IDEAS home Printed from https://ideas.repec.org/p/ler/wpaper/06.06.199.html
   My bibliography  Save this paper

The Alberta dilemma: Optimal sharing of a water resource by an agricultural and an oil sector

Author

Listed:
  • GAUDET Gérard
  • MOREAUX Michel

    (LERNA, University of Toulouse)

  • WITHAGEN Cees

Abstract

The purpose of this paper is to characterize the optimal time paths of production and water usage by an agricultural and an oil sector that have to share a limited water resource. We show that for any given water stock, if the oil stock is sufficiently large, it will become optimal to have a phase during which the agricultural sector is inactive. This may mean having an initial phase during which the two sectors are active, then a phase during which the water is reserved for the oil sector and the agricultural sector is inactive, followed by a phase during which both sectors are active again. The agricultural sector will always be active in the end as the oil stock is depleted and the demand for water from the oil sector decreases. In the case where agriculture is not constrained by the given natural inflow of water once there is no more oil, we show that oil extraction will always end with a phase during which oil production follows a pure Hotelling path, with the implicit price of oil net of extraction cost growing at the rate of interest. If the natural inflow of water does constitute a constraint for agriculture, then oil production never follows a pure Hotelling path, because its full marginal cost must always reflect not only the imputed rent on the finite oil stock, but also the positive opportunity cost of water.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)(This abstract was borrowed from another version of this item.)

Suggested Citation

  • GAUDET Gérard & MOREAUX Michel & WITHAGEN Cees, 2006. "The Alberta dilemma: Optimal sharing of a water resource by an agricultural and an oil sector," LERNA Working Papers 06.06.199, LERNA, University of Toulouse.
    • Handle: RePEc:ler:wpaper:06.06.199
    as

