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. Author manuscript; available in PMC: 2019 Jul 23.
Published in final edited form as: Int J Geogr Inf Sci. 2018 Jul 23;32(11):2272–2293. doi: 10.1080/13658816.2018.1498097

Table 1.

Path Metrics & Ensuing Methods

Metrics Description Suggested References
Step size (length) The displacement between two consecutive coordinate fixes Calenge et al. 2009, Turchin 1998
Heading (or absolute angle) The direction of heading relative to some standard (e.g., initial direction, compass North) Calenge et al. 2009, Turchin 1998
Turning angle The change in heading from one step to the next Calenge et al. 2009, Turchin 1998
Displacement The straight-line distance from the beginning to the end point of a path Calenge et al. 2009, Turchin 1998
Net squared displacement (NSD) The square of the straight-line distance between the start of the trajectory and the current location Calenge et al. 2009, Turchin 1998
Persistence velocity The speed of movement in the direction of heading Gurarie et al. 2009
First passage time The time taken to exit a circle of prescribed radius r from a relocation point at the center of this circle Fauchald and Tveraa 2003, McKenzie et al. 2009
Straightness index The ratio of NSD to the path length (sum of the step sizes) of the trajectory segment of interest Benhamou 2004
Tortuosity The level of convolution in a movement path relative to a straight line Benhamou 2004
Residence time The amount of time spent within a selected area Barraquand and Benhamou 2008
Return time (inter-visit gap) The amount of time it takes an individual to return to a particular area after its last departure Lyons et al. 2013
Revisitation (or return) rate The rate at which an individual returns to a particular area, where distinct visits are based on a minimum return time tr Lyons et al. 2013, Van Moorter et al. 2016
Mean duration The average amount of time spent per visit over a number of visits to a selected area Lyons et al. 2013
Time to return The duration of time between consecutive visits to a selected area Bar-David et al. 2009
Overall dynamic body acceleration (ODBA) The sum of the absolute values of three orthogonal locally time-averaged accelerations Gleiss et al. 2011, Qasem et al. 2012
Behavioral state Association of one of several discrete modes of behavior with each point on the trajectory Getz and Saltz 2008
Methods (in the context of movement ecology)
Cluster analyses Methods for grouping trajectory points (or segments) that represent the same behavioral state (or syndrome) Van Moorter et al. 2010 (or Abrahms et al. 2017)
Change-point analyses Methods for detecting points on a trajectory where switches in behavioral states occur Gurarie et al. 2009
State-space analyses (hidden Markov models) Methods for detecting underlying behavioral states and estimating state transition probabilities Patterson et al. 2009
Accelerometry visualization Using tri-axial accelerometer data (e.g., OBDA) to evaluate behavioral states Shepard et al. 2008
Wavelet analysis Method for detecting periodically varying movement and behavior patterns across all temporal scales Polansky et al. 2010
Recursion analyses Methods for detecting movement trajectory recursions (returns to prior locations) Berger-Tal and Bar-David 2015