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Testing the Assumptions and Predictions of the Hotelling Model

Author

Listed:
  • Calvin Atewamba

    (Institute for Natural Resources in Africa, United Nations University)

  • Bruno Nkuiya

    (Bren School of Environmental Science and Management, University of California Santa Barbara)

Abstract

In this paper, we empirically examine whether the assumptions and predictions of the Hotelling model are consistent with patterns observed in data. We consider nonlinear functional forms for the extraction cost and resource demand to develop an empirical Hotelling model with technological progress and stock dependent extraction costs. Using panel data on fourteen nonrenewable natural resources to estimate this empirical Hotelling model, we get qualitatively different results as compared to the related literature. We find evidence of stock-dependent extraction costs for most resources. There is no evidence against the linearity of the optimal extraction rate in the resource stock for almost all resources studied. Furthermore, the Hotelling model may sustain a zero long-run growth rate in resource prices. These results depend on whether firms use different extractive technologies or whether the structural break observed on resource prices is taken into account.

Suggested Citation

  • Calvin Atewamba & Bruno Nkuiya, 2017. "Testing the Assumptions and Predictions of the Hotelling Model," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 66(1), pages 169-203, January.
  • Handle: RePEc:kap:enreec:v:66:y:2017:i:1:d:10.1007_s10640-015-9922-0
    DOI: 10.1007/s10640-015-9922-0
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    References listed on IDEAS

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    1. Ledoit, Olivier & Wolf, Michael, 2004. "A well-conditioned estimator for large-dimensional covariance matrices," Journal of Multivariate Analysis, Elsevier, vol. 88(2), pages 365-411, February.
    2. 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.
    3. Cairns, Robert D., 2014. "The green paradox of the economics of exhaustible resources," Energy Policy, Elsevier, vol. 65(C), pages 78-85.
    4. Cynthia Lin, C.-Y. & Wagner, Gernot, 2007. "Steady-state growth in a Hotelling model of resource extraction," Journal of Environmental Economics and Management, Elsevier, vol. 54(1), pages 68-83, July.
    5. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39, pages 137-137.
    6. Andrews, Donald W K, 2001. "Testing When a Parameter Is on the Boundary of the Maintained Hypothesis," Econometrica, Econometric Society, vol. 69(3), pages 683-734, May.
    7. Margaret E. Slade & Henry Thille, 2009. "Whither Hotelling: Tests of the Theory of Exhaustible Resources," Annual Review of Resource Economics, Annual Reviews, vol. 1(1), pages 239-259, September.
    8. Matyas,Laszlo (ed.), 1999. "Generalized Method of Moments Estimation," Cambridge Books, Cambridge University Press, number 9780521669672.
    9. John Livernois, 2009. "On the Empirical Significance of the Hotelling Rule," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 3(1), pages 22-41, Winter.
    10. Donald W. K. Andrews & Ray C. Fair, 1988. "Inference in Nonlinear Econometric Models with Structural Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 615-640.
    11. Jeffrey A. Krautkraemer, 1998. "Nonrenewable Resource Scarcity," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 2065-2107, December.
    12. Matyas,Laszlo (ed.), 1999. "Generalized Method of Moments Estimation," Cambridge Books, Cambridge University Press, number 9780521660136.
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    Cited by:

    1. Christopher Costello & Bruno Nkuiya & Nicolas Querou, 2017. "Extracting spatial resources under possible regime shift," Working Papers hal-01615939, HAL.
    2. Roberto Ferreira da Cunha & Antoine Missemer, 2020. "The Hotelling rule in non‐renewable resource economics: A reassessment," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(2), pages 800-820, May.
    3. Bai, Yiyi & Okullo, Samuel J., 2018. "Understanding oil scarcity through drilling activity," Energy Economics, Elsevier, vol. 69(C), pages 261-269.
    4. Gregor Schwerhoff & Ottmar Edenhofer & Marc Fleurbaey, 2020. "Taxation Of Economic Rents," Journal of Economic Surveys, Wiley Blackwell, vol. 34(2), pages 398-423, April.
    5. Zeng, Yu & Wei, Xuan & Yao, Yuan & Xu, Yinliang & Sun, Hongbin & Kin Victor Chan, Wai & Feng, Wei, 2023. "Determining the pricing and deployment strategy for virtual power plants of peer-to-peer prosumers: A game-theoretic approach," Applied Energy, Elsevier, vol. 345(C).
    6. Youmanli Ouoba, 2023. "Testing the necessary conditions for sustainability in the mining sector in Burkina Faso," Mineral Economics, Springer;Raw Materials Group (RMG);Luleå University of Technology, vol. 36(1), pages 1-12, January.
    7. Chuku, Chuku & Lang, Lin & Lim, King Yoong, 2023. "Public debt, Chinese loans and optimal exploration–extraction in Africa," Energy Economics, Elsevier, vol. 118(C).
    8. Jiafeng Gu, 2021. "Determinants of biopharmaceutical R&D expenditures in China: the impact of spatiotemporal context," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(8), pages 6659-6680, August.

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