Persistence and stability of seed-dispersed species in a patchy environment

D. L. DeAngelis, C. C. Travis, W. M. Post

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

A mathematical model is developed for the dynamics of seed-dispersed tree species in a region of forest patches or islands. The relevant variables are the population numbers of individual species populations on each patch. A model that considers only one tree species (of the many present) in a region of N distinct patches is formally analogous to a model of an N-species mutualistic community. Using the theory of M-matrices, which has been successfully applied to mutualistic communities, criteria for persistence and stability of the species are derived. The model is then extended to a community of L species that interact competitively and mutualistically in an N-island region. The possibilities of obtaining numerical parameters for the models are discussed.

Original languageEnglish
Pages (from-to)107-125
Number of pages19
JournalTheoretical Population Biology
Volume16
Issue number2
DOIs
StatePublished - Jan 1 1979

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Islands
Seeds
persistence
seed
seeds
Population
Theoretical Models
mathematical models
matrix
Forests

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Persistence and stability of seed-dispersed species in a patchy environment. / DeAngelis, D. L.; Travis, C. C.; Post, W. M.

In: Theoretical Population Biology, Vol. 16, No. 2, 01.01.1979, p. 107-125.

Research output: Contribution to journalArticle

DeAngelis, D. L. ; Travis, C. C. ; Post, W. M. / Persistence and stability of seed-dispersed species in a patchy environment. In: Theoretical Population Biology. 1979 ; Vol. 16, No. 2. pp. 107-125.
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