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

2019-04-01Artigo científico Acesso aberto
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dc.contributor.authorMorais, J. V.
dc.contributor.authorCustódio, A. L.
dc.contributor.authorMarques, G. M.
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.pblSpringer Science Business Media
dc.date.accessioned2020-06-03T10:26:13Z
dc.date.available2020-06-03T10:26:13Z
dc.date.issued2019-04-01
dc.description
dc.description.abstractDynamic 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.en
dc.description.versionauthorsversion
dc.description.versionpublished
dc.format.extent20
dc.format.extent739432
dc.identifier.doi10.1007/s00285-018-1315-x
dc.identifier.issn0303-6812
dc.identifier.otherPURE: 13511365
dc.identifier.otherPURE UUID: fc9ec2d8-32b6-47cd-bc81-83814b77b254
dc.identifier.otherScopus: 85058055792
dc.identifier.otherPubMed: 30523383
dc.identifier.otherWOS: 000463866000008
dc.identifier.urihttp://hdl.handle.net/10362/98798
dc.identifier.urlhttps://www.scopus.com/pages/publications/85058055792
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147204/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147329/PT
dc.subjectConstrained optimization
dc.subjectDirectional Direct-Search methods
dc.subjectDynamic Energy Budget theory
dc.subjectNelder–Mead Simplex algorithm
dc.subjectModelling and Simulation
dc.subjectAgricultural and Biological Sciences (miscellaneous)
dc.subjectApplied Mathematics
dc.titleCalibration of parameters in Dynamic Energy Budget models using Direct-Search methodsen
dc.typejournal article
degois.publication.firstPage1439
degois.publication.issue5
degois.publication.lastPage1458
degois.publication.titleJournal Of Mathematical Biology
degois.publication.volume78
dspace.entity.typePublication
oaire.awardNumberUID/MAT/00297/2013
oaire.awardNumberUID/EEA/50009/2013
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00297%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FEEA%2F50009%2F2013/PT
oaire.fundingStream5876
oaire.fundingStream5876
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublicationd9bab5fb-9f7c-4479-b4fd-4caf5303847c
relation.isProjectOfPublicationb9b0658a-062d-4f52-a886-e395383ed5d5
relation.isProjectOfPublication.latestForDiscoveryd9bab5fb-9f7c-4479-b4fd-4caf5303847c

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