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Continuous Structured Population Models for Daphnia magna

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Abstract

We continue our efforts in modeling Daphnia magna, a species of water flea, by proposing a continuously structured population model incorporating density-dependent and density-independent fecundity and mortality rates. We collected new individual-level data to parameterize the individual demographics relating food availability and individual daphnid growth. Our model is fit to experimental data using the generalized least-squares framework, and we use cross-validation and Akaike Information Criteria to select hyper-parameters. We present our confidence intervals on parameter estimates.

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Acknowledgements

This research was supported in part by the Air Force Office of Scientific Research under Grant Number AFOSR FA9550-15-1-0298, in part by the National Science Foundation under NSF Grant Number DMS-0946431, and in part by the EPA under US EPA STAR Grant RD-835165.

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Authors and Affiliations

  1. Department of Mathematics, Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC, 27695, USA

    Erica M. Rutter, H. T. Banks & Kevin B. Flores

  2. Department of Biological Sciences, North Carolina State University, Raleigh, NC, 27695, USA

    Gerald A. LeBlanc

Authors
  1. Erica M. Rutter
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  2. H. T. Banks
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  3. Gerald A. LeBlanc
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  4. Kevin B. Flores
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Corresponding author

Correspondence to Erica M. Rutter.

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Rutter, E.M., Banks, H.T., LeBlanc, G.A. et al. Continuous Structured Population Models for Daphnia magna . Bull Math Biol 79, 2627–2648 (2017). https://doi.org/10.1007/s11538-017-0344-8

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  • DOI: https://doi.org/10.1007/s11538-017-0344-8

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