IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v26y2012i9p2453-2473.html
   My bibliography  Save this article

Computation of Drought Index SPI with Alternative Distribution Functions

Author

Listed:
  • Panagiotis Angelidis
  • Fotios Maris
  • Nikos Kotsovinos
  • Vlassios Hrissanthou

Abstract

The Standardized Precipitation Index (SPI) is widely used as drought meteorological index, to identify the duration and/or severity of a drought. The SPI is usually computed by fitting the gamma probability distribution to the observed precipitation data. In this work, the possibility to calculate SPI by fitting to the precipitation data the normal and the log-normal probability distributions was studied. For this purpose, 19 time series of monthly precipitation of 76 years were used, and the assumption that the gamma probability distribution would provide better representation of the precipitation data than log-normal and normal distributions, at various time scales (1, 3, 6, 12 and 24 months) was tested. It is concluded that for SPI of 12 or 24 months, the log-normal or the normal probability distribution can be used for simplicity, instead of gamma, producing almost the same results. Copyright Springer Science+Business Media B.V. 2012

Suggested Citation

  • Panagiotis Angelidis & Fotios Maris & Nikos Kotsovinos & Vlassios Hrissanthou, 2012. "Computation of Drought Index SPI with Alternative Distribution Functions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(9), pages 2453-2473, July.
  • Handle: RePEc:spr:waterr:v:26:y:2012:i:9:p:2453-2473
    DOI: 10.1007/s11269-012-0026-0
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11269-012-0026-0
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11269-012-0026-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ali Tabrizi & Davar Khalili & Ali Kamgar-Haghighi & Shahrokh Zand-Parsa, 2010. "Utilization of Time-Based Meteorological Droughts to Investigate Occurrence of Streamflow Droughts," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4287-4306, December.
    2. Ana Paulo & Luis Pereira, 2007. "Prediction of SPI Drought Class Transitions Using Markov Chains," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(10), pages 1813-1827, October.
    3. Peter Domonkos, 2003. "Recent Precipitation Trends in Hungary in the Context of Larger Scale Climatic Changes," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 29(2), pages 255-271, June.
    4. Konstantine Georgakakos & Deg-Hyo Bae & Chang-Sam Jeong, 2005. "Utility of Ten-Day Climate Model Ensemble Simulations for Water Resources Applications in Korean Watersheds," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 19(6), pages 849-872, December.
    5. B. Bonaccorso & I. Bordi & A. Cancelliere & G. Rossi & A. Sutera, 2003. "Spatial Variability of Drought: An Analysis of the SPI in Sicily," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 17(4), pages 273-296, August.
    6. Lampros Vasiliades & Athanasios Loukas & Nikos Liberis, 2011. "A Water Balance Derived Drought Index for Pinios River Basin, Greece," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(4), pages 1087-1101, March.
    7. J. Shiau, 2006. "Fitting Drought Duration and Severity with Two-Dimensional Copulas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(5), pages 795-815, October.
    8. Harris Vangelis & Mike Spiliotis & George Tsakiris, 2011. "Drought Severity Assessment Based on Bivariate Probability Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(1), pages 357-371, January.
    9. 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.
    10. Desalegn Edossa & Mukand Babel & Ashim Das Gupta, 2010. "Drought Analysis in the Awash River Basin, Ethiopia," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(7), pages 1441-1460, May.
    11. Guangju Zhao & Georg Hörmann & Nicola Fohrer & Zengxin Zhang & Jianqing Zhai, 2010. "Streamflow Trends and Climate Variability Impacts in Poyang Lake Basin, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(4), pages 689-706, March.
    12. Paulo, A.A. & Ferreira, E. & Coelho, C. & Pereira, L.S., 2005. "Drought class transition analysis through Markov and Loglinear models, an approach to early warning," Agricultural Water Management, Elsevier, vol. 77(1-3), pages 59-81, August.
    13. Tayeb Raziei & Bahram Saghafian & Ana Paulo & Luis Pereira & Isabella Bordi, 2009. "Spatial Patterns and Temporal Variability of Drought in Western Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(3), pages 439-455, February.
    14. Sergio Vicente-Serrano, 2006. "Differences in Spatial Patterns of Drought on Different Time Scales: An Analysis of the Iberian Peninsula," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(1), pages 37-60, February.
