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

Author

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  • Hubert Stahn

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Agnès Tomini

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper studies groundwater management in the presence of rainwater harvesting (RWH). We propose a two-state model that takes into account the dynamics of the aquifer and the standard dynamics of the storage capacity, and we assume that the collection of rainwater reduces the natural recharge. We analyze the trade-off between these two water harvesting techniques in an optimal control model. In particular, we show that, when these techniques are perfect 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 Basin (New Mexico, USA). JEL: Q25, C61, D61. / KEY WORDS: Rainwater Harvesting, Conjunctive Use, Groundwater Management, Optimal Control.

Suggested Citation

  • Hubert Stahn & Agnès Tomini, 2015. "Rainwater Harvesting under Endogenous Capacity of Storage: a Solution to Aquifer Preservation?," Post-Print hal-01457327, HAL.
    • Handle: RePEc:hal:journl:hal-01457327
    DOI: 10.15609/annaeconstat2009.119-120.209
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    1. 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.
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    7. 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.
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    9. 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.
    10. Fisher, Anthony C. & Rubio, Santiago J., 1997. "Adjusting to Climate Change: Implications of Increased Variability and Asymmetric Adjustment Costs for Investment in Water Reserves," Journal of Environmental Economics and Management, Elsevier, vol. 34(3), pages 207-227, November.
    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. 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.
    13. 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.
    14. Kim, C.S. & Moore, Michael R., 1989. "Public policies in water-resource use: their effect on groundwater mining and surface-water imports," Technical Bulletins 312304, United States Department of Agriculture, Economic Research Service.
    15. 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. Amine Chekireb & Julio Goncalves & Hubert Stahn & Agnes Tomini, 2021. "Private exploitation of the North-Western Sahara Aquifer System," Working Papers halshs-03457972, HAL.
    2. Stahn, Hubert & Tomini, Agnès, 2017. "On conjunctive management of groundwater and rainwater," Resource and Energy Economics, Elsevier, vol. 49(C), pages 186-200.
    3. Hubert Stahn & Agnès Tomini, 2014. "On the Environmental Efficiency of Water Storage: The Case of a Conjunctive Use of Ground and Rainwater," AMSE Working Papers 1452, Aix-Marseille School of Economics, France.
    4. 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.
    5. 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.

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    More about this item

    Keywords

    Economie quantitative;

    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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