Towards Regulating Consumption in a Socio-hydrological Model for Groundwater Extraction

摘要

In this paper, we study the regulation problem for consumption in a mathematical model of groundwater extraction. The model combines the dynamics of the groundwater table with a recently introduced model of consumer behavior inspired from relevant studies in social psychology. After introducing the model, we formulate the moderation of groundwater withdrawal as an optimal control-theoretic problem. Different possibilities for the control objective are discussed and interpreted in the context of policy making for sustainable groundwater management. In the process, we also investigate the controllability of the process for an arbitrary number of agents under a fixed network topology. In the end, we present simulations of the LQR problem to demonstrate conformity of the model to the optimal control framework.