Calibration of parameters in Dynamic Energy Budget models using Direct-Search methods

J. V. Morais, A. L. Custódio, G. M. Marques

Research output: Contribution to journalArticle

2 Citations (Scopus)
1 Downloads (Pure)

Abstract

Dynamic Energy Budget (DEB) theory aims to capture the quantitative aspects of metabolism at the individual level, for all species. The parametrization of a DEB model is based on information obtained through the observation of natural populations and experimental research. Currently the DEB toolbox estimates these parameters using the Nelder–Mead Simplex method, a derivative-free direct-search method. However, this procedure presents some limitations regarding convergence and how to address constraints. Framed in the calibration of parameters in DEB theory, this work presents a numerical comparison between the Nelder–Mead Simplex method and the SID-PSM algorithm, a Directional Direct-Search method for which convergence can be established both for unconstrained and constrained problems. A hybrid version of the two methods, named as Simplex Directional Direct-Search, provides a robust and efficient algorithm, able to solve the constrained optimization problems resulting from the parametrization of the biological models.

Original languageEnglish
Pages (from-to)1439-1458
Number of pages20
JournalJournal Of Mathematical Biology
Volume78
Issue number5
DOIs
Publication statusPublished - 1 Apr 2019

Keywords

  • Constrained optimization
  • Directional Direct-Search methods
  • Dynamic Energy Budget theory
  • Nelder–Mead Simplex algorithm

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