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Analysis of hydrological drought characteristics using copula function approach

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Abstract

Drought is a natural phenomenon which starts with decreased precipitation and can disrupt the environmental systems by changing the hydrological cycle. This is more conspicuous in hydrological drought. In analysis of hydrological drought, two factors of severity (intensity) and duration play eminent role. These characteristics are highly related and therefore their combined analysis contributes to better understanding of the drought situation. In this research, by using 40-year (1974–2014) daily discharge data of Tajan River, located in Mazandaran province, Iran, and low-flow indices, the best evaluation index of hydrological drought was determined and 10 past hydrological drought events in the region were identified. Then, the best statistical distribution of both drought variables (duration and severity) was selected, based on the goodness-of-fit tests. Five copula functions were fitted to the data. Results showed that Galambos function with the highest maximum log-likelihood (− 8.934) was selected as the best copula function. Results of the bivariate (duration and severity) statistical distribution could be used to analyze the probability of hydrological drought in the region. This bivariate and conditional probability for the worst drought, with duration of 5 months and severity of 0.32, was 6.1 and 28.5%, respectively.

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References

  • Cancelliere A, Salas JD (2004) Drought length properties for periodic-stochastic hydrologic data. Water Resour Res. https://doi.org/10.1029/2002WR001750

    Google Scholar 

  • Chen L, Singh VP, Guo S, Mishra AK, Guo J (2013) Drought analysis using copulas. J Hydrol Eng 18(7):797–808. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000697

    Article  Google Scholar 

  • Cisty M, Celar L, Becova A (2015) Application of copulas in analysis of drought and irrigation. In: The ninth international conference on advanced engineering computing and applications in sciences, Bratislava, Slovakia

  • De Michele C, Salvadori G (2003) A generalized Pareto intensity-duration model of storm rainfall exploiting 2-copulas. J Geophys Res 108(D2):4067

    Article  Google Scholar 

  • Fleig AK, Tallaksen LM, Hisdal H, Demuth S (2006) A global evaluation of streamflow drought characteristics. Hydrol Earth Syst Sci 10:535–552

    Article  Google Scholar 

  • Hadiani MO, Jahanbakhsh Asl S, Rezaei Banafsheh M, Dinpashoh Y, Jahanbani M (2013) Investigating the trend of low flow changes of glacial snow regime rivers in Mazandaran province. Int J Agric Crop Sci 6(14):982–987

    Google Scholar 

  • Kousari MR, Dastorani MT, Niazi Y, Soheili E, Hayatzadeh M, Chezgi J (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 Resour Manag 28:1857–1872. https://doi.org/10.1007/s11269-014-0558-6

    Article  Google Scholar 

  • Kwak J, Kim S, Kim G, Singh VP, Park J, Kim HS (2016) Bivariate drought analysis using streamflow reconstruction with tree ring indices in the Sacramento Basin, California, USA. Water 8(4):122. https://doi.org/10.3390/w8040122

    Article  Google Scholar 

  • Nalbantis I, Tsakiris G (2009) Assessment of hydrological drought revisited. Water Resour Manag 23:881–897

    Article  Google Scholar 

  • Nazemi A, Elshorbagy A (2011) Application of copula modelling to the performance assessment of reconstructed watersheds. Stoch Environ Res Risk Assess 26(2):189–205

    Article  Google Scholar 

  • Nelsen RB (2006) An introduction to copulas. Springer, New York

    Google Scholar 

  • Niu J, Chen J, Sun L (2015) Exploration of drought evolution using numerical simulations over the Xijiang (West River) basin in South China. J Hydrol 526:68–77

    Article  Google Scholar 

  • Peters E, Bier G, van Lanen HAJ, Torfs PJJF (2006) Propagation and spatial distribution of drought in a groundwater catchment. J Hydrol 321:257–275

    Article  Google Scholar 

  • Piechota TC, Dracup JA (1996) Drought and regional hydrologic variation in the United States: associations with the El Niño-Southern oscillation. Water Resour Res. https://doi.org/10.1029/96WR00353

