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

摘要

Abstract: In this paper，we study the regulation problem for consumption in a mathematical modelof groundwater extraction. The model combines the dynanics of the groundwater tablewith a recently introduced model of consumer behavior inspired from relevant studies insocial psychology.After introducing the model, we formulate the moderation of groundwaterwithdrawal as an optimal control-theoretic problem. Different possibilities for the controlobjective are discussed and interpreted in the context of policy making for sustainablegroundwater management. In the process，we also investigate the controllability of the processfor an arbitrary number of agents under a fixed network topology. In the end,we presentsimulations of the LQR problem to demonstrate conformity of the model to the optimal controlframework.