Improving light and temperature based geolocation by unscented Kalman filtering

Tracking marine animals with electronic tags has become an indispensable tool in understanding biology in relation to movement. Combining light based geolocation estimates with an underlying movement model has proved helpful in reconstructing the most probable track of tagged animals. These tracks can be further improved by including the tag measured sea-surface temperature and matching it to external sea-surface temperature (SST) data. The current methodology for doing this in a state-space model requires that external sea-surface temperature be smoothed before it is used in the model, and further that its gradient field is pre-calculated. This two-step approach has a number of technical drawbacks, and the final statistical inference about the most probable track is consequently less convincing. This paper presents a new methodology (refer to as UKFSST) where all steps, including the SST smoothing, are handled within one coherent model. An additional benefit is that even the degree of smoothing, which was previously pre-determined and fixed, can now be optimally selected. UKFSST offers better handling of non-linearities in Kalman filter, and provides a statistically sound model for geolocation applications, as opposed to ad hoc SST matching approaches.

[1]  Barbara A. Block,et al.  Movement of Atlantic bluefin tuna (Thunnus thynnus) as determined by satellite tagging experiments initiated off New England , 2004 .

[2]  David W. Welch,et al.  Ability of Archival Tags to Provide Estimates of Geographical Position Based on Light Intensity , 2001 .

[3]  Kevin C. Weng,et al.  Electronic tagging and population structure of Atlantic bluefin tuna , 2005, Nature.

[4]  Anders Nielsen,et al.  Interannual variation in large-scale movement of Atlantic bluefin tuna (Thunnus thynnus) determined from pop-up satellite archival tags , 2006 .

[5]  Kevin C. Weng,et al.  Validation of geolocation estimates based on light level and sea surface temperature from electronic tags , 2004 .

[6]  Julian D. Metcalfe,et al.  Geolocation of free-ranging fish on the European continental shelf as determined from environmental variables , 2003 .

[7]  John R. Sibert.  Electronic Tagging and Tracking in Marine Fisheries , 2001 .

[8]  Andrew B. Cooper,et al.  Movements of bluefin tuna (Thunnus thynnus) in the northwestern Atlantic Ocean recorded by pop-up satellite archival tags , 2005 .

[9]  S. B. Blackwell,et al.  Migratory Movements, Depth Preferences, and Thermal Biology of Atlantic Bluefin Tuna , 2001, Science.

[10]  J. Croxall,et al.  Elephant seals: Population ecology, behaviour, and physiology: Edited by Burney J. Le Boeuf and Richard Laws. Pp. 414. University of California Press, 1994. US $58.00 ISBN 0 520 08364 4 , 1995 .

[11]  John R. Sibert,et al.  Possible Models for Combining Tracking Data with Conventional Tagging Data , 2001 .

[12]  David W. Welch,et al.  An assessment of light-based geoposition estimates from archival tags , 1999 .

[13]  M. Musyl,et al.  Differential heating and cooling rates in bigeye tuna (Thunnus obesus Lowe): a model of non-steady state heat exchange , 2007, Journal of Experimental Biology.

[14]  Daniel W. Fuller,et al.  Movements, behavior, and habitat selection of bigeye tuna (Thunnus obesus) in the eastern equatorial Pacific, ascertained through archival tags , 2002 .

[15]  P. Howey,et al.  Results of pop-up satellite tagging of spawning size class fish in the Gulf of Maine: do North Atlantic bluefin tuna spawn in the mid-Atlantic? , 1999 .

[16]  Thomas M. Smith,et al.  Improved Global Sea Surface Temperature Analyses Using Optimum Interpolation , 1994 .

[17]  Kevin C Weng,et al.  Satellite Tagging and Cardiac Physiology Reveal Niche Expansion in Salmon Sharks , 2005, Science.

[18]  Roger D. Hill,et al.  Geolocation by Light Level , 2001 .

[19]  Anders Nielsen,et al.  Using the particle filter to geolocate Atlantic cod ( Gadus morhua ) in the Baltic Sea, with special emphasis on determining uncertainty , 2007 .

