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Preparing stream flow drought severity–duration–frequency curves using threshold level method

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Abstract

Drought is a natural phenomenon which occurs in different climate regimes. In the present study, hydrological drought of the Roud Zard basin has been investigated based on run theory. Daily runoff data of Mashin hydrometery station during 1970 to 2012 was assessed using 70 % of mean daily runoff as threshold level. Results showed that the maximum drought duration of 309 days occurred in 1998 and 1999 and max drought deficit of 117.217 million cubic meters per second in 1983 with 275 days duration. Time series of the annual maxima values of duration and volume deficit showed similar trend of increase and decreasing. Burr statistical distribution, as the most suitable one fitted to the drought duration data, forecasted 339 days duration for drought event with 20 years return period and generalized extreme value forecasted 37.9 million cubic meters of deficit volume for this return period. Severity-duration-frequency (SDF) curves were prepared, classifying drought durations to four intervals and fitting statistical distribution to each. Resulted SDF curves showed that, in each period, increase of duration resulted in increased value of the volume deficit with a non-linear trend, though predicted drought volume with 20 years return period was 2.1 million cubic meters for 1 to 10 days duration, 6.9 for 11 to 30 days, 34.5 for 31 to 120 days, and 79.1 for more than 120 days duration drought event. Drought deficit volume increasing rate was also different in each class of duration interval. Drought SDF curves derived in this study can be used to quantify water deficit for natural stream and reservoir. SDFs could also be extended to allow for drought regional frequency analysis to be used in ungauged sites.

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References

  • American Meteorological Society (1997) Meteorological drought-policy statement. Bull Am Meteorol Soc 78:847–849

    Google Scholar 

  • Bonacci O (1993) Hydrological identification of drought. Hydrol Process 7:249–262

    Article  Google Scholar 

  • Chander, S., Spolia, S.K. and Kumar, A., (1979) Prediction of hydrologic characteristics of drought. Proceedings of the International on Hydrological Aspects of Drought, New Delhi, Indian Committee for IHP, 3–7 Dec. 1979, Vol 1, 305–318

  • Chang TJ, Stenson JR (1990) Is it realistic to define a 100-year drought for water management? Water Resour Bull 26:823–829

    Article  Google Scholar 

  • Chebana F, Quarda TBMJ (2011) Multivariate quantiles in hydrological frequency analysis. Environmetrics 22:63–78

    Article  Google Scholar 

  • Dalezois N, Loukas A, Vasilides L, Liakopolos E (2000) Severity-duration-frequency analysis of drought and wet periods in Greece. Hydrol Sci J 45:751–769

    Article  Google Scholar 

  • Dracup JA, Lee KS, Paulson EG Jr (1980a) On the statistical characteristics of drought events. Water Resour Res 16:289–296

  • Dracup JA, Lee KS, Paulson EG Jr (1980b) On the definition of drought. Water Res 16:297–302

  • Fermanian J-D (2005) Goodness-of-fit tests for copulas. J Multivar Anal 95:119–152

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Genest C, Rémillard B, Beaudoin D (2009) Goodness-of-fit tests for copulas: a review and a power study. Insur Math Econ 44:199–213

    Article  Google Scholar 

  • Gonzalez J, Valdes JB (2004) The mean frequency of recurrence of in-time-multidimensional events for drought analysis. Nat Hazards Earth Syst Sci 4:17–28

    Article  Google Scholar 

  • Heim RR Jr (2002) A review of twentieth-century drought indices used in the United States. Bull Am Meteorol Soc 83:1149–1165

  • Hisdal H, Tallaksen LM (2003) Estimation of regional meteorological and hydrological drought characteristics: a case study for Denmark. J Hydrol 281:230–247

    Article  Google Scholar 

  • Huang SH, Chang J, Huang Q, Chen Y (2014) Spatio-temporal changes and frequency analysis of drought in the Wei river basin, China. Water Resour Manag 28:3095–3110

    Article  Google Scholar 

  • Kao S-C, Govindaraju RS (2010) A copula-based joint deficit index for droughts. J Hydrol 380:121–134

    Article  Google Scholar 

  • Lee JH, Kim CJ (2013) A multimodal assessment of the climate change effect on the drought severity-duration-frequency relationship. Hydrol Process 27:2800–2813

    Article  Google Scholar 

  • Lee T, Modarres R, Quarda TBMJ (2013) Data-based analysis of bivariate copula tail dependence for drought duration and severity. Hydrol Process 27:1454–1463

