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• W2008653434 abstract "We present a mechanistic underpinning for various discrete-time population models that can produce limit cycles and chaotic dynamics. Specific examples include the discrete-time logistic model and the Hassell model, which for a long time eluded convincing mechanistic interpretations, and also the Ricker- and Beverton-Holt models. We first formulate a continuous-time resource consumption model for the dynamics within a year, and from that we derive a discrete-time model for the between-year dynamics. Without influx of resources from the outside into the system, the resulting between-year dynamics is always overcompensating and hence may produce complex dynamics as well as extinction in finite time. We recover a connection between various standard types of continuous-time models for the resource dynamics within a year on the one hand and various standard types of discrete-time models for the population dynamics between years on the other. The model readily generalizes to several resource and consumer species as well as to more than two trophic levels for the within-year dynamics." @default.
• W2008653434 created "2016-06-24" @default.
• W2008653434 creator A5018233522 @default.
• W2008653434 creator A5089592214 @default.
• W2008653434 date "2004-05-01" @default.
• W2008653434 modified "2023-10-14" @default.
• W2008653434 title "On the mechanistic underpinning of discrete-time population models with complex dynamics" @default.
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• W2008653434 doi "https://doi.org/10.1016/j.jtbi.2004.01.003" @default.
• W2008653434 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/15094020" @default.
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