Multifractal random walk in copepod behavior

Details Multifractal random walk in copepod behavior Multifractal random walk in copepod behavior

2001-09-20

arxiv.org/abs/cond-mat/0109371v1

Physica A 301 (2001) 375-396

Physics

Condensed Matter

Disordered Systems and Neural Networks

40 pp., including 11 Figs. In press in Physica A

Scientific paper

10.1016/S0378-4371(01)00429-0

A 3D copepod trajectory is recorded in the laboratory, using 2 digital cameras. The copepod undergoes a very structured type of trajectory, with successive moves displaying intermittent amplitudes. We perform a statistical analysis of this 3D trajectory using statistical tools developed in the field of turbulence and anomalous diffusion. We show that the walk belongs to "multifractal random walks", characterized by a nonlinear moment scaling function for the distance versus time. To our knowledge, this is the first experimental study of multifractal anomalous diffusion. We then propose a new type of stochastic process reproducing these multifractal scaling properties. This can be directly used for stochastic numerical simulations, and is thus of important potential applications in the field of animal movement study, and more generally of anomalous diffusion studies.

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