Analyzing Fish Movement As a Persistent Turning Walker

Overview

Journal J Math Biol

Date 2008 Jul 1

PMID 18587541

Citations 33

Authors

Jacques Gautrais

Christian Jost

Marc Soria

Alexandre Campo

Sebastien Motsch

Richard Fournier

Stephane Blanco

Guy Theraulaz

Affiliations

Soon will be listed here.

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.

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