Collective management of environmental commons with multiple usages: A guaranteed viability approach

Isabelle Alvarez (1, 2, 3) , Laetitia Zaleski (4, 5) , Jean-Pierre Briot (4) , Marta de Azevedo Irving (6, 7)

1 UR LISC - Laboratoire d'ingénierie pour les systèmes complexes
2 ISC-PIF - Institut des Systèmes Complexes - Paris Ile-de-France
3 MIA Paris-Saclay - Mathématiques et Informatique Appliquées
4 SMA - Systèmes Multi-Agents
5 Ambassage de France à Tokyo
6 IP - Instituto de Psicologia
7 UFRJ - Universidade Federal do Rio de Janeiro [Brasil] = Federal University of Rio de Janeiro [Brazil] = Université fédérale de Rio de Janeiro [Brésil]

In this paper we address the collective management of environmental commons with multiple usages in the framework of the mathematical viability theory. We consider that the stakeholders can derive from the study of their own socioeconomic problem the variables describing their different usages of the commons and its evolution, and a representation of the desirable states for the commons. We then consider the guaranteed viability kernel, subset of the set of desirable states where it is possible to maintain the state of the commons even when its evolution is represented by several conflicting models. This approach is illustrated on a problem of lake eutrophication .

Mots clés: Viability theory; Guaranteed viability; Collaborative decision; Environmental commons; Lake eutrophication

Mots clés: Théorie de la viabilité; Viabilité garantie; Décision collaborative; Biens communs envionnementaux; Eutrophisation des lacs

Domaines: Optimisation et contrôle [math.OC]; Système multi-agents [cs.MA]; Sciences de l'environnement

Isabelle Alvarez, Laetitia Zaleski, Jean-Pierre Briot, Marta de Azevedo Irving. Collective management of environmental commons with multiple usages: A guaranteed viability approach. Ecological Modelling, 2023, 475, pp.110186. ⟨10.1016/j.ecolmodel.2022.110186⟩. ⟨hal-03296890v3⟩