The Allee Effect in Mechanistic Models Based on Inter-individual Interaction Processes
Recently, Eskola and Geritz (Bull. Math. Biol. 69:329–346, 2007) showed that several discrete-time population models can be derived mechanistically within a single ecological framework by varying the within-season patterns of reproduction and inter-individual aggression. However, these models do not have the Allee effect. In this paper, we modify the original modelling framework by adding different mate finding processes, and thus derive mechanistically several population models with the Allee effect.
KeywordsFirst-principles derivation Discrete-time population model Allee effect
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- Allee, W.C., 1931. Animal Aggregations, a Study in General Sociology. University of Chicago Press, Chicago. Google Scholar
- Allee, W.C., 1938. The Social Life of Animals. Heineman, London. Google Scholar
- Allee, W.C., Emerson, A., Park, T., Schmidt, K., 1949. Principles of Animal Ecology. Saunders, Philadelphia. Google Scholar
- Beverton, R.J.H., Holt, S.J., 1957. On the dynamics of exploited fish populations. Fisheries Investigations, Series 2, vol. 19. Google Scholar