Connection between Meteorological and Groundwater Drought with Copula-Based Bivariate Frequency Analysis
Publication: Journal of Hydrologic Engineering
Volume 26, Issue 7
Abstract
Groundwater is a major resource of freshwater that provides additional resilience to agricultural drought during rainfall deficit and also helps in understanding the nature of the hydrological drought risk of an area. This study investigated the response of groundwater drought to meteorological drought and local aquifer properties by considering monthly groundwater levels of a tropical river basin in India. Further, bivariate frequency analysis was carried out for groundwater drought to develop severity–duration–frequency curves by considering the copula function. Long-term monthly groundwater levels were procured, and cluster analysis was performed on groundwater observations to classify the wells. Standardized Groundwater level Index (SGI) was used to evaluate groundwater drought for each cluster, and the same was compared with the meteorological drought of different association periods. The cluster analysis conveyed that wells can be grouped into three clusters optimally. Based on the comparison of groundwater drought with meteorological drought, it was inferred that SGI is well harmonized with the Standardized Precipitation Index (SPI) and Standardized Precipitation Evapotranspiration Index (SPEI) in humid and semiarid regions, respectively. Analysis of hydraulic diffusivity with the autocorrelation structure of SGI emphasizes the crucial role of aquifer characteristics in local groundwater droughts. The results of joint and conditional return periods obtained from bivariate frequency analysis conveyed that high severity and high-duration droughts were more frequent in the well of Clusters 1 as well as Cluster 3 and comparatively less for the well of Cluster 2. The outcome of the study will be helpful to design proactive drought mitigation and preparedness strategies by considering conjunctive use of surface and groundwater. It also provides a framework to evaluate groundwater drought risk in other parts of the world.
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Data Availability Statement
All the data sets used in this study are available from the Department of Mines and Geology Karnataka (https://www.karnataka.gov.in/dmg) and the India Meteorological Department (http://imdpune.gov.in).
Acknowledgments
The authors would like to express their gratitude to the senior geologists, Department of Mines and Geology of Belgaum, Vijayapura, and Bagalkot Districts of Karnataka State, India, for providing long-term monthly groundwater level data for the study.
References
Afshar, M. H., A. Şorman, F. Tosunoğlu, B. Bulut, M. T. Yilmaz, and A. Danandeh Mehr. 2020. “Climate change impact assessment on mild and extreme drought events using copulas over Ankara, Turkey.” Theor. Appl. Climatol. 141: 1045–1055. https://doi.org/10.1007/s00704-020-03257-6.
American Meteorological Society. 1997. “AMS policy statement on meteorological drought.” Accessed October 11, 2016. http://www.ametsoc.org/policy/drought2.html.
Amorim, R. C., and C. Hennig. 2015. “Recovering the number of clusters in data sets with noise features using feature rescaling factors.” Inf. Sci. 324 (Dec): 126–145. https://doi.org/10.1016/j.ins.2015.06.039.
Azam, M., S. J. Maeng, H. S. Kim, and A. Murtazaev. 2018. “Copula-based stochastic simulation for regional drought risk assessment in South Korea.” Water 10 (4): 359. https://doi.org/10.3390/w10040359.
Bazrafshan, O., H. Zamani, M. Shekari, and V. P. Singh. 2020. “Regional risk analysis and derivation of copula-based drought for severity-duration curve in arid and semi-arid regions” Theor. Appl. Climatol. 141: 889–905. https://doi.org/10.1007/s00704-020-03217-0.
Bhanja, S. N., A. Mukherjee, D. Saha, I. Velicogna, and J. S. Famiglietti. 2016. “Validation of GRACE based groundwater storage anomaly using in-situ groundwater level measurements in India.” J. Hydrol. 543 (Dec): 729–738. https://doi.org/10.1016/j.jhydrol.2016.10.042.
Bhuiyan C. 2004. Various drought indices for monitoring drought condition in Aravalli terrain of India. In Proc., 20th ISPRS Conf. Paris: International Society for Photogrammetry and Remote Sensing. http://www.isprs.org/istanbul2004/comm7/papers/243.pdf.
Bloomfield, J. P., and B. P. Marchant. 2013. “Analysis of groundwater drought building on the standardised precipitation index approach.” Hydrol. Earth Syst. Sci. 17 (12): 4769–4787. https://doi.org/10.5194/hess-17-4769-2013.
Bloomfield, J. P., B. P. Marchant, S. H. Bricker, and R. B. Morgan. 2015. “Regional analysis of groundwater droughts using hydrograph classification.” Hydrol. Earth Syst. Sci. 19 (10): 4327–4344. https://doi.org/10.5194/hess-19-4327-2015.
