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Sustainability 2017, 9(5), 746; doi:10.3390/su9050746

Complex Dynamics Induced by Nonlinear Pollution Absorption, Pollution Emission Rate and Effectiveness of Abatement Technology in an OLG Model

1
School of Economics and Management, Xidian University, Xi’an 710071, China
2
Academy of Mathematics and Systems Science, China Academy of Sciences, Beijing 100190, China
3
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB E3B5A3, Canada
*
Author to whom correspondence should be addressed.
Academic Editor: Marc Rosen
Received: 8 March 2017 / Revised: 21 April 2017 / Accepted: 1 May 2017 / Published: 4 May 2017
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Abstract

In this work, nonlinear pollution absorption, emission rate, and effectiveness of abatement technology are incorporated into the classic overlapping generation model. Within this framework, we analyze the macroeconomic effects of pollution emission and abatement technology on the economy. Our findings reveal that different levels of pollution emission rates from per capita income and the effectiveness of abatement technology could induce complex dynamical behavior, including the occurrence of a stable equilibrium, cycles, and chaos. Our analysis shows that either the pollution emission rate per capita income should be controlled to be small enough or the effectiveness of abatement technology should be large enough to maintain a stable system yielding high level of per capita income. A high level of pollution emission rate per capita income and a low level of effectiveness of abatement technology can lead to a stable economy, but with a low level of per capita income. In the case that the pollution emission rate and the effectiveness of abatement technology vary in a certain range, the economy would become unstable, and cycles and chaos would emerge. View Full-Text
Keywords: pollution absorption; pollution emission; abatement technology; OLG model pollution absorption; pollution emission; abatement technology; OLG model
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Cao, D.; Wang, L.; Wang, S. Complex Dynamics Induced by Nonlinear Pollution Absorption, Pollution Emission Rate and Effectiveness of Abatement Technology in an OLG Model. Sustainability 2017, 9, 746.

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