    15. I. Nalbantis & G. Tsakiris, 2009. "Assessment of Hydrological Drought Revisited," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(5), pages 881-897, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Roman Rolbiecki & Ali Yücel & Joanna Kocięcka & Atılgan Atilgan & Monika Marković & Daniel Liberacki, 2022. "Analysis of SPI as a Drought Indicator during the Maize Growing Period in the Çukurova Region (Turkey)," Sustainability, MDPI, vol. 14(6), pages 1-29, March.
    2. Yixuan Wang & Jianzhu Li & Ping Feng & Rong Hu, 2015. "A Time-Dependent Drought Index for Non-Stationary Precipitation Series," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(15), pages 5631-5647, December.
    3. Nur Mohamed Muse & Gokmen Tayfur & Mir Jafar Sadegh Safari, 2023. "Meteorological Drought Assessment and Trend Analysis in Puntland Region of Somalia," Sustainability, MDPI, vol. 15(13), pages 1-23, July.
    4. Javad Bazrafshan & Mehdi Nadi & Khalil Ghorbani, 2015. "Comparison of Empirical Copula-Based Joint Deficit Index (JDI) and Multivariate Standardized Precipitation Index (MSPI) for Drought Monitoring in Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(6), pages 2027-2044, April.
    5. Majid Montaseri & Babak Amirataee & Rizwan Nawaz, 2017. "A Monte Carlo Simulation-Based Approach to Evaluate the Performance of three Meteorological Drought Indices in Northwest of Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(4), pages 1323-1342, March.
    6. V. K. Prajapati & M. Khanna & M. Singh & R. Kaur & R. N. Sahoo & D. K. Singh, 2021. "Evaluation of time scale of meteorological, hydrological and agricultural drought indices," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 109(1), pages 89-109, October.
    7. Fernando Oñate-Valdivieso & Veronica Uchuari & Arianna Oñate-Paladines, 2020. "Large-Scale Climate Variability Patterns and Drought: A Case of Study in South – America," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(6), pages 2061-2079, April.
    8. Fadhilah Yusof & Foo Hui-Mean & Jamaludin Suhaila & Zulkifli Yusof, 2013. "Characterisation of Drought Properties with Bivariate Copula Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(12), pages 4183-4207, September.
    9. Dai, Meng & Huang, Shengzhi & Huang, Qiang & Leng, Guoyong & Guo, Yi & Wang, Lu & Fang, Wei & Li, Pei & Zheng, Xudong, 2020. "Assessing agricultural drought risk and its dynamic evolution characteristics," Agricultural Water Management, Elsevier, vol. 231(C).
    10. Jie Yang & Yimin Wang & Jun Yao & Jianxia Chang & Guoxin Xu & Xin Wang & Hui Hu, 2020. "Coincidence probability analysis of hydrologic low-flow under the changing environment in the Wei River Basin," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 103(2), pages 1711-1726, September.
    11. Abolfazl Mosaedi & Hamid Zare Abyaneh & Mohammad Ghabaei Sough & S. Samadi, 2015. "Quantifying Changes in Reconnaissance Drought Index using Equiprobability Transformation Function," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2451-2469, June.
    12. Peyman Mahmoudi & Alireza Ghaemi & Allahbakhsh Rigi & Seyed Mahdi Amir Jahanshahi, 2021. "RETRACTED ARTICLE: Recommendations for modifying the Standardized Precipitation Index (SPI) for Drought Monitoring in Arid and Semi-arid Regions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(10), pages 3253-3275, August.
    13. Amolegbe, Khadijat Busola & Fontep, Eugenie Rose & Ahodode, Bernadin Géraud Comlan & Pagal, Emmanuelle Dorcas Mbanga & Ardelkrim, Araar, 2023. "Gendered Effects of Crop Diversification and Climate Shocks on Household Food Security Status in Nigeria," 97th Annual Conference, March 27-29, 2023, Warwick University, Coventry, UK 334551, Agricultural Economics Society - AES.
    14. Abdol Rassoul Zarei & Mohammad Mehdi Moghimi & Mohammad Reza Mahmoudi, 2016. "Parametric and Non-Parametric Trend of Drought in Arid and Semi-Arid Regions Using RDI Index," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5479-5500, November.
    15. Milan Gocic & Slavisa Trajkovic, 2014. "Drought Characterisation Based on Water Surplus Variability Index," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3179-3191, August.
    16. Milan Cisty & Anna Becova & Lubomir Celar, 2016. "Analysis of Irrigation Needs Using an Approach Based on a Bivariate Copula Methodology," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 167-182, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. N. Subash & H. Mohan, 2011. "A Simple Rationally Integrated Drought Indicator for Rice–Wheat Productivity," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(10), pages 2425-2447, August.
