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 |
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creator | Usó-Domènech, J.L. 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. |
doi_str_mv | 10.1016/S0304-3800(97)01946-7 |
format | Article |
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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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