    Google Scholar 

  • Reddy MJ, Ganguli P (2012) Bivariate flood frequency analysis of upper Godavari river flows using Archimedean copulas. Water Resour Manag 26(14):3995–4018

    Article  Google Scholar 

  • Serinaldi F, Bonaccorso B, Cancelliere A, Grimaldi S (2009) Probabilistic characterization of drought properties through copulas. Phys Chem Earth 34(10–12):596–605

    Article  Google Scholar 

  • Shiau J (2006) Fitting drought duration and severity with two-dimensional copulas. Water Resour Manag 20(5):795–815

    Article  Google Scholar 

  • Shiau JT, Feng S, Nadarajah S (2007) Assessment of hydrological droughts for the Yellow River, China, using copulas. Hydrol Process 21:2157–2163

    Article  Google Scholar 

  • Sklar A (1959) Distribution functions of n dimensions and margins, vol 8. Institute of Statistics of the University of Paris, Paris, pp 229–231 (in French)

    Google Scholar 

  • Song S, Singh VP (2010) Meta-elliptical copulas for drought frequency analysis of periodic hydrologic data. Stoch Environ Res Risk Assess 24:425–444

    Article  Google Scholar 

  • Tallaksen LM, van Lanen HAJ (2004) Hydrological drought processes and estimation methods for streamflow and groundwater. Developments in Water Science, 48. Elsevier, Amsterdam

    Google Scholar 

  • Tallaksen LM, Hisdal H, van Lanen HAJ (2006) Propagation of drought in a groundwater fed catchment, the Pang in UK. In: Proceedings of the fifth FRIEND world conference (climate variability and change-hydrological impacts), Havana, Cuba, November 2006, IAHS Publ. 308, pp 128–133

  • Van Huijgevoort MHJ, Van Lanen AHJ, Teuling AJ, Uijlenhoet R (2014) Identification of changes in hydrological drought characteristics from a multi-GCM driven ensemble constrained by observed discharge. J Hydrol 512:421–434

    Article  Google Scholar 

  • Vasiliades L, Loukas A, Liberis N (2011) A water balance derived drought index for Pinios River Basin, Greece. Water Resour Manag 25:1087–1101

    Article  Google Scholar 

  • Wilhite DA, Glantz MH (1985) Understanding the drought phenomenon: the role of definitions. Water Int 10(3):111–120

    Article  Google Scholar 

  • Wilhite DA, Svoboda MD, Hayes MJ (2006) Understanding the complex impacts of drought: a key to enhancing drought mitigation and preparedness. Water Resour Manag 21:763–774

    Article  Google Scholar 

  • Wong G, van Lanen HAJ, Torfs PJJF (2013) Probabilistic analysis of hydrological drought characteristics using meteorological drought. Hydrol Sci J 58(2):253–270

    Article  Google Scholar 

  • Yevjevich V (1967) An objective approach to definitions and investigations of continental hydrologic droughts. Hydrology Papers, No. 23, Colorado State University, Fort Collins

  • Zhang L, Singh VP (2012) Bivariate rainfall and runoff analysis using entropy and copula theories. Entropy 14:1784–1812

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Civil Engineering, Semnan University, Semnan, Iran

    Hamidreza Vaziri, Hojat Karami & Sayed-Farhad Mousavi

  2. College of Engineering, Islamic Azad University, Ghaemshahr Branch, Ghaemshahr, Iran

    Miromid Hadiani

Authors
  1. Hamidreza Vaziri
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  2. Hojat Karami
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  3. Sayed-Farhad Mousavi
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  4. Miromid Hadiani
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Correspondence to Hojat Karami.

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Vaziri, H., Karami, H., Mousavi, SF. et al. Analysis of hydrological drought characteristics using copula function approach. Paddy Water Environ 16, 153–161 (2018). https://doi.org/10.1007/s10333-017-0626-7

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  • DOI: https://doi.org/10.1007/s10333-017-0626-7

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