[20]  Mark R. Fuller,et al.  Wildlife Telemetry: Remote Monitoring and Tracking of Animals , 1995 .

[21]  Hugh F. Durrant-Whyte,et al.  A new method for the nonlinear transformation of means and covariances in filters and estimators , 2000, IEEE Trans. Autom. Control..

[22]  John Sapper,et al.  The development and operational application of nonlinear algorithms for the measurement of sea surface temperatures with the NOAA polar‐orbiting environmental satellites , 1998 .

[23]  Richard W. Brill,et al.  Vertical movements of bigeye tuna (Thunnus obesus) associated with islands, buoys, and seamounts near the main Hawaiian Islands from archival tagging data , 2003 .

[24]  Uffe Høgsbro Thygesen,et al.  Geolocation of Atlantic cod (Gadus morhua) movements in the Gulf of Maine using tidal information , 2007 .

[25]  David Itano,et al.  Behavior of yellowfin (Thunnus albacares) and bigeye (T. obesus) tuna in a network of fish aggregating devices (FADs) , 2007 .

[26]  M. Musyl,et al.  Transactions of the American Fisheries Society 135:1389–1397, 2006 Ó Copyright by the American Fisheries Society 2006 DOI: 10.1577/T05-224.1 [Article] Predicting Postrelease Survival in Large Pelagic Fish , 2022 .

[27]  Jon Louis Bentley,et al.  Quad trees a data structure for retrieval on composite keys , 1974, Acta Informatica.

[28]  J. Vazquez,et al.  NOAA/NASA AVHRR Oceans Pathfinder Sea Surface Temperature Data Set User''s Reference Manual , 1998 .

[29]  B. Block,et al.  Advances in acoustic, archival, and satellite tagging of tunas , 2001 .

[30]  Barbara A. Block,et al.  Tuna : physiology, ecology, and evolution , 2001 .

[31]  Michael L. Domeier,et al.  Tracking Pacific bluefin tuna (Thunnus thynnus orientalis)in the northeastern Pacific with an automated algorithm that estimates latitude by matching sea-surface-temperature data from satellites with temperature data from tags on fish , 2005 .

[32]  Philippe Gaspar,et al.  A state-space model to derive bluefin tuna movement and habitat from archival tags , 2005 .

[33]  J. Graves,et al.  An evaluation of pop-up satellite tags for estimating postrelease survival of blue marlin (Makaira nigricans) from a recreational fishery , 2002 .

[34]  J. D. Metcalfe.  Summary Report of a Workshop on Daylight Measurements for Geolocation in Animal Telemetry , 2001 .

[35]  Andrew Harvey,et al.  Forecasting, Structural Time Series Models and the Kalman Filter , 1990 .

[36]  Anders Nielsen,et al.  Improving light-based geolocation by including sea surface temperature , 2006 .

[37]  G. Arnold,et al.  Electronic Tags in Marine Fisheries Research: A 30-Year Perspective , 2001 .

[38]  Barbara A. Block,et al.  Movements, behavior, and habitat utilization of yellowfin tuna (Thunnus albacares) in the northeastern Pacific Ocean, ascertained through archival tag data , 2007 .

[39]  G. Huse,et al.  Introducing a method for extracting horizontal migration patterns from data storage tags , 2007, Hydrobiologia.

[40]  Philip A. Ekstrom,et al.  An advance in geolocation by light , 2004 .

[41]  Richard W. Brill,et al.  Horizontal movements of bigeye tuna (Thunnus obesus) near Hawaii determined by Kalman filter analysis of archival tagging data , 2003 .

[42]  J. Graves,et al.  Application of pop-up satellite archival tag technology to estimate postrelease survival of white marlin (Tetrapturus albidus) caught on circle and straight-shank ("J") hooks in the western North Atlantic recreational fishery , 2005 .

[43]  M. Meÿer,et al.  Transoceanic Migration, Spatial Dynamics, and Population Linkages of White Sharks , 2005, Science.