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      Modelling animal movement as Brownian bridges with covariates

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          Abstract

          Background

          The ability to observe animal movement and possible correlates has increased strongly over the past decades. Methods to analyze trajectories have developed in parallel, but many tools fail to make an immediate connection between a movement model, covariates of the movement, and animal space use.

          Methods

          Here I develop a novel method based on the Brownian Bridge Movement Model that facilitates investigating and testing covariates of movement. The model makes it possible to flexibly investigate different covariates including, for example, periodic movement patterns.

          Results

          I applied the Brownian Bridge Covariates Model (BBCM) to simulated trajectories demonstrating its ability to reproduce the parameters used for the simulation. I also applied the model to a GPS trajectory of a meerkat, showing its application to empirical data. The value of the model was shown by testing the interaction between maximal daily temperature and the daily movement pattern.

          Conclusion

          This model produces accurate parameter estimates for covariates of the movements and location error in simulated trajectories. Application to the meerkat trajectory also produced plausible parameter estimates. This new method opens the possibility to directly test hypotheses about the influence of covariates on animal movement while linking these to space-use estimates.

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          Most cited references30

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          Inference from Iterative Simulation Using Multiple Sequences

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            Analyzing animal movements using Brownian bridges.

            By studying animal movements, researchers can gain insight into many of the ecological characteristics and processes important for understanding population-level dynamics. We developed a Brownian bridge movement model (BBMM) for estimating the expected movement path of an animal, using discrete location data obtained at relatively short time intervals. The BBMM is based on the properties of a conditional random walk between successive pairs of locations, dependent on the time between locations, the distance between locations, and the Brownian motion variance that is related to the animal's mobility. We describe two critical developments that enable widespread use of the BBMM, including a derivation of the model when location data are measured with error and a maximum likelihood approach for estimating the Brownian motion variance. After the BBMM is fitted to location data, an estimate of the animal's probability of occurrence can be generated for an area during the time of observation. To illustrate potential applications, we provide three examples: estimating animal home ranges, estimating animal migration routes, and evaluating the influence of fine-scale resource selection on animal movement patterns.
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              A dynamic Brownian bridge movement model to estimate utilization distributions for heterogeneous animal movement.

              1. The recently developed Brownian bridge movement model (BBMM) has advantages over traditional methods because it quantifies the utilization distribution of an animal based on its movement path rather than individual points and accounts for temporal autocorrelation and high data volumes. However, the BBMM assumes unrealistic homogeneous movement behaviour across all data. 2. Accurate quantification of the utilization distribution is important for identifying the way animals use the landscape. 3. We improve the BBMM by allowing for changes in behaviour, using likelihood statistics to determine change points along the animal's movement path. 4. This novel extension, outperforms the current BBMM as indicated by simulations and examples of a territorial mammal and a migratory bird. The unique ability of our model to work with tracks that are not sampled regularly is especially important for GPS tags that have frequent failed fixes or dynamic sampling schedules. Moreover, our model extension provides a useful one-dimensional measure of behavioural change along animal tracks. 5. This new method provides a more accurate utilization distribution that better describes the space use of realistic, behaviourally heterogeneous tracks. © 2012 The Authors. Journal of Animal Ecology © 2012 British Ecological Society.
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                Author and article information

                Contributors
                kranstauber@orn.mpg.de
                Journal
                Mov Ecol
                Mov Ecol
                Movement Ecology
                BioMed Central (London )
                2051-3933
                25 June 2019
                25 June 2019
                2019
                : 7
                : 22
                Affiliations
                [1 ]ISNI 0000 0004 1937 0650, GRID grid.7400.3, Department of Evolutionary Biology and Environmental Studies, University of Zurich, ; Winterthurerstrasse 190, Zurich, CH-8057 Switzerland
                [2 ]GRID grid.452577.6, Kalahari Meerkat Project, ; Kuruman River Reserve, P.O. Box 64, Van Zylsrus, 8467 Northern Cape South Africa
                Author information
                http://orcid.org/0000-0001-8303-780X
                Article
                167
                10.1186/s40462-019-0167-3
                6591895
                ee53f472-c920-48a0-a532-41297ebfce7e
                © The Author(s) 2019

                Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License ( http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver ( http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

                History
                : 25 January 2019
                : 4 June 2019
                Funding
                Funded by: Furschungskredit der Universitat Zurich
                Award ID: FK-18-110
                Funded by: Promotor Stiftung
                Categories
                Methodology Article
                Custom metadata
                © The Author(s) 2019

                animal tracking,brownian bridge covariates model,brownian bridge movement model,meerkats,movement ecology,suricata suricatta,utilization distributions

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