IDEAS home Printed from https://ideas.repec.org/a/spr/comgts/v10y2013i4p365-396.html
   My bibliography  Save this article

Computation of viability kernels: a case study of by-catch fisheries

Author

Listed:
  • Jacek Krawczyk
  • Alastair Pharo
  • Oana Serea
  • Stewart Sinclair

Abstract

Traditional means of studying environmental economics and management problems consist of optimal control and dynamic game models that are solved for optimal or equilibrium strategies. Notwithstanding the possibility of multiple equilibria, the models’ users—managers or planners—will usually be provided with a single optimal or equilibrium strategy no matter how reliable, or unreliable, the underlying models and their parameters are. In this paper we follow an alternative approach to policy making that is based on viability theory. It establishes “satisficing” (in the sense of Simon), or viable, policies that keep the dynamic system in a constraint set and are, generically, multiple and amenable to each manager’s own prioritisation. Moreover, they can depend on fewer parameters than the optimal or equilibrium strategies and hence be more robust. For the determination of these (viable) policies, computation of “viability kernels” is crucial. We introduce a MATLAB application, under the name of VIKAASA, which allows us to compute approximations to viability kernels. We discuss two algorithms implemented in VIKAASA. One approximates the viability kernel by the locus of state space positions for which solutions to an auxiliary cost-minimising optimal control problem can be found. The lack of any solution implies the infinite value function and indicates an evolution which leaves the constraint set in finite time, therefore defining the point from which the evolution originates as belonging to the kernel’s complement. The other algorithm accepts a point as viable if the system’s dynamics can be stabilised from this point. We comment on the pros and cons of each algorithm. We apply viability theory and the VIKAASA software to a problem of by-catch fisheries exploited by one or two fleets and provide rules concerning the proportion of fish biomass and the fishing effort that a sustainable fishery’s exploitation should follow. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Jacek Krawczyk & Alastair Pharo & Oana Serea & Stewart Sinclair, 2013. "Computation of viability kernels: a case study of by-catch fisheries," Computational Management Science, Springer, vol. 10(4), pages 365-396, December.
    • Handle: RePEc:spr:comgts:v:10:y:2013:i:4:p:365-396
    DOI: 10.1007/s10287-013-0189-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10287-013-0189-z
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10287-013-0189-z?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. Bonneuil, Noel & Saint-Pierre, Patrick, 2008. "Beyond optimality: Managing children, assets, and consumption over the life cycle," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 227-241, February.
    2. Martinet, Vincent & Thebaud, Olivier & Doyen, Luc, 2007. "Defining viable recovery paths toward sustainable fisheries," Ecological Economics, Elsevier, vol. 64(2), pages 411-422, December.
    3. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    4. Doyen, Luc & Péreau, Jean-Christophe, 2012. "Sustainable coalitions in the commons," Mathematical Social Sciences, Elsevier, vol. 63(1), pages 57-64.
    5. repec:dau:papers:123456789/6869 is not listed on IDEAS
    6. Jacek Krawczyk & Christopher Sissons & Daniel Vincent, 2012. "Optimal versus satisfactory decision making: a case study of sales with a target," Computational Management Science, Springer, vol. 9(2), pages 233-254, May.
    7. Herrera, Guillermo E., 2005. "Stochastic bycatch, informational asymmetry, and discarding," Journal of Environmental Economics and Management, Elsevier, vol. 49(3), pages 463-483, May.
