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

摘要: Patterns of individual animal movement attracted considerable attention over the last two decades. In particular, question as to whether is predominantly diffusive or superdiffusive has been a focus discussion and controversy. We consider this problem using theory stochastic motion based on Langevin equation with non-Wiener forcing that originates in animal's response environmental noise. show types are inherent parts same general process arises interplay between force exerted by animals (essentially, muscles) drag. The is superballistic mean square displacement growing time [Formula: see text] at beginning eventually slowing down spread text]. duration stages can be long depending properties noise intensity Our findings demonstrate theoretically how pattern includes superdiffusive/superballistic naturally result dissipative environment biological traits such body mass, typical velocity uninterrupted movement.