New Insights into Meteorological and Hydrological Drought Modeling: A Comparative Analysis of Parametric and Non-Parametric Distributions

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Gepubliceerd in:Atmosphere vol. 16, no. 7 (2025), p. 846-871
Hoofdauteur: Abu Arra Ahmad
Andere auteurs: Şişman Eyüp
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MDPI AG
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LEADER 00000nab a2200000uu 4500
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022 |a 2073-4433 
024 7 |a 10.3390/atmos16070846  |2 doi 
035 |a 3233078690 
045 2 |b d20250101  |b d20251231 
084 |a 231428  |2 nlm 
100 1 |a Abu Arra Ahmad  |u Department of Civil Engineering, Yildiz Technical University, Istanbul 34220, Türkiye; esisman@yildiz.edu.tr 
245 1 |a New Insights into Meteorological and Hydrological Drought Modeling: A Comparative Analysis of Parametric and Non-Parametric Distributions 
260 |b MDPI AG  |c 2025 
513 |a Journal Article 
520 3 |a Accurate drought monitoring depends on selecting an appropriate cumulative distribution function (CDF) to model the original data, resulting in the standardized drought indices. In the numerous research studies, while rigorous validation was not made by scrutinizing the model assumptions and uncertainties in identifying theoretical drought CDF models, such oversights lead to biased representations of drought evaluation and characteristics. This research compares the parametric theoretical and empirical CDFs for a comprehensive evaluation of standardized Drought Indices. Additionally, it examines the advantages, disadvantages, and limitations of both empirical and theoretical distribution functions in drought assessment. Three drought indices, Standardized Precipitation Index (SPI), Streamflow Drought Index (SDI), and Standardized Precipitation Evapotranspiration Index (SPEI), cover meteorological and hydrological droughts. The assessment spans diverse applications, covering different climates and regions: Durham, United Kingdom (SPEI, 1868–2021); Konya, Türkiye (SPI, 1964–2022); and Lüleburgaz, Türkiye (SDI, 1957–2015). The findings reveal that theoretical and empirical CDFs demonstrated notable discrepancies, particularly in long-term hydrological drought assessments, where underestimations reached up to 50%, posing risks of misinformed conclusions that may impact critical drought-related decisions and policymaking. Root Mean Squared Error (RMSE) for SPI3 between empirical and best-fitted CDF was 0.087, and between empirical and Gamma it was 0.152. For SDI, it ranged between 0.09 and 0.143. The Mean Absolute Error (MAE) for SPEI was approximately 0.05 for all timescales. Additionally, it concludes that empirical CDFs provide more reliable and conservative drought assessments and are free from the constraints of model assumptions. Both approaches gave approximately the same drought duration with different intensities regarding drought characteristics. Due to the complex process of drought events and different definitions of drought events, each drought event must be studied separately, considering its effects on different sectors. 
651 4 |a Turkey 
653 |a Drought monitoring 
653 |a Comparative analysis 
653 |a Assessments 
653 |a Drought characteristics 
653 |a Evapotranspiration 
653 |a Environmental monitoring 
653 |a Water shortages 
653 |a Precipitation 
653 |a Drought 
653 |a Stream flow 
653 |a Hydrology 
653 |a Standardized precipitation index 
653 |a Climate change 
653 |a Evaluation 
653 |a Hydrologic drought 
653 |a Nonparametric statistics 
653 |a Drought index 
653 |a Root-mean-square errors 
653 |a Distribution functions 
653 |a Evapotranspiration-precipitation relationships 
653 |a Stream discharge 
653 |a Hydrologic models 
653 |a Rain 
700 1 |a Şişman Eyüp  |u Department of Civil Engineering, Yildiz Technical University, Istanbul 34220, Türkiye; esisman@yildiz.edu.tr 
773 0 |t Atmosphere  |g vol. 16, no. 7 (2025), p. 846-871 
786 0 |d ProQuest  |t Publicly Available Content Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3233078690/abstract/embedded/ZKJTFFSVAI7CB62C?source=fedsrch 
856 4 0 |3 Full Text + Graphics  |u https://www.proquest.com/docview/3233078690/fulltextwithgraphics/embedded/ZKJTFFSVAI7CB62C?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3233078690/fulltextPDF/embedded/ZKJTFFSVAI7CB62C?source=fedsrch