The physical dimensions and biological meaning of the coefficients in the volterra competition equations and their consequences for the possibility of coexistence
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 32 (2):93-122 (1983)
Exact definitions in physical and biological terms of the coefficients in Volterra's (1926, 1931) original competition equations are indispensable for the understanding of the system. In agreement with Volterra's own, but not quite sufficient specifications, it is tried in this paper to give more precise definitions of the parameters used by Volterra. This leads to some consequences; i.a. that there does not exist a principle of competitive exclusion. In order to allow for competitive exclusion — or for stabilization — the Volterra equations need additional biophysical specifications and mathematical modifications. Some such modifications are proposed, for instance for aggressive interference as a function of population numbers.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Eva Sanchez, Pierre Auger & Rafael Bravo de la Parra (1997). Influence of Individual Aggressiveness on the Dynamics of Competitive Populations. Acta Biotheoretica 45 (3-4):321-333.
Peter Richerson, Homage to Malthus, Ricardo, and Boserup: Toward a General Theory of Population, Economic Growth, Environmental Deterioration, Wealth, and Poverty.
Michael Weisberg & Kenneth Reisman (2008). The Robust Volterra Principle. Philosophy of Science 75 (1):106-131.
Lonnie W. Aarssen (1984). On the Distinction Between Niche and Competitive Ability: Implications for Coexistence Theory. Acta Biotheoretica 33 (2):67-83.
Jean-Christophe Poggiale, Pierre Auger & Robert Roussarie (1995). Perturbations of the Classical Lotka-Volterra System by Behavioral Sequences. Acta Biotheoretica 43 (1-2):27-39.
I. Walker (1987). Compartmentalization and Niche Differentiation: Causal Patterns of Competition and Coexistence. Acta Biotheoretica 36 (4):215-239.
B. W. Kooi (2003). Numerical Bifurcation Analysis of Ecosystems in a Spatially Homogeneous Environment. Acta Biotheoretica 51 (3):189-222.
I. Walker (1993). Competition and Information. Acta Biotheoretica 41 (3):249-266.
M. Arrigoni & A. Steiner (1983). Square-Root Models for the Volterra Equations and the Explicit Solution of These Models. Acta Biotheoretica 32 (2):123-142.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #484,599 of 1,413,458 )
Recent downloads (6 months)1 ( #155,015 of 1,413,458 )
How can I increase my downloads?