PERSISTENCE AND STABILITY OF SEED-DISPERSED SPECIES IN A PATCHY ENVIRONMENT

被引:54
作者
DEANGELIS, DL
TRAVIS, CC
POST, WM
机构
[1] Environmental Sciences Division, Oak Ridge National Laboratory, Oak Ridge
基金
美国国家科学基金会;
关键词
D O I
10.1016/0040-5809(79)90008-X
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
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. © 1979.
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页码:107 / 125
页数:19
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