This program is to analyze technical solutions, organizational, institutional and territorial implementation at the level of agricultural production systems to improve sustainability in areas facing small island so exacerbated global change and (ii ) to determine the limits. It is more precisely identify measures and practical adaptation options to support to sustain these agroecosystems.

The reality of island economies studied specifically brings to reformulate the terms of the debate on the sustainability of agriculture in light of the evolution of entanglement and global changes observed. Besides the fact that these areas are strongly affected by the impacts of global change and the urgency to act is pioneer fronts in terms of experience and transferable learning in terms of adaptation, they also learn about the concept of spatial scale relevant to define to implement these changes - or innovations - technical, organizational, institutional and territorial. Because of their small size, these spaces indeed offer a high degree of proximity between the scales of occurrence and resolution of problems. They thus constitute relevant territories for reasoning together on these scales. Because of their uniqueness, small island economies invite then examine the territorial dimension of adaptation. These case studies are as challenging as it is known that the impact of global changes is available locally in a differentiated way and few studies have been undertaken on the territorial aspects of adaptation (of Perthuis et al. , 2010).
We also emphasize the localized nature of the benefits of adaptation. Benefits from adaptation benefit certain sectors or industries and consequently the categories of actors who are stakeholders. Therefore they discriminate agents according to their place, their role, their social status.
It is therefore a reflection on the interaction between agricultural systems and socio-economic systems that we deliver. We will therefore analyze how the technical, organizational, institutional and regional companies own condition we study the adaptive capacities of existing production systems. What strategies defined and supported by the people in these territories they determine the viability of agricultural production systems and pathways resulting? What do these strategies and practices that underlie them? What systems of constraints they generate? At what point doiventelles these strategies be implemented? How and by whom?
All these issues will be through a thorough analysis of the sustainability of agro-ecosystems and agricultural sectors of the French Antilles and their adaptive capacity. In the areas studied, these questions are expressed in terms of choice of preferred speculation, ways of producing (individual approach) and channels to support (collaborative approach). They help to identify emerging issues around the revival of agriculture.
Adaptation of production systems - via changes both speculative choices that technical choices - aims to improve the sustainability and thereby reduce their vulnerability to global change. Depending on the configuration, the nature and extent of vulnerability vary. This would be offset by the benefits to productivity systems, the extent of productive land for building industries. This finding is observed in particular for productive alternatives to dominant productions, out of the environment, about which we assume they contain potentially viable more important than others.
To understand the sustainability of agroecosystems studied, we will rely on the mathematical theory of viability (Aubin and Frankowska, 1990 and 1996; Aubin et al., 2011). Specifically, the analysis of a system by this approach, so lets say, from an initial situation, there is at least a viable future and especially to provide decision rules that will help ensure that " sustainability. " Algorithms viability (Cardaliaguet et al., 2000; Cruck and Saint-Pierre, 2007; Aubin et al., 2004; etSaint Aubin-Pierre, 2007; Domenech et al., 2011; Durand et al., 2010) have developed respond numerically to the issues previously raised. During the last decade, significant efforts have been made to extend their ability to deal with problems of dimension higher and higher.
The analytical framework we propose will refine the qualitative and quantitative analysis of sustainable development of agricultural systems in the French Antilles from a corpus of data historiated and correlated factors (climatic, economic, etc.)..