Conditional models for spatial extremes
Extreme environmental events endanger human life and cause serious damage to property and infrastructure. For example, Storm Desmond (2015) caused approximately £500m of damage in Lancashire and Cumbria, UK from high winds and flooding, while Storm Britta (2006) damaged shipping vessels and offshore...
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Lancaster University
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ftulancaster:oai:eprints.lancs.ac.uk:142284 2023-08-27T04:11:00+02:00 Conditional models for spatial extremes Shooter, Robert 2020 text https://eprints.lancs.ac.uk/id/eprint/142284/ https://eprints.lancs.ac.uk/id/eprint/142284/1/2020shooterphd.pdf https://doi.org/10.17635/lancaster/thesis/919 en eng Lancaster University https://eprints.lancs.ac.uk/id/eprint/142284/1/2020shooterphd.pdf Shooter, Robert (2020) Conditional models for spatial extremes. PhD thesis, UNSPECIFIED. creative_commons_attribution_noncommercial_4_0_international_license Thesis NonPeerReviewed 2020 ftulancaster https://doi.org/10.17635/lancaster/thesis/919 2023-08-03T22:37:48Z Extreme environmental events endanger human life and cause serious damage to property and infrastructure. For example, Storm Desmond (2015) caused approximately £500m of damage in Lancashire and Cumbria, UK from high winds and flooding, while Storm Britta (2006) damaged shipping vessels and offshore structures in the southern North Sea, and led to coastal flooding. Estimating the probability of the occurrence of such events is key in designing structures and infrastructure that are able to withstand their impacts. Due to the rarity of these events, extreme value theory techniques are used for inference. This thesis focusses on developing novel spatial extreme value methods motivated by applications to significant wave height in the North Sea and north Atlantic, and extreme precipitation for the Netherlands. We develop methodology for analysing the dependence structure of significant wave height by utilising spatial conditional extreme value methods. Since the dependence structure of extremes between locations is likely to be complicated, with contributing factors including distance and covariates, we model dependence flexibly; otherwise, the incorrect assumption on the dependence between sites may lead to inaccurate estimation of the probabilities of spatial extreme events occurring. Existing methods for spatial extremes typically assume a particular form of extremal dependence termed asymptotic dependence, and often have intractable forms for describing the dependence of joint events over large numbers of locations. The model developed here overcomes these deficiencies. Moreover, the estimation of joint probabilities across sites under both asymptotic independence and asymptotic dependence, the two limiting extremal dependence classes, is possible with our model; this is not the case with other methods. We propose a method for the estimation of marginal extreme precipitation quantiles, utilising a Bayesian spatio-temporal hierarchical model. Our model parameters incorporate an autoregressive prior distribution, ... Thesis North Atlantic Lancaster University: Lancaster Eprints |
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Lancaster University: Lancaster Eprints |
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English |
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Extreme environmental events endanger human life and cause serious damage to property and infrastructure. For example, Storm Desmond (2015) caused approximately £500m of damage in Lancashire and Cumbria, UK from high winds and flooding, while Storm Britta (2006) damaged shipping vessels and offshore structures in the southern North Sea, and led to coastal flooding. Estimating the probability of the occurrence of such events is key in designing structures and infrastructure that are able to withstand their impacts. Due to the rarity of these events, extreme value theory techniques are used for inference. This thesis focusses on developing novel spatial extreme value methods motivated by applications to significant wave height in the North Sea and north Atlantic, and extreme precipitation for the Netherlands. We develop methodology for analysing the dependence structure of significant wave height by utilising spatial conditional extreme value methods. Since the dependence structure of extremes between locations is likely to be complicated, with contributing factors including distance and covariates, we model dependence flexibly; otherwise, the incorrect assumption on the dependence between sites may lead to inaccurate estimation of the probabilities of spatial extreme events occurring. Existing methods for spatial extremes typically assume a particular form of extremal dependence termed asymptotic dependence, and often have intractable forms for describing the dependence of joint events over large numbers of locations. The model developed here overcomes these deficiencies. Moreover, the estimation of joint probabilities across sites under both asymptotic independence and asymptotic dependence, the two limiting extremal dependence classes, is possible with our model; this is not the case with other methods. We propose a method for the estimation of marginal extreme precipitation quantiles, utilising a Bayesian spatio-temporal hierarchical model. Our model parameters incorporate an autoregressive prior distribution, ... |
format |
Thesis |
author |
Shooter, Robert |
spellingShingle |
Shooter, Robert Conditional models for spatial extremes |
author_facet |
Shooter, Robert |
author_sort |
Shooter, Robert |
title |
Conditional models for spatial extremes |
title_short |
Conditional models for spatial extremes |
title_full |
Conditional models for spatial extremes |
title_fullStr |
Conditional models for spatial extremes |
title_full_unstemmed |
Conditional models for spatial extremes |
title_sort |
conditional models for spatial extremes |
publisher |
Lancaster University |
publishDate |
2020 |
url |
https://eprints.lancs.ac.uk/id/eprint/142284/ https://eprints.lancs.ac.uk/id/eprint/142284/1/2020shooterphd.pdf https://doi.org/10.17635/lancaster/thesis/919 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_relation |
https://eprints.lancs.ac.uk/id/eprint/142284/1/2020shooterphd.pdf Shooter, Robert (2020) Conditional models for spatial extremes. PhD thesis, UNSPECIFIED. |
op_rights |
creative_commons_attribution_noncommercial_4_0_international_license |
op_doi |
https://doi.org/10.17635/lancaster/thesis/919 |
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1775353442820161536 |