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

ABSTRACT: 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 [Formula: see text] at the beginning and

SUBMITTER: Tilles PFC 

PROVIDER: S-EPMC5662607 | biostudies-literature | 2017 Oct

REPOSITORIES: biostudies-literature