    8. BONNEUIL, Noël & BOUCEKKINE, Raouf, 2009. "Sustainability, optimality, and viability in the Ramsey model," LIDAM Discussion Papers CORE 2009074, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Martinet, V. & Doyen, L., 2007. "Sustainability of an economy with an exhaustible resource: A viable control approach," Resource and Energy Economics, Elsevier, vol. 29(1), pages 17-39, January.
    10. Dominique Pujal & Patrick Saint-Pierre, 2006. "Capture Basin Algorithm for Evaluating and Managing Complex Financial Instruments," Computing in Economics and Finance 2006 186, Society for Computational Economics.
    11. Doyen, L. & Thébaud, O. & Béné, C. & Martinet, V. & Gourguet, S. & Bertignac, M. & Fifas, S. & Blanchard, F., 2012. "A stochastic viability approach to ecosystem-based fisheries management," Ecological Economics, Elsevier, vol. 75(C), pages 32-42.
    12. Jacek Krawczyk & Rishab Sethi, 2007. "Satisficing Solutions for New Zealand Monetary Policy," Reserve Bank of New Zealand Discussion Paper Series DP2007/03, Reserve Bank of New Zealand.
    13. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Helene Gomes & Luc Doyen & Fabian Blanchard & Adrien Lagarde, 2021. "Viable and ecosystem-based management for tropical small-scale fisheries facing climate change," Bordeaux Economics Working Papers 2021-24, Bordeaux School of Economics (BSE).
    2. Pedro Gajardo & Luc Doyen, 2018. "Viability standards and multi-criteria maximin," Cahiers du GREThA (2007-2019) 2018-04, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    3. Doyen, L. & Armstrong, C. & Baumgärtner, S. & Béné, C. & Blanchard, F. & Cissé, A.A. & Cooper, R. & Dutra, L.X.C. & Eide, A. & Freitas, D. & Gourguet, S. & Gusmao, F. & Hardy, P.-Y. & Jarre, A. & Litt, 2019. "From no whinge scenarios to viability tree," Ecological Economics, Elsevier, vol. 163(C), pages 183-188.
    4. Krawczyk, Jacek B & Townsend, Wilbur, 2015. "Viability of an economy with constrained inequality," Working Paper Series 4689, Victoria University of Wellington, School of Economics and Finance.
    5. Jacek B. Krawczyk & Vladimir P. Petkov, 2022. "A Qualitative Game of Interest Rate Adjustments with a Nuisance Agent," Games, MDPI, vol. 13(5), pages 1-24, August.
    6. Anita King, 2018. "Living Standards Analysis Model: The First Prototype," Treasury Working Paper Series 18/05, New Zealand Treasury.
    7. Schuhbauer, Anna & Sumaila, U. Rashid, 2016. "Economic viability and small-scale fisheries — A review," Ecological Economics, Elsevier, vol. 124(C), pages 69-75.
    8. Krawczyk, Jacek B. & Judd, Kenneth L., 2014. "Which economic states are sustainable under a slightly constrained tax-rate adjustment policy," MPRA Paper 59027, University Library of Munich, Germany.
    9. Luc DOYEN & Claire ARMSTRONG & Stefan BAUMGARTNER & Christophe BÉNÉ & Fabian BLANCHARD & Abdoul Ahad CISSÉ & Rachel COOPER & Léo DUTA & Debora FREITAS & Sophie GOURGUET & Felipe GUSMAO & Astrid JARRE , 2017. "From no whinge policy to viability tree," Cahiers du GREThA (2007-2019) 2017-12, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    10. Krawczyk, Jacek B & Pharo, Alastair S, 2014. "InfsocSol3: An updated MATLAB® package for approximating the solution to a continuous-time infinite horizon stochastic optimal control problem," Working Paper Series 18832, Victoria University of Wellington, School of Economics and Finance.
    11. Krawczyk, Jacek B & Pharo, Alastair S, 2014. "InfsocSol3: An updated MATLAB® package for approximating the solution to a continuous-time infinite horizon stochastic optimal control problem," Working Paper Series 3412, Victoria University of Wellington, School of Economics and Finance.
    12. Krawczyk, Jacek B & Townsend, Wilbur, 2015. "Viability of an economy with constrained inequality," Working Paper Series 19335, Victoria University of Wellington, School of Economics and Finance.
    13. Antoine Brias & Jean-Denis Mathias & Guillaume Deffuant, 2016. "Accelerating viability kernel computation with CUDA architecture: application to bycatch fishery management," Computational Management Science, Springer, vol. 13(3), pages 371-391, July.