    Article  Google Scholar 

  • Lilliefors HW (1967) On the Kolmogorov-Smirnov test for normality with mean and variance unknown. J Am Stat Assoc 62(318):399–402

    Article  Google Scholar 

  • Mallya G, Tripathi S, Govindaraju RS (2015) Probabilistic drought classification using gamma mixture models. J Hydrol 526:116–126

    Article  Google Scholar 

  • Massey FJ Jr (1951) The Kolmogorov-Smirnov test for goodness of fit. J Am Stat Assoc 46(253):68–78

  • Mishra AK, Singh VP (2010) A review of drought concepts. J Hydrol 391:202–216

    Article  Google Scholar 

  • Mishra AK, Singh VP, Desai VR (2009) Drought characterization: a probabilistic approach. Stoch Env Res Risk A 23:41–55

    Article  Google Scholar 

  • Modarres R, Sarhadi A (2010) Frequency distribution of extreme hydrologic drought of southeastern semiarid region, Iran. J Hydrol Eng 15(4):255–264

    Article  Google Scholar 

  • Moye LA, Kapadia AS, Cech IM, Hardy RJ (1988) The theory of runs with applications to drought prediction. J Hydrol 103:127–137

    Article  Google Scholar 

  • Nadarajah S (2009) A bivariate distribution with gamma and beta marginals with application to drought data. J Appl Stat 36(3):277–301

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Panu US, Sharma TC (2009) Analysis of annual hydrological drought: the case of Northwest Ontario, Canada. Hydrol Sci 54(1):29–42

    Article  Google Scholar 

  • Razmkhah H (2016) Comparing performance of different loss methods in rainfall-runoff modeling. Water Res 43(1):207–224

    Article  Google Scholar 

  • Reddy MJ, Ganguli P (2012) Application of copulas for deviation of drought severity-duration-frequency curves. Hydrol Process 26:1672–1685

    Article  Google Scholar 

  • Sen Z (1980) Critical drought analysis of periodic-stochastic processes. J Hydrol 46:251–263

    Article  Google Scholar 

  • Sharma TC, Panu US (2014) Modeling of hydrological drought durations and magnitudes: experiences on Canadian stream flows. J Hydrol 1:92–106

    Google Scholar 

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

    Article  Google Scholar 

  • Shiau J-T, Feng S, Nadarajah S (2007) Assesment of hydrological drought for the Yellow river, China, using copulas. Hydrol Process 21:2157–2163

    Article  Google Scholar 

  • Shiau TJ, Modarres R (2009) Copula-based drought severity-duration-frequency analysis in Iran. Meteorol Appl 16:481–489

    Article  Google Scholar 

  • Stedinger, J.R., Vogel, R.M. and Foufoula-Georgiou, E., (1993). Frequency analysis of extreme events. In: Maidment D (ed) Chapter 18, Handbook of Hydrol, Mc-Graw-Hill

  • Sung JH, Chung E-S (2014) Development of streamflow drought severity-duration-frequency curves using the threshold level method. Hydrol Earth Syst Sci 18:3341–3351

    Article  Google Scholar 

  • Tsakiris, G., Loukas, A., Pangalou, D., Vangellis, H., Tigkas, D., Rossi, G. and Cancelliere, A., (2007) Chapter 7. Drought characterization. In: Options Mediterraneennes, Series B., No. 58, p 85–102

  • Tsakiris G, Nalbantis I, Vangelis H, Verbeiren B, Huysmans M, Tychon B, Jacquemin I, Canters F, Vanderhaegen S, Engelen G, Poelmans L, De Becker P, Batelaan O (2013) A system-based paradigm of drought analysis for operational management. Water Resour Manag 27:5281–5297

    Article  Google Scholar 

  • Yevjevich, V., (1967). An objective approach to definitions and investigations of continental hydrologic drought. Hydrology Paper No. 23, Colorado State Univ

  • Yoo J, Kwon H-H, Kim T-W, Ahn J-H (2012) Drought frequency analysis using cluster analysis and bivariate probability distribution. J Hydrol 420-421:102–111

    Article  Google Scholar 

  • Zhang Q, Xiao M, Singh VP, Li J (2012) Regionalization and spatial changing properties of droughts across the Pearl river basin, China. J Hydrol 472-473:355–366

    Article  Google Scholar 

Download references

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Correspondence to Homa Razmkhah.

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Razmkhah, H. Preparing stream flow drought severity–duration–frequency curves using threshold level method. Arab J Geosci 9, 513 (2016). https://doi.org/10.1007/s12517-016-2528-1

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  • DOI: https://doi.org/10.1007/s12517-016-2528-1

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