IMIS | Flanders Marine Institute
 

Flanders Marine Institute

Platform for marine research

IMIS

Publications | Institutes | Persons | Datasets | Projects | Maps
[ report an error in this record ]basket (0): add | show Printer-friendly version

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. dx.doi.org/10.1007/s00285-008-0198-7
In: Journal of Mathematical Biology. Springer Verlag: Heidelberg; Berlin. ISSN 0303-6812, more
Peer reviewed article  

Available in Authors 

Keyword
    Marine
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.

Abstract
    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.

All data in IMIS is subject to the VLIZ privacy policy Top | Authors