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An individual-based model for studying the aggregation behavior in phytoplankton

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  • El Saadi, N.
  • Bah, A.

Abstract

In this paper, we use an individual-based model (IBM) in order to study the aggregation of phytoplankton cells. The model describes the movements of cells and also the cells’ division and their death. The movement of a phytoplankton cell is based on an Itô stochastic differential equation with a drift term describing the spatial interactions of the phytoplankton cell with the other cells in the system and a dispersion term representing the cell diffusion. The demographical process is described by the mean of a branching process. We simulate the IBM model and present some particle pictures showing the spatial structure of the phytoplankton cells. We focus on the effects of the different processes involving at the level of the phytoplankton cell (diffusion, spatial interactions, branching) on the spatial distribution of the phytoplankton to help the understanding of the aggregation phenomenon in phytoplankton.

Suggested Citation

  • El Saadi, N. & Bah, A., 2007. "An individual-based model for studying the aggregation behavior in phytoplankton," Ecological Modelling, Elsevier, vol. 204(1), pages 193-212.
    • Handle: RePEc:eee:ecomod:v:204:y:2007:i:1:p:193-212
    DOI: 10.1016/j.ecolmodel.2007.01.003
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    References listed on IDEAS

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    1. W. R. Young & A. J. Roberts & G. Stuhne, 2001. "Reproductive pair correlations and the clustering of organisms," Nature, Nature, vol. 412(6844), pages 328-331, July.
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    Cited by:

    1. Bordj, Naziha & Saadi, Nadjia El, 2022. "Moment approximation of individual-based models. Application to the study of the spatial dynamics of phytoplankton populations," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    2. Hellweger, Ferdi L. & Bucci, Vanni, 2009. "A bunch of tiny individuals—Individual-based modeling for microbes," Ecological Modelling, Elsevier, vol. 220(1), pages 8-22.
    3. Bouderbala, Ilhem & El Saadi, Nadjia & Bah, Alassane & Auger, Pierre, 2019. "A simulation study on how the resource competition and anti-predator cooperation impact the motile-phytoplankton groups’ formation under predation stress," Ecological Modelling, Elsevier, vol. 391(C), pages 16-28.
    4. Su, Min & Hui, Cang & Zhang, Yanyu & Li, Zizhen, 2009. "How does the spatial structure of habitat loss affect the eco-epidemic dynamics?," Ecological Modelling, Elsevier, vol. 220(1), pages 51-59.

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