Inherent noise can facilitate coherence in collective swarm motion

Handle URI:
http://hdl.handle.net/10754/598628
Title:
Inherent noise can facilitate coherence in collective swarm motion
Authors:
Yates, C. A.; Erban, R.; Escudero, C.; Couzin, I. D.; Buhl, J.; Kevrekidis, I. G.; Maini, P. K.; Sumpter, D. J. T.
Abstract:
Among the most striking aspects of the movement of many animal groups are their sudden coherent changes in direction. Recent observations of locusts and starlings have shown that this directional switching is an intrinsic property of their motion. Similar direction switches are seen in self-propelled particle and other models of group motion. Comprehending the factors that determine such switches is key to understanding the movement of these groups. Here, we adopt a coarse-grained approach to the study of directional switching in a self-propelled particle model assuming an underlying one-dimensional Fokker-Planck equation for the mean velocity of the particles. We continue with this assumption in analyzing experimental data on locusts and use a similar systematic Fokker-Planck equation coefficient estimation approach to extract the relevant information for the assumed Fokker-Planck equation underlying that experimental data. In the experiment itself the motion of groups of 5 to 100 locust nymphs was investigated in a homogeneous laboratory environment, helping us to establish the intrinsic dynamics of locust marching bands. We determine the mean time between direction switches as a function of group density for the experimental data and the self-propelled particle model. This systematic approach allows us to identify key differences between the experimental data and the model, revealing that individual locusts appear to increase the randomness of their movements in response to a loss of alignment by the group. We give a quantitative description of how locusts use noise to maintain swarm alignment. We discuss further how properties of individual animal behavior, inferred by using the Fokker-Planck equation coefficient estimation approach, can be implemented in the self-propelled particle model to replicate qualitatively the group level dynamics seen in the experimental data.
Citation:
Yates CA, Erban R, Escudero C, Couzin ID, Buhl J, et al. (2009) Inherent noise can facilitate coherence in collective swarm motion. Proceedings of the National Academy of Sciences 106: 5464–5469. Available: http://dx.doi.org/10.1073/pnas.0811195106.
Publisher:
Proceedings of the National Academy of Sciences
Journal:
Proceedings of the National Academy of Sciences
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
31-Mar-2009
DOI:
10.1073/pnas.0811195106
PubMed ID:
19336580
PubMed Central ID:
PMC2667078
Type:
Article
ISSN:
0027-8424; 1091-6490
Sponsors:
This work was supported by Engineering and Physical Sciences Research Council and Biotechnology and Biological Sciences Research Council (C.A.Y.), the Ministry of Education and Science (Spain, Project FIS2005-01729) (C.E.), the Air Force Office of Scientific Research (I.G.K.), a Searle Scholar Award and Defense Advanced Research Planning Agency Grant HR001-05-1-0057 to Princeton University (I.D.C), St. John's College, Linacre College and Somerville College, Oxford (R.E.). This publication is based partially on work supported by King Abdullah University of Science and Technology Award No. KUK-C1-013-04 (R.E.). P.K.M. was partially supported by a Royal Society-Wolfson Merit Award. This work was partially supported by the Oxford-Princeton Partnership grant (P.K.M. and I.G.K.).
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Full metadata record

DC FieldValue Language
dc.contributor.authorYates, C. A.en
dc.contributor.authorErban, R.en
dc.contributor.authorEscudero, C.en
dc.contributor.authorCouzin, I. D.en
dc.contributor.authorBuhl, J.en
dc.contributor.authorKevrekidis, I. G.en
dc.contributor.authorMaini, P. K.en
dc.contributor.authorSumpter, D. J. T.en
dc.date.accessioned2016-02-25T13:33:25Zen
dc.date.available2016-02-25T13:33:25Zen
dc.date.issued2009-03-31en
dc.identifier.citationYates CA, Erban R, Escudero C, Couzin ID, Buhl J, et al. (2009) Inherent noise can facilitate coherence in collective swarm motion. Proceedings of the National Academy of Sciences 106: 5464–5469. Available: http://dx.doi.org/10.1073/pnas.0811195106.en
dc.identifier.issn0027-8424en
dc.identifier.issn1091-6490en
dc.identifier.pmid19336580en
dc.identifier.doi10.1073/pnas.0811195106en
dc.identifier.urihttp://hdl.handle.net/10754/598628en
dc.description.abstractAmong the most striking aspects of the movement of many animal groups are their sudden coherent changes in direction. Recent observations of locusts and starlings have shown that this directional switching is an intrinsic property of their motion. Similar direction switches are seen in self-propelled particle and other models of group motion. Comprehending the factors that determine such switches is key to understanding the movement of these groups. Here, we adopt a coarse-grained approach to the study of directional switching in a self-propelled particle model assuming an underlying one-dimensional Fokker-Planck equation for the mean velocity of the particles. We continue with this assumption in analyzing experimental data on locusts and use a similar systematic Fokker-Planck equation coefficient estimation approach to extract the relevant information for the assumed Fokker-Planck equation underlying that experimental data. In the experiment itself the motion of groups of 5 to 100 locust nymphs was investigated in a homogeneous laboratory environment, helping us to establish the intrinsic dynamics of locust marching bands. We determine the mean time between direction switches as a function of group density for the experimental data and the self-propelled particle model. This systematic approach allows us to identify key differences between the experimental data and the model, revealing that individual locusts appear to increase the randomness of their movements in response to a loss of alignment by the group. We give a quantitative description of how locusts use noise to maintain swarm alignment. We discuss further how properties of individual animal behavior, inferred by using the Fokker-Planck equation coefficient estimation approach, can be implemented in the self-propelled particle model to replicate qualitatively the group level dynamics seen in the experimental data.en
dc.description.sponsorshipThis work was supported by Engineering and Physical Sciences Research Council and Biotechnology and Biological Sciences Research Council (C.A.Y.), the Ministry of Education and Science (Spain, Project FIS2005-01729) (C.E.), the Air Force Office of Scientific Research (I.G.K.), a Searle Scholar Award and Defense Advanced Research Planning Agency Grant HR001-05-1-0057 to Princeton University (I.D.C), St. John's College, Linacre College and Somerville College, Oxford (R.E.). This publication is based partially on work supported by King Abdullah University of Science and Technology Award No. KUK-C1-013-04 (R.E.). P.K.M. was partially supported by a Royal Society-Wolfson Merit Award. This work was partially supported by the Oxford-Princeton Partnership grant (P.K.M. and I.G.K.).en
dc.publisherProceedings of the National Academy of Sciencesen
dc.subjectCoarse-grainingen
dc.subjectCollective behavioren
dc.subjectDensity-dependent switchingen
dc.subjectLocustsen
dc.subjectSwarmingen
dc.subject.meshNoiseen
dc.subject.meshFlight, Animalen
dc.subject.meshModels, Biologicalen
dc.titleInherent noise can facilitate coherence in collective swarm motionen
dc.typeArticleen
dc.identifier.journalProceedings of the National Academy of Sciencesen
dc.identifier.pmcidPMC2667078en
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionCSIC - Instituto de Matematicas y Fisica Fundamental, Madrid, Spainen
dc.contributor.institutionPrinceton University, Princeton, United Statesen
dc.contributor.institutionThe University of Sydney, Sydney, Australiaen
dc.contributor.institutionUppsala Universitet, Uppsala, Swedenen
kaust.grant.numberKUK-C1-013-04en

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