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  Swarming, schooling, milling: phase diagram of a data-driven fish school model

Calovi, D. S., Lopez, U., Ngo, S., Sire, C., Chate, H., & Theraulaz, G. (2014). Swarming, schooling, milling: phase diagram of a data-driven fish school model. New Journal of Physics, 16: 015026. doi:10.1088/1367-2630/16/1/015026.

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Calovi, Daniel S.1, Author              
Lopez, U., Author
Ngo, S., Author              
Sire, C., Author
Chate, H., Author              
Theraulaz, G., Author
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1Centre de Recherches sur la Cognition Animale, ou_persistent22              

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 Abstract: We determine the basic phase diagram of the fish school model derived from data by Gautrais et al (2012 PLoS Comput. Biol. 8 e1002678), exploring its parameter space beyond the parameter values determined experimentally on groups of barred flagtails (Kuhlia mugil) swimming in a shallow tank. A modified model is studied alongside the original one, in which an additional frontal preference is introduced in the stimulus/response function to account for the angular weighting of interactions. Our study, mostly limited to groups of moderate size (in the order of 100 individuals), focused not only on the transition to schooling induced by increasing the swimming speed, but also on the conditions under which a school can exhibit milling dynamics and the corresponding behavioural transitions. We show the existence of a transition region between milling and schooling, in which the school exhibits multistability and intermittence between schooling and milling for the same combination of individual parameters. We also show that milling does not occur for arbitrarily large groups, mainly due to a distance dependence interaction of the model and information propagation delays in the school, which cause conflicting reactions for large groups. We finally discuss the biological significance of our findings, especially the dependence of behavioural transitions on social interactions, which were reported by Gautrais et al to be adaptive in the experimental conditions.

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 Dates: 2014-01-21
 Publication Status: Published in print
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 Rev. Type: -
 Identifiers: Other: WOS:000330625400003
DOI: 10.1088/1367-2630/16/1/015026
ISSN: 1367-2630
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Title: New Journal of Physics
  Abbreviation : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol : IOP Publishing
Pages: - Volume / Issue: 16 Sequence Number: 015026 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: https://pure.mpg.de/cone/journals/resource/954926913666