Skip to main content
Log in

Quantity and quality management of groundwater: An application to irrigated agriculture in Iraklion, Crete

  • Modeling
  • Published:
Environmental Modeling & Assessment Aims and scope Submit manuscript

Abstract

A quantity-quality problem in which pollution generates production externalities is analyzed empirically. Water is pumped by farmers from a common access aquifer, and deep percolation resulting from the irrigation causes accumulation of pollutants in the aquifer. Pollution negatively affects the production of the agricultural output through the deterioration of the groundwater quality. By comparing the cooperative with the noncooperative solution, an optimal policy scheme in the form of water taxes is determined. The scheme induces farmers acting noncooperatively to follow policies that correspond to the regulator's optimum. The model is applied to the case of groundwater management in the Iraklio prefecture of Crete. Agricultural production functions are estimated using an externality variable as explanatory variable. An optimal control model that corresponds to the cooperative solution is solved using multiple shooting methods. Paths for water stock, salinity stock, and water use at the regulator's optimum are derived. The optimal water tax is calculated in the final stage.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Angelakis, Management of water resources, Geotechnica Kritis 1 (in Greek) (1991).

  2. C. Balafoutis, Water needs of the Aegean islands, in:Proceedings of the Hydrotechnical Conference of Greece, Iraklio, Crete (in Greek) (1990).

  3. M.R. Caputo, A qualitative characterization of the competitive nonrenewable resource extracting firm, Journal of Environmental Economics and Management 18 (1990) 206–226.

    Google Scholar 

  4. G. Chamberlain, Panel data, in:Handbook of Econometrics, Z. Griliches and M. Intrilligator, eds., North-Holland, Amsterdam, 1984.

    Google Scholar 

  5. A. Dinar and A. Xepapadeas, Policy implications of environmental regulation: the case of doing and learning in non-point source pollution, Part I—Theory, Fondazione ENI Enrico Mattei, Nota di Lavoro 25.94 (1994).

  6. A. Dinar and A. Xepapadeas, Policy implications of environmental regulation: the case of doing and learning in non-point source pollution, Part II—Application, Fondazione ENI Enrico Mattei, Nota di Lavoro 26.94 (1994).

  7. A. Dinar and D. Zilberman, Effects of input quality and environmental conditions on selection of irrigation technologies, in:The Economics and Management of Water and Drainage in Agriculture, A. Dinar and D. Zilberman, eds., Kluwer Academic, 1991.

  8. D. Lipton, J. Potebra, J. Sachs and I. Summers, Multiple shooting in rational expectations models, Econometrica 50 (1982) 1329–1333.

    Google Scholar 

  9. G.C. Maddala,The Econometrics of Panel Data, Edward Elgar, Gower, 1993.

    Google Scholar 

  10. S. Wolfram,Mathematica: A System for Doing Mathematics by Computer, 2nd ed., Addison-Wesley, 1993.

  11. P. Mahairas and F. Kolyva-Mahaira, Statistical characteristics of precipitation in Iraklion during the recent century, in:Proceedings of the Hydrotechnical Conference of Greece, Iraklio, Crete (in Greek) (1990).

  12. M. Maliarakis, The problem of the insufficiency of irrigation water in Iraklion, Geotechnika Kritis 1 (in Greek) (1991).

  13. D. Monopolis, Water balance and water capacity in Crete, in:Management of Water Resources in Crete, Workshop Proceedings, Chania, Crete (in Greek) (1993).

  14. Y. Mundlak, Empirical production functions free of management bias, Journal of Farm Economics 43 (1961) 44–56.

    Google Scholar 

  15. A. Seierstad and K. Sydsaeter,Optimal Control Theory with Economic Applications, North-Holland, Amsterdam, 1987.

    Google Scholar 

  16. H. Siebert, Nature as a life support system. Renewable resources and environmental disruption, Journal of Economics 42 (1982) 133–142.

    Google Scholar 

  17. O. Tahvonen and J. Kuuluvainen, Economic growth, pollution, and renewable resources, Journal of Environmental Economics and Management 24 (1993) 101–118.

    Google Scholar 

  18. A. Xepapadeas, Managing the international commons: Resource use and pollution control, Environmental and Resource Economics 5 (1995) 375–391.

    Google Scholar 

  19. A. Xepapadeas, Managing common access resources under production externalities, 2nd Workshop of the HCM ProgramDesigning Economic Policy for the Management of Natural Resources and The Environment, Venice, (1995), to appear inEconomic Policy for the Environment and Natural Resources: Techniques for the Management and Control of Pollution, A. Xepapadeas, ed., Edward Elgar.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xepapadeas, A. Quantity and quality management of groundwater: An application to irrigated agriculture in Iraklion, Crete. Environ Model Assess 1, 25–35 (1996). https://doi.org/10.1007/BF01874844

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01874844

Keywords

Navigation