Lessons from a prototype geolocation problem

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Abstract

This paper establishes simple and general expressions for the accuracy of geolocation, which may be obtained by optimal filtering of measurements front archival tags. We investigate an idealized geolocation problem where the animal performs a random walk. We derive simple closed-form expressions for the steady-state variance and for the characteristic time scale of the filter, i.e. the smoothing horizon. This leads to temporal and spatial scales defining the limit of resolution and explains the difference between what can be obtained for fast-moving and slow-moving animals. Using frequency-domain methods, we consider the effect of adding additional sensors, and examine the substitution of the random walk model with anomalous diffusion, e.g. a Levy flight. We also discuss time variations in the accuracy near start and end of the time series, and due to holes in the data stream which e.g. arise in the tidal method for geolocation when the animal is pelagic. Our results are particularly useful to the planning of a tagging study, because our estimates of accuracy can be computed using only three parameters: the swimming speed of the animal, the sample interval, and the variance on the measurement error.
Original languageEnglish
Title of host publicationTagging and Tracking of Marine Animals with Electronic Devices
Number of pages452
VolumePart 2: Geolocation Methods
PublisherSpringer
Publication date2009
Pages257-276
ISBN (Print)14-02-09639-9
DOIs
Publication statusPublished - 2009
SeriesReviews: Methods and Technologies in Fish Biology and Fisheries
Volume9
ISSN1571-3075

Cite this

Thygesen, U. H., & Nielsen, A. (2009). Lessons from a prototype geolocation problem. In Tagging and Tracking of Marine Animals with Electronic Devices (Vol. Part 2: Geolocation Methods, pp. 257-276). Springer. Reviews: Methods and Technologies in Fish Biology and Fisheries, Vol.. 9 https://doi.org/10.1007/978-1-4020-9640-2_16