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Standardized drought indices: a novel univariate and multivariate approach

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  • Tobias M. Erhardt
  • Claudia Czado

Abstract

As drought is among the natural hazards which affect people and economies world wide and often results in huge monetary losses, sophisticated methods for drought monitoring and decision making are needed. Many approaches to quantify drought severity have been developed during recent decades. However, most of these drought indices suffer from different shortcomings, account only for one or two driving factors which promote drought conditions and neglect their interdependences. We provide novel methodology for the calculation of (multivariate) drought indices, which combines the advantages of existing approaches and omits their disadvantages. It can be used flexibly in different applications to model different types of drought on the basis of user‐selected, drought relevant variables. The methodology benefits from the flexibility of vine copulas in modelling multivariate non‐Gaussian intervariable dependence structures. Based on a three‐variate data set, an exemplary agrometeorological drought index is developed. The data analysis illustrates and reasons the methodology described. A validation of the exemplary multivariate agrometeorological drought index against observed soybean yield affirms the validity and abilities of the methodology. A comparison with established drought indices shows the benefits of our multivariate approach.

Suggested Citation

  • Tobias M. Erhardt & Claudia Czado, 2018. "Standardized drought indices: a novel univariate and multivariate approach," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 67(3), pages 643-664, April.
  • Handle: RePEc:bla:jorssc:v:67:y:2018:i:3:p:643-664
    DOI: 10.1111/rssc.12242
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    Cited by:

    1. Levent Latifoğlu & Mehmet Özger, 2023. "A Novel Approach for High-Performance Estimation of SPI Data in Drought Prediction," Sustainability, MDPI, vol. 15(19), pages 1-29, September.
    2. Zhenya Li & Zulfiqar Ali & Tong Cui & Sadia Qamar & Muhammad Ismail & Amna Nazeer & Muhammad Faisal, 2022. "A comparative analysis of pre- and post-industrial spatiotemporal drought trends and patterns of Tibet Plateau using Sen slope estimator and steady-state probabilities of Markov Chain," 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. 113(1), pages 547-576, August.
    3. Tugrul Varol & Ayhan Atesoglu & Halil Baris Ozel & Mehmet Cetin, 2023. "Copula-based multivariate standardized drought index (MSDI) and length, severity, and frequency of hydrological drought in the Upper Sakarya Basin, 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. 116(3), pages 3669-3683, April.
    4. Jacek M. Pijanowski & Andrzej Wałęga & Leszek Książek & Andrzej Strużyński & Krzysztof Goleniowski & Jan Zarzycki & Tomasz Kowalik & Andrzej Bogdał & Maciej Wyrębek & Karol Szeremeta, 2022. "An Expert Approach to an Assessment of the Needs of Land Consolidation within the Scope of Improving Water Resource Management," Sustainability, MDPI, vol. 14(24), pages 1-23, December.

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