IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0167054.html
   My bibliography  Save this article

On the Effects of Artificial Feeding on Bee Colony Dynamics: A Mathematical Model

Author

Listed:
  • Juliana Pereira Lisboa Mohallem Paiva
  • Henrique Mohallem Paiva
  • Elisa Esposito
  • Michelle Manfrini Morais

Abstract

This paper proposes a new mathematical model to evaluate the effects of artificial feeding on bee colony population dynamics. The proposed model is based on a classical framework and contains differential equations that describe the changes in the number of hive bees, forager bees, and brood cells, as a function of amounts of natural and artificial food. The model includes the following elements to characterize the artificial feeding scenario: a function to model the preference of the bees for natural food over artificial food; parameters to quantify the quality and palatability of artificial diets; a function to account for the efficiency of the foragers in gathering food under different environmental conditions; and a function to represent different approaches used by the beekeeper to feed the hive with artificial food. Simulated results are presented to illustrate the main characteristics of the model and its behavior under different scenarios. The model results are validated with experimental data from the literature involving four different artificial diets. A good match between simulated and experimental results was achieved.

Suggested Citation

  • Juliana Pereira Lisboa Mohallem Paiva & Henrique Mohallem Paiva & Elisa Esposito & Michelle Manfrini Morais, 2016. "On the Effects of Artificial Feeding on Bee Colony Dynamics: A Mathematical Model," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-18, November.
    • Handle: RePEc:plo:pone00:0167054
    DOI: 10.1371/journal.pone.0167054
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0167054
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0167054&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0167054?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. Standifer, L. N. & Moeller, F. E. & Kauffeld, N. M. & Herbert, E. W. Jr. & Shimanuki, H., 1978. "Supplemental Feeding of Honey Bee Colonies," Agricultural Information Bulletins 309296, United States Department of Agriculture, Economic Research Service.
    2. Russell, Stephen & Barron, Andrew B. & Harris, David, 2013. "Dynamic modelling of honey bee (Apis mellifera) colony growth and failure," Ecological Modelling, Elsevier, vol. 265(C), pages 158-169.
    3. Schmickl, Thomas & Crailsheim, Karl, 2007. "HoPoMo: A model of honeybee intracolonial population dynamics and resource management," Ecological Modelling, Elsevier, vol. 204(1), pages 219-245.
    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. Joanne Lee Picknoll & Pieter Poot & Michael Renton, 2021. "A New Approach to Inform Restoration and Management Decisions for Sustainable Apiculture," Sustainability, MDPI, vol. 13(11), pages 1-20, May.
    2. Hong, Wei & Chen, Bingxue & Lu, Yuntao & Lu, Chuanqi & Liu, Shengping, 2022. "Using system equalization principle to study the effects of multiple factors to the development of bee colony," Ecological Modelling, Elsevier, vol. 470(C).

    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. Joanne Lee Picknoll & Pieter Poot & Michael Renton, 2021. "A New Approach to Inform Restoration and Management Decisions for Sustainable Apiculture," Sustainability, MDPI, vol. 13(11), pages 1-20, May.
    2. Luciano Pilati & Vasco Boatto, 2013. "Bio-Economics Of Allocatable Pollination Services: Sequential Choices And Jointness In Sites," DEM Discussion Papers 2013/18, Department of Economics and Management.
    3. Luciano Pilati & Vasco Boatto, 2014. "Jointness in Sites: The Case of Migratory Beekeeping," DEM Discussion Papers 2014/10, Department of Economics and Management.
    4. Rodriguez Messan, Marisabel & Page, Robert E. & Kang, Yun, 2018. "Effects of vitellogenin in age polyethism and population dynamics of honeybees," Ecological Modelling, Elsevier, vol. 388(C), pages 88-107.
    5. Messan, Komi & Rodriguez Messan, Marisabel & Chen, Jun & DeGrandi-Hoffman, Gloria & Kang, Yun, 2021. "Population dynamics of Varroa mite and honeybee: Effects of parasitism with age structure and seasonality," Ecological Modelling, Elsevier, vol. 440(C).
    6. Betti, Matthew I. & Lee, Isaac, 2020. "The effects of diploid male production on honey bee colony evolution and survival," Theoretical Population Biology, Elsevier, vol. 135(C), pages 49-55.
    7. Jamal M Jefferson & Hilary A Dolstad & Meera D Sivalingam & Jonathan W Snow, 2013. "Barrier Immune Effectors Are Maintained during Transition from Nurse to Forager in the Honey Bee," PLOS ONE, Public Library of Science, vol. 8(1), pages 1-10, January.
    8. Becher, Matthias A. & Hildenbrandt, Hanno & Hemelrijk, Charlotte K. & Moritz, Robin F.A., 2010. "Brood temperature, task division and colony survival in honeybees: A model," Ecological Modelling, Elsevier, vol. 221(5), pages 769-776.
    9. A. Champetier & D. Sumner & J. Wilen, 2015. "The Bioeconomics of Honey Bees and Pollination," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 60(1), pages 143-164, January.
    10. Russell, Stephen & Barron, Andrew B. & Harris, David, 2013. "Dynamic modelling of honey bee (Apis mellifera) colony growth and failure," Ecological Modelling, Elsevier, vol. 265(C), pages 158-169.
    11. Mitra, Aditee, 2009. "Are closure terms appropriate or necessary descriptors of zooplankton loss in nutrient–phytoplankton–zooplankton type models?," Ecological Modelling, Elsevier, vol. 220(5), pages 611-620.
    12. Hong, Wei & Chen, Bingxue & Lu, Yuntao & Lu, Chuanqi & Liu, Shengping, 2022. "Using system equalization principle to study the effects of multiple factors to the development of bee colony," Ecological Modelling, Elsevier, vol. 470(C).
    13. Kuan, A. Carmen & DeGrandi-Hoffman, Gloria & Curry, Robert J. & Garber, Kristina V. & Kanarek, Andrew R. & Snyder, Marcia N. & Wolfe, Kurt L. & Purucker, S. Thomas, 2018. "Sensitivity analyses for simulating pesticide impacts on honey bee colonies," Ecological Modelling, Elsevier, vol. 376(C), pages 15-27.

    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:plo:pone00:0167054. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.