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On technical change in the elasticities of resource inputs

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  • GROWIEC, Jakub
  • SCHUMACHER, Ingmar

Abstract

This article considers an economy whose production function takes both renewable and non-renewable resources as inputs. We extend the current literature by allowing for exogenous technical change in the elasticity of substitution betweenthese two types of resources. In addition, we study the consequences of biased technical change which alters the resources? relative productivities. We derive long-run asymptotic results, which we use to compare several cases. In the benchmark caseof no technical change, our results are close to those obtained by Dasgupta and Heal (1974). In the case of technical change in the elasticity of substitution, we observe that this kind of technical change helps obtain positive long-run production despite the depletion of non-renewable resources. In the biased technical change case, longrun production is only possible either if non-renewable resources are non-essential or if biased technical change is quick enough to compensate for the decreasing flowof non-renewable resources. We embed our production function in an optimal growth model and study its dynamics. As a steady state (or a balanced growth path) is only attainable as time goes to infinity, we resort to numerical simulations to convey what is happening during the short and medium run. Our results provide new considerations for the debate on natural resources. We suggest that technical change should be directed to the resource which is most important for production.

Suggested Citation

  • GROWIEC, Jakub & SCHUMACHER, Ingmar, 2006. "On technical change in the elasticities of resource inputs," LIDAM Discussion Papers CORE 2006063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2006063
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    1. Heal, Geoffrey M., 1993. "The optimal use of exhaustible resources," Handbook of Natural Resource and Energy Economics, in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 3, chapter 18, pages 855-880, Elsevier.
    2. Amigues, Jean-Pierre & Moreaux, Michel & Ricci, Francesco, 2008. "Resource-augmenting R&D with heterogeneous labor supply," Environment and Development Economics, Cambridge University Press, vol. 13(6), pages 719-745, December.
    3. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    4. Andre, Francisco J. & Cerda, Emilio, 2005. "On natural resource substitution," Resources Policy, Elsevier, vol. 30(4), pages 233-246, December.
    5. Robert M. Solow, 1974. "The Economics of Resources or the Resources of Economics," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 12, pages 257-276, Palgrave Macmillan.
    6. Sjak Smulders, "undated". "Environmental Policy and Sustainable Economic Growth - an endogenous growth perspective," EPRU Working Paper Series 95-07, Economic Policy Research Unit (EPRU), University of Copenhagen. Department of Economics.
    7. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    8. Grimaud, Andre & Rouge, Luc, 2005. "Polluting non-renewable resources, innovation and growth: welfare and environmental policy," Resource and Energy Economics, Elsevier, vol. 27(2), pages 109-129, June.
    9. Growiec, Jakub & Schumacher, Ingmar, 2008. "On technical change in the elasticities of resource inputs," Resources Policy, Elsevier, vol. 33(4), pages 210-221, December.
    10. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    11. Yuhn, Ky-hyang, 1991. "Economic Growth, Technical Change Biases, and the Elasticity of Substitution: A Test of the De La Grandville Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 73(2), pages 340-346, May.
    12. Cleveland, Cutler J. & Ruth, Matthias, 1997. "When, where, and by how much do biophysical limits constrain the economic process?: A survey of Nicholas Georgescu-Roegen's contribution to ecological economics," Ecological Economics, Elsevier, vol. 22(3), pages 203-223, September.
    13. Poul Schou, 2000. "Polluting Non-Renewable Resources and Growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 16(2), pages 211-227, June.
    14. Christian Scholz & Georg Ziemes, 1999. "Exhaustible Resources, Monopolistic Competition, and Endogenous Growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 13(2), pages 169-185, March.
    15. AMIGUES Jean-Pierre & MOREAUX Michel & RICCI Francesco, 2006. "Overcoming the Natural Resource Constraint Through Dedicated R&D Effort with Heterogenous Labor Supply," LERNA Working Papers 06.22.215, LERNA, University of Toulouse.
    16. Christian Groth & Poul Schou, 2002. "Can non-renewable resources alleviate the knife-edge character of endogenous growth?," Oxford Economic Papers, Oxford University Press, vol. 54(3), pages 386-411, July.
    17. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
    18. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    19. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    20. Rainer Klump & Harald Preissler, 2000. "CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    21. Bretschger, Lucas, 2005. "Economics of technological change and the natural environment: How effective are innovations as a remedy for resource scarcity?," Ecological Economics, Elsevier, vol. 54(2-3), pages 148-163, August.
    22. Joseph Stiglitz, 1974. "Growth with Exhaustible Natural Resources: Efficient and Optimal Growth Paths," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 123-137.
    23. Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 3-28.
    24. Tahvonen, Olli & Salo, Seppo, 2001. "Economic growth and transitions between renewable and nonrenewable energy resources," European Economic Review, Elsevier, vol. 45(8), pages 1379-1398, August.
    25. Groth Christian, 2004. "Strictly Endogenous Growth with Non-renewable Resources Implies an Unbounded Growth Rate," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-15, May.
    26. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307-1307, December.
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    Cited by:

