Mathematical and statistical formulation of an ecological model with applications

In many cases, modelling of ecosystems results from the setting up of a system of ordinary, non-linear differential equations whose flow variables are functions obtained from experimental data. In this paper we develop a new methodology based on choosing a set of functions so that we are able to adj...

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Veröffentlicht in:Ecological modelling 1997-08, Vol.101 (1), p.27-40
Hauptverfasser: Usó-Domènech, J.L., Mateu, J., Lopez, J.A.
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Mateu, J.
Lopez, J.A.
description In many cases, modelling of ecosystems results from the setting up of a system of ordinary, non-linear differential equations whose flow variables are functions obtained from experimental data. In this paper we develop a new methodology based on choosing a set of functions so that we are able to adjust their linear combination using multiple linear regression. Choosing these functions, however, implies the prior consideration of a finite set of analytical functions of ‘elementary type’ and then analyse their compositions up to an order n, which will be called ‘n-transformed’. These transformed functions are the ones which will then be adjusted. As an application of this new methodology the Mariola model is considered.
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ispartof Ecological modelling, 1997-08, Vol.101 (1), p.27-40
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source ScienceDirect Journals (5 years ago - present)
subjects Differential equations
ECOLOGIA
ECOLOGIE
ECOLOGY
ECOSISTEMA
ECOSYSTEME
ECOSYSTEMS
Flow equations
MODELE DE SIMULATION
MODELOS DE SIMULACION
SIMULATION MODELS
Statistical regression
title Mathematical and statistical formulation of an ecological model with applications
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