Hybrid Fuzzy—Probabilistic Analysis and Classification of the Hydrological Drought

Spiliotis, Mike; Papadopoulos, Christoforos; Angelidis, Panagiotis; Papadopoulos, Basil K.

doi:10.3390/proceedings2110643

Cited by 3 publications

(4 citation statements)

References 11 publications

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“…The level h denotes that the observation of WT, WT obs i , is contained in the support set of the corresponding fuzzy estimate g WT i with a membership degree greater than h (Spiliotis et al 2018a(Spiliotis et al , 2018b.…”

Section: Fuzzy Linear Regression Based On Tanaka's Modelmentioning

confidence: 99%

“…The majority of the applications of fuzzy sets and logic in hydrology is focused on the use of ANFIS, which is a hybrid fuzzy-neural approach, and other machine learning techniques. However, even if the errors remain within an acceptable range, sometimes the rational and logical basis of the application is erroneous (Sen 2010;Spiliotis et al 2018aSpiliotis et al , 2018bSpiliotis et al , 2020. However, these approaches are very useful, since the hydrogeological systems are complex, and hence, it is very difficult to apply the physical-based models.…”

Section: Introductionmentioning

confidence: 99%

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

Papadopoulos

Spiliotis

Gkiougkis

et al. 2021

Journal of Hydroinformatics

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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.

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Section: Fuzzy Linear Regression Based On Tanaka's Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Papadopoulos

Spiliotis

Gkiougkis

et al. 2021

Journal of Hydroinformatics

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“…The concept of inclusion interprets the inclusion constraints (Equation ( 8)) of the optimization problem according to which an observation of groundwater depth (D GW,obs j ) at the examined point in time j is included into the estimated fuzzy groundwater depth ( D GW j ) with an associated degree h ∈ [0, 1]. The level h denotes that the observation D GW,obs j is contained in the support set of the corresponding estimated D GW j with a membership degree greater than h [43].…”

Section: Basic Consepts Of Fuzzy Logic and Setsmentioning

confidence: 99%

Relating Hydro-Meteorological Variables to Water Table in an Unconfined Aquifer via Fuzzy Linear Regression

Papadopoulos¹,

Spiliotis²,

Gkiougkis³

et al. 2021

Environments

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This study aims to assess the short-term response of groundwater to the main hydro-meteorological variables of drought in a coastal unconfined aquifer. For this purpose, a multiple fuzzy linear regression-based methodology is implemented in order to relate rainfall, streamflow and the potential evapotranspiration to groundwater. Fuzzy regression analysis is recommended when there is a lack of data. The uncertainty of the system is incorporated into the regression coefficients which, in this study, are considered to be fuzzy symmetrical triangular numbers. Two objective functions are used producing a fuzzy band in which all the observed data must be included. The first objective function, based on Tanaka’s model, minimizes the total width of the produced fuzzy band. The second one includes the first while additionally minimizing the distance between the central value of the fuzzy output of the model and the observed value. Validity of the model is checked through suitability measures. The present methodology is applied at the east part of the Nestos River Delta in the Prefecture of Xanthi (Greece), where the observed values of the depth of groundwater level of four wells are examined.

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“…Several studies have shown the ability of the function distribution such as Gamma distribution [7,[69][70][71][72], Pearson distribution [46,[73][74][75][76][77] and Weibull distribution [71,78,79] to fit the time series of streamflow. A hybrid fuzzy probabilistic approach proposed by Spiliotis et al [80] to improve the couple between the observed probabilities and the adopted theoretical probability distribution. Log-normal and Weibull distributions were usually recommended and most frequently used for low flow evaluation, but there are no specific standards on which techniques to use for which data.…”

Section: Drought Severitymentioning

confidence: 99%

Research Trends of Hydrological Drought: A Systematic Review

Hasan

Razali

Muhammad

et al. 2019

Water

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The frequency and severity of global drought-induced impacts have led to raising awareness of the need for improved river management. Although academic publications on drought have proliferated, a systematic review of literature has not yet been conducted to identify trends, themes, key topics, and authorships. This study aims to evaluate the scientific evidence for the hydrological drought characteristics and the methodologies by performing as a framework. This systematic review performed three-stage screening of literature review for current applicable hydrological drought studies that have been conducted since the year of 2000 concerning methodologies, literature research gaps, and trends, and contribute to future studies. The analysis shows the increasing trends of research and publications in the hydrological drought assessment. The primary research themes are hydrological drought is drought severity, drought vulnerability, and drought forecast. Despite the current research findings, spatial and temporal variability, low flow analysis and regional modelling are the most important to encourage a holistic approach and international collaborations. The finding identified the shortcomings of most research, which are the use of non-standardized methodological and distinct sample sizes, resulting in data summary challenges and unrealistic comparisons.

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Hybrid Fuzzy—Probabilistic Analysis and Classification of the Hydrological Drought

Cited by 3 publications

References 11 publications

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

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

Relating Hydro-Meteorological Variables to Water Table in an Unconfined Aquifer via Fuzzy Linear Regression

Research Trends of Hydrological Drought: A Systematic Review

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