Fuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of Xanthi plain, NE Greece

This paper studies, through the principles of fuzzy set theory, groundwater response to meteorological drought in the case of an aquifer system located in the plains at the southeast of Xanthi, NE Greece. Meteorological drought is expressed through standardized Reconnaissance Drought Index (RDISt) a...

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Autores principales: Christopher Papadopoulos, Mike Spiliotis, Ioannis Gkiougkis, Fotios Pliakas, Basil Papadopoulos
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Publicado: IWA Publishing 2021
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spelling oai:doaj.org-article:a243450c3beb4ee4a86d6ecc4143daef2021-11-05T17:51:33ZFuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of Xanthi plain, NE Greece1464-71411465-173410.2166/hydro.2021.025https://doaj.org/article/a243450c3beb4ee4a86d6ecc4143daef2021-09-01T00:00:00Zhttp://jh.iwaponline.com/content/23/5/1112https://doaj.org/toc/1464-7141https://doaj.org/toc/1465-1734This paper studies, through the principles of fuzzy set theory, groundwater response to meteorological drought in the case of an aquifer system located in the plains at the southeast of Xanthi, NE Greece. Meteorological drought is expressed through standardized Reconnaissance Drought Index (RDISt) and Standardized Precipitation Index (SPI), which are calculated for various reference periods. These drought indices are considered as independent variables in multiple fuzzy linear regression based on Tanaka's model, while the observed water table regarding two areas is used as a dependent variable. The fuzzy linear regression of Tanaka is characterized by the inclusion constraints where all the observed data must be included in the produced fuzzy band. Hence, each fuzzy output can get an interval of values where a membership degree corresponds to each of them. A modification of the Tanaka model by adding constraints is proposed in order to avoid irrational behavior. The results show that there was a significant influence of the meteorological drought of the previous hydrological year, while geology plays an important role. Furthermore, the use of RDISt improves the results of fuzzy linear regressions in all cases. Two suitability measures and a measure of comparison between fuzzy numbers are used. HIGHLIGHTS The Fuzzy linear regression of Tanaka is applied between meteorological drought indices and groundwater level in an aquifer system of Xanthi plain.; Two suitability measures are used. The first one includes the objective function of Tanaka's model, while the second one is a fuzzified measure.; A ranking measure is used in order to compare the fuzzified measures of suitability.;Christopher PapadopoulosMike SpiliotisIoannis GkiougkisFotios PliakasBasil PapadopoulosIWA Publishingarticlefuzzy linear regressionmeteorological droughtreconnaissance drought indexstandardized precipitation indexwater tablexanthi plainInformation technologyT58.5-58.64Environmental technology. Sanitary engineeringTD1-1066ENJournal of Hydroinformatics, Vol 23, Iss 5, Pp 1112-1129 (2021)
institution DOAJ
collection DOAJ
language EN
topic fuzzy linear regression
meteorological drought
reconnaissance drought index
standardized precipitation index
water table
xanthi plain
Information technology
T58.5-58.64
Environmental technology. Sanitary engineering
TD1-1066
spellingShingle fuzzy linear regression
meteorological drought
reconnaissance drought index
standardized precipitation index
water table
xanthi plain
Information technology
T58.5-58.64
Environmental technology. Sanitary engineering
TD1-1066
Christopher Papadopoulos
Mike Spiliotis
Ioannis Gkiougkis
Fotios Pliakas
Basil Papadopoulos
Fuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of Xanthi plain, NE Greece
description This paper studies, through the principles of fuzzy set theory, groundwater response to meteorological drought in the case of an aquifer system located in the plains at the southeast of Xanthi, NE Greece. Meteorological drought is expressed through standardized Reconnaissance Drought Index (RDISt) and Standardized Precipitation Index (SPI), which are calculated for various reference periods. These drought indices are considered as independent variables in multiple fuzzy linear regression based on Tanaka's model, while the observed water table regarding two areas is used as a dependent variable. The fuzzy linear regression of Tanaka is characterized by the inclusion constraints where all the observed data must be included in the produced fuzzy band. Hence, each fuzzy output can get an interval of values where a membership degree corresponds to each of them. A modification of the Tanaka model by adding constraints is proposed in order to avoid irrational behavior. The results show that there was a significant influence of the meteorological drought of the previous hydrological year, while geology plays an important role. Furthermore, the use of RDISt improves the results of fuzzy linear regressions in all cases. Two suitability measures and a measure of comparison between fuzzy numbers are used. HIGHLIGHTS The Fuzzy linear regression of Tanaka is applied between meteorological drought indices and groundwater level in an aquifer system of Xanthi plain.; Two suitability measures are used. The first one includes the objective function of Tanaka's model, while the second one is a fuzzified measure.; A ranking measure is used in order to compare the fuzzified measures of suitability.;
format article
author Christopher Papadopoulos
Mike Spiliotis
Ioannis Gkiougkis
Fotios Pliakas
Basil Papadopoulos
author_facet Christopher Papadopoulos
Mike Spiliotis
Ioannis Gkiougkis
Fotios Pliakas
Basil Papadopoulos
author_sort Christopher Papadopoulos
title Fuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of Xanthi plain, NE Greece
title_short Fuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of Xanthi plain, NE Greece
title_full Fuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of Xanthi plain, NE Greece
title_fullStr Fuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of Xanthi plain, NE Greece
title_full_unstemmed Fuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of Xanthi plain, NE Greece
title_sort fuzzy linear regression analysis for groundwater response to meteorological drought in the aquifer system of xanthi plain, ne greece
publisher IWA Publishing
publishDate 2021
url https://doaj.org/article/a243450c3beb4ee4a86d6ecc4143daef
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