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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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    References listed on IDEAS

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    Cited by:

    1. Stahn, Hubert & Tomini, Agnès, 2017. "On conjunctive management of groundwater and rainwater," Resource and Energy Economics, Elsevier, vol. 49(C), pages 186-200.
    2. 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.
    3. 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.
    4. 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.
    5. Amine Chekireb & Julio Goncalves & Hubert Stahn & Agnes Tomini, 2021. "Private exploitation of the North-Western Sahara Aquifer System," Working Papers halshs-03457972, HAL.

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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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