This communication aims at discussing the different management theories that could be used in order to define and implement ecological networks in Guadeloupe (FWI), known in France as « green and blue infrastructure » or "trame verte et bleue TVB". For several reasons, the adaptive management theory is seen as relevant to analyze the social and political processes to define, implement and manage the TVB. May it be, we demonstrate that it is not sufficient. Small islands question singularly the adaptive governance as they further reveal its limits. Other management theory has to beintroduced. To reach this conclusion we will first make a literature review of adaptive managementand governance. Then, we will present specificities of social and political characteristics of Guadeloupe through the proximity and illeity theory as through scientific literature and empiricalobservations. Finally, in the last part, we will propose a complementary management theory that focuses more on strategic aspects of management activities.