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dc.contributor.authorTilles, Paulo F. C.-
dc.contributor.authorPetrovskii, Sergei V.-
dc.contributor.authorNatti, Paulo L.-
dc.identifier.citationScientific Reports, 2017, 7, Article number: 14364en
dc.descriptionSupplementary information accompanies this paper at
dc.description.abstractPatterns 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.en
dc.description.sponsorshipThis 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).en
dc.publisherNature Publishing Groupen
dc.rightsCopyright © the authors, 2017. This is an open-access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.en
dc.subjectApplied mathematicsen
dc.subjectTheoretical ecologyen
dc.titleA random acceleration model of individual animal movement allowing for diffusive, superdiffusive and superballistic regimesen
dc.typeJournal Articleen
dc.description.versionPublisher Versionen
dc.type.subtypeJournal Article-
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERINGen
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematicsen
Appears in Collections:Published Articles, Dept. of Mathematics

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