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Some Applications of Structured Models in Population Dynamics

  • Chapter
Applied Mathematical Ecology

Part of the book series: Biomathematics ((BIOMATHEMATICS,volume 18))

Abstract

It is now a well-known fact that age or size structure often affects qualitative changes in the dynamics of population models (see Nisbet and Gurney in Mathematical Ecology. An Introduction, eds. T.G. Hallam and S.A. Levin 1986). However the incorporation of age or size structure leads to infinite dimensional dynamical systems that are difficult to analyze. Furthermore, in some cases increased detail may reduce predictive capability because of problem of parameter estimation and error propagation. Because of this difficulty, what I call the “science of biological aggregation” has responded with systematic attempts to develop models of reduced mathematical complexity that do not sacrifice biological realism. In many instances, a minimal level of detail is required; further aggregation results in the loss of vital information and may lead to erroneous conclusions. Successful simplified realistic models have to be less aggregated.

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Authors
  1. Carlos Castillo-Chavez
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Editors and Affiliations

  1. Section of Ecology and Systematics and Environmental Research Center, Cornell University, Ithaca, NY, 14853-0239, USA

    Simon A. Levin

  2. Department of Mathematics and Graduate Program in Ecology, University of Tennessee, Knoxville, TN, 37996-1300, USA

    Thomas G. Hallam  & Louis J. Gross  & 

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© 1989 Springer-Verlag Berlin Heidelberg

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Castillo-Chavez, C. (1989). Some Applications of Structured Models in Population Dynamics. In: Levin, S.A., Hallam, T.G., Gross, L.J. (eds) Applied Mathematical Ecology. Biomathematics, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61317-3_19

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  • DOI: https://doi.org/10.1007/978-3-642-61317-3_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64789-5

  • Online ISBN: 978-3-642-61317-3

  • eBook Packages: Springer Book Archive

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