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Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study

Numerical models indicate that collective animal behavior may emerge from simple local rules of interaction among the individuals. However, very little is known about the nature of such interaction, so that models and theories mostly rely on aprioristic assumptions. By reconstructing the three-dimen...

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Main Authors: Ballerini, M., Cabibbo, N., Candelier, R., Cavagna, A., Cisbani, E., Giardina, I., Lecomte, V., Orlandi, A., Parisi, G., Procaccini, A., Viale, M., Zdravkovic, V.
Formato: Artigo
Idioma:English
Publicado em: National Academy of Sciences 2008
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Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC2234121/
https://ncbi.nlm.nih.gov/pubmed/18227508
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0711437105
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spelling pubmed-22341212008-02-12 Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study Ballerini, M. Cabibbo, N. Candelier, R. Cavagna, A. Cisbani, E. Giardina, I. Lecomte, V. Orlandi, A. Parisi, G. Procaccini, A. Viale, M. Zdravkovic, V. Proc Natl Acad Sci U S A Biological Sciences Numerical models indicate that collective animal behavior may emerge from simple local rules of interaction among the individuals. However, very little is known about the nature of such interaction, so that models and theories mostly rely on aprioristic assumptions. By reconstructing the three-dimensional positions of individual birds in airborne flocks of a few thousand members, we show that the interaction does not depend on the metric distance, as most current models and theories assume, but rather on the topological distance. In fact, we discovered that each bird interacts on average with a fixed number of neighbors (six to seven), rather than with all neighbors within a fixed metric distance. We argue that a topological interaction is indispensable to maintain a flock's cohesion against the large density changes caused by external perturbations, typically predation. We support this hypothesis by numerical simulations, showing that a topological interaction grants significantly higher cohesion of the aggregation compared with a standard metric one. National Academy of Sciences 2008-01-29 2008-01-28 /pmc/articles/PMC2234121/ /pubmed/18227508 http://dx.doi.org/10.1073/pnas.0711437105 Text en © 2008 by The National Academy of Sciences of the USA
institution US National Library of Medicine
collection PubMed Central
language English
format Article
topic Biological Sciences
spellingShingle Biological Sciences
Ballerini, M.
Cabibbo, N.
Candelier, R.
Cavagna, A.
Cisbani, E.
Giardina, I.
Lecomte, V.
Orlandi, A.
Parisi, G.
Procaccini, A.
Viale, M.
Zdravkovic, V.
Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
description Numerical models indicate that collective animal behavior may emerge from simple local rules of interaction among the individuals. However, very little is known about the nature of such interaction, so that models and theories mostly rely on aprioristic assumptions. By reconstructing the three-dimensional positions of individual birds in airborne flocks of a few thousand members, we show that the interaction does not depend on the metric distance, as most current models and theories assume, but rather on the topological distance. In fact, we discovered that each bird interacts on average with a fixed number of neighbors (six to seven), rather than with all neighbors within a fixed metric distance. We argue that a topological interaction is indispensable to maintain a flock's cohesion against the large density changes caused by external perturbations, typically predation. We support this hypothesis by numerical simulations, showing that a topological interaction grants significantly higher cohesion of the aggregation compared with a standard metric one.
author Ballerini, M.
Cabibbo, N.
Candelier, R.
Cavagna, A.
Cisbani, E.
Giardina, I.
Lecomte, V.
Orlandi, A.
Parisi, G.
Procaccini, A.
Viale, M.
Zdravkovic, V.
author_facet Ballerini, M.
Cabibbo, N.
Candelier, R.
Cavagna, A.
Cisbani, E.
Giardina, I.
Lecomte, V.
Orlandi, A.
Parisi, G.
Procaccini, A.
Viale, M.
Zdravkovic, V.
author_sort Ballerini, M.
title Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
title_short Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
title_full Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
title_fullStr Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
title_full_unstemmed Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
title_sort interaction ruling animal collective behavior depends on topological rather than metric distance: evidence from a field study
publisher National Academy of Sciences
publisher_facet National Academy of Sciences
publishDate 2008
url https://ncbi.nlm.nih.gov/pmc/articles/PMC2234121/
https://ncbi.nlm.nih.gov/pubmed/18227508
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0711437105
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