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A review of mathematical models in economic environmental problems

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  • Zbigniew Nahorski
  • Hans Ravn

Abstract

The paper presents a review of mathematical models used in economic analysis of environmental problems. This area of research combines macroeconomic models of growth, as dependent on capital, labour, resources, etc., with environmental models describing such phenomena like natural resources exhaustion or pollution accumulation and degradation. In simpler cases the models can be treated analytically and the utility function can be optimized using, e.g., such tools as the maximum principle. In more complicated cases calculation of the optimal environmental policies requires a computer solution. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Zbigniew Nahorski & Hans Ravn, 2000. "A review of mathematical models in economic environmental problems," Annals of Operations Research, Springer, vol. 97(1), pages 165-201, December.
    • Handle: RePEc:spr:annopr:v:97:y:2000:i:1:p:165-201:10.1023/a:1018913316076
    DOI: 10.1023/A:1018913316076
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    Cited by:

    1. Gongbing Bi & Yan Luo & Jingjing Ding & Liang Liang, 2015. "Environmental performance analysis of Chinese industry from a slacks-based perspective," Annals of Operations Research, Springer, vol. 228(1), pages 65-80, May.
    2. Noor Ramli & Susila Munisamy & Behrouz Arabi, 2013. "Scale directional distance function and its application to the measurement of eco-efficiency in the manufacturing sector," Annals of Operations Research, Springer, vol. 211(1), pages 381-398, December.
    3. Ma-Lin Song & Ron Fisher & Jian-Lin Wang & Lian-Biao Cui, 2018. "Environmental performance evaluation with big data: theories and methods," Annals of Operations Research, Springer, vol. 270(1), pages 459-472, November.
    4. Assaad Ghazouani, 2023. "Optimization of water use in agriculture," Economics Bulletin, AccessEcon, vol. 43(1), pages 99-107.
    5. N. Jawahar & G. Satish Pandian & Angappa Gunasekaran & Nachiappan Subramanian, 2017. "An Optimization Model for Sustainability Program," Annals of Operations Research, Springer, vol. 250(2), pages 389-425, March.
    6. António M Lopes & J A Tenreiro Machado & John S Huffstot & Maria Eugénia Mata, 2018. "Dynamical analysis of the global business-cycle synchronization," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-25, February.
    7. Elke Moser & Andrea Seidl & Gustav Feichtinger, 2014. "History-dependence in production-pollution-trade-off models: a multi-stage approach," Annals of Operations Research, Springer, vol. 222(1), pages 457-481, November.

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