A new mathematical model capable to provide a detailed evaluation of the ecological state of an environmental system is here presented. The mathematical model consists in a set of ordinary differential equations. The state variable of the system is the so-called Biological Territorial Capacity. The analysis is performed at the scale of each biotope that is the patch of land cover with homogeneous vegetation. Since the model consists in a very large number of ODE, in order to implement numerical computations with a fast algorithm, an approximated solution procedure is proposed. Finally a study case with comparisons between different designs and plans of the territory under investigation is performed.
New developments and results for mathematical models in environment evaluations / F., Gobattoni; Groppi, Maria; R., Monaco; R., Pelorosso. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 1572-9036. - 132:(2014), pp. 321-331. [10.1007/s10440-014-9916-x]
New developments and results for mathematical models in environment evaluations
GROPPI, Maria;
2014-01-01
Abstract
A new mathematical model capable to provide a detailed evaluation of the ecological state of an environmental system is here presented. The mathematical model consists in a set of ordinary differential equations. The state variable of the system is the so-called Biological Territorial Capacity. The analysis is performed at the scale of each biotope that is the patch of land cover with homogeneous vegetation. Since the model consists in a very large number of ODE, in order to implement numerical computations with a fast algorithm, an approximated solution procedure is proposed. Finally a study case with comparisons between different designs and plans of the territory under investigation is performed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
