# Mathematical and statistical formulation of an ecological model with applications

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 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Ecological Modelling Elsevier

# Mathematical and statistical formulation of an ecological model with applications

Ecological Modelling, Volume 101 (1) – Aug 1, 1997
14 pages

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Publisher
Elsevier
Copyright
Copyright © 1997 Elsevier Ltd
ISSN
0304-3800
eISSN
1872-7026
D.O.I.
10.1016/S0304-3800(97)01946-7
Publisher site
See Article on Publisher Site

### Abstract

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.

### Journal

Ecological ModellingElsevier

Published: Aug 1, 1997

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