Articles | Volume 24, issue 9
https://doi.org/10.5194/hess-24-4541-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-24-4541-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
21 Sep 2020
Research article |
| 21 Sep 2020
| 21 Sep 2020
A universal Standardized Precipitation Index candidate distribution function for observations and simulations
Patrick Pieper
CORRESPONDING AUTHOR
Institute of Oceanography, Center for Earth System Research and Sustainability, Universität Hamburg, Hamburg, Germany
André Düsterhus
Irish Climate Analysis and Research UnitS (ICARUS), Department of Geography, Maynooth University, Maynooth, Ireland
Johanna Baehr
Institute of Oceanography, Center for Earth System Research and Sustainability, Universität Hamburg, Hamburg, Germany
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Cited
27 citations as recorded by crossref.
- Attribution of air temperature and precipitation to the future global drought events R. Fu et al. 10.1088/2515-7620/acde37
- Using a regional frequency analysis approach for calculating the Standardized Precipitation Index: an operational approach based on the two-parameter gamma distribution E. dos Santos Junior et al. 10.1007/s00704-022-03989-7
- How standard are standardized drought indices? Uncertainty components for the SPI & SPEI case J. Laimighofer & G. Laaha 10.1016/j.jhydrol.2022.128385
- Propagation in the Drought Cascade: Observational Analysis Over the Continental US D. Entekhabi 10.1029/2022WR032608
- Improving the interpretation of standardized precipitation index estimates to capture drought characteristics in changing climate conditions G. Blain et al. 10.1002/joc.7550
- Uncertainty analysis of SPI and SRI calculation using bootstrap in the Mediterranean regions of Algeria M. Achite et al. 10.1007/s11069-024-06642-w
- Drought cascade lag time estimation across Africa based on remote sensing of hydrological cycle components A. Amazirh et al. 10.1016/j.advwatres.2023.104586
- Exploring the joint probability of precipitation and soil moisture over Europe using copulas C. Cammalleri et al. 10.5194/hess-28-103-2024
- An Alternative Approach for Computing the Standardized Precipitation-Evapotranspiration Index (SPEI) T. Raziei & M. Miri 10.1007/s11269-023-03542-9
- Effect Analysis of Probability Estimators on Parameter Estimation of the Three-Parameter Weibull Distribution X. Yang et al. 10.1142/S0219455424500093
- On interval estimation methods for the location parameter of the Weibull distribution: An application to alloy material fatigue failure data X. Yang et al. 10.1080/03610926.2023.2242984
- The PowerSDI: an R-package for implementing and calculating the SPI and SPEI using data from the NASAPOWER project G. Blain et al. 10.1590/1678-4499.20230260
- Standardized precipitation evapotranspiration index (SPEI) for Canada: assessment of probability distributions B. Tam et al. 10.1080/07011784.2023.2183143
- Spatial-temporal dynamics of meteorological and soil moisture drought on the Tibetan Plateau: Trend, response, and propagation process H. Lin et al. 10.1016/j.jhydrol.2023.130211
- On the relation between antecedent basin conditions and runoff coefficient for European floods C. Massari et al. 10.1016/j.jhydrol.2023.130012
- Adapting the regional frequency analysis based on L-moments to improve the standardized precipitationevapotranspiration index L. Martins et al. 10.1590/1678-4499.20240029
- Optimal Probability Distribution and Applicable Minimum Time-Scale for Daily Standardized Precipitation Index Time Series in South Korea C. Lee et al. 10.3390/atmos14081292
- Determining optimal probability distributions for gridded precipitation data based on L-moments M. Li et al. 10.1016/j.scitotenv.2023.163528
- Accuracy Evaluation of Standardized Precipitation Index (SPI) Estimation under Conventional Assumption in Yeşilırmak, Kızılırmak, and Konya Closed Basins, Turkey M. Hinis et al. 10.1155/2023/5142965
- Improving the normalization procedure of the simplified standardized precipitation index (SSPI) using Box–Cox transformation T. Raziei 10.1007/s00477-022-02317-9
- A Common Factor Analysis Based Data Mining Procedure for Effective Assessment of 21st Century Drought under Multiple Global Climate Models M. Ahmad et al. 10.1007/s11269-023-03581-2
- Improving seasonal predictions of meteorological drought by conditioning on ENSO states P. Pieper et al. 10.1088/1748-9326/ac1cbb
- SPI-3 Analysis of Medjerda River Basin and Gamma Model Limits in Semi-Arid and Arid Contexts Z. Kebaili Bargaoui & S. Jemai 10.3390/atmos13122021
- Appropriate statistical rainfall distribution models for the computation of standardized precipitation index (SPI) in Cameroon A. Fotse et al. 10.1007/s12145-023-01188-0
- Multiscale analysis of drought, heatwaves, and compound events in the Brazilian Pantanal in 2019–2021 M. Calim Costa et al. 10.1007/s00704-023-04655-2
- Past and future annual droughts in the five agro-ecological zones of Cameroon G. Guenang et al. 10.1007/s11600-023-01202-5
- Hydrological Response to Drought Occurrences in a Brazilian Savanna Basin R. Junqueira et al. 10.3390/resources9100123
25 citations as recorded by crossref.