CGWB (Central Ground Water Board). 2011. “Groundwater year book—India 2010–11. Ministry of Water Resources, Govt. of India.” Accessed November 15, 2017. http://cgwb.gov.in/Ann-Reports.html.
CGWB (Central Ground Water Board). 2012. “Aquifer system of India.” Accessed November 15, 2017. http://cgwb.gov.in/AQM/.
Chen, L., V. P. Singh, S. Guo, A. K. Mishra, and J. Guo. 2013. “Drought analysis using copulas.” J. Hydrol. Eng. 18 (7): 797–808. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000697.
Evkaya, O., C. Yozgatligil, and A. S. Selcuk-Kestel. 2019. “Drought analysis using copula approach: A case study for Turkey.” Commun. Stat. Case Stud. Data Anal. Appl. 5 (3): 243–260. https://doi.org/10.1080/23737484.2019.1635923.
Fiorillo, F., and F. M. Guadagno. 2012. “Long Karst spring discharge time series and droughts occurrence in Southern Italy.” Environ. Earth Sci. 65 (8): 2273–2283. https://doi.org/10.1007/s12665-011-1495-9.
Fishman, R. M., T. Siegfried, P. Raj, V. Modi, and U. Lall. 2011. “Over-extraction from shallow bedrock versus deep alluvial aquifers: Reliability versus sustainability considerations for India’s groundwater irrigation.” Water Resour. Res. 47 (6): 1–15. https://doi.org/10.1029/2011WR010617.
Ganapuram, S., R. Nagarajan, and G. C. Sekhar. 2015. “Identification of groundwater drought prone zones in Pedda Vagu and Ookachetti Vagu watersheds, tributaries of the Krishna River, India.” Geocarto Int. 31 (4): 385–407. https://doi.org/10.1080/10106049.2015.1047472.
Ganguli, P., and M. J. Reddy. 2014. “Evaluation of trends and multivariate frequency analysis of droughts in three meteorological subdivisions of western India.” Int. J. Climatol. 34 (3): 911–928. https://doi.org/10.1002/joc.3742.
Ghafori, V., H. Sedghi, R. A. Sharifan, and S. M. J. Nazemosadat. 2020. “Regional frequency analysis of droughts using copula functions (Case study: Part of semiarid climate of Fars Province, Iran).” Iran J. Sci. Technol. Trans. Civ. Eng. 44: 1223–1235. https://doi.org/10.1007/s40996-019-00297-5.
Ghosh, S., and K. Srinivasan. 2016. “Analysis of spatio-temporal characteristics and regional frequency of droughts in the southern peninsula of India” Water Resour. Manage. 30 (11): 3879–3898. https://doi.org/10.1007/s11269-016-1396-5.
Goodarzi, M., J. Abedi-Koupai, M. Heidarpour, and H. R. Safavi. 2016. “Development of a new drought index for groundwater and its application in sustainable groundwater extraction.” J. Water Resour. Plann. Manage. 142 (9): 04016032. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000673.
Gupta, V., M. K. Jain, and V. P. Singh. 2020. “Multivariate modeling of projected drought frequency and hazard over India.” J. Hydrol. Eng. 25 (4): 04020003. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001893.
Hangshing, L., and P. P. Dabral. 2018. “Multivariate frequency analysis of meteorological drought using copula.” Water Resour. Manage. 32 (5): 1741–1758. https://doi.org/10.1007/s11269-018-1901-0.
Hartigan, J., and M. Wong. 1979. “Algorithm AS 136: A -means clustering algorithm.” Appl. Stat. 28 (1): 100–108. https://doi.org/10.2307/2346830.
Hisdal, H., and L. M. Tallaksen. 2000. “Drought event definition.” Assess. Reg. Impact Droughts Eur. 41: 41.
Hughes, J. D., K. C. Petrone, and R. P. Silberstein. 2012. “Drought, groundwater storage and stream flow decline in south western Australia.” Geophys. Res. Lett. 39 (3): L03408. https://doi.org/10.1029/2011GL050797.
Kaufman, L., and P. J. Rousseeuw. 1990. Finding groups in data: An introduction to cluster analysis. New York: Wiley.
KSAPCC (Karnataka State Action Plan on Climate Change). 2011. “Karnataka climate change action plan. Bangalore climate change initiative—Karnataka (BCCI-K).” Accessed November 18, 2017. http://www.lse.ac.uk/asiaResearchCentre/_files/KarnatakaCCactionPlanFinal.pdf.
Kumar, R., J. L. Musuuza, A. F. Van Loon, A. J. Teuling, R. Barthel, J. Ten Broek, J. Mai, L. Samaniego, and S. Attinger. 2016. “Multiscale evaluation of the standardized precipitation index as a groundwater drought indicator.” Hydrol. Earth Syst. Sci. 20 (3): 1117–1131. https://doi.org/10.5194/hess-20-1117-2016.
