IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v263y2013icp273-280.html
   My bibliography  Save this article

Optimal short-term policies for protection of single biological species from local extinction

Author

Listed:
  • Cruz-Rivera, Erica
  • Vasilieva, Olga
  • Svinin, Mikhail

Abstract

This work introduces a finite-horizon bioeconomic growth model that links the biological evolution of a single species with the capital accumulation dynamics. The model is formulated as a problem of optimal control with non-consumptive objective regarding the biological species. The application of the Pontryagin's maximum principle allows designing a decision policy for short-term optimal planning and converts the optimal control problem to a two-point boundary value problem. The latter is then solved numerically using the MATLAB routine bvp4c. The results of numerical simulations suggest the existence of optimal policies capable to enhance even (initially) scarce species populations within a finite period of time. This supplements previous studies of various scholars where such policies were designed for infinite horizon and required initial abundance of the species.

Suggested Citation

  • Cruz-Rivera, Erica & Vasilieva, Olga & Svinin, Mikhail, 2013. "Optimal short-term policies for protection of single biological species from local extinction," Ecological Modelling, Elsevier, vol. 263(C), pages 273-280.
    • Handle: RePEc:eee:ecomod:v:263:y:2013:i:c:p:273-280
    DOI: 10.1016/j.ecolmodel.2013.05.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380013002755
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2013.05.013?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. 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.
    2. Cruz-Rivera, Erica & Vasilieva, Olga, 2013. "Optimal policies aimed at stabilization of populations with logistic growth under human intervention," Theoretical Population Biology, Elsevier, vol. 83(C), pages 123-135.
    3. Alexander, Robert R., 2000. "Modelling species extinction: the case for non-consumptive values," Ecological Economics, Elsevier, vol. 35(2), pages 259-269, November.
    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. Cruz-Rivera, Erica & Vasilieva, Olga, 2013. "Optimal policies aimed at stabilization of populations with logistic growth under human intervention," Theoretical Population Biology, Elsevier, vol. 83(C), pages 123-135.
    2. 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.
    3. Admiraal, Jeroen F. & Wossink, Ada & de Groot, Wouter T. & de Snoo, Geert R., 2013. "More than total economic value: How to combine economic valuation of biodiversity with ecological resilience," Ecological Economics, Elsevier, vol. 89(C), pages 115-122.
    4. Nghiem, Nhung, 2014. "Optimal rotation age for carbon sequestration and biodiversity conservation in Vietnam," Forest Policy and Economics, Elsevier, vol. 38(C), pages 56-64.
    5. Martinet, Vincent & Blanchard, Fabian, 2009. "Fishery externalities and biodiversity: Trade-offs between the viability of shrimp trawling and the conservation of Frigatebirds in French Guiana," Ecological Economics, Elsevier, vol. 68(12), pages 2960-2968, October.
    6. Mathilde Salin & Katie Kedward & Nepomuk Dunz, 2024. "Assessing Integrated Assessment Models for Building Global Nature-Economy Scenarios," Working papers 959, Banque de France.
    7. Bandara, Ranjith & Tisdell, Clement A., 2003. "Willingness to pay for different degrees of Abundance of Elephants," Economics, Ecology and Environment Working Papers 48966, University of Queensland, School of Economics.
    8. Paul C. Missios, 2004. "Wildlife trade and endangered species protection," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 48(4), pages 613-627, December.
    9. Christine Bertram & Martin F. Quaas, 2017. "Biodiversity and Optimal Multi-species Ecosystem Management," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(2), pages 321-350, June.
    10. Shyam Gouri Suresh & Scott Jeffrey, 2017. "The Consequences of Social Pressures on Partisan Opinion Dynamics," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 43(2), pages 242-259, March.
    11. Bertram, Christine, 2010. "Integrating biodiversity indices into a multi-species optimal control model," Kiel Working Papers 1662, Kiel Institute for the World Economy (IfW Kiel).
    12. Bandara, Ranjith & Tisdell, Clement A., 2003. "Use and non-use values of wild Asian elephants: A total economic valuation approach," Economics, Ecology and Environment Working Papers 48961, University of Queensland, School of Economics.
    13. David Martin, 2014. "An integrated biological and economic individual-based model of tiger protection measures," Working Papers 14-04, Davidson College, Department of Economics, revised Jul 2014.
    14. Pierre Courtois & Charles Figuieres & Chloé Mulier, 2014. "Conservation Priorities when Species Interact: The Noah's Ark Metaphor Revisited," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-8, September.
    15. Melstrom, Richard T., 2014. "Managing apparent competition between the feral pigs and native foxes of Santa Cruz Island," Ecological Economics, Elsevier, vol. 107(C), pages 157-162.
    16. Fleming, Christopher M. & Alexander, Robert R., 2002. "The Economic Implications of a Multiple Species Approach to Bioeconomic Modelling," 2002 Conference (46th), February 13-15, 2002, Canberra, Australia 125082, Australian Agricultural and Resource Economics Society.
    17. Ram Ranjan, 2017. "Tuskers, tasty crops and the forest tribes in between: managing HECs through financial incentives in human–elephant–forest ecosystems," Journal of Environmental Economics and Policy, Taylor & Francis Journals, vol. 6(1), pages 79-95, January.
    18. Yukichika Kawata, 2007. "An Economic Analysis of the Influence of Different Attitudes Toward Game Animals: Emphasizing the Significance of Large Carnivores," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 6(2), pages 57-78, January.
    19. Pintassilgo, Pedro & Laukkanen, Marita & Kronbak, Lone Grønbæk & Lindroos, Marko, 2015. "International Fisheries Agreements and Non-consumptive Values," Discussion Papers on Economics 8/2015, University of Southern Denmark, Department of Economics.
    20. repec:dav:journl:y:2016:v:7:i:11:p:1272-1289 is not listed on IDEAS
    21. Courtois, Pierre & Figuières, Charles & Mulier, Chloe, 2019. "A Tale of Two Diversities," Ecological Economics, Elsevier, vol. 159(C), pages 133-147.

    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:ecomod:v:263:y:2013:i:c:p:273-280. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .

    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.