- Attribution of air temperature and precipitation to the future global drought events R. Fu et al. 10.1088/2515-7620/acde37
- Using a regional frequency analysis approach for calculating the Standardized Precipitation Index: an operational approach based on the two-parameter gamma distribution E. dos Santos Junior et al. 10.1007/s00704-022-03989-7
- How standard are standardized drought indices? Uncertainty components for the SPI & SPEI case J. Laimighofer & G. Laaha 10.1016/j.jhydrol.2022.128385
- Propagation in the Drought Cascade: Observational Analysis Over the Continental US D. Entekhabi 10.1029/2022WR032608
- Improving the interpretation of standardized precipitation index estimates to capture drought characteristics in changing climate conditions G. Blain et al. 10.1002/joc.7550
- Uncertainty analysis of SPI and SRI calculation using bootstrap in the Mediterranean regions of Algeria M. Achite et al. 10.1007/s11069-024-06642-w
- Drought cascade lag time estimation across Africa based on remote sensing of hydrological cycle components A. Amazirh et al. 10.1016/j.advwatres.2023.104586
- Exploring the joint probability of precipitation and soil moisture over Europe using copulas C. Cammalleri et al. 10.5194/hess-28-103-2024
- An Alternative Approach for Computing the Standardized Precipitation-Evapotranspiration Index (SPEI) T. Raziei & M. Miri 10.1007/s11269-023-03542-9
- Effect Analysis of Probability Estimators on Parameter Estimation of the Three-Parameter Weibull Distribution X. Yang et al. 10.1142/S0219455424500093
- On interval estimation methods for the location parameter of the Weibull distribution: An application to alloy material fatigue failure data X. Yang et al. 10.1080/03610926.2023.2242984
- The PowerSDI: an R-package for implementing and calculating the SPI and SPEI using data from the NASAPOWER project G. Blain et al. 10.1590/1678-4499.20230260
- Standardized precipitation evapotranspiration index (SPEI) for Canada: assessment of probability distributions B. Tam et al. 10.1080/07011784.2023.2183143
- Spatial-temporal dynamics of meteorological and soil moisture drought on the Tibetan Plateau: Trend, response, and propagation process H. Lin et al. 10.1016/j.jhydrol.2023.130211
- On the relation between antecedent basin conditions and runoff coefficient for European floods C. Massari et al. 10.1016/j.jhydrol.2023.130012
- Adapting the regional frequency analysis based on L-moments to improve the standardized precipitationevapotranspiration index L. Martins et al. 10.1590/1678-4499.20240029
- Optimal Probability Distribution and Applicable Minimum Time-Scale for Daily Standardized Precipitation Index Time Series in South Korea C. Lee et al. 10.3390/atmos14081292
- Determining optimal probability distributions for gridded precipitation data based on L-moments M. Li et al. 10.1016/j.scitotenv.2023.163528
- Accuracy Evaluation of Standardized Precipitation Index (SPI) Estimation under Conventional Assumption in Yeşilırmak, Kızılırmak, and Konya Closed Basins, Turkey M. Hinis et al. 10.1155/2023/5142965
- Improving the normalization procedure of the simplified standardized precipitation index (SSPI) using Box–Cox transformation T. Raziei 10.1007/s00477-022-02317-9
- A Common Factor Analysis Based Data Mining Procedure for Effective Assessment of 21st Century Drought under Multiple Global Climate Models M. Ahmad et al. 10.1007/s11269-023-03581-2
- Improving seasonal predictions of meteorological drought by conditioning on ENSO states P. Pieper et al. 10.1088/1748-9326/ac1cbb
- SPI-3 Analysis of Medjerda River Basin and Gamma Model Limits in Semi-Arid and Arid Contexts Z. Kebaili Bargaoui & S. Jemai 10.3390/atmos13122021
- Appropriate statistical rainfall distribution models for the computation of standardized precipitation index (SPI) in Cameroon A. Fotse et al. 10.1007/s12145-023-01188-0
- Multiscale analysis of drought, heatwaves, and compound events in the Brazilian Pantanal in 2019–2021 M. Calim Costa et al. 10.1007/s00704-023-04655-2
Latest update: 29 Jun 2024
Short summary
The Standardized Precipitation Index (SPI) is a widely accepted drought index. SPI normalizes the precipitation distribution via a probability density function (PDF). However, which PDF properly normalizes SPI is still disputed. We suggest using a previously mostly overlooked PDF, namely the exponentiated Weibull distribution. The proposed PDF ensures the normality of the index. We demonstrate this – for the first time – for all common accumulation periods in both observations and simulations.
The Standardized Precipitation Index (SPI) is a widely accepted drought index. SPI normalizes...
