Abstract
Regional drought mitigation efforts depend on reliable estimates of intensity and severity of drought events. Most operational methods used for drought classification do not account modeling uncertainties and provide discrete drought classification. However, when uncertainty estimates in classification are available, they can be used to make informed decisions. This study compares a gamma-mixture-model-based probabilistic drought classification method that quantifies uncertainties in drought classification with the standardized precipitation index (SPI) that provides discrete classification. Further, if the precipitation data are nonstationary, then classical methods of drought classification are not applicable, and an alternate method for drought classification for trend stationary precipitation series is presented. This method is tested on synthetic and real-world precipitation data over India. The alternate method offers flexibility in modeling nonstationary time series. The advantages and limitations of this method are discussed along with a set of concluding remarks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
AghaKouchak A (2014) A baseline probabilistic drought forecasting framework using standardized soil moisture index: application to the 2012 United States drought. Hydrol Earth Syst Sci 18:2485–2492
Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19:716–723
Bagla P (2006) Controversial rivers project aims to turn India’s fierce monsoon into a friend. Science 313:1036–1037. https://doi.org/10.1126/science.313.5790.1036
Belayneh A, Adamowski J, Khalil B, Ozga-Zielinski B (2014) Long-term SPI drought forecasting in the Awash River Basin in Ethiopia using wavelet neural network and wavelet support vector regression models. J Hydrol 508:418–429. https://doi.org/10.1016/j.jhydrol.2013.10.052
Benjamini Y, Hochberg Y (1995) Controlling the false discovery rate: a practical and powerful approach to multiple testing. J R Stat Soc Ser B Methodol 57:289–300
Bishop CM (2006) Pattern Recognition and Machine Learning. Springer, New York
Bonaccorso B, Peres DJ, Cancelliere A, Rossi G (2013) Large scale probabilistic drought characterization over Europe. Water Resour Manag 27:1675–1692. https://doi.org/10.1007/s11269-012-0177-z
Burn DH, Elnur MAH (2002) Detection of hydrologic trends and variability. J Hydrol 255:107–122. https://doi.org/10.1016/S0022-1694(01)00514-5
Burroughs WJ (1999) The climate revealed. Cambridge University Press
Chow VT, Maidment DR, Mays LW (1988) Applied hydrology. McGraw-Hill. Ser Water Resour Environ Eng
Cole JE, Cook ER (1998) The changing relationship between ENSO variability and moisture balance in the continental United States. Geophys Res Lett 25:4529–4532. https://doi.org/10.1029/1998GL900145
Coulibaly P, Baldwin CK (2005) Nonstationary hydrological time series forecasting using nonlinear dynamic methods. J Hydrol 307:164–174
Dai A (2011) Drought under global warming: a review. Wiley Interdiscip Rev Clim Chang 2:45–65. https://doi.org/10.1002/wcc.81
De U, Dube R, Rao GP (2005) Extreme weather events over India in the last 100 years. J Ind Geophys Union 9:173–187
Deshingkar P, Start D (2003) Seasonal migration for livelihoods in India: coping, accumulation and exclusion. Overseas Development Institute London
DeVore RA, Lorentz GG (1993) Constructive approximation. Springer
Dracup JA, Lee KS, Paulson EG Jr (1980). On the definition of droughts. Water Resour Res 16:297–302. https://doi.org/10.1029/WR016i002p00297
Dubrovsky M, Svoboda MD, Trnka M, Hayes MJ, Wilhite DA, Zalud Z, Hlavinka P (2009) Application of relative drought indices in assessing climate-change impacts on drought conditions in Czechia. Theor Appl Climatol 96:155–171. https://doi.org/10.1007/s00704-008-0020-x
