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On natural slow time rhythms in economic growth

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  • Brannan, James

Abstract

This paper is a study of fluctuations in the U.S. gross domestic product (GDP) around locally defined balanced growth paths. In an uncertain environment, we extend the Solow model of economic growth to allow for capital dependent saving, and time delay between output and planned capital investment. Modeling saving rate as a sigmoid function of capital in effect inserts a positive feedback loop into the dynamics. As a consequence, time periods of positive and negative fluctuations about balanced growth paths are prolonged compared to corresponding fluctuations that would occur in the absence of the feedback loop. We first formulate and analyze the model in continuous time and then follow up with a discrete time approximation. Using data derived from the GDP, we estimate parameters by minimizing one-step-ahead prediction error while simultaneously matching second order statistics of the approximation to second order statistics of the data. In the model’s dynamic stationary state, business cycles occur naturally as excursions of bounded random walks from balanced growth paths where the random walks themselves consist of sums of correlated random variables. Linearization of the model about a balanced growth path yields a method for representing fluctuations in growth data as a superposition of three processes that evolve on different time scales—slow, intermediate, and fast. The resulting frequency based decomposition reveals a natural, slow time ebb and flow in output that can be used to predict future growth trends in the economy.

Suggested Citation

  • Brannan, James, 2019. "On natural slow time rhythms in economic growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119313263
    DOI: 10.1016/j.physa.2019.122304
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    References listed on IDEAS

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    1. Daron Acemoglu & Vasco M. Carvalho & Asuman Ozdaglar & Alireza Tahbaz‐Salehi, 2012. "The Network Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 80(5), pages 1977-2016, September.
    2. 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.
    3. Michal Kalecki, 1937. "A Theory of the Business Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 77-97.
    4. Paul Beaudry & Dana Galizia & Franck Portier, 2017. "Is the Macroeconomy Locally Unstable and Why Should We Care?," NBER Macroeconomics Annual, University of Chicago Press, vol. 31(1), pages 479-530.
    5. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    6. Lucas Bernard & Aleksandr V. Gevorkyan & Thomas I. Palley & Willi Semmler, 2014. "Time scales and mechanisms of economic cycles: a review of theories of long waves," Review of Keynesian Economics, Edward Elgar Publishing, vol. 2(1), pages 87-107, January.
    7. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
    8. Ali Hosseiny & Mohammad Bahrami & Antonio Palestrini & Mauro Gallegati, 2016. "Metastable Features of Economic Networks and Responses to Exogenous Shocks," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-22, October.
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