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

• Autor(a) principal: Morais, J. V.
• Data de Publicação: 2019
• Outros Autores: Custódio, A. L., Marques, G. M.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10362/98798
• topic: Constrained optimization; Directional Direct-Search methods; Dynamic Energy Budget theory; Nelder–Mead Simplex algorithm; Modelling and Simulation; Agricultural and Biological Sciences (miscellaneous); Applied Mathematics

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.