Evin G, Merleau J, Perreault L (2011) Two-component mixtures of normal, gamma, and Gumbel distributions for hydrological applications (W08525). Water Resour Res 47. https://doi.org/10.1029/2010WR010266
Federal Emergency Management Agency (1995) National Mitigation Strategy. FEMA Wash. DC
Friedman DG (1957) The prediction of long-continuing drought in south and southwest Texas. Ocassional Pap Meteorol 1, 182
Fuller W-A (1996) Introduction to statistical time series
Gao B-C (1996) NDWI—A normalized difference water index for remote sensing of vegetation liquid water from space. Remote Sens Environ 58:257–266
Geman S, Geman D (1984) Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Trans Pattern Anal Mach Intell PAMI-6, 721–741. https://doi.org/10.1109/TPAMI.1984.4767596
Goswami BN, Venugopal V, Sengupta D, Madhusoodanan MS, Xavier PK (2006) Increasing trend of extreme rain events over India in a warming environment. Science 314:1442–1445. https://doi.org/10.1126/science.1132027
Green PJ (1995) Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82:711–732. https://doi.org/10.1093/biomet/82.4.711
Guttman NB (1999) Accepting the standardized precipitation index: a calculation algorithm. JAWRA J Am Water Resour Assoc 35:311–322. https://doi.org/10.1111/j.1752-1688.1999.tb03592.x
Hamed KH, Ramachandra Rao A (1998) A modified Mann-Kendall trend test for autocorrelated data. J Hydrol 204:182–196. https://doi.org/10.1016/S0022-1694(97)00125-X
Han P, Wang PX, Zhang SY, Zhu DH (2010) Drought forecasting based on the remote sensing data using ARIMA models. Math Comput Model Agric 51:1398–1403. https://doi.org/10.1016/j.mcm.2009.10.031
Hayes M, Svoboda M, Wall N, Widhalm M (2011) The Lincoln declaration on drought indices: universal meteorological drought index recommended. Bull Am Meteorol Soc 92:485–488
Hayes MJ, Wilhelmi OV, Knutson CL (2004) Reducing drought risk: bridging theory and practice. Nat Hazards Rev 5:106–113
Heim RR (2002) A review of twentieth-century drought indices used in the United States. Bull Am Meteorol Soc 83:1149
Hogg R, Tanis E, Zimmerman D (2014) Probability and statistical inference. Pearson Higher Ed
Houghton JT, Ding Y, Griggs DJ, Noguer N, van der Linden PJ, Xiaosu D, Maskell K, Johnson CA (eds) (2001) Climate change 2001: the scientific basis. Cambridge University Press
Kao SC, Govindaraju RS (2010) A copula-based joint deficit index for droughts. J Hydrol 380(1–2):121–134. https://doi.org/10.1016/j.jhydrol.2009.10.029
Kripalani RH, Kumar P (2004) Northeast monsoon rainfall variability over south peninsular India vis-à-vis the Indian Ocean dipole mode. Int J Climatol 24:1267–1282. https://doi.org/10.1002/joc.1071
Krishnamurthy V, Shukla J (2000) Intraseasonal and interannual variability of rainfall over India. J Clim 13:4366–4377. https://doi.org/10.1175/1520-0442(2000)013%3c0001:IAIVOR%3e2.0.CO;2
Kulkarni A, von Storch H (1995) Monte Carlo experiments on the effect of serial correlation on the Mann-Kendall test of trend. Meteorol Z 4:82–85
Kumar KK, Rajagopalan B, Hoerling M, Bates G, Cane M (2006) Unraveling the mystery of Indian monsoon failure during El Niño. Science 314:115–119
Liu W, Kogan F (1996) Monitoring regional drought using the vegetation condition index. Int J Remote Sens 17:2761–2782
Liu WT, Juárez RIN (2001) ENSO drought onset prediction in northeast Brazil using NDVI. Int J Remote Sens 22:3483–3501. https://doi.org/10.1080/01431160010006430
Lloyd-Huges B, Saunders MA (2002) A drought climatology for Europe. Int J Climatol 22:1571–1592
Loukas A, Vasiliades L (2004) Probabilistic analysis of drought spatiotemporal characteristics in Thessaly region, Greece. Nat Hazards Earth Syst Sci 4:719–731
Mahajan DR, Dodamani BM (2015) Trend analysis of drought events over upper krishna basin in Maharashtra. Aquat Procedia 4:1250–1257. https://doi.org/10.1016/j.aqpro.2015.02.163
