Abstract

PLATA PEREZ, Leobardo Pedro; RANGEL SANCHEZ, Noraima Eréndira  and  GONZALEZ RAMIREZ, Pedro Isidoro. Dynamic optimization applied to the San Luis Potosi aquifer. Ens. Rev. econ. [online]. 2022, vol.41, n.2, pp.135-168.  Epub Mar 10, 2023. ISSN 2448-8402.  https://doi.org/10.29105/ensayos41.2-2.

Optimal control theory is used to determine the level of water extraction, from an aquifer, in a rational way. The exploitation of the aquifer generates a net social benefit that represents the objective function. The benefit involves the demand and the costs of supplying water. The restriction represents the dynamics of the amount of water in the aquifer, depending on the levels of extraction and recharge. The model is calibrated with data on the 2411 aquifer of San Luis Potosi. Empirical information on water consumption of the population belonging to the metropolitan area of the state capital. The initial condition is left as a parameter in order to study the possibility of both an interior solution or a corner solution. The optimum interior recommends an extraction level of 42.854 thousand cubic meters and a price of 0.00003658 pesos per cubic meter of water. The aquifer is currently highly overexploited. To maintain the sustainability of the aquifer, it is recommended to review the tariff regulations and improve the micro measurement of consumption to build a more accurate model.

Keywords : D24; C51; C61; Q21; Q25; Optimal water extraction; Aquifer management; Dynamic optimization; Demand for water; Water extraction costs; Pricing; San Luis Potosi.

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