Dynamic optimization applied to the San Luis Potosi aquifer: Optimización dinámica aplicada al acuífero de San Luis Potosí

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 repr...

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Detalles Bibliográficos
Autores: Rangel Sánchez, Noraima E., Plata Perez, Leobardo Pedro, González Ramírez, Pedro I.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:México
Institución:UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN
Repositorio:Ensayos Revista de Economía
Idioma:español
OAI Identifier:oai:ensayos.uanl.mx:article/197
Acceso en línea:https://ensayos.uanl.mx/index.php/ensayos/article/view/197
Access Level:acceso abierto
Palabra clave:extracción óptima de agua
administración de acuíferos
optimización dinámica
demanda de agua
costos de extracción de agua
tarificación
San Luis Potosí
D24
C51
C61
Q21
Q25
Descripción
Sumario: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.