Bayesian inference for continuous-time step-and-turn movement models
This thesis concerns the statistical modelling of animal movement paths given observed GPS locations. With observations being in discrete time, mechanistic models of movement are often formulated as such. This popularity remains despite an inability to compare analyses through scale invariance and c...
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ftwhiterose:oai:etheses.whiterose.ac.uk:20124 2023-05-15T17:07:55+02:00 Bayesian inference for continuous-time step-and-turn movement models Parton, Alison 2018-04 text https://etheses.whiterose.ac.uk/20124/ https://etheses.whiterose.ac.uk/20124/1/A_Parton_2018.pdf en eng University of Sheffield https://etheses.whiterose.ac.uk/20124/1/A_Parton_2018.pdf Parton, Alison (2018) Bayesian inference for continuous-time step-and-turn movement models. PhD thesis, University of Sheffield. cc_by_nc_nd CC-BY-NC-ND Thesis NonPeerReviewed 2018 ftwhiterose 2023-01-30T21:25:04Z This thesis concerns the statistical modelling of animal movement paths given observed GPS locations. With observations being in discrete time, mechanistic models of movement are often formulated as such. This popularity remains despite an inability to compare analyses through scale invariance and common problems handling irregularly timed observations. A natural solution is to formulate in continuous time, yet uptake of this has been slow, often excused by a difficulty in interpreting the ‘instantaneous’ parameters associated with a continuous-time model. The aim here was to bolster usage by developing a continuous-time model with interpretable parameters, similar to those of popular discrete-time models that use turning angles and step lengths to describe the movement process. Movement is defined by a continuous-time, joint bearing and speed process, the parameters of which are dependent on a continuous-time behavioural switching process, thus creating a flexible class of movement models. Further, we allow for the observed locations derived from this process to have unknown error. Markov chain Monte Carlo inference is presented for parameters given irregular, noisy observations. The approach involves augmenting the observed locations with a reconstruction of the underlying continuous-time process. Example implementations showcasing this method are given featuring simulated and real datasets. Data from elk (Cervus elaphus), which have previously been modelled in discrete time, demonstrate the interpretable nature of the model, finding clear differences in behaviour over time and insights into short-term behaviour that could not have been obtained in discrete time. Observations from reindeer (Rangifer tarandus) reveal the effect observation error has on the identification of large turning angles—a feature often inferred in discrete-time modelling. Scalability to realistically large datasets is shown for lesser black-backed gull (Larus fuscus) data. Thesis Lesser black-backed gull Rangifer tarandus White Rose eTheses Online (Universities Leeds, Sheffield, York) |
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White Rose eTheses Online (Universities Leeds, Sheffield, York) |
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English |
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This thesis concerns the statistical modelling of animal movement paths given observed GPS locations. With observations being in discrete time, mechanistic models of movement are often formulated as such. This popularity remains despite an inability to compare analyses through scale invariance and common problems handling irregularly timed observations. A natural solution is to formulate in continuous time, yet uptake of this has been slow, often excused by a difficulty in interpreting the ‘instantaneous’ parameters associated with a continuous-time model. The aim here was to bolster usage by developing a continuous-time model with interpretable parameters, similar to those of popular discrete-time models that use turning angles and step lengths to describe the movement process. Movement is defined by a continuous-time, joint bearing and speed process, the parameters of which are dependent on a continuous-time behavioural switching process, thus creating a flexible class of movement models. Further, we allow for the observed locations derived from this process to have unknown error. Markov chain Monte Carlo inference is presented for parameters given irregular, noisy observations. The approach involves augmenting the observed locations with a reconstruction of the underlying continuous-time process. Example implementations showcasing this method are given featuring simulated and real datasets. Data from elk (Cervus elaphus), which have previously been modelled in discrete time, demonstrate the interpretable nature of the model, finding clear differences in behaviour over time and insights into short-term behaviour that could not have been obtained in discrete time. Observations from reindeer (Rangifer tarandus) reveal the effect observation error has on the identification of large turning angles—a feature often inferred in discrete-time modelling. Scalability to realistically large datasets is shown for lesser black-backed gull (Larus fuscus) data. |
format |
Thesis |
author |
Parton, Alison |
spellingShingle |
Parton, Alison Bayesian inference for continuous-time step-and-turn movement models |
author_facet |
Parton, Alison |
author_sort |
Parton, Alison |
title |
Bayesian inference for continuous-time step-and-turn movement models |
title_short |
Bayesian inference for continuous-time step-and-turn movement models |
title_full |
Bayesian inference for continuous-time step-and-turn movement models |
title_fullStr |
Bayesian inference for continuous-time step-and-turn movement models |
title_full_unstemmed |
Bayesian inference for continuous-time step-and-turn movement models |
title_sort |
bayesian inference for continuous-time step-and-turn movement models |
publisher |
University of Sheffield |
publishDate |
2018 |
url |
https://etheses.whiterose.ac.uk/20124/ https://etheses.whiterose.ac.uk/20124/1/A_Parton_2018.pdf |
genre |
Lesser black-backed gull Rangifer tarandus |
genre_facet |
Lesser black-backed gull Rangifer tarandus |
op_relation |
https://etheses.whiterose.ac.uk/20124/1/A_Parton_2018.pdf Parton, Alison (2018) Bayesian inference for continuous-time step-and-turn movement models. PhD thesis, University of Sheffield. |
op_rights |
cc_by_nc_nd |
op_rightsnorm |
CC-BY-NC-ND |
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1766063447132340224 |