Spatio-temporal modeling for record-breaking temperature events in Spain

Fuente: arXiv
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Main Authors: Castillo-Mateo, Jorge, Gelfand, Alan E., Gracia-Tabuenca, Zeus, Asín, Jesús, Cebrián, Ana C.
Format: Preprint
Published: 2024
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_version_ 1866912574952439808
author Castillo-Mateo, Jorge
Gelfand, Alan E.
Gracia-Tabuenca, Zeus
Asín, Jesús
Cebrián, Ana C.
author_facet Castillo-Mateo, Jorge
Gelfand, Alan E.
Gracia-Tabuenca, Zeus
Asín, Jesús
Cebrián, Ana C.
contents Record-breaking temperature events are now very frequently in the news, viewed as evidence of climate change. With this as motivation, we undertake the first substantial spatial modeling investigation of temperature record-breaking across years for any given day within the year. We work with a dataset consisting of over sixty years (1960-2021) of daily maximum temperatures across peninsular Spain. Formal statistical analysis of record-breaking events is an area that has received attention primarily within the probability community, dominated by results for the stationary record-breaking setting with some additional work addressing trends. Such effort is inadequate for analyzing actual record-breaking data. Effective analysis requires rich modeling of the indicator events which define record-breaking sequences. Resulting from novel and detailed exploratory data analysis, we propose hierarchical conditional models for the indicator events. After suitable model selection, we discover explicit trend behavior, necessary autoregression, significance of distance to the coast, useful interactions, helpful spatial random effects, and very strong daily random effects. Illustratively, the model estimates that global warming trends have increased the number of records expected in the past decade almost two-fold, 1.93 (1.89,1.98), but also estimates highly differentiated climate warming rates in space and by season.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00080
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spatio-temporal modeling for record-breaking temperature events in Spain
Castillo-Mateo, Jorge
Gelfand, Alan E.
Gracia-Tabuenca, Zeus
Asín, Jesús
Cebrián, Ana C.
Methodology
Applications
Record-breaking temperature events are now very frequently in the news, viewed as evidence of climate change. With this as motivation, we undertake the first substantial spatial modeling investigation of temperature record-breaking across years for any given day within the year. We work with a dataset consisting of over sixty years (1960-2021) of daily maximum temperatures across peninsular Spain. Formal statistical analysis of record-breaking events is an area that has received attention primarily within the probability community, dominated by results for the stationary record-breaking setting with some additional work addressing trends. Such effort is inadequate for analyzing actual record-breaking data. Effective analysis requires rich modeling of the indicator events which define record-breaking sequences. Resulting from novel and detailed exploratory data analysis, we propose hierarchical conditional models for the indicator events. After suitable model selection, we discover explicit trend behavior, necessary autoregression, significance of distance to the coast, useful interactions, helpful spatial random effects, and very strong daily random effects. Illustratively, the model estimates that global warming trends have increased the number of records expected in the past decade almost two-fold, 1.93 (1.89,1.98), but also estimates highly differentiated climate warming rates in space and by season.
title Spatio-temporal modeling for record-breaking temperature events in Spain
topic Methodology
Applications
url https://arxiv.org/abs/2403.00080