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Session S15 - Mathematics of Planet Earth

Tuesday, July 20, 19:00 ~ 19:25 UTC-3

On the set of robust sustainable thresholds

Pedro Gajardo

Universidad Técnica Federico Santa María, Chile   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In natural resource management, or more generally in the study of sustainability issues, the objective often consists of maintaining the state of a given system within a desirable configuration, typically established in terms of standards or thresholds. For instance, in fisheries management, the procedure for designing policies may include maintaining the spawning stock biomass over a precautionary threshold and ensuring minimal catches. With the evolution of some natural resources, under the action of controls and uncertainties, being represented by a dynamical system in discrete time, the aim of our work was to characterize the set of robust sustainable thresholds. That is, the thresholds for which there exists a trajectory satisfying, for all possible uncertainty scenarios, prescribed constraints parametrized by such thresholds. This set provides useful information to users and decision-makers, illustrating the tradeoffs between constraints. Using optimal control, maximin and level-set approaches, we characterize the weak Pareto front of the set of robust sustainable thresholds and derive a numerical method for computing the entire set.

Joint work with Cristopher Hermosilla (Universidad Técnica Federico Santa María, Chile) and Athena Picarelli (Università di Verona, Italy).

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