Extreme Months: Multidimensional Studies in the Carpathian Basin

In addition to the one-dimensional mathematical statistical methods used to study the climate and its possible variations, the study of several elements together is also worthwhile. Here, a combined analysis of precipitation and temperature time series was performed using the norm method based on th...

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Main Authors: Beatrix Izsák, Tamás Szentimrey, Mónika Lakatos, Rita Pongrácz
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Atmosphere
Subjects:
Online Access:https://www.mdpi.com/2073-4433/13/11/1908
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author Beatrix Izsák
Tamás Szentimrey
Mónika Lakatos
Rita Pongrácz
author_facet Beatrix Izsák
Tamás Szentimrey
Mónika Lakatos
Rita Pongrácz
author_sort Beatrix Izsák
collection DOAJ
description In addition to the one-dimensional mathematical statistical methods used to study the climate and its possible variations, the study of several elements together is also worthwhile. Here, a combined analysis of precipitation and temperature time series was performed using the norm method based on the probability distribution of the elements. This means, schematically speaking, that each component was transformed into a standard normal distribution so that no element was dominant. The transformed components were sorted into a vector, the inverse of the correlation matrix was determined and the resulting norm was calculated. Where this norm was at the maximum, the extreme vector, in this case the extreme month, was found. In this paper, we presented the results obtained from a joint analysis of the monthly precipitation and temperature time series for the whole territory of Hungary over the period 1871–2020. To do this, multidimensional statistical tests that allowed the detection of climate change were defined. In the present analysis, we restricted ourselves to two-dimensional analyses. The results showed that none of the tests could detect two-dimensional climate change on a spatial average for the months of January, April, July and December, while all the statistical tests used indicated a clear change in the months of March and August. As for the other months, one or two, but not necessarily all tests, showed climate change in two dimensions.
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spelling doaj.art-9b374c12c0d043139101fa915b11890d2023-11-24T07:42:46ZengMDPI AGAtmosphere2073-44332022-11-011311190810.3390/atmos13111908Extreme Months: Multidimensional Studies in the Carpathian BasinBeatrix Izsák0Tamás Szentimrey1Mónika Lakatos2Rita Pongrácz3Hungarian Meteorological Service, Kitabel Pál Utca 1, H-1024 Budapest, HungaryVarimax Limited Partnership, Nyár u. 11, H-1039 Budapest, HungaryHungarian Meteorological Service, Kitabel Pál Utca 1, H-1024 Budapest, HungaryELTE Department of Meteorology, Pázmány Péter Sétány 1/A, H-1117 Budapest, HungaryIn addition to the one-dimensional mathematical statistical methods used to study the climate and its possible variations, the study of several elements together is also worthwhile. Here, a combined analysis of precipitation and temperature time series was performed using the norm method based on the probability distribution of the elements. This means, schematically speaking, that each component was transformed into a standard normal distribution so that no element was dominant. The transformed components were sorted into a vector, the inverse of the correlation matrix was determined and the resulting norm was calculated. Where this norm was at the maximum, the extreme vector, in this case the extreme month, was found. In this paper, we presented the results obtained from a joint analysis of the monthly precipitation and temperature time series for the whole territory of Hungary over the period 1871–2020. To do this, multidimensional statistical tests that allowed the detection of climate change were defined. In the present analysis, we restricted ourselves to two-dimensional analyses. The results showed that none of the tests could detect two-dimensional climate change on a spatial average for the months of January, April, July and December, while all the statistical tests used indicated a clear change in the months of March and August. As for the other months, one or two, but not necessarily all tests, showed climate change in two dimensions.https://www.mdpi.com/2073-4433/13/11/1908multidimensional extremeclimate changehomogenizationinterpolationprecipitationtemperature
spellingShingle Beatrix Izsák
Tamás Szentimrey
Mónika Lakatos
Rita Pongrácz
Extreme Months: Multidimensional Studies in the Carpathian Basin
Atmosphere
multidimensional extreme
climate change
homogenization
interpolation
precipitation
temperature
title Extreme Months: Multidimensional Studies in the Carpathian Basin
title_full Extreme Months: Multidimensional Studies in the Carpathian Basin
title_fullStr Extreme Months: Multidimensional Studies in the Carpathian Basin
title_full_unstemmed Extreme Months: Multidimensional Studies in the Carpathian Basin
title_short Extreme Months: Multidimensional Studies in the Carpathian Basin
title_sort extreme months multidimensional studies in the carpathian basin
topic multidimensional extreme
climate change
homogenization
interpolation
precipitation
temperature
url https://www.mdpi.com/2073-4433/13/11/1908
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AT monikalakatos extrememonthsmultidimensionalstudiesinthecarpathianbasin
AT ritapongracz extrememonthsmultidimensionalstudiesinthecarpathianbasin