Methods for the Sustainable Rebuilding of Overexploited Natural Resources

In this paper, we introduce an approach based on viability theory for designing rebuilding programs for overexploited natural resources. Instead of using the so-called viability kernel, as is usual in the applications of viability theory, we consider the set of sustainable thresholds, which represents the constraints (parametrized by thresholds) that can be sustained from the current level of the resources under study over time. The recovery of the Southern hake in Chile is presented as an example to illustrate the proposed approach.