    2. Javad Bazrafshan & Somayeh Hejabi & Jaber Rahimi, 2014. "Drought Monitoring Using the Multivariate Standardized Precipitation Index (MSPI)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(4), pages 1045-1060, March.
    3. Jianzhu Li & Shuhan Zhou & Rong Hu, 2016. "Hydrological Drought Class Transition Using SPI and SRI Time Series by Loglinear Regression," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 669-684, January.
    4. G. Buttafuoco & T. Caloiero & R. Coscarelli, 2015. "Analyses of Drought Events in Calabria (Southern Italy) Using Standardized Precipitation Index," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 557-573, January.
    5. Jianzhu Li & Shuhan Zhou & Rong Hu, 2016. "Hydrological Drought Class Transition Using SPI and SRI Time Series by Loglinear Regression," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 669-684, January.
    6. Desalegn Edossa & Mukand Babel & Ashim Das Gupta, 2010. "Drought Analysis in the Awash River Basin, Ethiopia," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(7), pages 1441-1460, May.
    7. Fadhilah Yusof & Foo Hui-Mean & Jamaludin Suhaila & Zulkifli Yusof, 2013. "Characterisation of Drought Properties with Bivariate Copula Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(12), pages 4183-4207, September.
    8. Tayeb Raziei & Isabella Bordi & Luis Pereira, 2011. "An Application of GPCC and NCEP/NCAR Datasets for Drought Variability Analysis in Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(4), pages 1075-1086, March.
    9. Dimitrios Myronidis & Konstantinos Ioannou & Dimitrios Fotakis & Gerald Dörflinger, 2018. "Streamflow and Hydrological Drought Trend Analysis and Forecasting in Cyprus," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(5), pages 1759-1776, March.
    10. Ana Paulo & Luis Pereira, 2008. "Stochastic Prediction of Drought Class Transitions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(9), pages 1277-1296, September.
    11. Samane Saadat & Davar Khalili & Ali Kamgar-Haghighi & Shahrokh Zand-Parsa, 2013. "Investigation of spatio-temporal patterns of seasonal streamflow droughts in a semi-arid region," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 69(3), pages 1697-1720, December.
    12. Arash Modaresi Rad & Davar Khalili & Ali Akbar Kamgar-Haghighi & Shahrokh Zand-Parsa & Seyed Adib Banimahd, 2016. "Assessment of seasonal characteristics of streamflow droughts under semiarid conditions," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 82(3), pages 1541-1564, July.
    13. Davar Khalili & Tohid Farnoud & Hamed Jamshidi & Ali Kamgar-Haghighi & Shahrokh Zand-Parsa, 2011. "Comparability Analyses of the SPI and RDI Meteorological Drought Indices in Different Climatic Zones," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(6), pages 1737-1757, April.
    14. Alireza Shokoohi & Reza Morovati, 2015. "Basinwide Comparison of RDI and SPI Within an IWRM Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(6), pages 2011-2026, April.
    15. Ali Tabrizi & Davar Khalili & Ali Kamgar-Haghighi & Shahrokh Zand-Parsa, 2010. "Utilization of Time-Based Meteorological Droughts to Investigate Occurrence of Streamflow Droughts," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4287-4306, December.
    16. U. Surendran & B. Anagha & P. Raja & V. Kumar & K. Rajan & M. Jayakumar, 2019. "Analysis of Drought from Humid, Semi-Arid and Arid Regions of India Using DrinC Model with Different Drought Indices," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(4), pages 1521-1540, March.
    17. Seyed Banimahd & Davar Khalili, 2013. "Factors Influencing Markov Chains Predictability Characteristics, Utilizing SPI, RDI, EDI and SPEI Drought Indices in Different Climatic Zones," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 3911-3928, September.
    18. Hossein Tabari & Jaefar Nikbakht & P. Hosseinzadeh Talaee, 2013. "Hydrological Drought Assessment in Northwestern Iran Based on Streamflow Drought Index (SDI)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(1), pages 137-151, January.
    19. Hossein Tabari & Reza Zamani & Hossein Rahmati & Patrick Willems, 2015. "Markov Chains of Different Orders for Streamflow Drought Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3441-3457, July.
    20. Tayeb Raziei & Bahram Saghafian & Ana Paulo & Luis Pereira & Isabella Bordi, 2009. "Spatial Patterns and Temporal Variability of Drought in Western Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(3), pages 439-455, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:waterr:v:26:y:2012:i:9:p:2453-2473. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.