Community Ecology
Volume/Issue:
Volume 1: Issue 2
Support of the hyperbolic connectance hypothesis by qualitative stability of model food webs
Authors:
X. Chen Laboratory of Populations, Rockefeller University and Columbia University 1230 York Avenue, Box 20, New York, NY 10021-6399, USA

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X. Chen Laboratory of Populations, Rockefeller University and Columbia University 1230 York Avenue, Box 20, New York, NY 10021-6399, USA

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J. E. Cohen Laboratory of Populations, Rockefeller University and Columbia University 1230 York Avenue, Box 20, New York, NY 10021-6399, USA

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J. E. Cohen Laboratory of Populations, Rockefeller University and Columbia University 1230 York Avenue, Box 20, New York, NY 10021-6399, USA

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Pages:
215–225
Online Publication Date:
26 Jan 2006
Publication Date:
01 Jan 2001
Article Category:
Journal Article
DOI:
https://doi.org/10.1556/comec.1.2000.2.11
Keywords:
Local asymptotic stability; Local asymptotic stability; Local asymptotic stability; Lotka-Volterra cascade model; Qualitative global asymptotic stability
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Local stability analysis of dynamical models of interacting populations predicted that food web connectance (C) is proportional to 1/S where S is species richness. This .hyperbolic connectance hypothesis. was initially supported by analyses of documented food webs. This study shows that the qualitative global asymptotic stability of the Lotka-Volterra cascade model with a finite number of species predicts a relationship between connectance and species richness that agrees closely with the hyperbolic connectance hypothesis predicted from the analysis of local asymptotic stability. Moreover, the threshold of the qualitative global asymptotic stability in the Lotka-Volterra cascade model separates food webs in constant environments from those in fluctuating environments. The obvious discrepancy between the C-S relationship based on some recent data and that predicted by the dynamical models could be due to the selection of data.

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Cover Community Ecology
Community Ecology An Interdisciplinary Journal Reporting Progress in Community and Population Studies
Print ISSN:
1585-8553
Online ISSN:
1588-2756

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Community Ecology
Language English
Size A4
Year of
Foundation		 2000
Volumes
per Year		 1
Issues
per Year		 3
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 1585-8553 (Print)
ISSN 1588-2756 (Online)

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