Analyzing fish movement as a persistent turning walker

被引：107

作者：

Gautrais, Jacques ^{[1
]}

Jost, Christian ^{[1
]}

Soria, Marc

Campo, Alexandre ^{[2
]}

Motsch, Sebastien ^{[3
]}

Fournier, Richard ^{[4
]}

Blanco, Stephane ^{[4
]}

Theraulaz, Guy ^{[1
]}

机构：

[1] Univ Toulouse 3, CNRS, UMR 5169, F-31062 Toulouse, France

[2] Univ Libre Bruxelles, IRIDIA, Brussels, Belgium

[3] Univ Toulouse 3, CNRS, UMR 5219, Inst Math, F-31062 Toulouse, France

[4] Univ Toulouse 3, CNRS, UMR 5213, LAPLACE, F-31062 Toulouse, France

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2009年 / 58卷 / 03期

关键词：

Fish displacement model; Stochastic model; Nonlinear diffusion; Ornstein-Uhlenbeck process; SEARCH BEHAVIOR; INSECT MOVEMENT; MODEL; MOTION; STABILITY; SYSTEMS;

D O I：

10.1007/s00285-008-0198-7

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：429 / 445

页数：17

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