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Body size affects the strength of social interactions and spatial organization of a schooling fish (Pseudomugil signifer)
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
Univ Sydney, Sch Biol Sci, Sydney, NSW, Australia..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
2017 (English)In: Royal Society Open Science, E-ISSN 2054-5703, Vol. 4, no 4, article id 161056Article in journal (Refereed) Published
Abstract [en]

While a rich variety of self-propelled particle models propose to explain the collective motion of fish and other animals, rigorous statistical comparison between models and data remains a challenge. Plausible models should be flexible enough to capture changes in the collective behaviour of animal groups at their different developmental stages and group sizes. Here, we analyse the statistical properties of schooling fish (Pseudomugil signifer) through a combination of experiments and simulations. We make novel use of a Boltzmann inversion method, usually applied in molecular dynamics, to identify the effective potential of the mean force of fish interactions. Specifically, we show that larger fish have a larger repulsion zone, but stronger attraction, resulting in greater alignment in their collective motion. We model the collective dynamics of schools using a self-propelled particle model, modified to include varying particle speed and a local repulsion rule. We demonstrate that the statistical properties of the fish schools are reproduced by our model, thereby capturing a number of features of the behaviour and development of schooling fish.

Place, publisher, year, edition, pages
ROYAL SOC , 2017. Vol. 4, no 4, article id 161056
Keywords [en]
collective motion, interactions, statistical mechanics, fish school
National Category
Zoology Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-323662DOI: 10.1098/rsos.161056ISI: 000400527200022PubMedID: 28484622OAI: oai:DiVA.org:uu-323662DiVA, id: diva2:1112685
Available from: 2017-06-20 Created: 2017-06-20 Last updated: 2017-06-20Bibliographically approved

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