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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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| Idioma: | English |
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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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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 |
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US National Library of Medicine |
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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 |
| _version_ |
1760527062265757696 |