Abstract
When population is increasing, characterizing the optimal water consumption path is complicated by the fact that the underlying dynamics of the water stock is contingent on the level of the stock itself. We propose a method of constructing the optimal path in this case. Since population is increasing, the optimal consumption path may involve refraining at times from consuming the totality of the surface water flow in order to restock in groundwater for future consumption. The aquifer then serves as a means to achieve welfare increasing intertemporal transfers of surface water. Therefore the aquifer itself, as distinct from the stock of water it serves to store, may have value and the marginal valuation of water when groundwater stocks are being drawn upon should, for this reason, differ at times from the marginal valuation of water when it is drawn strictly from surface water.
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References
J.-P. Amigues, G. Gaudet and M. Moreaux, Principes de valorisation d'une ressource semi-renouvelable: Elements pour une tarification rationnelle de l'usage de l'eau, Cahier no. 92.23.270, CREMAQ, Université de Toulouse (1992).
O.R. Burt, The economics of conjuctive use of ground and surface water, Hilgardia 36 (1964) 31–111.
O.R. Burt, Optimal resource use over time with an application to groundwater, Management Science 11 (1964) 80–93.
P.A. Domenico, D.V. Anderson and C.M. Case, Optimal groundwater mining, Water Resources Research 4 (1968) 247–255.
D. Gale, On optimal development in a multi-sector economy, Review of Economic Studies 34 (1967) 1–18.
M. Gisser, Groundwater: focusing on the real issue, Journal of Political Economy 91 (1983) 1001–1027.
T.C. Koopmans, Intertemporal distribution and ‘optimal’ aggregate economic growth, in: Ten Economic Studies in the Tradition of Irving Fisher, ed. W.J. Fellner (Wiley, New York, 1967) pp. 95–126.
D.H. Negri, The common property aquifer as a differential game, Water Resources Research 24 (1989) 9–15.
B. Provencher and O. Burt, The externalities associated with the common property exploitation of groundwater, Journal of Environmental Economics and Management 24 (1993) 139–158.
S.J. Rubio, C. Martinez and J.P. Castro, Optimal management of groundwater with increasing demand, Working Paper No. 675, Department of Agricultural and Resource Economics, University of California, Berkeley (1993).
A. Seierstad and K. Sydsaeter, Optimal Control Theory with Economic Applications (North-Holland, Amsterdam, 1987).
Y. Tsur and T. Graham-Tomasi, The buffer value of groundwater with stochastic surface water supplies, Journal of Environmental Economics and Management 21 (1991) 201–224.
H. Varian, Microeconomic Analysis, 2nd ed. (W.W. Norton, New York, 1984).
P.F. Verhulst, Notice sur la loi que la population suit dans son accroissement, Correspondance Mathématique et Physique 10 (1838) 113–121.
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Amigues, J., Gaudet, G. & Moreaux, M. Rational pricing of groundwater with a growing population. Environmental Modeling & Assessment 2, 323–331 (1997). https://doi.org/10.1023/A:1019073714009
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DOI: https://doi.org/10.1023/A:1019073714009