Geodesic
Modeling of Environmental Adaptation versus Pollution Mitigation
Y. Yatsenko1 ; N. Hritonenko2 ; T. Bréchet3
1 School of Business, Houston Baptist University, 7502 Fondren, Houston, Texas 77074, USA
2 Department of Mathematics, Prairie View A&M University, Prairie View, Texas 77446, USA
3 Université catholique de Louvain, CORE and Louvain School of Management, Belgium
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 4, pp. 227-237.

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The paper combines analytic and numeric tools to investigate a nonlinear optimal control problem relevant to the economics of climate change. The problem describes optimal investments into pollution mitigation and environmental adaptation at a macroeconomic level. The steady-state analysis of this problem focuses on the optimal ratio between adaptation and mitigation. In particular, we analytically prove that the long-term investments into adaptation are profitable only for economies above certain efficiency threshold. Numerical simulation is provided to estimate how the economic efficiency and capital deterioration affect the optimal policy.
DOI : 10.1051/mmnp/20149414

Y. Yatsenko 1 ; N. Hritonenko 2 ; T. Bréchet 3

1 School of Business, Houston Baptist University, 7502 Fondren, Houston, Texas 77074, USA
2 Department of Mathematics, Prairie View A&M University, Prairie View, Texas 77446, USA
3 Université catholique de Louvain, CORE and Louvain School of Management, Belgium 
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Y. Yatsenko; N. Hritonenko; T. Bréchet. Modeling of Environmental Adaptation versus Pollution Mitigation. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 4, pp. 227-237. doi : 10.1051/mmnp/20149414. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149414/

[1] S. Agrawala, F. Bosello, C. Carraro, E. De Cian, E. Lanzi International Review of Environmental and Resource Economics 2011 245 284

[2] R.J. Barro, X. Sala-i-Martin . Economic Growth, NewYork, McGraw Hill, (1995).

[3] F. Bosello, C. Carraro, E. De Cian Climate Change Economics 2010 71 92

[4] Th. Bréchet, N. Hritonenko, Yu. Yatsenko Environmental and Resource Economics 2013 217 243

[5] L. Bretschger, S. Valente The Scandinavian Journal of Economics 2011 825 845

[6] S. Buob, G. Stephan European Journal of Political Economy 2011 1 16

[7] M.R. Caputo. Foundations of Dynamic Economic Analysis: Optimal Control Theory and Applications, Cambridge University Press, New York, (2005).

[8] C. Corduneanu. Integral Equations and Applications. Cambridge University Press, Cambridge UK, (1991).

[9] K. De Bruin, R. Dellink, Ar. Tol Climatic Change 2009 63 81

[10] G. Economides, A. Philippopoulos Review of Economic Dynamics 2008 207 219

[11] R. Goetz, N. Hritonenko, A. Xabadia, Ê Yu. Yatsenko Ecological Economics 2013 86 96

[12] N. Hritonenko, Yu. Yatsenko Journal of Optimization Theory and Applications 2005 109 127

[13] N. Hritonenko, Yu. Yatsenko Journal of Mathematical Economics 2010 1064 1078

[14] N. Hritonenko, Yu. Yatsenko Energy Economics 2012 1548 1556

[15] N. Hritonenko, Yu. Yatsenko Climate Change Economics 2013 1 24

[16] IPCC (2007). Climate Change 2007, Fourth Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press.

[17] L.E. Jones, R.E. Manuelli Review of Economic Dynamics 2001 369 405

[18] S. Kane, J.F. Shogren Climatic Change 2000 75 102

[19] D.G. Luenberger. Introduction to Dynamic Systems: Theory, Models, and Applications. John Wiley and Sons, New York, (1979).

[20] W.D. Nordhaus. A Question of Balance: Weighing the Options on Global Warming Policies. Yale University Press, New Haven London, (2008).

[21] C. Rosenzweig, M.L. Parry Nature 1994 133 138

[22] S. Shalizi, F. Lecocq The World Bank Research Observer 2009 1 27

[23] S. Smulders, R. Gradus European Journal of Political Economy 1996 505 532

[24] N. Vellinga Economic Modelling 1999 307 330

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