Continuous-time correlated random walk model for animal telemetry data

We propose a continuous-time version of the correlated random walk model for animal telemetry data. The continuous-time formulation allows data that have been nonuniformly collected over time to be modeled without subsampling, interpolation, or aggregation to obtain a set of locations uniformly spac...

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Bibliographic Details
Published in:Ecology
Main Authors: Johnson, DS, London, JM, Lea, MA, Durban, JW
Format: Article in Journal/Newspaper
Language:English
Published: Ecological Society of America 2008
Subjects:
Online Access:http://www.esajournals.org/loi/ecol
https://doi.org/10.1890/07-1032.1
http://www.ncbi.nlm.nih.gov/pubmed/18543615
http://ecite.utas.edu.au/52290
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Summary:We propose a continuous-time version of the correlated random walk model for animal telemetry data. The continuous-time formulation allows data that have been nonuniformly collected over time to be modeled without subsampling, interpolation, or aggregation to obtain a set of locations uniformly spaced in time. The model is derived from a continuous-time Ornstein-Uhlenbeck velocity process that is integrated to form a location process. The continuous-time model was placed into a statespace framework to allow parameter estimation and location predictions from observed animal locations. Two previously unpublished marine mammal telemetry data sets were analyzed to illustrate use of the model, by-products available from the analysis, and different modifications which are possible. A harbor seal data set was analyzed with a model that incorporates the proportion of each hour spent on land. Also, a northern fur seal pup data set was analyzed with a random drift component to account for directed travel and ocean currents.