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An Alternative Approach for Computing the Standardized Precipitation-Evapotranspiration Index (SPEI)

Author

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  • Tayeb Raziei

    (Agricultural Research, Education and Extension Organization (AREEO))

  • Morteza Miri

    (Agricultural Research, Education and Extension Organization (AREEO))

Abstract

This study presents an alternative approach for computing the Standardized Precipitation Evapotranspiration Index (SPEI). The proposed approach, called the Simplified Standardized Precipitation-Evapotranspiration Index (SSPEI), uses the Box-Cox transformation to normalize water balance anomalies (WBA) and subsequently convert the transformed series into the standard normal distribution (SND) using the Z-score formula. This approach is tested in 45 synoptic stations with varied climates across Iran. The stations’ monthly total precipitation and average minimum and maximum air temperatures for 1971–2017 were used to compute the potential evapotranspiration and eventually WBA series needed for SPEI/SSPEI computation. According to the findings, the skewness of the Box-Cox transformed series of almost all the time scales and stations are close to zero. Therefore, the transformed WBA series can be confidentially used for computing SSPEI. The normality of the computed SSPEI series and the SPEI time series computed with the Log-logistics (LLG) and Generalized Extreme Value (GEV) distributions for the studied stations were examined using different normality assessment measures. The computed SSPEI for all the time scales and stations was found to be normally distributed, and the percentage of the SSPEI series with SND was comparable to those of the SPEILLG and SPEIGEV time series. However, SSPEI was superior to SPEILLG and SPEIGEV as it is simple in computation, requires no distribution fitting, and never results in null values due to computation failure, as is common with SPEI.

Suggested Citation

  • Tayeb Raziei & Morteza Miri, 2023. "An Alternative Approach for Computing the Standardized Precipitation-Evapotranspiration Index (SPEI)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(10), pages 4123-4141, August.
  • Handle: RePEc:spr:waterr:v:37:y:2023:i:10:d:10.1007_s11269-023-03542-9
    DOI: 10.1007/s11269-023-03542-9
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    References listed on IDEAS

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    1. G. Tsakiris & D. Pangalou & H. Vangelis, 2007. "Regional Drought Assessment Based on the Reconnaissance Drought Index (RDI)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(5), pages 821-833, May.
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    Cited by:

    1. K. A. Jariwala & P. G. Agnihotri, 2023. "Comparative Analysis of Drought Modeling and Forecasting Using Soft Computing Techniques," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(15), pages 6051-6070, December.
    2. Tayeb Raziei & Luis Santos Pereira, 2024. "Relating the Drought Precipitation Percentiles Index to the Standardized Precipitation Index (SPI) under Influence of Aridity and Timescale," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 38(14), pages 5739-5758, November.
    3. Zehai Gao & Dongzhe Yang & Baojun Li & Zijun Gao & Chengcheng Li, 2025. "Reference Crop Evapotranspiration Prediction Based on Gated Recurrent Unit with Quantum Inspired Multi-head Self-attention Mechanism," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 39(3), pages 1481-1501, February.

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