Mallya G, Mishra V, Niyogi D, Tripathi S, Govindaraju RS (2016) Trends and variability of droughts over the Indian monsoon region. Weather Clim Extrem. https://doi.org/10.1016/j.wace.2016.01.002
Mallya G, Tripathi S, Govindaraju RS (2017) Detection of temporal changes in droughts over Indiana (under review)
Mallya G, Tripathi S, Govindaraju RS (2015) Probabilistic drought classification using gamma mixture models. J Hydrol 526:116–126
Mallya G, Tripathi S, Kirshner S, Govindaraju RS (2013) Probabilistic assessment of drought characteristics using hidden Markov model. J Hydrol Eng 18:834–845. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000699
Mann ME, Bradley RS, Huges MK (1999) Northern hemisphere temperatures during the past millennium: inferences, uncertainties, and limitations. Geophys Res Lett 26:759
McKee TB, Doesken NJ, Kleist J (1995) Drought monitoring with multiple time scales. In: Proceedings of the 9th conference on applied climatology. American meteorological society dallas, Boston, MA, pp 233–236
McKee TB, Doesken NJ, Kleist J (1993) The relationship of drought frequency and duration to time scales. In: Conference on applied climatology. American Meteorological Society, Anaheim, CA
Mishra AK, Desai VR (2006) Drought forecasting using feed-forward recursive neural network. Ecol Model 198:127–138. https://doi.org/10.1016/j.ecolmodel.2006.04.017
Mishra AK, Desai VR, Singh VP (2007) Drought forecasting using a hybrid stochastic and neural network model. J Hydrol Eng 12:626–638. https://doi.org/10.1061/(ASCE)1084-0699(2007)12:6(626)
Mishra AK, Singh VP (2011) Drought modeling–a review. J Hydrol 403:157–175
Mishra AK, Singh VP (2010) A review of drought concepts. J Hydrol 391:202–216. https://doi.org/10.1016/j.jhydrol.2010.07.012
Mitra S, Srivastava P (2016) Spatiotemporal variability of meteorological droughts in southeastern USA. Nat Hazards, 1–32. https://doi.org/10.1007/s11069-016-2728-8
Naresh Kumar M, Murthy CS, Sesha Sai MVR, Roy PS (2011) Spatiotemporal analysis of meteorological drought variability in the Indian region using standardized precipitation index. Meteorol Appl https://doi.org/10.1002/met.277
Niranjan Kumar K, Rajeevan M, Pai DS, Srivastava AK, Preethi B (2013) On the observed variability of monsoon droughts over India. Weather Clim Extrem 1:42–50. https://doi.org/10.1016/j.wace.2013.07.006
Niyogi D, Kishtawal C, Tripathi S, Govindaraju RS (2010) Observational evidence that agricultural intensification and land use change may be reducing the Indian summer monsoon rainfall. Water Resour Res 46, 17. https://doi.org/10.1029/2008WR007082
Palmer WC (1968) Keeping track of crop moisture conditions, nationwide: the new crop moisture index. Weatherwise 21:156–161. https://doi.org/10.1080/00431672.1968.9932814
Palmer WC (1965) Meteorological drought, Research Paper No. 45. US Weather Bureau, Washington DC
Parathasarathy B, Munot A, Kothawale D (1994) Droughts over homogeneous regions of India: 1871–1990. Drought Network News 1994–2001 67
Rajeevan M (2006) High resolution daily gridded rainfall data for the Indian region: analysis of break and active monsoon spells. Curr Sci 91:296
Rao G (2001) Household coping/survival strategies in drought-prone regions: a case study of Anantapur district. Andhra Pradesh India SPWD-Hyderabad Cent
Rayner NA, Parker DE, Horton EB, Folland CK, Alexander LV, Rowell DP, Kent EC, Kaplan A (2003) Global analyses of sea surface temperature, sea ice, and night marine air temperature since the late nineteenth century. J Geophys Res 108:29. https://doi.org/10.1029/2002JD002670
Richardson S, Green PJ (1997) On Bayesian analysis of mixtures with an unknown number of components (with discussion). J R Stat Soc Ser B Stat Methodol 59:731–792. https://doi.org/10.1111/1467-9868.00095
Rossi G, Cancelliere A (2003) At-site and regional drought identification by Redim model. In: Rossi G, Cancelliere A, Pereira LS, Oweis T, Shatanawi M, Zairi A (eds) Tools for drought mitigation in mediterranean regions, water science and technology library. Springer, Netherlands, pp 37–54
