Characteristic spatial and temporal scales unify models of animal movement.

Author (Faculty Member): 
Title Characteristic spatial and temporal scales unify models of animal movement.
Publication Type Journal Article
Year of Publication 2011
Authors Lee, Thomas J., Speed Michael P., Stephens Philip A., Freckleton Rob P., Cooper Natalie, Jetz Walter, Akçay Erol, and Simms Ellen L.
Journal The American Naturalist
Volume 178
Issue 1
Pagination 113-123
Date Published 2011 Jul
ISSN 1537-5323
Abstract Animal movements have been modeled with diffusion at large scales and with more detailed movement models at smaller scales. We argue that the biologically relevant behavior of a wide class of movement models can be efficiently summarized with two parameters: the characteristic temporal and spatial scales of movement. We define these scales so that they describe movement behavior both at short scales (through the velocity autocorrelation function) and at long scales (through the diffusion coefficient). We derive these scales for two types of commonly used movement models: the discrete-step correlated random walk, with either constant or random step intervals, and the continuous-time correlated velocity model. For a given set of characteristic scales, the models produce very similar trajectories and encounter rates between moving searchers and stationary targets. Thus, we argue that characteristic scales provide a unifying currency that can be used to parameterize a wide range of ecological phenomena related to movement.
URL http://faculty.washington.edu/eliezg/publications/Gurarie2011_AmNat_CharacteristicScales.pdf
DOI 10.1086/660285
Alternate Journal Am. Nat.

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