Similarity of empirical copulas of flood peak-volume relationships: a regional case study of North-West Austria
This paper analyses the bivariate relationship between flood peaks and corresponding flood event volumes modelled by empirical copulas in a regional context in the North-West of Austria. Flood data of a total of 69 catchments in the region are analysed for the period 1976–2007. In order to increase...
Main Authors: | , , , , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Earth Science Institute, Slovak Academy of Sciences, Slovakia
2016-09-01
|
Series: | Contributions to Geophysics and Geodesy |
Subjects: | |
Online Access: | https://journal.geo.sav.sk/cgg/article/view/151 |
id |
doaj-b7d82a8ba8494cbc95d5eb2f4f9d8537 |
---|---|
record_format |
Article |
spelling |
doaj-b7d82a8ba8494cbc95d5eb2f4f9d85372020-11-25T02:45:03ZengEarth Science Institute, Slovak Academy of Sciences, SlovakiaContributions to Geophysics and Geodesy1338-05402016-09-0146315517810.1515/congeo-2016-0011151Similarity of empirical copulas of flood peak-volume relationships: a regional case study of North-West AustriaLadislav GAÁL0Ján SZOLGAY1Tomáš BACIGÁL2Silvia KOHNOVÁ3Kamila HLAVČOVÁ4Roman VÝLETA5Juraj PARAJKA6Günter BLÖSCHL7Slovak University of Technology, Faculty of Civil EngineeringSlovak University of Technology, Faculty of Civil EngineeringSlovak University of Technology, Faculty of Civil EngineeringSlovak University of Technology, Faculty of Civil EngineeringSlovak University of Technology, Faculty of Civil EngineeringSlovak University of Technology, Faculty of Civil EngineeringVienna University of Technology, Institute for Hydraulic and Water Resources EngineeringVienna University of Technology, Institute for Hydraulic and Water Resources EngineeringThis paper analyses the bivariate relationship between flood peaks and corresponding flood event volumes modelled by empirical copulas in a regional context in the North-West of Austria. Flood data of a total of 69 catchments in the region are analysed for the period 1976–2007. In order to increase the sample size and the homogeneity of the samples for the statistical analysis, 24872 hydrologically independent flood events were isolated and assigned to one of three flood process types: synoptic floods, flash floods or snowmelt floods in contrary to the more traditional engineering approach of selecting annual maxima of flood peaks and corresponding flood volumes. The first major part of the paper examines whether the empirical peak-volume copulas of different flood process types are statistically distinguishable, separately for each catchment. The results indicate that the empirical copulas of flash floods tend to be different from those of the synoptic and snowmelt floods in the target region. The second part examines how similar are the empirical flood peak-volume copulas between catchments for a given flood type. For the majority of catchment pairs, the empirical copulas of all flood types are indeed statistically similar. The flash floods show the largest degree of spatial heterogeneity. It is concluded that there is merit in treating flood types separately and in pooling events of the same type in a region when analysing and estimating flood peak-volume dependence copulas; however, the sample size of the analysed events is a limiting factor in spite of the introduced event selection procedure.https://journal.geo.sav.sk/cgg/article/view/151flood types, regionalisation, flood peaks, flood volumes, copulas, bivariate distributions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ladislav GAÁL Ján SZOLGAY Tomáš BACIGÁL Silvia KOHNOVÁ Kamila HLAVČOVÁ Roman VÝLETA Juraj PARAJKA Günter BLÖSCHL |
spellingShingle |
Ladislav GAÁL Ján SZOLGAY Tomáš BACIGÁL Silvia KOHNOVÁ Kamila HLAVČOVÁ Roman VÝLETA Juraj PARAJKA Günter BLÖSCHL Similarity of empirical copulas of flood peak-volume relationships: a regional case study of North-West Austria Contributions to Geophysics and Geodesy flood types, regionalisation, flood peaks, flood volumes, copulas, bivariate distributions |
author_facet |
Ladislav GAÁL Ján SZOLGAY Tomáš BACIGÁL Silvia KOHNOVÁ Kamila HLAVČOVÁ Roman VÝLETA Juraj PARAJKA Günter BLÖSCHL |
author_sort |
Ladislav GAÁL |
title |
Similarity of empirical copulas of flood peak-volume relationships: a regional case study of North-West Austria |
title_short |
Similarity of empirical copulas of flood peak-volume relationships: a regional case study of North-West Austria |
title_full |
Similarity of empirical copulas of flood peak-volume relationships: a regional case study of North-West Austria |
title_fullStr |
Similarity of empirical copulas of flood peak-volume relationships: a regional case study of North-West Austria |
title_full_unstemmed |
Similarity of empirical copulas of flood peak-volume relationships: a regional case study of North-West Austria |
title_sort |
similarity of empirical copulas of flood peak-volume relationships: a regional case study of north-west austria |
publisher |
Earth Science Institute, Slovak Academy of Sciences, Slovakia |
series |
Contributions to Geophysics and Geodesy |
issn |
1338-0540 |
publishDate |
2016-09-01 |
description |
This paper analyses the bivariate relationship between flood peaks and corresponding flood event volumes modelled by empirical copulas in a regional context in the North-West of Austria. Flood data of a total of 69 catchments in the region are analysed for the period 1976–2007. In order to increase the sample size and the homogeneity of the samples for the statistical analysis, 24872 hydrologically independent flood events were isolated and assigned to one of three flood process types: synoptic floods, flash floods or snowmelt floods in contrary to the more traditional engineering approach of selecting annual maxima of flood peaks and corresponding flood volumes. The first major part of the paper examines whether the empirical peak-volume copulas of different flood process types are statistically distinguishable, separately for each catchment. The results indicate that the empirical copulas of flash floods tend to be different from those of the synoptic and snowmelt floods in the target region. The second part examines how similar are the empirical flood peak-volume copulas between catchments for a given flood type. For the majority of catchment pairs, the empirical copulas of all flood types are indeed statistically similar. The flash floods show the largest degree of spatial heterogeneity. It is concluded that there is merit in treating flood types separately and in pooling events of the same type in a region when analysing and estimating flood peak-volume dependence copulas; however, the sample size of the analysed events is a limiting factor in spite of the introduced event selection procedure. |
topic |
flood types, regionalisation, flood peaks, flood volumes, copulas, bivariate distributions |
url |
https://journal.geo.sav.sk/cgg/article/view/151 |
work_keys_str_mv |
AT ladislavgaal similarityofempiricalcopulasoffloodpeakvolumerelationshipsaregionalcasestudyofnorthwestaustria AT janszolgay similarityofempiricalcopulasoffloodpeakvolumerelationshipsaregionalcasestudyofnorthwestaustria AT tomasbacigal similarityofempiricalcopulasoffloodpeakvolumerelationshipsaregionalcasestudyofnorthwestaustria AT silviakohnova similarityofempiricalcopulasoffloodpeakvolumerelationshipsaregionalcasestudyofnorthwestaustria AT kamilahlavcova similarityofempiricalcopulasoffloodpeakvolumerelationshipsaregionalcasestudyofnorthwestaustria AT romanvyleta similarityofempiricalcopulasoffloodpeakvolumerelationshipsaregionalcasestudyofnorthwestaustria AT jurajparajka similarityofempiricalcopulasoffloodpeakvolumerelationshipsaregionalcasestudyofnorthwestaustria AT gunterbloschl similarityofempiricalcopulasoffloodpeakvolumerelationshipsaregionalcasestudyofnorthwestaustria |
_version_ |
1724764412550578176 |