Russo S, Dosio A, Sterl A, Barbosa P, Vogt J (2013) Projection of occurrence of extreme dry-wet years and seasons in Europe with stationary and nonstationary standardized precipitation Indices. J Geophys Res Atmos 118:7628–7639. https://doi.org/10.1002/jgrd.50571
Ryu JH, Svoboda MD, Lenters JD, Tadesse T, Knutson CL (2010) Potential extents for ENSO-driven hydrologic drought forecasts in the United States. Clim Change 101:575–597. https://doi.org/10.1007/s10584-009-9705-0
Schwarz G (1978) Estimating the dimension of a model. Ann Stat 6:461–464
Shafer BA, Dezman LE (1982) Development of a Surface Water Supply Index (SWSI) to assess the severity of drought conditions in snowpack runoff areas
Shiau J-T, Feng S, Nadarajah S (2007) Assessment of hydrological droughts for the Yellow River, China, using copulas. Hydrol Process 21:2157–2163. https://doi.org/10.1002/hyp.6400
Shukla S, Wood AW (2008) Use of a standardized runoff index for characterizing hydrologic drought. Geophys Res Lett 35:7. https://doi.org/10.1029/2007GL032487
Solomon S, Qin D, Manning M, Marquis M, Averyt K, Tignor M, Miller HL Jr, Chen Z (2007) Climate change 2007: the physical science basis
Sprague LA (2005) Drought effects on water quality in the south platte river basin, Colorado1. JAWRA J Am Water Resour Assoc 41:11–24. https://doi.org/10.1111/j.1752-1688.2005.tb03713.x
Steinemann A (2003) Drought indicators and triggers: a stochastic approach to evaluation. Wiley Online Library
Türkeş M, Tatlı H (2009) Use of the standardized precipitation index (SPI) and a modified SPI for shaping the drought probabilities over Turkey. Int J Climatol 29:2270–2282. https://doi.org/10.1002/joc.1862
Varikoden H, Revadekar JV, Choudhary Y, Preethi B (2015) Droughts of Indian summer monsoon associated with El Niño and Non-El Niño years. Int J Climatol 35:1916–1925. https://doi.org/10.1002/joc.4097
Ventura V, Paciorek CJ, Risbey JS (2004) Controlling the proportion of falsely rejected hypotheses when conducting multiple tests with climatological data. J Clim 17:4343–4356. https://doi.org/10.1175/3199.1
Verdon-Kidd DC, Kiem AS (2010) Quantifying drought risk in a nonstationary climate. J Hydrometeorol 11:1019–1031. https://doi.org/10.1175/2010JHM1215.1
Wilhite DA, Glantz MH (1985) Understanding: the drought phenomenon: the role of definitions. Water Int 10:111–120. https://doi.org/10.1080/02508068508686328
Wiper M, Insua DR, Ruggeri F (2001) Mixtures of gamma distributions with applications. J Comput Graph Stat 10:440–454. https://doi.org/10.1198/106186001317115054
WMO (1975) “Drought and agriculture,” WMO Technical Note No. 138, Report of the CAgM Working Group on the Assessment of Drought, Geneva, Switzerland 127
Wu Z, Huang NE, Long SR, Peng C-K (2007) On the trend, detrending, and variability of nonlinear and nonstationary time series. Proc Natl Acad Sci 104:14889–14894
Yue S, Wang CY (2002) Applicability of prewhitening to eliminate the influence of serial correlation on the Mann-Kendall test. Water Resour Res 38:1068. https://doi.org/10.1029/2001WR000861
Zhang X, Obringer R, Wei C, Chen N, Niyogi D (2017) Droughts in India from 1981 to 2013 and implications to wheat production. Sci Rep 7:44552. https://doi.org/10.1038/srep44552
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Mallya, G., Tripathi, S., Govindaraju, R.S. (2019). An Analysis of Spatio-Temporal Changes in Drought Characteristics over India. In: Singh, S., Dhanya, C. (eds) Hydrology in a Changing World. Springer Water. Springer, Cham. https://doi.org/10.1007/978-3-030-02197-9_2
Download citation
DOI: https://doi.org/10.1007/978-3-030-02197-9_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02196-2
Online ISBN: 978-3-030-02197-9
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)