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OPTIMAL ENDOGENOUS GROWTH WITH NATURAL RESOURCES: THEORY AND EVIDENCE

Published online by Cambridge University Press:  08 April 2016

Manh-Hung Nguyen  and
Phu Nguyen-Van
Manh-Hung Nguyen
Affiliation:
Toulouse School of Economics (LERNA-INRA)
Phu Nguyen-Van*
Affiliation:
BETA, CNRS and Université de Strasbourg
*
Address correspondence to: Phu Nguyen-Van, BETA, CNRS and Université de Strasbourg, 61 avenue de la Forêt Noire, 67000 Strasbourg, France; e-mail: nguyen-van@unistra.fr.
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Abstract

This paper considers an optimal endogenous growth model where the production function is assumed to exhibit increasing returns to scale and two types of resource (renewable and nonrenewable) are imperfect substitutes. Natural resources, labor, and physical capital are used in the final goods sector and in the accumulation of knowledge. Based on results in the calculus of variations, a direct proof of the existence of an optimal solution is provided. Analytical solutions for the planner case, balanced growth paths, and steady states are found for a specific CRRA utility and Cobb–Douglas production function. It is possible to have long-run growth where both energy resources are used simultaneously along the equilibrium path. As the law of motion of the technological change is not concave, reflecting the increasing returns to scale, so that the Arrow–Mangasarian sufficiency conditions do not apply, we provide a sufficient condition directly. Transitional dynamics to the steady state from the theoretical model are used to derive three convergence equations of output intensity growth rate, exhaustible resource growth rate, and renewable resource growth rate, which are tested based on OECD data on production and energy consumption.

Keywords

Endogenous Optimal GrowthTransitional DynamicsRenewable ResourceNonrenewable Resource
Type
Articles
Information
Macroeconomic Dynamics , Volume 20 , Special Issue 8: Technology Aspects in the Process of Development , December 2016 , pp. 2173 - 2209
Copyright
Copyright © Cambridge University Press 2016 

