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Rainwater Harvesting under Endogenous Capacity of Storage : a Solution to Aquifer Preservation

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  • Hubert Stahn
  • Agnès Tomini

Abstract

This paper studies groundwater management in the presence of rainwater harvesting (RWH). We propose a two-state model that takes into account the standard dynamics of the aquifer and the dynamics of the storage capacity and we assume that the collection of rainwater reduces the natural recharge. We analyze the trade-o¤ between these two water harvesting techniques in an optimal control model. In particular, we show that when these techniques are pure substitutes, the development of RWH leads in the long run to a depletion of the water table even if pumping is reduced. This result is illustrated by a numerical application for the Pecos river Bassin (New Mexico, USA).

Suggested Citation

  • Hubert Stahn & Agnès Tomini, 2015. "Rainwater Harvesting under Endogenous Capacity of Storage : a Solution to Aquifer Preservation," Annals of Economics and Statistics, GENES, issue 119-120, pages 209-234.
  • Handle: RePEc:adr:anecst:y:2015:i:119-120:p:209-234
    DOI: 10.15609/annaeconstat2009.119-120.209
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    File URL: http://www.jstor.org/stable/10.15609/annaeconstat2009.119-120.209
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    References listed on IDEAS

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    1. Phoebe Koundouri & Christina Christou, 2006. "Dynamic adaptation to resource scarcity and backstop availability: theory and application to groundwater ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 50(2), pages 227-245, June.
    2. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
    3. Darrell Krulce & James A. Roumasset & Tom Wilson, 1997. "Optimal Management of a Renewable and Replaceable Resource: The Case of Coastal Groundwater," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1218-1228.
    4. Bill Provencher, 1993. "A Private Property Rights Regime to Replenish a Groundwater Aquifer," Land Economics, University of Wisconsin Press, vol. 69(4), pages 325-340.
    5. Amigues, Jean-Pierre & Favard, Pascal & Gaudet, Gerard & Moreaux, Michel, 1998. "On the Optimal Order of Natural Resource Use When the Capacity of the Inexhaustible Substitute Is Limited," Journal of Economic Theory, Elsevier, vol. 80(1), pages 153-170, May.
    6. Knapp Keith C. & Olson Lars J., 1995. "The Economics of Conjunctive Groundwater Management with Stochastic Surface Supplies," Journal of Environmental Economics and Management, Elsevier, vol. 28(3), pages 340-356, May.
    7. Saak, Alexander E. & Peterson, Jeffrey M., 2007. "Groundwater use under incomplete information," Journal of Environmental Economics and Management, Elsevier, vol. 54(2), pages 214-228, September.
    8. Christian Lehmann & Raquel Tsukada & Acácio Lourete, 2010. "Low-Cost Technologies Towards Achieving the Millennium Development Goals: The Case of Rainwater Harvesting," Policy Research Brief 12, International Policy Centre for Inclusive Growth.
    9. Tsur, Yacov & Graham-Tomasi, Theodore, 1991. "The buffer value of groundwater with stochastic surface water supplies," Journal of Environmental Economics and Management, Elsevier, vol. 21(3), pages 201-224, November.
    10. Santiago Rubio & Begoña Casino, 2003. "Strategic Behavior and Efficiency in the Common Property Extraction of Groundwater," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(1), pages 73-87, September.
    11. Gisser, Micha, 1983. "Groundwater: Focusing on the Real Issue," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1001-1027, December.
    12. Hubert Stahn & Agnès Tomini, 2010. "A drop of rainwater against a drop of groundwater: does rainwater harvesting really allow us to spare Groundwater?," Working Papers halshs-00443667, HAL.
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    Cited by:

    1. Hubert Stahn & Agnes Tomini, 2014. "On the Environmental Efficiency of Water Storage: The Case of a Conjunctive Use of Ground and Rainwater," Working Papers halshs-01083461, HAL.
    2. Raphaël Soubeyran & Mabel Tidball & Agnes Tomini & Katrin Erdlenbruch, 2015. "Rainwater Harvesting and Groundwater Conservation: When Endogenous Heterogeneity Matters," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(1), pages 19-34, September.
    3. Katrin Erdlenbruch & Raphael Soubeyran & Mabel Tidball & Agnes Tomini, 2012. "(Anti-)Coordination Problems with Scarce Water Resources," Working Papers 12-28, LAMETA, Universtiy of Montpellier, revised Sep 2012.

    More about this item

    JEL classification:

    • Q25 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Water
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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