Limitations of this study.
  • I.5. Colonization.
  • I.6. Preview.
  • II. Founder Controlled Communities
  • II.1. Colonization equilibria.
  • II.2. Stability.
  • II.3. Total standing crop.
  • II.4. Summary.
  • III. Dominance Controlled Communities
  • III.1. Numerical dominance and functional dominance.
  • III.2. The reshuffle.
  • III.3. Quasicycles and lotteries.
  • III.4. Equilibrium communities.
  • III.5. Invasion and succession.
  • III.6. Other forms of dispersa.
  • III.7. Summary.
  • IV. Harvesting
  • IV.1. Harvesting.
  • IV.2. The reshuffle.
  • IV.3. Influence of harvesting: theoretical.
  • IV.4. Species richness: observational.
  • IV.5. Disturbance.
  • IV.6. Summary.
  • V. Epilogue
  • V.1. Spatial competition and the niche reconsidered.
  • V.2. Species packing and the relation between plant and animal diversity.
  • V.3. Evolutionary considerations and the tropical rain forest.
  • Appendix A. Perturbation Theory
  • A.1. Perturbed equilibria.
  • A.2. Perturbed stability matrices.
  • A.2.1. Semisimple eigenvalues.
  • A.2.2. Existence of linear perturbations.
  • A.2.3. Calculation of linear perturbations.
  • A.3. Calculation of A.
  • A.3.1. Colonization equilibria.
  • A.3.2. Reshuffled equilibria.
  • Appendix B. Some Lotka-Volterra Formulae
  • B.1. One-species equilibria.
  • B.2. Two-species equilibria.
  • Appendix C. Harvesting and Two-Species Interactions
  • Author Index

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