IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v222y2011i17p3041-3049.html
   My bibliography  Save this article

Metric–topological interaction model of collective behavior

Author

Listed:
  • Niizato, Takayuki
  • Gunji, Yukio-Pegio

Abstract

Many simulations of collective behavior have been presented in recent years. Recently, a pioneering study by Ballerini et al. (2008a,b) suggested that the interactions of birds in a flock should be modeled using the topological distance rather than the metric distance. The concept of topological distance is deemed important for explaining collective behavior. However, few studies have discussed the distinctions between the metric and topological distances. In this paper, we clarify the difference between models based on the topological and metric distances and propose a new hybrid model of these models. The agent of our model switches between these two interactions by tuning the threshold parameters. We show that this hybrid flocking model has the medium property between the metric and the topological distance. In other words, the agents of our hybrid model can dramatically make and divide flock by tuning their neighborhoods. This result suggests that making and dividing flock would be deeply connected with animal's cognition.

Suggested Citation

  • Niizato, Takayuki & Gunji, Yukio-Pegio, 2011. "Metric–topological interaction model of collective behavior," Ecological Modelling, Elsevier, vol. 222(17), pages 3041-3049.
    • Handle: RePEc:eee:ecomod:v:222:y:2011:i:17:p:3041-3049
    DOI: 10.1016/j.ecolmodel.2011.06.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380011003413
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2011.06.008?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. H. Hildenbrandt & C. Carere & C.K. Hemelrijk, 2010. "Self-organized aerial displays of thousands of starlings: a model," Behavioral Ecology, International Society for Behavioral Ecology, vol. 21(6), pages 1349-1359.
    2. Dirk Helbing & Joachim Keltsch & Péter Molnár, 1997. "Modelling the evolution of human trail systems," Nature, Nature, vol. 388(6637), pages 47-50, July.
    3. Charlotte K. Hemelrijk & Hanspeter Kunz, 2005. "Density distribution and size sorting in fish schools: an individual-based model," Behavioral Ecology, International Society for Behavioral Ecology, vol. 16(1), pages 178-187, January.
    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. Li, Zhaofeng & Jiang, Yichuan, 2014. "Friction based social force model for social foraging of sheep flock," Ecological Modelling, Elsevier, vol. 273(C), pages 55-62.
    2. Zhang, Xiangyin & Fan, Suyao & Wu, Weihuan, 2023. "Enhancing synchronization of self-propelled particles via modified rule of fixed number of neighbors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(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. Romey, William L. & Vidal, Jose M., 2013. "Sum of heterogeneous blind zones predict movements of simulated groups," Ecological Modelling, Elsevier, vol. 258(C), pages 9-15.
    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. Moritz, Mark & Hamilton, Ian M. & Yoak, Andrew J. & Scholte, Paul & Cronley, Jeff & Maddock, Paul & Pi, Hongyang, 2015. "Simple movement rules result in ideal free distribution of mobile pastoralists," Ecological Modelling, Elsevier, vol. 305(C), pages 54-63.
    4. Kong, Decheng & Xue, Kai & Wang, Ping, 2024. "Collective queuing motion of self-propelled particles with leadership and experience," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    5. Angelo M Calvão & Edgardo Brigatti, 2014. "The Role of Neighbours Selection on Cohesion and Order of Swarms," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-9, May.
    6. Reuter, Hauke & Kruse, Maren & Rovellini, Alberto & Breckling, Broder, 2016. "Evolutionary trends in fish schools in heterogeneous environments," Ecological Modelling, Elsevier, vol. 326(C), pages 23-35.
    7. Huang, Jiechen & Wang, Juan & Xia, Chengyi, 2020. "Role of vaccine efficacy in the vaccination behavior under myopic update rule on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    8. Barbaro, Alethea B.T. & Taylor, Kirk & Trethewey, Peterson F. & Youseff, Lamia & Birnir, Björn, 2009. "Discrete and continuous models of the dynamics of pelagic fish: Application to the capelin," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(12), pages 3397-3414.
    9. Gašper Jaklič & Tadej Kanduč & Selena Praprotnik & Emil Žagar, 2012. "Energy Minimizing Mountain Ascent," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 680-693, November.
    10. Mehdi Moussaïd & Elsa G Guillot & Mathieu Moreau & Jérôme Fehrenbach & Olivier Chabiron & Samuel Lemercier & Julien Pettré & Cécile Appert-Rolland & Pierre Degond & Guy Theraulaz, 2012. "Traffic Instabilities in Self-Organized Pedestrian Crowds," PLOS Computational Biology, Public Library of Science, vol. 8(3), pages 1-10, March.
    11. Giacomini, Henrique Corrêa & De Marco, Paulo & Petrere, Miguel, 2009. "Exploring community assembly through an individual-based model for trophic interactions," Ecological Modelling, Elsevier, vol. 220(1), pages 23-39.
    12. Demšar, Jure & Hemelrijk, Charlotte K. & Hildenbrandt, Hanno & Bajec, Iztok Lebar, 2015. "Simulating predator attacks on schools: Evolving composite tactics," Ecological Modelling, Elsevier, vol. 304(C), pages 22-33.
    13. Vabø, Rune & Skaret, Georg, 2008. "Emerging school structures and collective dynamics in spawning herring: A simulation study," Ecological Modelling, Elsevier, vol. 214(2), pages 125-140.
    14. Ye Yuan & Xuebo Chen & Qiubai Sun & Tianyun Huang, 2017. "Analysis of topological relationships and network properties in the interactions of human beings," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-22, August.
    15. Ingo Schiffner & Tristan Perez & Mandyam V Srinivasan, 2016. "Strategies for Pre-Emptive Mid-Air Collision Avoidance in Budgerigars," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-10, September.
    16. Jiang, Rui & Wu, Qing-Song, 2006. "The moving behavior of a large object in the crowds in a narrow channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 457-463.
    17. Manuel Stein & Halldór Janetzko & Daniel Seebacher & Alexander Jäger & Manuel Nagel & Jürgen Hölsch & Sven Kosub & Tobias Schreck & Daniel A. Keim & Michael Grossniklaus, 2017. "How to Make Sense of Team Sport Data: From Acquisition to Data Modeling and Research Aspects," Data, MDPI, vol. 2(1), pages 1-23, January.
    18. Pascal P Klamser & Pawel Romanczuk, 2021. "Collective predator evasion: Putting the criticality hypothesis to the test," PLOS Computational Biology, Public Library of Science, vol. 17(3), pages 1-21, March.
    19. Dirk Helbing & Lubos Buzna & Anders Johansson & Torsten Werner, 2005. "Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions," Transportation Science, INFORMS, vol. 39(1), pages 1-24, February.
    20. Dkhili, Jamila & Berger, Uta & Idrissi Hassani, Lalla Mina & Ghaout, Saïd & Peters, Ronny & Piou, Cyril, 2017. "Self-organized spatial structures of locust groups emerging from local interaction," Ecological Modelling, Elsevier, vol. 361(C), pages 26-40.

    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:222:y:2011:i:17:p:3041-3049. 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.