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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
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    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).

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