Effects of Exhaustible Resources and Declining Population on Economic Growth with Hotelling's Rule

Sasaki, Hiroaki and Mino, Kazuo (2021): Effects of Exhaustible Resources and Declining Population on Economic Growth with Hotelling's Rule.

Abstract

This study introduces declining population and exhaustible resources into a semi-endogenous growth model that explicitly incorporates firms' optimization behavior and investigates the relationship between the population growth rate and the growth rate of the per capita output. The main results are as follows. First, irrespective of whether the population growth rate is positive or negative, the long-run growth rate of per capita output can be positive, depending on the conditions. Second, when the population growth rate is positive, the long-run growth rate of per capita output depends positively on the saving rate, although the model belongs to the class of semi-endogenous growth without scale effects.

• Item Type: MPRA Paper
• Language: English
• Keywords: exhaustible resources; declining population; endogenous growth: Hotelling's rule
• Subjects: O - Economic Development, Innovation, Technological Change, and Growth > O1 - Economic Development > O13 - Agriculture ; Natural Resources ; Energy ; Environment ; Other Primary Products; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O44 - Environment and Growth; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q3 - Nonrenewable Resources and Conservation > Q32 - Exhaustible Resources and Economic Development; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q4 - Energy > Q43 - Energy and the Macroeconomy

References

Barbier, E. B. (1999) ``Endogenous growth and natural resource scarcity,'' Environmental and Resource Economics 14, pp. 51--74.

Bretschger, L. (2013) ``Population growth and natural-resource scarcity: long-run development under seemingly unfavorable conditions,'' Scandinavian Journal of Economics 115 (3), pp. 722--755.

Cabo, F., Mart\'in-Herr\'an, G., and Martinez-Garcia, M. P. (2016) ``A note on the stability of fully endogenous growth with increasing returns and exhaustible resources,'' Macroeconomic Dynamics 20 (3), pp. 819--831.

Christiaans, T. (2011) ``Semi-endogenous growth when population is decreasing,'' Economics Bulletin 31 (3), pp. 2667--2673.

Christiaans, T. (2017) ``On the implications of declining population growth for regional migration,'' Journal of Economics 122 (2), pp. 155--171.

Cigno. A. (1981) ``Growth with exhaustible resources and endogenous population,'' Review of Economic Studies} 48 (2), pp. 281--287.

Dasgupta, P., and Heal, G. (1974) ``The optimal depletion of exhaustible resources,'' Review of Economic Studies 41, pp. 3--28.

Da Silva, A. S. (2008) ``Growth with exhaustible resource and endogenous extraction rate,'' Economic Modelling 25, pp. 1165--1174.

Groth, C. (2007) ``A new-growth perspective on non-renewable resources,'' in L. Bretschger and S. Smulders (eds.) Sustainable Resource Use and Economic Dynamics, pp. 127--163, Springer.

Groth, C., and Schou, P. (2002) ``Can non-renewable resources alleviate the knife-edge character of endogenous growth?'' Oxford Economic Papers 54, pp. 386--411.

Graham, B. S., and Temple, J. R. W. (2006) ``Rich nations, poor nations: how much can multiple equilibria explain?" Journal of Economic Growth 11, pp. 5--41.

Hotelling, H. (1931) ``The economics of exhaustible resources,'' Journal of Political Economy 39 (2), pp. 137--175.

Jones, C. I. (1995) ``R\&D-based models of economic growth,'' Journal of Political Economy 103, pp. 759--784.

Jones, C. I. (1999) ``Growth: with or without scale effects?'' American Economic Review 89, pp. 139--144.

Jones, C. I. (2020) ``The end of economic growth? Unintended consequences of a declining population,'' NBER Working Paper No. 26651.

Malaczewski, M. (2018) ``Natural resources as an energy source in a simple economic growth model,'' Bulletin of Economic Research 70 (4), pp. 362--380.

Meadows, D. H., Meadows, D. L., Randers, J., and Behrens III, W. W. (1972) The Limits to Growth, New York: Universe Books.

Naso, P., Lanz, B., and Swanson, T. (2020) ``The return of Malthus? Resource constraints in an era of declining population growth,'' European Economic Review 128, 103499.

Ritschl, A. (1985) ``On the stability of the steady-state when the population is decreasing,'' Journal of Economics 45 (2), pp. 161--170.

Sasaki, H. (2015) ``International trade and industrialization with negative population growth,'' Macroeconomic Dynamics 19 (8), pp. 1647--1658.

Sasaki, H. (2019) ``The Solow growth model with a CES production function and declining population,'' Economics Bulletin 39 (3), pp. 1979--1988.

Sasaki, H. (2021) ``Non-renewable resources and the possibility of sustainable economic development in an economy with positive or negative population growth,'' Bulletin of Economic Research, https://doi.org/10.1111/boer.12276

Sasaki, H., and Hoshida, K. (2017) ``The effects of negative population growth: an analysis using a semi-endogenous R\&D growth model,'' Macroeconomic Dynamics 21 (7), pp. 1545--1560.

Solow, R. M. (1956) ``A contribution to the theory of economic growth,'' Quarterly Journal of Economics 70, pp. 65--94.

Solow, R. M. (1974) ``Intergenerational equity and exhaustible resources,'' Review of Economic Studies 41, pp. 29--45.

Stiglitz, J. (1974a) ``Growth with exhaustible natural resources: efficient and optimal growth paths,'' Review of Economic Studies 41, pp. 123--137.

Stiglitz, J. (1974b) ``Growth with exhaustible natural resources: The competitive economy,'' Review of Economic Studies 41, pp. 139--152.

Suzuki, H. (1976) ``On the possibility of steadily growing per capita consumption in an economy with a wasting and non-replenishable resource,'' \textit{Review of Economic Studies} 43, pp. 527--535.