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Spatial structures in simulations of animal grouping

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  • Mirabet, Vincent
  • Auger, Pierre
  • Lett, Christophe

Abstract

We present numerical simulations of an animal grouping model based on individual behaviours of attraction, alignment and repulsion. We study the consequences on the simulated groups’ internal structures, of using different functions. These different functions which are adapted from the literature define the intensity, associated with these behaviours, as a distance function between individuals. We also investigate here the impacts of: the number of individuals, the number of influential neighbours and the strength of the alignment behaviour on the structures. We show that homogeneous groups can be identified when: the different functions used lead to a smooth transition from attraction to repulsion; alignment overcomes repulsion and attraction, in particular within this transition zone; and when there is a low number of influential neighbours. We also point out the fact that otherwise, the model results in heterogeneous internal structures, which take the form of a concentration of individuals in subgroups, in lines, or at the periphery of the groups.

Suggested Citation

  • Mirabet, Vincent & Auger, Pierre & Lett, Christophe, 2007. "Spatial structures in simulations of animal grouping," Ecological Modelling, Elsevier, vol. 201(3), pages 468-476.
    • Handle: RePEc:eee:ecomod:v:201:y:2007:i:3:p:468-476
    DOI: 10.1016/j.ecolmodel.2006.10.018
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    References listed on IDEAS

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    1. Czirók, András & Vicsek, Tamás, 2000. "Collective behavior of interacting self-propelled particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 17-29.
    2. Iain D. Couzin & Jens Krause & Nigel R. Franks & Simon A. Levin, 2005. "Effective leadership and decision-making in animal groups on the move," Nature, Nature, vol. 433(7025), pages 513-516, February.
    3. Czirók, András & Vicsek, Mária & Vicsek, Tamás, 1999. "Collective motion of organisms in three dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(1), pages 299-304.
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    Cited by:

    1. Halloway, Abdel H. & Malone, Margaret A. & Brown, Joel S., 2020. "Unstable population dynamics in obligate co-operators," Theoretical Population Biology, Elsevier, vol. 136(C), pages 1-11.
    2. Tyre, Andrew & Kerr, Gregory D. & Tenhumberg, Brigitte & Bull, C. Michael, 2007. "Identifying mechanistic models of spatial behaviour using pattern-based modelling: An example from lizard home ranges," Ecological Modelling, Elsevier, vol. 208(2), pages 307-316.
    3. Caron-Lormier, Geoffrey & Humphry, Roger W. & Bohan, David A. & Hawes, Cathy & Thorbek, Pernille, 2008. "Asynchronous and synchronous updating in individual-based models," Ecological Modelling, Elsevier, vol. 212(3), pages 522-527.

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