IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v420y2020ics0304380020300016.html
   My bibliography  Save this article

Dynamic optimal ration size in tilapia culture: Economic and environmental considerations

Author

Listed:
  • Domínguez-May, Roger
  • Poot-López, Gaspar R.
  • Hernández, Juan
  • Gasca-Leyva, Eucario

Abstract

Fish producers are facing high costs of food which rank between 30–60% out of total production costs. Optimal ration sizes are needed to improve management strategy by integrating technical-economic efficiency and minimizing environmental impacts. In contrast with the usual feeding practices in a farm and others consisting on normalized constant ratios, on this work non-constant optimal ration sizes throughout a culture cycle are determined. To do this, a bioeconomic model and the optimal control theory were employed. The model was parameterized for the case of farmed tilapia culture in Mexico and a potential type growth equation was selected. Optimal ration size trajectories were calculated for different destination markets (Monterrey, Mexico City, Cancun and On site) and different harvest sizes (200, 300 and 400 g). The higher net profit was obtained in the Monterrey market with 3,401.00USD/tank for tilapia of 400 g, whereas for sizes 300 and 200 g in Cancun the higher net profits were 2,505.04USD/tank and 1804.61USD/tank respectively. Likewise, produce small organisms to the markets of On site and Cancun generate less TAN and produce bigger fishes to the markets of Mexico and Monterrey increase TAN generate. We also present a discussion on the economic and ecological implications of optimal ration and decisions focused to the market management of tilapia.

Suggested Citation

  • Domínguez-May, Roger & Poot-López, Gaspar R. & Hernández, Juan & Gasca-Leyva, Eucario, 2020. "Dynamic optimal ration size in tilapia culture: Economic and environmental considerations," Ecological Modelling, Elsevier, vol. 420(C).
  • Handle: RePEc:eee:ecomod:v:420:y:2020:i:c:s0304380020300016
    DOI: 10.1016/j.ecolmodel.2020.108930
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380020300016
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ecolmodel.2020.108930?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. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, June.
    2. Brummett, Randall E. & Lazard, Jérôme & Moehl, John, 2008. "African aquaculture: Realizing the potential," Food Policy, Elsevier, vol. 33(5), pages 371-385, October.
    3. Bjorndal, Trond & Lane, Daniel E. & Weintraub, Andres, 2004. "Operational research models and the management of fisheries and aquaculture: A review," European Journal of Operational Research, Elsevier, vol. 156(3), pages 533-540, August.
    4. Oscar J. Cacho & Henry Kinnucan & Upton Hatch, 1991. "Optimal Control of Fish Growth," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(1), pages 174-183.
    5. Poot-López, Gaspar Román & Hernández, Juan M. & Gasca-Leyva, Eucario, 2010. "Input management in integrated agriculture-aquaculture systems in Yucatan: Tree spinach leaves as a dietary supplement in tilapia culture," Agricultural Systems, Elsevier, vol. 103(2), pages 98-104, February.
    6. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521337465.
    7. Gasca-Leyva, Eucario & Hernández, Juan M. & Veliov, Vladimir M., 2008. "Optimal harvesting time in a size-heterogeneous population," Ecological Modelling, Elsevier, vol. 210(1), pages 161-168.
    8. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586.
    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. Hernandez, Juan M. & Leon-Santana, Miguel & Leon, Carmelo J., 2007. "The role of the water temperature in the optimal management of marine aquaculture," European Journal of Operational Research, Elsevier, vol. 181(2), pages 872-886, September.
    2. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 60-73.
    3. G. Feichtinger & A. Steindl, 2006. "DNS Curves in a Production/Inventory Model," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 295-308, February.
    4. Hennessy, David A., 2006. "Feeding and the Equilibrium Feeder Animal Price-Weight Schedule," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 31(2), pages 1-23, August.
    5. Behringer, Stefan & Upmann, Thorsten, 2017. "Harvesting a Remote Renewable Resource," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168250, Verein für Socialpolitik / German Economic Association.
    6. Micahel Caputo, 2011. "Optimal Control and Resources," Working Papers 2011-07, University of Central Florida, Department of Economics.
    7. Simon, C. & Belyakov, A.O. & Feichtinger, G., 2012. "Minimizing the dependency ratio in a population with below-replacement fertility through immigration," Theoretical Population Biology, Elsevier, vol. 82(3), pages 158-169.
    8. Juan Hernández Guerra & Miguel León Santana & Carmelo León González, 2003. "Optiminación Dinámica en la gestión del cultivo de la dorada en la región mediterranea y canaria," Documentos de trabajo conjunto ULL-ULPGC 2003-05, Facultad de Ciencias Económicas de la ULPGC.
    9. I. Zeiler & J.P. Caulkins & G. Tragler, 2011. "Optimal Control of Interacting Systems with DNSS Property: The Case of Illicit Drug Use," Post-Print hal-00978258, HAL.
    10. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 60-73, April.
    11. Frédéric Gannon & Vincent Touzé, 2006. "Insurance and Optimal Growth," Post-Print halshs-00085181, HAL.
    12. Horioka, Charles Yuji & Gahramanov, Emin & Hayat, Aziz & Tang, Xueli, 2021. "The impact of bequest motives on labor supply and retirement behavior in Japan: A theoretical and empirical analysis," Journal of the Japanese and International Economies, Elsevier, vol. 62(C).
    13. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
    14. Alice Issanchou & Karine Daniel & Pierre Dupraz & Carole Ropars-Collet, 2018. "Soil resource and the profitability and sustainability of farms: A soil quality investment model," Working Papers SMART 18-01, INRAE UMR SMART.
    15. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    16. Manuel A. Gómez, 2022. "The good, the bad and the worse: current, past and future consumption externalities and equilibrium efficiency," Journal of Economics, Springer, vol. 137(3), pages 195-228, December.
    17. Jason P. Brown & Dayton M. Lambert & Raymond J. G. M. Florax, 2013. "The Birth, Death, and Persistence of Firms: Creative Destruction and the Spatial Distribution of U.S. Manufacturing Establishments, 2000–2006," Economic Geography, Clark University, vol. 89(3), pages 203-226, July.
    18. Laussel, Didier & Resende, Joana, 2014. "Dynamic price competition in aftermarkets with network effects," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 106-118.
    19. Brekke, Kurt R. & Cellini, Roberto & Siciliani, Luigi & Straume, Odd Rune, 2010. "Competition and quality in health care markets: A differential-game approach," Journal of Health Economics, Elsevier, vol. 29(4), pages 508-523, July.
    20. Florence Lachet-Touya, 2016. "EU tax competition and tax avoidance: A multiprincipal perspective," Working papers of CATT hal-02939340, HAL.

    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:420:y:2020:i:c:s0304380020300016. 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.