title: Maximum-entropy description of animal movement.
abstract: We introduce a class of maximum-entropy states that naturally includes within it all of the major continuous-time stochastic processes that have been applied to animal movement, including Brownian motion, Ornstein-Uhlenbeck motion, integrated Ornstein-Uhlenbeck motion, a recently discovered hybrid of the previous models, and a new model that describes central-place foraging. We are also able to predict a further hierarchy of new models that will emerge as data quality improves to better resolve the underlying continuity of animal movement. Finally, we also show that Langevin equations must obey a fluctuation-dissipation theorem to generate processes that fall from this class of maximum-entropy distributions when the constraints are purely kinematic.
authors: Conservation Ecology Center, Smithsonian Conservation Biology Institute, National Zoological Park, 1500 Remount Rd., Front Royal, Virginia 22630, USA.|Department of Biology, University of Maryland, College Park, College Park, Maryland 20742, USA.
authors: Chris H
authors: CH
authors: Fleming
authors: Department of Chemistry and Biochemistry, University of Maryland, College Park, College Park, Maryland 20742, USA.
authors: Yiğit
authors: Y
authors: Subaşı
authors: Conservation Ecology Center, Smithsonian Conservation Biology Institute, National Zoological Park, 1500 Remount Rd., Front Royal, Virginia 22630, USA.
authors: Justin M
authors: JM
authors: Calabrese
mesh_terms: D000818:Animals; D019277:Entropy; D009068:Movement; D015999:Multivariate Analysis