Concentric framework for sustainability assessment

By means of a hypergraph, we study the resilience and the connectivity of a socio-ecological system (SES), which takes the form of a concentric diagram reflecting strong sustainability. The structure is subjected to dynamics of spread of a global reform. The model outcomes reveal that, in the concentric representation of sustainability, the environmental layer is endowed with the maximum magnitude of efficiency of the knock-on effect. The existence of risk of reform abrogation prevents the equilibrium density of reformed nodes from reaching stationarity. The numerical simulation results confirm that the environmental layer is the most efficient when it comes to launching a reform through a small number of nodes. They also show that connectivity between all types of elements is most fairly valued from the environmental perspective.