IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v201y2007i3p468-476.html
   My bibliography  Save this article

Spatial structures in simulations of animal grouping

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380006005102
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2006.10.018?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. 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.
    2. 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.
    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.
    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. 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.

    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. Becco, Ch. & Vandewalle, N. & Delcourt, J. & Poncin, P., 2006. "Experimental evidences of a structural and dynamical transition in fish school," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 487-493.
    2. Huepe, Cristián & Aldana, Maximino, 2008. "New tools for characterizing swarming systems: A comparison of minimal models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2809-2822.
    3. Simon Levin & Anastasios Xepapadeas, 2021. "On the Coevolution of Economic and Ecological Systems," Annual Review of Resource Economics, Annual Reviews, vol. 13(1), pages 355-377, October.
    4. Long-Hai Wang & Alexander Ulrich Ernst & Duo An & Ashim Kumar Datta & Boris Epel & Mrignayani Kotecha & Minglin Ma, 2021. "A bioinspired scaffold for rapid oxygenation of cell encapsulation systems," Nature Communications, Nature, vol. 12(1), pages 1-16, December.
    5. Richard P Mann, 2011. "Bayesian Inference for Identifying Interaction Rules in Moving Animal Groups," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-10, August.
    6. 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.
    7. Ma, Jian & Song, Wei-guo & Zhang, Jun & Lo, Siu-ming & Liao, Guang-xuan, 2010. "k-Nearest-Neighbor interaction induced self-organized pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2101-2117.
    8. Andrew Hoegh & Frank T. Manen & Mark Haroldson, 2021. "Agent-Based Models for Collective Animal Movement: Proximity-Induced State Switching," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 26(4), pages 560-579, December.
    9. Tamás Nepusz & Tamás Vicsek, 2013. "Hierarchical Self-Organization of Non-Cooperating Individuals," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-9, December.
    10. Amos Korman & Efrat Greenwald & Ofer Feinerman, 2014. "Confidence Sharing: An Economic Strategy for Efficient Information Flows in Animal Groups," PLOS Computational Biology, Public Library of Science, vol. 10(10), pages 1-10, October.
    11. Roy Harpaz & Minh Nguyet Nguyen & Armin Bahl & Florian Engert, 2021. "Precise visuomotor transformations underlying collective behavior in larval zebrafish," Nature Communications, Nature, vol. 12(1), pages 1-14, December.
    12. Li, Qing & Zhang, Lingwei & Jia, Yongnan & Lu, Tianzhao & Chen, Xiaojie, 2022. "Modeling, analysis, and optimization of three-dimensional restricted visual field metric-free swarms," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    13. Mathew Titus & George Hagstrom & James R Watson, 2021. "Unsupervised manifold learning of collective behavior," PLOS Computational Biology, Public Library of Science, vol. 17(2), pages 1-20, February.
    14. Sophie Lardy & Daniel Fortin & Olivier Pays, 2016. "Increased Exploration Capacity Promotes Group Fission in Gregarious Foraging Herbivores," PLOS ONE, Public Library of Science, vol. 11(12), pages 1-14, December.
    15. Fan, Kangqi & Pedrycz, Witold, 2016. "Opinion evolution influenced by informed agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 431-441.
    16. De Rosis, Alessandro, 2014. "Hydrodynamic effects on a predator approaching a group of preys," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 329-339.
    17. Shao, Zhi-Gang & Yang, Yan-Yan, 2015. "Effective strategies of collective evacuation from an enclosed space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 34-39.
    18. Panpan Yang & Maode Yan & Jiacheng Song & Ye Tang, 2019. "Self-Organized Fission-Fusion Control Algorithm for Flocking Systems Based on Intermittent Selective Interaction," Complexity, Hindawi, vol. 2019, pages 1-12, February.
    19. Li, Chenyang & Yang, Yonghui & Jiang, Guanjie & Chen, Xue-Bo, 2024. "Flocking for leader ability effect and formation obstacle avoidance of multi-agents based on different potential functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    20. Federico Pratissoli & Andreagiovanni Reina & Yuri Kaszubowski Lopes & Carlo Pinciroli & Genki Miyauchi & Lorenzo Sabattini & Roderich Groß, 2023. "Coherent movement of error-prone individuals through mechanical coupling," Nature Communications, Nature, vol. 14(1), pages 1-13, December.

    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:201:y:2007:i:3:p:468-476. 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.