1. The bijection from data to parameter space with the standard deb model quantifies the supply-demand spectrum
- Author
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Konstadia Lika, Starrlight Augustine, Laure Pecquerie, Sebastiaan A.L.M. Kooijman, Laboratoire des Sciences de l'Environnement Marin (LEMAR) (LEMAR), Institut de Recherche pour le Développement (IRD)-Institut Français de Recherche pour l'Exploitation de la Mer (IFREMER)-Université de Brest (UBO)-Institut Universitaire Européen de la Mer (IUEM), Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), Institut de Recherche pour le Développement (IRD), and Theoretical Life Sciences
- Subjects
Statistics and Probability ,Dynamic energy budget ,media_common.quotation_subject ,Metabolic up-regulation ,Biology ,Parameter space ,Models, Biological ,General Biochemistry, Genetics and Molecular Biology ,Supply and demand ,Add_my_pet collection ,Statistics ,Animals ,up-regulation ,Metamorphosis ,Add\ₘy\ₚet collection ,media_common ,Dynamic energy budget theory ,General Immunology and Microbiology ,Estimation theory ,Efficient algorithm ,Ecology ,ACL ,Applied Mathematics ,Evolutionary constraints ,General Medicine ,Data point ,Elasticity coefficients ,Modeling and Simulation ,Bijection ,Metabolic ,[SDE.BE]Environmental Sciences/Biodiversity and Ecology ,Energy Metabolism ,General Agricultural and Biological Sciences - Abstract
International audience; The standard Dynamic Energy Budget (DEB) model assumes that food is converted to reserve and a fraction kappa of mobilised reserve of an individual is allocated to somatic maintenance plus growth, while the rest is allocated to maturity maintenance plus maturation (in embryos and juveniles) or reproduction (in adults). The add\ₘy\ₚet collection of over 300 animal species from most larger phyla, and all chordate classes, shows that this model fits energy data very well. Nine parameters determine nine data points at abundant food: dry/wet weight ratio, age at birth, puberty, death, weight at birth, metamorphosis, puberty, ultimate weight and ultimate reproduction rate. We demonstrate that, given a few other parameters, these nine data points also determine the nine parameters uniquely that are independent of food availability: maturity at birth, metamorphosis and puberty, specific assimilation, somatic maintenance and costs for structure, allocation fraction of mobilised reserve to soma, energy conductance, and ageing acceleration. We provide an efficient algorithm for mapping between data and parameter space in both directions and found expressions for the boundaries of the parameter and data spaces. One of them quantifies the position of species in the supply-demand spectrum, which reflects the internalisation of energetic control. We link eco-physiological properties of species to their position in this spectrum and discuss it in the context of homeostasis. Invertebrates and ray-finned fish turn out to be close to the supply end of the spectrum, while other vertebrates, including cartilaginous fish, have stronger demand tendencies. We explain why birds and mammals up-regulate metabolism during reproduction. We study some properties of the bijection using elasticity coefficients. The properties have applications in parameter estimation and in the analysis of evolutionary constraints on parameter values; the relationship between DEB parameters and data has similarities to that between genotype and phenotype. (C) 2014 Elsevier Ltd. All rights reserved.
- Published
- 2014
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