{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1364233268305217536.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1073/pnas.0711437105"}},{"identifier":{"@type":"URI","@value":"https://pnas.org/doi/pdf/10.1073/pnas.0711437105"}}],"dc:title":[{"@value":"Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>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.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380004055521130631","@type":"Researcher","foaf:name":[{"@value":"M. Ballerini"}],"jpcoar:affiliationName":[{"@value":"*Centre for Statistical Mechanics and Complexity (SMC), Consiglio Nazionale delle Ricerche-Istituto Nazionale per la Fisica della Materia,"},{"@value":"Istituto Superiore di Sanita', viale Regina Elena 299, 00161 Roma, Italy;"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217539","@type":"Researcher","foaf:name":[{"@value":"N. Cabibbo"}],"jpcoar:affiliationName":[{"@value":"Dipartimento di Fisica, and"},{"@value":"Sezione Instituto Nazionale di Fisica Nucleare, Universita' di Roma “La Sapienza,” Piazzale Aldo Moro 2, 00185 Roma, Italy;"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217536","@type":"Researcher","foaf:name":[{"@value":"R. Candelier"}],"jpcoar:affiliationName":[{"@value":"Dipartimento di Fisica, and"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217547","@type":"Researcher","foaf:name":[{"@value":"A. Cavagna"}],"jpcoar:affiliationName":[{"@value":"*Centre for Statistical Mechanics and Complexity (SMC), Consiglio Nazionale delle Ricerche-Istituto Nazionale per la Fisica della Materia,"},{"@value":"Istituto dei Sistemi Complessi (ISC), Consiglio Nazionale delle Ricerche, via dei Taurini 19, 00185 Roma, Italy; and"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217546","@type":"Researcher","foaf:name":[{"@value":"E. Cisbani"}],"jpcoar:affiliationName":[{"@value":"Istituto Superiore di Sanita', viale Regina Elena 299, 00161 Roma, Italy;"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217541","@type":"Researcher","foaf:name":[{"@value":"I. Giardina"}],"jpcoar:affiliationName":[{"@value":"*Centre for Statistical Mechanics and Complexity (SMC), Consiglio Nazionale delle Ricerche-Istituto Nazionale per la Fisica della Materia,"},{"@value":"Istituto dei Sistemi Complessi (ISC), Consiglio Nazionale delle Ricerche, via dei Taurini 19, 00185 Roma, Italy; and"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217538","@type":"Researcher","foaf:name":[{"@value":"V. Lecomte"}],"jpcoar:affiliationName":[{"@value":"Laboratoire Matière et Systèmes Complexes, (Centre National de la Recherche Scientifique Unite Mixte de Recherche 7057), Université Paris VII, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217542","@type":"Researcher","foaf:name":[{"@value":"A. Orlandi"}],"jpcoar:affiliationName":[{"@value":"*Centre for Statistical Mechanics and Complexity (SMC), Consiglio Nazionale delle Ricerche-Istituto Nazionale per la Fisica della Materia,"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217545","@type":"Researcher","foaf:name":[{"@value":"G. Parisi"}],"jpcoar:affiliationName":[{"@value":"*Centre for Statistical Mechanics and Complexity (SMC), Consiglio Nazionale delle Ricerche-Istituto Nazionale per la Fisica della Materia,"},{"@value":"Dipartimento di Fisica, and"},{"@value":"Sezione Instituto Nazionale di Fisica Nucleare, Universita' di Roma “La Sapienza,” Piazzale Aldo Moro 2, 00185 Roma, Italy;"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217537","@type":"Researcher","foaf:name":[{"@value":"A. Procaccini"}],"jpcoar:affiliationName":[{"@value":"*Centre for Statistical Mechanics and Complexity (SMC), Consiglio Nazionale delle Ricerche-Istituto Nazionale per la Fisica della Materia,"},{"@value":"Dipartimento di Fisica, and"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217540","@type":"Researcher","foaf:name":[{"@value":"M. Viale"}],"jpcoar:affiliationName":[{"@value":"Dipartimento di Fisica, and"}]},{"@id":"https://cir.nii.ac.jp/crid/1384233268305217543","@type":"Researcher","foaf:name":[{"@value":"V. Zdravkovic"}],"jpcoar:affiliationName":[{"@value":"*Centre for Statistical Mechanics and Complexity (SMC), Consiglio Nazionale delle Ricerche-Istituto Nazionale per la Fisica della Materia,"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00278424"},{"@type":"EISSN","@value":"10916490"}],"prism:publicationName":[{"@value":"Proceedings of the National Academy of Sciences"}],"dc:publisher":[{"@value":"Proceedings of the National Academy of Sciences"}],"prism:publicationDate":"2008-01-29","prism:volume":"105","prism:number":"4","prism:startingPage":"1232","prism:endingPage":"1237"},"reviewed":"false","url":[{"@id":"https://pnas.org/doi/pdf/10.1073/pnas.0711437105"}],"createdAt":"2008-01-28","modifiedAt":"2024-02-21","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050008244167908864","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Polar pattern formation induced by 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Model"},{"@value":"渦対モデルによる自己流体推進体の集団運動(第1報)中立浮遊体の基本挙動"},{"@language":"ja-Kana","@value":"ウズツイ モデル ニ ヨル ジコ リュウタイ スイシンタイ ノ シュウダン ウンドウ(ダイ1ポウ)チュウリツ フユウタイ ノ キホン キョドウ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679480038144","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Structure and Dynamical Function of Fluctuation in Flocks"},{"@language":"ja","@value":"群れの中のゆらぎの構造と運動的機能"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679480674816","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Inherent Noise Can Contribute to Maintenance and/or Formation of a Swarm"},{"@value":"群れの維持·形成に寄与する内的ゆらぎ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679481175040","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Emergence of Anisotropy in Flock Simulations and Its Computational 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