Continuous Structured Population Models for Daphnia magna

Bull Math Biol. 2017 Nov;79(11):2627-2648. doi: 10.1007/s11538-017-0344-8. Epub 2017 Sep 15.

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.

Keywords: Continuous structured population models; Generalized least squares; Information content; Inverse problems; Model selection; Residual plots.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Animals
  • Computer Simulation
  • Confidence Intervals
  • Daphnia / growth & development*
  • Daphnia / physiology
  • Female
  • Fertility
  • Food
  • Least-Squares Analysis
  • Male
  • Mathematical Concepts
  • Models, Biological*
  • Population Dynamics