Article ID Journal Published Year Pages File Type
7356312 Journal of Applied Economics 2011 22 Pages PDF
Abstract
This paper utilizes the geometric techniques developed in Khan and Mitra (2005, 2007) to analyze the optimal intertemporal allocation of water resources in a dynamic setup without discounting. The framework features two sectors: the first uses labor to purify water, while the second uses labor and purified water for irrigation to produce an agricultural consumption good. Purified water can also be used as potable water for drinking purposes. The planner allocates the available factors of production between the two sectors every period, and determines the optimal amounts of purified water, potable water, and irrigation water. The geometry characterizes the optimal path depending on whether the irrigation sector is more labor intensive than the purification sector. When the irrigation sector is labor intensive, the optimal path is a non converging cycle around the golden rule stock of purified water, while if the purification sector is labor intensive, there is a damped cyclical convergence to the golden rule stock.
Related Topics
Social Sciences and Humanities Economics, Econometrics and Finance Economics and Econometrics
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