IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v104y2017icp705-715.html
   My bibliography  Save this article

Study on the effect of environmental pollution based on a fractional derivative resource depletion model

Author

Listed:
  • Lin, Zifei
  • Xu, Wei
  • Yue, Xiaole
  • Han, Qun

Abstract

The effect of resource usage on economic growth has been investigated in many papers and the generic effect of resource usage efficacy by improving technical skills has been discussed. However, the impact of environmental pollution and the effect of memory property of the economic variables on economic growth have not been studied in detail. In this paper, a new resource depletion model, in which fractional derivative describes the memory property of economic variables, is built. Firstly, the influence of the environmental pollution on economic growth is analyzed. The results show the model is extreme sensitive to some parameters with considering the impact of environmental pollution. The small change of the parameters can lead a collapse of the economy in a short time. Meanwhile, new equilibrium region of economic growth can be obtained with considering the effect of the memory property of economic variables. Secondly, the effect of externally stochastic perturbation on the average of capital is studied, and the result shows random excitation can not only impede but also promote the development of the economy.

Suggested Citation

  • Lin, Zifei & Xu, Wei & Yue, Xiaole & Han, Qun, 2017. "Study on the effect of environmental pollution based on a fractional derivative resource depletion model," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 705-715.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:705-715
    DOI: 10.1016/j.chaos.2017.09.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077917303867
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2017.09.019?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Avinash Dixit & Peter Hammond & Michael Hoel, 1980. "On Hartwick's Rule for Regular Maximin Paths of Capital Accumulation and Resource Depletion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 551-556.
    2. Weitzman, Martin L., 2010. "Risk-adjusted gamma discounting," Journal of Environmental Economics and Management, Elsevier, vol. 60(1), pages 1-13, July.
    3. Laskin, Nick, 2000. "Fractional market dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 482-492.
    4. Chen, Wei-Ching, 2008. "Nonlinear dynamics and chaos in a fractional-order financial system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1305-1314.
    5. Zhaowen Zheng & Xiujuan Zhang & Jing Shao, 2014. "Existence for Certain Systems of Nonlinear Fractional Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, April.
    6. Wang, Min & Zhao, Jinhua & Bhattacharya, Joydeep, 2015. "Optimal health and environmental policies in a pollution-growth nexus," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 160-179.
    7. Vincent, Jeffery & Panayotou, Theodore & Hartwick, John, 1997. "Resource Depletion And Sustainability In Small Open Economies," Harvard Institute for International Development (HIID) Papers 294389, Harvard University, Kennedy School of Government.
    8. Nkuiya, Bruno, 2015. "Transboundary pollution game with potential shift in damages," Journal of Environmental Economics and Management, Elsevier, vol. 72(C), pages 1-14.
    9. Vincent, Jeffrey R. & Panayotou, Theodore & Hartwick, John M., 1997. "Resource Depletion and Sustainability in Small Open Economies," Journal of Environmental Economics and Management, Elsevier, vol. 33(3), pages 274-286, July.
    10. Stern,Nicholas, 2007. "The Economics of Climate Change," Cambridge Books, Cambridge University Press, number 9780521700801.
    11. Koizumi, Tetsunori & Kopecky, Kenneth J., 1977. "Economic growth, capital movements and the international transfer of technical knowledge," Journal of International Economics, Elsevier, vol. 7(1), pages 45-65, February.
    12. Berger, Thomas, 2001. "Agent-based spatial models applied to agriculture: a simulation tool for technology diffusion, resource use changes and policy analysis," Agricultural Economics, Blackwell, vol. 25(2-3), pages 245-260, September.
    13. Murty, Sushama & Robert Russell, R. & Levkoff, Steven B., 2012. "On modeling pollution-generating technologies," Journal of Environmental Economics and Management, Elsevier, vol. 64(1), pages 117-135.
