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A. By, E. , G. , and S. Electric, ACKNOWLEDGMENT This research was supported by the Chair Modeling for sustainable development, driven by MINES ParisTech, Ecole des Ponts ParisTech, and AgroParisTech Contact Nadia MAÏZI Directrice du Centre de Mathématiques Appliquées (CMA) MINES ParisTech / CMA Rue Claude Daunesse, pp.33-97