    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. Krawczyk, Jacek B & Townsend, Wilbur, 2015. "Viability of an economy with constrained inequality," Working Paper Series 4689, Victoria University of Wellington, School of Economics and Finance.
    2. Jacek B. Krawczyk & Vladimir P. Petkov, 2022. "A Qualitative Game of Interest Rate Adjustments with a Nuisance Agent," Games, MDPI, vol. 13(5), pages 1-24, August.
    3. Krawczyk, Jacek B & Townsend, Wilbur, 2015. "Viability of an economy with constrained inequality," Working Paper Series 19335, Victoria University of Wellington, School of Economics and Finance.
    4. Krawczyk, Jacek B & Pharo, Alastair & Simpson, Mark, 2011. "Approximations to viability kernels for sustainable macroeconomic policies," Working Paper Series 1531, Victoria University of Wellington, School of Economics and Finance.
    5. Krawczyk, Jacek B & Pharo, Alastair S, 2014. "Manual of VIKAASA 2.0: An application for computing and graphing viability kernels for simple viability problems," Working Paper Series 3432, Victoria University of Wellington, School of Economics and Finance.
    6. Krawczyk, Jacek B & Pharo, Alastair S, 2011. "Manual of VIKAASA: An application capable of computing and graphing viability kernels for simple viability problems," Working Paper Series 1878, Victoria University of Wellington, School of Economics and Finance.
    7. Krawczyk, Jacek B. & Judd, Kenneth L., 2014. "Which economic states are sustainable under a slightly constrained tax-rate adjustment policy," MPRA Paper 59027, University Library of Munich, Germany.
    8. Krawczyk, Jacek B. & Serea, Oana-Silvia, 2007. "A viability theory approach to a two-stage optimal control problem," MPRA Paper 10103, University Library of Munich, Germany.
    9. Péreau, J.-C. & Doyen, L. & Little, L.R. & Thébaud, O., 2012. "The triple bottom line: Meeting ecological, economic and social goals with individual transferable quotas," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 419-434.
    10. Schuhbauer, Anna & Sumaila, U. Rashid, 2016. "Economic viability and small-scale fisheries — A review," Ecological Economics, Elsevier, vol. 124(C), pages 69-75.
    11. Krawczyk, Jacek B & Pharo, Alastair S, 2014. "Manual of VIKAASA 2.0: An application for computing and graphing viability kernels for simple viability problems," Working Paper Series 18839, Victoria University of Wellington, School of Economics and Finance.
    12. Jacek Krawczyk & Rishab Sethi, 2007. "Satisficing Solutions for New Zealand Monetary Policy," Reserve Bank of New Zealand Discussion Paper Series DP2007/03, Reserve Bank of New Zealand.
    13. Krawczyk, Jacek B & Pharo, Alastair & Simpson, Mark, 2011. "Approximations to viability kernels for sustainable macroeconomic policies," Working Paper Series 18551, Victoria University of Wellington, School of Economics and Finance.
    14. Baumgärtner, Stefan & Quaas, Martin F., 2009. "Ecological-economic viability as a criterion of strong sustainability under uncertainty," Ecological Economics, Elsevier, vol. 68(7), pages 2008-2020, May.
    15. Krawczyk, Jacek B., 2011. "Manual of VIKAASA: An application capable of computing and graphing viability kernels for simple viability problems," Working Paper Series 21186, Victoria University of Wellington, School of Economics and Finance.
    16. 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.
    17. L. Doyen & A. Cissé & S. Gourguet & L. Mouysset & P.-Y. Hardy & C. Béné & F. Blanchard & F. Jiguet & J.-C. Pereau & O. Thébaud, 2013. "Ecological-economic modelling for the sustainable management of biodiversity," Computational Management Science, Springer, vol. 10(4), pages 353-364, December.
    18. A.A. Cisse & L. Doyen & F. Blanchard & J.C. Pereau, 2013. "Stochastic viability of the coastal fishery in French Guiana," Documents de Travail 2013-07, CEREGMIA, Université des Antilles et de la Guyane.
    19. Jean-Christophe Pereau & Lauriane Mouysset & Luc Doyen, 2018. "Groundwater Management in a Food Security Context," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 71(2), pages 319-336, October.
    20. Doyen, L. & Thébaud, O. & Béné, C. & Martinet, V. & Gourguet, S. & Bertignac, M. & Fifas, S. & Blanchard, F., 2012. "A stochastic viability approach to ecosystem-based fisheries management," Ecological Economics, Elsevier, vol. 75(C), pages 32-42.

    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:spr:comgts:v:10:y:2013:i:4:p:365-396. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.