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    2. Alexander S. Skorobogatov, 2016. "Spatial Equilibrium Approach to the Analysis of Income Differentials Across Russian Cities," HSE Working papers WP BRP 149/EC/2016, National Research University Higher School of Economics.
    3. Pittel, Karen & Röpke, Luise, 2014. "The Implications of Energy Input Flexibility for a Resource Dependent Economy," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100321, Verein für Socialpolitik / German Economic Association.
    4. Fabian Stöckl & Alexander Zerrahn, 2023. "Substituting Clean for Dirty Energy: A Bottom-Up Analysis," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 10(3), pages 819-863.
    5. Voosholz, Frauke, 2014. "The influence of different production functions on modeling resource extraction and economic growth," CAWM Discussion Papers 72, University of Münster, Münster Center for Economic Policy (MEP).
    6. Skorobogatov, Alexander S., 2018. "Why do newer cities promise higher wages in Russia?," Journal of Urban Economics, Elsevier, vol. 104(C), pages 16-34.
    7. Maciej Malaczewski, 2018. "Natural Resources As An Energy Source In A Simple Economic Growth Model," Bulletin of Economic Research, Wiley Blackwell, vol. 70(4), pages 362-380, October.
    8. Jean-François Fagnart & Marc Germain & Benjamin Peeters, 2020. "Can the Energy Transition Be Smooth? A General Equilibrium Approach to the EROEI," Sustainability, MDPI, vol. 12(3), pages 1-29, February.
    9. Jouvet, Pierre-André & Schumacher, Ingmar, 2012. "Learning-by-doing and the costs of a backstop for energy transition and sustainability," Ecological Economics, Elsevier, vol. 73(C), pages 122-132.
    10. Zhu, Xuehong & Zeng, Anqi & Zhong, Meirui & Huang, Jianbai, 2021. "Elasticity of substitution and biased technical change in the CES production function for China's metal-intensive industries," Resources Policy, Elsevier, vol. 73(C).
    11. Michael Knoblach & Fabian Stöckl, 2020. "What Determines The Elasticity Of Substitution Between Capital And Labor? A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 847-875, September.
    12. Growiec, Jakub & Schumacher, Ingmar, 2008. "On technical change in the elasticities of resource inputs," Resources Policy, Elsevier, vol. 33(4), pages 210-221, December.
    13. Jean-François Fagnart & Marc Germain, 2015. "Can the Energy Transition Be Smooth?," Working Papers 2015.04, FAERE - French Association of Environmental and Resource Economists.
    14. Luise Röpke, 2015. "Essays on the Integration of New Energy Sources into Existing Energy Systems," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 58.
    15. Nguyen, Manh-Hung & Nguyen-Van, Phu, 2010. "Growth and convergence in a model with renewable and non-renewable resources: existence, transitional dynamics, and empirical evidence," TSE Working Papers 10-210, Toulouse School of Economics (TSE).

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    More about this item

    Keywords

    elasticity of substitution; technical change; biased technical change; non-renewable resources; renewable resources;
    All these keywords.

    JEL classification:

    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General

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