University of Leicester
Browse
1/1
2 files

A random acceleration model of individual animal movement allowing for diffusive, superdiffusive and superballistic regimes

journal contribution
posted on 2017-11-27, 15:27 authored by Paulo F. C. Tilles, Sergei V. Petrovskii, Paulo L. Natti
Patterns of individual animal movement attracted considerable attention over the last two decades. In particular, question as to whether animal movement is predominantly diffusive or superdiffusive has been a focus of discussion and controversy. We consider this problem using a theory of stochastic motion based on the Langevin equation with non-Wiener stochastic forcing that originates in animal's response to environmental noise. We show that diffusive and superdiffusive types of motion are inherent parts of the same general movement process that arises as interplay between the force exerted by animals (essentially, by animal's muscles) and the environmental drag. The movement is superballistic with the mean square displacement growing with time as 〈x 2 (t)〉 ∼ t 4 at the beginning and eventually slowing down to the diffusive spread 〈x 2 (t)〉 ∼ t. We show that the duration of the superballistic and superdiffusive stages can be long depending on the properties of the environmental noise and the intensity of drag. Our findings demonstrate theoretically how the movement pattern that includes diffusive and superdiffusive/superballistic motion arises naturally as a result of the interplay between the dissipative properties of the environment and the animal's biological traits such as the body mass, typical movement velocity and the typical duration of uninterrupted movement.

Funding

This work was supported by The Royal Society (UK) through the grant no. NF161377 (to P.F.C.T. and S.V.P.). P.F.C.T. was also supported by Sao Paulo Research Foundation (FAPESP–Brazil), grant no. 2013/07476-0, and partially supported by CAPES (Brazil).

History

Citation

Scientific Reports, 2017, 7, Article number: 14364

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

  • VoR (Version of Record)

Published in

Scientific Reports

Publisher

Nature Publishing Group

issn

2045-2322

eissn

2045-2322

Acceptance date

2017-10-06

Copyright date

2017

Available date

2017-11-27

Publisher version

https://www.nature.com/articles/s41598-017-14511-9

Notes

Supplementary information accompanies this paper at https://doi.org/10.1038/s41598-017-14511-9.

Language

en

Usage metrics

    University of Leicester Publications

    Categories

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC