IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v30y2016i15d10.1007_s11269-016-1543-z.html
   My bibliography  Save this article

Analysing Drought Severity and Areal Extent by 2D Archimedean Copulas

Author

Listed:
  • George Tsakiris

    (National Technical University of Athens)

  • Nikos Kordalis

    (National Technical University of Athens)

  • Dimitris Tigkas

    (National Technical University of Athens)

  • Vasileios Tsakiris

    (National Technical University of Athens)

  • Harris Vangelis

    (National Technical University of Athens)

Abstract

Droughts can be considered as multidimensional hazardous phenomena characterised by three attributes: severity, duration and areal extent. Conventionally, drought events are assessed for their severity, using drought indices such as SPI (Standardised Precipitation Index), RDI (Reconnaissance Drought Index), PDSI (Palmer Drought Severity Index) and many others. This approach may be extended to incorporate the modelling of an additional dimension, the duration or the areal extent. Since the marginal distributions describing these dimensions of drought are often different, no simple mixed probability distribution can be used for the bivariate frequency analysis. The copula approach seems to be sufficiently general and suitable for this type of analysis. It is the aim of this paper to analyse droughts as two-dimensional phenomena, including drought severity and areal extent. In this paper, the Gumbel-Hougaard copula from the Archimedean family is used for this two-dimensional frequency analysis. Annual data on historical droughts from Eastern Crete are analysed for their severity and areal extent, producing copula-based probability distributions, incorporating Gumbel marginal probability functions. Useful conclusions are derived for estimating the «OR» return period of drought events related to both severity and areal extent.

Suggested Citation

  • George Tsakiris & Nikos Kordalis & Dimitris Tigkas & Vasileios Tsakiris & Harris Vangelis, 2016. "Analysing Drought Severity and Areal Extent by 2D Archimedean Copulas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(15), pages 5723-5735, December.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:15:d:10.1007_s11269-016-1543-z
    DOI: 10.1007/s11269-016-1543-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11269-016-1543-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11269-016-1543-z?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. L. Vergni & F. Todisco & F. Mannocchi, 2015. "Erratum to: Analysis of agricultural drought characteristics through a two-dimensional copula," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(11), pages 4203-4204, September.
    2. F. Todisco & F. Mannocchi & L. Vergni, 2013. "Severity–duration–frequency curves in the mitigation of drought impact: an agricultural case study," 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. 65(3), pages 1863-1881, February.
    3. G. Tsakiris & I. Nalbantis & H. Vangelis & B. Verbeiren & M. Huysmans & B. Tychon & I. Jacquemin & F. Canters & S. Vanderhaegen & G. Engelen & L. Poelmans & P. Becker & O. Batelaan, 2013. "A System-based Paradigm of Drought Analysis for Operational Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(15), pages 5281-5297, December.
    4. 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.
    5. Brunella Bonaccorso & David Peres & Antonio Castano & Antonino Cancelliere, 2015. "SPI-Based Probabilistic Analysis of Drought Areal Extent in Sicily," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 459-470, January.
    6. Mohammad Kousari & Mohammad Dastorani & Yaghoub Niazi & Esmaeel Soheili & Mehdi Hayatzadeh & Javad Chezgi, 2014. "Trend Detection of Drought in Arid and Semi-Arid Regions of Iran Based on Implementation of Reconnaissance Drought Index (RDI) and Application of Non-Parametrical Statistical Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(7), pages 1857-1872, May.
    7. Gregor Weiß, 2011. "Copula parameter estimation by maximum-likelihood and minimum-distance estimators: a simulation study," Computational Statistics, Springer, vol. 26(1), pages 31-54, March.
    8. 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.
    9. 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.
    10. 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.
    11. Mohammad Asadi Zarch & Hossein Malekinezhad & Mohammad Mobin & Mohammad Dastorani & Mohammad Kousari, 2011. "Drought Monitoring by Reconnaissance Drought Index (RDI) in Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(13), pages 3485-3504, October.
    12. 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.
    13. 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.
    14. L. Vergni & F. Todisco & F. Mannocchi, 2015. "Analysis of agricultural drought characteristics through a two-dimensional copula," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2819-2835, June.
    15. Poulomi Ganguli & M. Reddy, 2012. "Risk Assessment of Droughts in Gujarat Using Bivariate Copulas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(11), pages 3301-3327, September.
    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. Olusola O. Ayantobo & Yi Li & Songbai Song, 2019. "Multivariate Drought Frequency Analysis using Four-Variate Symmetric and Asymmetric Archimedean Copula Functions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(1), pages 103-127, January.
    2. George Tsakiris, 2017. "Drought Risk Assessment and Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(10), pages 3083-3095, August.
    3. Xingang Wang & Bingxiang Wang & Miaoxin Chang & Lei Li, 2020. "Reliability and sensitivity analysis for bearings considering the correlation of multiple failure modes by mixed Copula function," Journal of Risk and Reliability, , vol. 234(1), pages 15-26, February.
    4. Mohammad Amin Asadi Zarch, 2022. "Past and Future Global Drought Assessment," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(13), pages 5259-5276, October.
    5. Jiawei Zhou & Xiaohong Chen & Chuang Xu & Pan Wu, 2022. "Assessing Socioeconomic Drought Based on a Standardized Supply and Demand Water Index," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(6), pages 1937-1953, April.
    6. Fawen Li & Huifeng Liu & Xu Chen & Dong Yu, 2019. "Trivariate Copula Based Evaluation Model of Water Accessibility," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(9), pages 3211-3225, July.
    7. Vergni, L. & Todisco, F. & Di Lena, B. & Mannocchi, F., 2020. "Bivariate analysis of drought duration and severity for irrigation planning," Agricultural Water Management, Elsevier, vol. 229(C).
    8. Abdelaaziz Merabti & Diogo S. Martins & Mohamed Meddi & Luis S. Pereira, 2018. "Spatial and Time Variability of Drought Based on SPI and RDI with Various Time Scales," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 1087-1100, February.
    9. Elaheh Motevali Bashi Naeini & Ali Mohammad Akhoond-Ali & Fereydoun Radmanesh & Jahangir Abedi Koupai & Shahrokh Soltaninia, 2021. "Comparison of the Calculated Drought Return Periods Using Tri-variate and Bivariate Copula Functions Under Climate Change Condition," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(14), pages 4855-4875, November.
    10. Lamneithem Hangshing & Parmendra P. Dabral, 2018. "Multivariate Frequency Analysis of Meteorological Drought Using Copula," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(5), pages 1741-1758, March.
    11. Abdelaaziz Merabti & Mohamed Meddi & Diogo S. Martins & Luis S. Pereira, 2018. "Comparing SPI and RDI Applied at Local Scale as Influenced by Climate," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 1071-1085, February.
    12. Gokmen Tayfur & Bihrat Onoz & Antonino Cancelliere & Luis Garrote, 2016. "Editorial: Water Resources Management in a Changing World: Challenges and Opportunities," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(15), pages 5553-5557, December.
    13. Antonino Cancelliere, 2017. "Non Stationary Analysis of Extreme Events," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(10), pages 3097-3110, August.

    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. Vergni, L. & Todisco, F. & Di Lena, B. & Mannocchi, F., 2020. "Bivariate analysis of drought duration and severity for irrigation planning," Agricultural Water Management, Elsevier, vol. 229(C).
    2. Zahra Fahimirad & Nazanin Shahkarami, 2021. "The Impact of Climate Change on Hydro-Meteorological Droughts Using Copula Functions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(12), pages 3969-3993, September.
    3. L. Vergni & F. Todisco & F. Mannocchi, 2015. "Analysis of agricultural drought characteristics through a two-dimensional copula," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2819-2835, June.
    4. Muhammad Imran Khan & Dong Liu & Qiang Fu & Qaisar Saddique & Muhammad Abrar Faiz & Tianxiao Li & Muhammad Uzair Qamar & Song Cui & Chen Cheng, 2017. "Projected Changes of Future Extreme Drought Events under Numerous Drought Indices in the Heilongjiang Province of China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(12), pages 3921-3937, September.
    5. Javad Bazrafshan, 2017. "Effect of Air Temperature on Historical Trend of Long-Term Droughts in Different Climates of Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(14), pages 4683-4698, November.
    6. Jenq-Tzong Shiau & Jia-Wei Lin, 2016. "Clustering Quantile Regression-Based Drought Trends in Taiwan," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(3), pages 1053-1069, February.
    7. Abdelaaziz Merabti & Mohamed Meddi & Diogo S. Martins & Luis S. Pereira, 2018. "Comparing SPI and RDI Applied at Local Scale as Influenced by Climate," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 1071-1085, February.
    8. Ziqiang Xing & Denghua Yan & Cheng Zhang & Gang Wang & Dongdong Zhang, 2015. "Spatial Characterization and Bivariate Frequency Analysis of Precipitation and Runoff in the Upper Huai River Basin, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3291-3304, July.
    9. Fatih Tosunoglu & Ibrahim Can, 2016. "Application of copulas for regional bivariate frequency analysis of meteorological droughts in Turkey," 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 1457-1477, July.
    10. Zahra Sadat Hosseini & Mahnoosh Moghaddasi & Shahla Paimozd, 2023. "Simultaneous Monitoring of Different Drought Types Using Linear and Nonlinear Combination Approaches," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(3), pages 1125-1151, February.
    11. Rina Wu & Jiquan Zhang & Yuhai Bao & Enliang Guo, 2019. "Run Theory and Copula-Based Drought Risk Analysis for Songnen Grassland in Northeastern China," Sustainability, MDPI, vol. 11(21), pages 1-17, October.
    12. 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.
    13. 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.
    14. Ning Nie & Wanchang Zhang & Zhijie Zhang & Huadong Guo & Natarajan Ishwaran, 2016. "Reconstructed Terrestrial Water Storage Change (ΔTWS) from 1948 to 2012 over the Amazon Basin with the Latest GRACE and GLDAS Products," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 279-294, January.
    15. 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.
    16. 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).
    17. Kumar Amrit & Rajendra P. Pandey & Surendra K. Mishra, 2018. "Characteristics of meteorological droughts in northwestern India," 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. 94(2), pages 561-582, November.
    18. Furat A. M. Al-Faraj & Dimitris Tigkas, 2016. "Impacts of Multi-year Droughts and Upstream Human-Induced Activities on the Development of a Semi-arid Transboundary Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5131-5143, November.
    19. Poulomi Ganguli & M. Reddy, 2012. "Risk Assessment of Droughts in Gujarat Using Bivariate Copulas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(11), pages 3301-3327, September.
    20. Kimia Naderi & Mahnoosh Moghaddasi & Ashkan shokri, 2022. "Drought Occurrence Probability Analysis Using Multivariate Standardized Drought Index and Copula Function Under Climate Change," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(8), pages 2865-2888, June.

    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:30:y:2016:i:15:d:10.1007_s11269-016-1543-z. 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.