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Density distributions and depth in flocks

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Lewis, Jason M. and Turner, Matthew S. (2017) Density distributions and depth in flocks. Journal of Physics D : Applied Physics, 50 (49). p. 494003. doi:10.1088/1361-6463/aa942f

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Official URL: http://dx.doi.org/10.1088/1361-6463/aa942f

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Abstract

Recent experimental evidence suggests that interactions in flocks of birds do not involve a characteristic length scale. Bird flocks have also been revealed to have an inhomogeneous density distribution, with the density of birds near the border greater than near the centre. We introduce a strictly metric-free model for collective behaviour that incorporates a distributed motional bias, providing control of the density distribution. A simple version of this model is then able to provide a good fit to published data for the density variation across flocks of Starlings. We find that it is necessary for individuals on the edge of the flock to have an inward motional bias but that birds in the interior of the flock instead must have an outward bias. We discuss the ability of individuals to determine their depth within a flock and show how this might be achieved by relatively simple analysis of their visual environment.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QL Zoology
Divisions: Faculty of Science > Centre for Complexity Science
Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Starlings -- Swarming -- Mathematical models
Journal or Publication Title: Journal of Physics D : Applied Physics
Publisher: IOP Publishing
ISSN: 0022-3727
Official Date: 15 November 2017
Dates:
DateEvent
15 November 2017Published
17 October 2017Accepted
Volume: 50
Number: 49
Page Range: p. 494003
DOI: 10.1088/1361-6463/aa942f
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
EP/E501311[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/E501311/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266

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