Joint space-time modelling for upper daily maximum and minimum temperature record-breaking

Fuente: arXiv
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Main Authors: Castillo-Mateo, Jorge, Gracia-Tabuenca, Zeus, Asín, Jesús, Cebrián, Ana C., Gelfand, Alan E.
Format: Preprint
Published: 2025
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author Castillo-Mateo, Jorge
Gracia-Tabuenca, Zeus
Asín, Jesús
Cebrián, Ana C.
Gelfand, Alan E.
author_facet Castillo-Mateo, Jorge
Gracia-Tabuenca, Zeus
Asín, Jesús
Cebrián, Ana C.
Gelfand, Alan E.
contents Record-breaking temperature events are now frequently in the news, proffered as evidence of climate change, and often bring significant economic and human impacts. Our previous work undertook the first substantial spatial modelling investigation of temperature record-breaking across years for any given day within the year, employing a dataset consisting of over sixty years of daily maximum temperatures across peninsular Spain. That dataset also supplies daily minimum temperatures (which, in fact, are now available through 2023). Here, the dataset is converted into a daily pair of binary events, indicators, for that day, of whether a yearly record was broken for the daily maximum temperature and/or for the daily minimum temperature. Joint modelling addresses several inference issues: (i) defining/modelling record-breaking with bivariate time series of yearly indicators, (ii) strength of relationship between record-breaking events, (iii) prediction of joint, conditional and marginal record-breaking, (iv) persistence in record-breaking across days, (v) spatial interpolation across peninsular Spain. We substantially expand our previous work to enable investigation of these issues. We observe strong correlation between both processes but a growing trend of climate change that is well differentiated between them both spatially and temporally as well as different strengths of persistence and spatial dependence.
format Preprint
id arxiv_https___arxiv_org_abs_2505_24436
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Joint space-time modelling for upper daily maximum and minimum temperature record-breaking
Castillo-Mateo, Jorge
Gracia-Tabuenca, Zeus
Asín, Jesús
Cebrián, Ana C.
Gelfand, Alan E.
Methodology
Applications
Record-breaking temperature events are now frequently in the news, proffered as evidence of climate change, and often bring significant economic and human impacts. Our previous work undertook the first substantial spatial modelling investigation of temperature record-breaking across years for any given day within the year, employing a dataset consisting of over sixty years of daily maximum temperatures across peninsular Spain. That dataset also supplies daily minimum temperatures (which, in fact, are now available through 2023). Here, the dataset is converted into a daily pair of binary events, indicators, for that day, of whether a yearly record was broken for the daily maximum temperature and/or for the daily minimum temperature. Joint modelling addresses several inference issues: (i) defining/modelling record-breaking with bivariate time series of yearly indicators, (ii) strength of relationship between record-breaking events, (iii) prediction of joint, conditional and marginal record-breaking, (iv) persistence in record-breaking across days, (v) spatial interpolation across peninsular Spain. We substantially expand our previous work to enable investigation of these issues. We observe strong correlation between both processes but a growing trend of climate change that is well differentiated between them both spatially and temporally as well as different strengths of persistence and spatial dependence.
title Joint space-time modelling for upper daily maximum and minimum temperature record-breaking
topic Methodology
Applications
url https://arxiv.org/abs/2505.24436