    Download full text from publisher

    File URL: http://www2.toulouse.inra.fr/lerna/cahiers2006/06.06.199.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Swallow, Stephen K., 1990. "Depletion of the environmental basis for renewable resources: The economics of interdependent renewable and nonrenewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 19(3), pages 281-296, November.
    2. Lewis, Tracy R, 1982. "Sufficient Conditions for Extracting Least Cost Resource First," Econometrica, Econometric Society, vol. 50(4), pages 1081-1083, July.
    3. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586, September.
    4. Kemp, Murray C & Long, Ngo Van, 1980. "On Two Folk Theorems Concerning the Extraction of Exhaustible Resources," Econometrica, Econometric Society, vol. 48(3), pages 663-673, April.
    5. Favard, Pascal, 2002. "Does productive capital affect the order of resource exploitation?," Journal of Economic Dynamics and Control, Elsevier, vol. 26(6), pages 911-918, June.
    6. Hartwick, John M. & Kemp, Murray C. & Van Long, Ngo, 1986. "Set-up costs and theory of exhaustible resources," Journal of Environmental Economics and Management, Elsevier, vol. 13(3), pages 212-224, September.
    7. Chakravorty, Ujjayant & Krulce, Darrell & Roumasset, James, 2005. "Specialization and non-renewable resources: Ricardo meets Ricardo," Journal of Economic Dynamics and Control, Elsevier, vol. 29(9), pages 1517-1545, September.
    8. 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.
    9. Holland, Stephen P., 2003. "Extraction capacity and the optimal order of extraction," Journal of Environmental Economics and Management, Elsevier, vol. 45(3), pages 569-588, May.
    10. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    11. Chakravorty, Ujjayant & Krulce, Darrell L, 1994. "Heterogeneous Demand and Order of Resource Extraction," Econometrica, Econometric Society, vol. 62(6), pages 1445-1452, November.
    12. Chakravorty, Ujjayant & Roumasset, James & Tse, Kinping, 1997. "Endogenous Substitution among Energy Resources and Global Warming," Journal of Political Economy, University of Chicago Press, vol. 105(6), pages 1201-1234, December.
    13. Gerard Gaudet & Michel Moreaux & Stephen W. Salant, 2001. "Intertemporal Depletion of Resource Sites by Spatially Distributed Users," American Economic Review, American Economic Association, vol. 91(4), pages 1149-1159, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bahel, Eric & Marrouch, Walid & Gaudet, Gérard, 2013. "The economics of oil, biofuel and food commodities," Resource and Energy Economics, Elsevier, vol. 35(4), pages 599-617.
    2. Lafforgue, Gilles & Magné, Bertrand & Moreaux, Michel, 2008. "Energy substitutions, climate change and carbon sinks," Ecological Economics, Elsevier, vol. 67(4), pages 589-597, November.
    3. Bazhanov, Andrei, 2011. "Investment and current utility change in dynamically inefficient economies," MPRA Paper 35487, University Library of Munich, Germany.
    4. Bazhanov, Andrei V., 2015. "Inefficiency and sustainability," Resources Policy, Elsevier, vol. 45(C), pages 210-216.
    5. Amigues, Jean-Pierre & Moreaux, Michel, 2018. "Competing Land Uses and Fossil Fuel, Optimal Energy Conversion Rates During the Transition Toward a Green Economy Under a Pollution Stock Constraint," TSE Working Papers 18-981, Toulouse School of Economics (TSE).
    6. Bazhanov, Andrei, 2011. "Investment and resource policy under a modified Hotelling rule," MPRA Paper 32428, University Library of Munich, Germany.
    7. Bazhanov, Andrei, 2012. "Disregarded inefficiency may dominate sustainability policies," MPRA Paper 43621, University Library of Munich, Germany.
    8. Kuwayama, Yusuke & Olmstead, Sheila & Krupnick, Alan, 2013. "Water Resoures and Unconventional Fossil Fuel Development: Linking Physical Impacts to Social Costs," RFF Working Paper Series dp-13-34, Resources for the Future.
    9. Fitzgerald, Timothy & Kuwayama, Yusuke & Olmstead, Sheila & Thompson, Alexandra, 2020. "Dynamic impacts of U.S. energy development on agricultural land use," Energy Policy, Elsevier, vol. 137(C).
    10. Andrei Bazhanov, 2012. "A Closed-Form Solution to Stollery’s Problem with Damage in Utility," Computational Economics, Springer;Society for Computational Economics, vol. 39(4), pages 365-386, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lafforgue, Gilles & Magné, Bertrand & Moreaux, Michel, 2008. "Energy substitutions, climate change and carbon sinks," Ecological Economics, Elsevier, vol. 67(4), pages 589-597, November.
    2. Meier, Felix D. & Quaas, Martin F., 2021. "Booming gas – A theory of endogenous technological change in resource extraction," Journal of Environmental Economics and Management, Elsevier, vol. 107(C).
    3. Gérard Gaudet & Stephen W. Salant, 2018. "Modeling Nonrenewable Resources Use with Multiple Demands and Multiple Sources," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(4), pages 737-755, August.
    4. Chakravorty, Ujjayant & Krulce, Darrell & Roumasset, James, 2005. "Specialization and non-renewable resources: Ricardo meets Ricardo," Journal of Economic Dynamics and Control, Elsevier, vol. 29(9), pages 1517-1545, September.
    5. Im, Eric Iksoon & Chakravorty, Ujjayant & Roumasset, James, 2006. "Discontinuous extraction of a nonrenewable resource," Economics Letters, Elsevier, vol. 90(1), pages 6-11, January.
    6. Ujjayant Chakravorty & Michel Moreaux & Mabel Tidball, 2008. "Ordering the Extraction of Polluting Nonrenewable Resources," American Economic Review, American Economic Association, vol. 98(3), pages 1128-1144, June.
    7. Moreaux, Michel & Ricci, Francesco, 2005. "The simple analytics of developing resources from resources," Resource and Energy Economics, Elsevier, vol. 27(1), pages 41-63, January.
    8. Di Maria, Corrado & Smulders, Sjak & van der Werf, Edwin, 2008. "Absolute Abundance and Relative Scarcity: Announced Policy, Resource Extraction, and Carbon Emissions," Climate Change Modelling and Policy Working Papers 46626, Fondazione Eni Enrico Mattei (FEEM).
    9. Gérard Gaudet, 2007. "Natural resource economics under the rule of Hotelling," Canadian Journal of Economics, Canadian Economics Association, vol. 40(4), pages 1033-1059, November.
    10. Freni, Giuseppe, 2009. "Factor intensity and order of resource extraction," MPRA Paper 18790, University Library of Munich, Germany.
    11. Holland, Stephen P., 2003. "Extraction capacity and the optimal order of extraction," Journal of Environmental Economics and Management, Elsevier, vol. 45(3), pages 569-588, May.
    12. Julien Daubanes & Pierre Lasserre, 2019. "The supply of non-renewable resources," Canadian Journal of Economics, Canadian Economics Association, vol. 52(3), pages 1084-1111, August.
    13. Fabre, Adrien & Fodha, Mouez & Ricci, Francesco, 2020. "Mineral resources for renewable energy: Optimal timing of energy production," Resource and Energy Economics, Elsevier, vol. 59(C).
    14. Giuseppe Freni, 2016. "Order of resource extraction and factor intensity," Discussion Papers 3_2016, CRISEI, University of Naples "Parthenope", Italy.
    15. Gérard Gaudet & Pierre Lasserre, 2011. "The Efficient Use Of Multiple Sources Of A Nonrenewable Resource Under Supply Cost Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 245-258, February.
    16. Coulomb, Renaud & Henriet, Fanny, 2018. "The Grey Paradox: How fossil-fuel owners can benefit from carbon taxation," Journal of Environmental Economics and Management, Elsevier, vol. 87(C), pages 206-223.
    17. James Roumasset & Christopher Wada, 2013. "Ordering Extraction from Multiple Aquifers," Working Papers 2013-12, University of Hawaii Economic Research Organization, University of Hawaii at Manoa.
    18. Amigues, Jean-Pierre & Kama, Alain Ayong Le & Moreaux, Michel, 2015. "Equilibrium transitions from non-renewable energy to renewable energy under capacity constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 89-112.
    19. Okullo, Samuel J. & Reynès, Frédéric & Hofkes, Marjan W., 2015. "Modeling peak oil and the geological constraints on oil production," Resource and Energy Economics, Elsevier, vol. 40(C), pages 36-56.
    20. Roumasset James & Wada Christopher A, 2011. "Ordering Renewable Resources: Groundwater, Recycling, and Desalination," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-29, May.

    More about this item

    JEL classification:

    • Q1 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture
    • Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation
    • Q3 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ler:wpaper:06.06.199. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Maxime MARTY (email available below). General contact details of provider: https://edirc.repec.org/data/lrtlsfr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.