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Thanks are due to DDAF Martinique, ENESAD (Etablissement National d'Enseignement Supérieur Agronomique de Dijon) and Lise Jean-Louis for having provided the agricultural data, for stimulating discussions around our results, and for having authorized the publication of some of the results obtained. Thanks to Ahmed Ainouche for having pointed out the interest in minimizing submodular functions. Finally, the author wishes to thank Pedro Domingos and the reviewers for their valuable suggestions.

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