Numéro spécial : Statistique pour les données spatiales et spatio-temporelles et réseau RESSTE
Application of satellite image to the implementation of two stochastic models for modeling the transport of chlorophyll-a on Lake Valencia (Venezuela)
[Application des images satellitales à la mise en œuvre de deux modèles stochastiques pour modéliser le transport de chlorophylle-a sur le Lac de Valence du Venezuela]
Journal de la société française de statistique, Tome 158 (2017) no. 3, pp. 35-61.

Dans cet article deux méthodes de diffusion de particules sont proposés pour modéliser le transport de polluants à la surface du Lac de Valencia (Venezuela). Les deux méthodes utilisent comme champ de vitesses sur la surface du lac les solutions de l’équation de Saint-Venant. Ces deux procédures sont comparées à l’aide d’une simulation de Monte Carlo. De plus, et comme une nouveauté, un algorithme qui utilise l’information obtenue d’une image satellite est construit pour générer les positions initiales des particules.

In this article, two statistical methods of diffusion of particles are proposed for modeling the transport of pollutants in Lake Valencia (Venezuela). Both methods use as velocity field on the lake surface solutions of the Saint-Venant equations. The two procedures are compared through Monte Carlo simulation. Furthermore, as a novelty an algorithm to randomly generate the initial positions of the particles using information obtained from a satellite image is designed.

Keywords: diffusion of particles, random flight, contamination of water surface, Saint-Venant equations, satellite image
Mot clés : diffusion de particules, vol aléatoire, pollution de surface d’eau, équation de Saint-Venant, image de satellite 
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     title = {Application of satellite image to the implementation of two stochastic models for modeling the transport of chlorophyll-a on {Lake} {Valencia} {(Venezuela)}},
     journal = {Journal de la soci\'et\'e fran\c{c}aise de statistique},
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Valera-López, Maira; Pineda, Angie; León, José R. Application of satellite image to the implementation of two stochastic models for modeling the transport of chlorophyll-a on Lake Valencia (Venezuela). Journal de la société française de statistique, Tome 158 (2017) no. 3, pp. 35-61. http://archive.numdam.org/item/JSFS_2017__158_3_35_0/

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