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Analyzing fish movement as a persistent turning walker
Gautrais, J.; Jost, C.; Soria, M.; Campo, A.; Motsch, S.; Fournier, R.; Blanco, S.; Theraulaz, G. (2009). Analyzing fish movement as a persistent turning walker. J. Math. Biol. 58(3): 429-445.
In: Journal of Mathematical Biology. Springer Verlag: Heidelberg; Berlin. ISSN 0303-6812, more
Peer reviewed article  

Available in  Authors 

Author keywords
    Fish displacement model; Stochastic model; Nonlinear diffusion;Ornstein-Uhlenbeck process

Authors  Top 
  • Gautrais, J.
  • Jost, C.
  • Soria, M.
  • Campo, A.
  • Motsch, S.
  • Fournier, R.
  • Blanco, S.
  • Theraulaz, G.

    The trajectories of Kuhlia mugil fish swimming freely in a tank are analyzed in order to develop a model of spontaneous fish movement. The data show that K. mugil displacement is best described by turning speed and its auto-correlation. The continuous-time process governing this new kind of displacement is modelled by a stochastic differential equation of Ornstein–Uhlenbeck family: the persistent turning walker. The associated diffusive dynamics are compared to the standard persistent random walker model and we show that the resulting diffusion coefficient scales non-linearly with linear swimming speed. In order to illustrate how interactions with other fish or the environment can be added to this spontaneous movement model we quantify the effect of tank walls on the turning speed and adequately reproduce the characteristics of the observed fish trajectories.

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