    14. Groth, Christian & Schou, Poul, 2007. "Growth and non-renewable resources: The different roles of capital and resource taxes," Journal of Environmental Economics and Management, Elsevier, vol. 53(1), pages 80-98, January.
    15. William D. Nordhaus, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 686-702, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Andersen, Torben M. & Bhattacharya, Joydeep & Liu, Pan, 2020. "Resolving intergenerational conflict over the environment under the Pareto criterion," Journal of Environmental Economics and Management, Elsevier, vol. 100(C).
    2. Andersen, Torben M. & Bhattacharya, Joydeep & Liu, Pan, 2018. "A way to resolve intergenerational conflict over the environment under the Pareto criterion using green bonds," ISU General Staff Papers 201808240700001070, Iowa State University, Department of Economics.
    3. van den Bergh, J.C.J.M. & Botzen, W.J.W., 2015. "Monetary valuation of the social cost of CO2 emissions: A critical survey," Ecological Economics, Elsevier, vol. 114(C), pages 33-46.
    4. van der Ploeg, Frederick, 2010. "Why do many resource-rich countries have negative genuine saving?: Anticipation of better times or rapacious rent seeking," Resource and Energy Economics, Elsevier, vol. 32(1), pages 28-44, January.
    5. Yu, Yun & Lei, Yalin, 2017. "China's provincial exhaustible resources rent and produced capital stock—Based on Hartwick's rule," Resources Policy, Elsevier, vol. 52(C), pages 114-121.
    6. Geir B. Asheim, 2003. "Green national accounting for welfare and sustainability:A Taxonomy Of Assumptions And Results," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(2), pages 113-130, May.
    7. Nick Hanley & Louis Dupuy & Eoin McLaughlin, 2015. "Genuine Savings And Sustainability," Journal of Economic Surveys, Wiley Blackwell, vol. 29(4), pages 779-806, September.
    8. Geir B. Asheim & Rintaro Yamaguchi, 2023. "Comprehensive National Accounting for Carbon Emissions," CESifo Working Paper Series 10562, CESifo.
    9. Frederick Ploeg, 2011. "Rapacious Resource Depletion, Excessive Investment and Insecure Property Rights: A Puzzle," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 48(1), pages 105-128, January.
    10. Kirk Hamilton & Giovanni Ruta & Liaila Tajibaeva, 2006. "Capital Accumulation and Resource Depletion: A Hartwick Rule Counterfactual," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 34(4), pages 517-533, August.
    11. Kirk Hamilton & Giles Atkinson, 2013. "Resource Discoveries, Learning and National Income Accounting," GRI Working Papers 117, Grantham Research Institute on Climate Change and the Environment.
    12. Johansson-Stenman, Olof & Sterner, Thomas, 2015. "Discounting and relative consumption," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 19-33.
    13. Rintaro Yamaguchi & Masayuki Sato & Kazuhiro Ueta, 2016. "Measuring Regional Wealth and Assessing Sustainable Development: An Application to a Disaster-Torn Region in Japan," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 129(1), pages 365-389, October.
    14. Asheim, Geir B., 2000. "Green national accounting: why and how?," Environment and Development Economics, Cambridge University Press, vol. 5(1), pages 25-48, February.
    15. Geoffrey Heal & Antony Millner, 2013. "Discounting under Disagreement," NBER Working Papers 18999, National Bureau of Economic Research, Inc.
    16. Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2013. "Should we sustain? And if so, sustain what? Consumption or the quality of life?," Chapters, in: Roger Fouquet (ed.), Handbook on Energy and Climate Change, chapter 30, pages 639-665, Edward Elgar Publishing.
    17. Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2013. "Should we sustain? And if so, sustain what? Consumption or the quality of life?," Chapters,in: Handbook on Energy and Climate Change, chapter 30, pages 639-665 Edward Elgar Publishing.
    18. Moriah Bostian & Rolf Färe & Shawna Grosskopf & Tommy Lundgren & William L. Weber, 2018. "Time substitution for environmental performance: The case of Swedish manufacturing," Empirical Economics, Springer, vol. 54(1), pages 129-152, February.
    19. Edward Barbier, 2010. "Corruption and the Political Economy of Resource-Based Development: A Comparison of Asia and Sub-Saharan Africa," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 46(4), pages 511-537, August.
    20. Frederick van der Ploeg, 2007. "Genuine Saving and the Voracity Effect," Economics Working Papers ECO2007/38, European University Institute.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:705-715. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.