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References

REFERENCES

Aghion, Philippe and Howitt, Peter (1998) Endogenous Growth Theory. Cambridge, MA: MIT Press.Google Scholar
Alvarez, Francisco, Marrero, Gustavo A., and Puch, Luis A. (2005) Air Pollution and the Macroeconomy across European Countries. FEDEA working paper 2005-10.Google Scholar
André, Francisco J. and Cerd´, Emilio (2005) On natural resource substitution. Resources Policy 30, 233–246.CrossRefGoogle Scholar
Arellano, Manuel and Bond, Stephan (1991) Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations. Review of Economic Studies 58, 227–297.Google Scholar
Baltagi, Badi H. (2005) Econometric Analysis of Panel Data. Chichester, UK: Wiley.Google Scholar
Barbier, Edward B. (1999) Endogenous growth and natural resource scarcity. Environmental and Resource Economics 14, 51–74.Google Scholar
Bretschger, Lucas (2005) Economics of technological change and the natural environment: How effective are innovations as a remedy for resource scarcity? Ecological Economics 54, 148–163.CrossRefGoogle Scholar
Bretschger, Lucas (2006) Energy Prices, Growth, and the Channels in Between: Theory and Evidence. ETH Zurich working paper 06/47.Google Scholar
Brock, William A. and Taylor, M. Scott (2006) Economic growth and the environment: A review of theory and empirics. In Aghion, Philippe and Durlauf, Steven N. (eds.), Handbook of Economic Growth, Vol. 1B, Chap. 28. Amsterdam: North Holland.Google Scholar
Brock, William A. and Taylor, M. Scott (2010) The green Solow model. Journal of Economic Growth 15, 127–153.CrossRefGoogle Scholar
Chakrovarty, Ujjayant, Magné, Bertrand, and Moreau, Michel (2006) A Hotelling model with ceiling on the stock of pollution. Journal of Economic and Dynamics and Control 30, 2875–2904.Google Scholar
Chichilnisky, Graciela (1981) Existence and characterization of optimal growth paths including models with nonconvexities in utilities and technologies. Review of Economic Studies 48, 51–61.Google Scholar
d'Albis, Hyppolyte, Gourdel, Pascal, and Le Van, Cuong (2008) Existence of solution in continuous-time optimal growth model. Economic Theory 37, 321–333.CrossRefGoogle Scholar
Dunford, Nelson and Schwartz, Jacob T. (1967) Linear Operators. Part I: General Theory. New York: Interscience.Google Scholar
Durlauf, Steven N., Johnson, Paul A., and Temple, Johnathan R.W. (2005) Growth econometrics. In Aghion, Philippe and Durlauf, Steven N. (eds.), Handbook of Economic Growth, Vol. 1A, Chap. 8. Amsterdam: North Holland.Google Scholar
Gerlagh, Reyer (2011) Too much oil. CESifo Economic Studies 57 (1), 79–102.CrossRefGoogle Scholar
Gerlagh, Reyer and van der Zwaan, Bob (2003) Gross world product and consumption in a global warming model with endogenous technological change. Resource and Energy Economics 25, 35–57.CrossRefGoogle Scholar
Grimaud, André and Rougé, Luc (2004) Polluting Non-renewable vs. Non-polluting Renewable Resources: Environmental Policy and Growth. Toulouse School of Economics, mimeo.Google Scholar
Grimaud, André and Rougé, Luc (2005) Polluting non-renewable resources, innovation and growth: Welfare and environmental policy. Resource and Energy Economics 27, 109–129.CrossRefGoogle Scholar
Grimaud, André and Rougé, Luc (2008) Environment, directed technical change and economic policy. Environmental and Resource Economics 41, 439–463.CrossRefGoogle Scholar
Groth, Christian and Schou, Poul (2002) Can non-renewable resources alleviate the knife-edge character of endogenous growth? Oxford Economics Papers 54, 386–411.Google Scholar
Groth, Christian and Schou, Poul (2007). Growth and non-renewaable resources: The different roles of capital and resource taxes. Journal of Environmental Economics and Management 53, 80–98.CrossRefGoogle Scholar
Growiec, Jakub and Schumacher, Ingmar (2008) On technical change in the elasticities of resource inputs. Resources Policy 33, 210–221.Google Scholar
Heston, Alan, Summers, Robert, and Aten, Bettina (2002) Penn World Table Version 6.1. Center for International Comparisons, University of Pennsylvania (CICUP).Google Scholar
Islam, Nazrul (1995) Growth empirics: A panel data approach. Quarterly Journal of Economics 110, 1127–1170.Google Scholar
Jones, Charles I. (2006) Growth and ideas. In Aghion, Philippe and Durlauf, Steven N. (eds.), Handbook of Economic Growth, Vol. 1B, Chap. 16. Amsterdam: North Holland.Google Scholar
Kolstad, Charles D. and Krautkraemer, Jeffrey A. (1993) Natural resource use and the environment. In Kneese, Allen V. and Sweeney, James L. (eds.), Handbook of Natural Resource and Energy Economics, Vol. III, Chap. 26. Amsterdam: North Holland.Google Scholar
Lee, Myoung-jae (2002) Panel Data Econometrics: Methods of Moments and Limited Dependent Variables. San Diego: Academic Press.Google Scholar
Leitmann, George and Stalford, Harold (1971) A sufficiency theorem for optimal control. Journal of Optimization Theory and Applications 8, 169–173.CrossRefGoogle Scholar
Long, Ngo Van (2014) The Green Paradox under Imperfect Substitutability between Clean and Dirty Fuels. CIREQ cahiers de recherche 02-2014.Google Scholar
Mankiw, N. Gregory, Romer, David, and Weil, David N. (1992) A contribution to the empirics of economic growth. Quarterly Journal of Economics 107 (2), 407–437.Google Scholar
Maz'ja, Vladimir G. (1985) Sobolev Spaces. Heidelberg, Germany: Springer Verlag.Google Scholar
Miketa, Asami and Mulder, Peter (2005) Energy productivity across developed and developing countries in 10 manufacturing sectors: Patterns of growth and convergence. Energy Economics 27, 429–453.CrossRefGoogle Scholar
Mulder, Peter and De Groot, Henri L.F. (2007) Sectoral energy- and labour-productivity convergence. Environmental and Resource Economics 36, 85–112.CrossRefGoogle Scholar
Scholz, Christian M. and Ziemes, Georg (1999) Exhaustible resources, monopolistic competition, and endogenous growth. Environmental and Resource Economics 13, 169–185.Google Scholar
Smulders, Sjak (2005) Endogenous technological change, natural resources, and growth. In Simpson, R. David, Toman, Michael A., and Ayres, Robert U. (eds.), Scarcity and Growth Revisited: Natural Resources and the Environment in the New Millennium, Chap. 8. Baltimore, MD: Johns Hopkins University Press.Google Scholar
Tahvonen, Olli and Salo, Seppo (2001) Economic growth and transition between renewable and nonrenewable energy resources. European Economic Review 45, 1379–1398.Google Scholar
Tsur, Yacov and Zemel, Amos (2003) Optimal transition to backstop substitutes for nonrenewable resources. Journal of Economic Dynamics and Control 27, 551–572.Google Scholar