IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2015y2015i1n369493.html

Optimal Control of Renewable Resources Based on the Effective Utilization Rate

Author

Listed:
  • Rui Wu
  • Zhengwei Shen
  • Fucheng Liao

Abstract

The effective utilization rate of exploited renewable resources affects the final total revenue and the further exploitation of renewable resources. Considering the effective utilization rate, we propose an optimal control model for the exploitation of the renewable resources in this study. Firstly, we can prove that the novel model is nonsingular compared with the singular basic model. Secondly, we solve the novel model and obtain the optimal solution by Bang‐Bang theory. Furthermore, we can determine the optimal total resources and the maximal total revenue. Finally, a numerical example is provided to verify the obtained theoretical results.

Suggested Citation

  • Rui Wu & Zhengwei Shen & Fucheng Liao, 2015. "Optimal Control of Renewable Resources Based on the Effective Utilization Rate," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:369493
    DOI: 10.1155/2015/369493
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2015/369493
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/369493?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
    ---><---

    References listed on IDEAS

    as
    1. McKelvey, Robert, 1985. "Decentralized regulation of a common property renewable resource industry with irreversible investment," Journal of Environmental Economics and Management, Elsevier, vol. 12(4), pages 287-307, December.
    2. Chongyang Liu & Ryan Loxton & Kok Lay Teo, 2014. "Switching Time and Parameter Optimization in Nonlinear Switched Systems with Multiple Time-Delays," Journal of Optimization Theory and Applications, Springer, vol. 163(3), pages 957-988, December.
    3. Smith, Martin D. & Zhang, Junjie & Coleman, Felicia C., 2005. "Bayesian Bioeconomics of Marine Reserves," 2005 Annual meeting, July 24-27, Providence, RI 19409, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    4. Clark, Colin W. & Munro, Gordon R., 1975. "The economics of fishing and modern capital theory: A simplified approach," Journal of Environmental Economics and Management, Elsevier, vol. 2(2), pages 92-106, December.
    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. Gordon Munro & U. Sumaila, 2015. "On the Contributions of Colin Clark to Fisheries Economics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(1), pages 1-17, May.
    2. Bene, C. & Doyen, L. & Gabay, D., 2001. "A viability analysis for a bio-economic model," Ecological Economics, Elsevier, vol. 36(3), pages 385-396, March.
    3. Martinet, Vincent & Thebaud, Olivier & Doyen, Luc, 2007. "Defining viable recovery paths toward sustainable fisheries," Ecological Economics, Elsevier, vol. 64(2), pages 411-422, December.
    4. Clark, Colin W. & Munro, Gordon R. & Sumaila, Ussif Rashid, 2005. "Subsidies, buybacks, and sustainable fisheries," Journal of Environmental Economics and Management, Elsevier, vol. 50(1), pages 47-58, July.
    5. Molina, Renato, 2022. "The lack of property rights can make natural disasters worse: The case of small-scale fisheries in Chile," Ecological Economics, Elsevier, vol. 200(C).
    6. Hutton, Trevor & Sumaila, Ussif Rashid, 2002. "Natural Resource Accounting And South African Fisheries: A Bio-Economic Assessment Of The West Coast Deep-Sea Hake Fishery With Reference To The Optimal Utilisation And Management Of The Resource," Discussion Papers 18018, University of Pretoria, Center for Environmental Economics and Policy in Africa.
    7. Eppink, Florian V. & van den Bergh, Jeroen C.J.M., 2007. "Ecological theories and indicators in economic models of biodiversity loss and conservation: A critical review," Ecological Economics, Elsevier, vol. 61(2-3), pages 284-293, March.
    8. Olli Tahvonen, 1991. "On the dynamics of renewable resource harvesting and pollution control," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 1(1), pages 97-117, March.
    9. Christian Elleby & Frank Jensen, 2018. "How Many Instruments Do We Really Need? A First-Best Optimal Solution to Multiple Objectives with Fisheries Regulation," IFRO Working Paper 2018/05, University of Copenhagen, Department of Food and Resource Economics.
    10. Yamazaki, Satoshi & Grafton, R. Quentin & Kompas, Tom, 2010. "Non-consumptive values and optimal marine reserve switching," Ecological Economics, Elsevier, vol. 69(12), pages 2427-2434, October.
    11. Grafton, R. Quentin & Kompas, Tom & Chu, Long & Che, Nhu, 2010. "Maximum economic yield," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 54(3), pages 1-8.
    12. Pedro Pintassilgo & Michael Finus & Marko Lindroos & Gordon Munro, 2010. "Stability and Success of Regional Fisheries Management Organizations," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 46(3), pages 377-402, July.
    13. Valentina Bosetti & David Tomberlin, 2004. "Fondazione Eni Enrico Mattei," Working Papers 2004.102, Fondazione Eni Enrico Mattei.
    14. Eric Nævdal, 2024. "Exogenous Hazard Rates and Precautionary Behaviour in Resource Economic Dynamics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 87(10), pages 2543-2569, October.
    15. B. N. Obegi & I. Sarfo & G. N. Morara & P. Boera & E. Waithaka & A. Mutie, 2020. "Bio-economic modeling of fishing activities in Kenya: the case of Lake Naivasha Ramsar site," Journal of Bioeconomics, Springer, vol. 22(1), pages 15-31, April.
    16. Lancker, Kira, 2025. "Over-capitalization in fisheries with irreversible investment and factor substitution," Ecological Economics, Elsevier, vol. 233(C).
    17. K. Erdlenbruch & M. Tidball, 2006. "Singular Optimal Control Model of Stock-Dependent Environmental Policies," Journal of Optimization Theory and Applications, Springer, vol. 131(1), pages 69-88, October.
    18. Colin W. Clark & Gordon R. Munro & U. Rashid Sumaila, 2010. "Limits to the Privatization of Fishery Resources," Land Economics, University of Wisconsin Press, vol. 86(2), pages 209-218.
    19. Ikerne del Valle & Inmaculada Astorkiza & Kepa Astorkiza, 2001. "Is the Current Regulation of the VIII Division European Anchovy Optimal?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 19(1), pages 53-72, May.
    20. Kube, Roland & Löschel, Andreas & Mertens, Henrik & Requate, Till, 2018. "Research trends in environmental and resource economics: Insights from four decades of JEEM," Journal of Environmental Economics and Management, Elsevier, vol. 92(C), pages 433-464.

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlaaa:v:2015:y:2015:i:1:n:369493. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.