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Seasonality, Climate Cycles and Body Size Evolution

T. A. TroostJ. A. van DamB. W. KooiE. Tuenter — 2009

Mathematical Modelling of Natural Phenomena

The seasonality hypothesis states that climates characterized by large annual cycles select for large body sizes. In order to study the effects of seasonality on the evolution of body size, we use a model that is based on physiological rules and first principles. At the ecological time scale, our model results show that both larger productivity and seasonality may lead to larger body sizes. Our model is the first dynamic and process-based model to support the seasonality hypothesis and hence...

Feeding Threshold for Predators Stabilizes Predator-Prey Systems

D. BontjeB. W. KooiG. A.K. van VoornS.A.L.M Kooijman — 2009

Mathematical Modelling of Natural Phenomena

Since Rosenzweig showed the destabilisation of exploited ecosystems, the so called , several mechanisms have been proposed to resolve this paradox. In this paper we will show that a feeding threshold in the functional response for predators feeding on a prey population stabilizes the system and that there exists a minimum threshold value above which the predator-prey system is unconditionally stable with respect to enrichment. Two models are analysed, the first being the classical Rosenzweig-MacArthur...

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