Li, B., and M. Rodell. 2015. “Evaluation of a model-based groundwater drought indicator in the conterminous US.” J. Hydrol. 526 (Jul): 78–88. https://doi.org/10.1016/j.jhydrol.2014.09.027.
Lloyd-Hughes, B., and M. A. Saunders. 2002. “A drought climatology for Europe.” Int. J. Climatol. 22 (13): 1571–1592. https://doi.org/10.1002/joc.846.
Madadgar, S., and H. Moradkhani. 2011. “ Drought analysis under climate change using copula.” J. Hydrol. Eng. 18 (7): 746–759. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000532.
Madadgar, S., and H. Moradkhani. 2013. “A Bayesian framework for probabilistic seasonal drought forecasting.” J. Hydrometeorol. 14 (6): 1685–1705. https://doi.org/10.1175/JHM-D-13-010.1.
Maity, R. 2018. Statistical methods in hydrology and hydroclimatology, 444. Singapore: Springer. https://doi.org/10.1007/978-981-10-8779-0.
Maity, R., M. Ramadas, and R. S. Govindaraju. 2013. “Identification of hydrologic drought triggers from hydroclimatic predictor variables.” Water Resour. Res. 49 (7): 4476–4492. https://doi.org/10.1002/wrcr.20346.
Mendicino, G., A. Senatore, and P. Versace. 2008. “A groundwater resource index (GRI) for drought monitoring and forecasting in a Mediterranean climate.” J. Hydrol. 357 (3–4): 282–302. https://doi.org/10.1016/j.jhydrol.2008.05.005.
Mesbahzadeh, T., M. Mirakbari, M. Mohseni Saravi, F. Soleimani Sardoo, and M. M. Miglietta. 2020. “Meteorological drought analysis using copula theory and drought indicators under climate change scenarios (RCP).” Meteorol. Appl. 27 (1): e1856. https://doi.org/10.1002/met.1856.
Mirabbasi, R., A. Fakheri-Fard, and Y. Dinpashoh. 2012. “Bivariate drought frequency analysis using the copula method.” Theor. Appl. Climatol. 108 (1): 191–206. https://doi.org/10.1007/s00704-011-0524-7.
Mirzavand, M., and R. Ghazavi. 2015. “A stochastic modeling technique for groundwater level forecasting in an arid environment using time series methods.” Water Resour. Manage. 29 (4): 1315–1328. https://doi.org/10.1007/s11269-014-0875-9.
Mishra, A. K., and V. P. Singh. 2010. “A review of drought concepts.” J. Hydrol. 391 (1–2): 202–216. https://doi.org/10.1016/j.jhydrol.2010.07.012.
Mishra, S. S., and R. Nagarajan. 2013. “Hydrological drought assessment in Tel river basin using standardized water level index (SWI) and GIS based interpolation techniques.” Int. J. Conceptions Civ. Eng. 1 (1): 2–5. https://doi.org/10.1080/19475705.2010.533703.
Motlagh, M. S., and H. Ghasemieh. 2016. “Identification and analysis of drought propagation of groundwater during past and future periods.” Water Resour. Manage. 31 (1): 109–125. https://doi.org/10.1007/s11269-016-1513-5.
Mussá, F. E. F., Y. Zhou, S. Maskey, I. Masih, and S. Uhlenbrook. 2015. “Groundwater as an emergency source for drought mitigation in the Crocodile River catchment, South Africa.” Hydrol. Earth Syst. Sci. 19 (2): 1093–1106. https://doi.org/10.5194/hess-19-1093-2015.
Mustafa, S. M. T., K. Abdollahi, B. Verbeiren, and M. Huysmans. 2017. “Identification of the influencing factors on groundwater drought and depletion in north-western Bangladesh.” Hydrogeol. J. 25 (5): 1357–1375. https://doi.org/10.1007/s10040-017-1547-7.
Pathak, A. A., and B. M. Dodamani. 2019. “Comparison of meteorological drought indices for different climatic regions of an Indian river basin.” Asia-Pac. J. Atmos. Sci. 56 (4): 563–576. https://doi.org/10.1007/s13143-019-00162-5.
Peters, E., G. Bier, H. A. J. van Lanen, and P. J. J. F. Torfs. 2006. “Propagation and spatial distribution of drought in a groundwater catchment.” J. Hydrol. 321 (1–4): 257–275. https://doi.org/10.1016/j.jhydrol.2005.08.004.
Peters, E., H. A. J. van Lanen, P. J. J. F. Torfs, and G. Bier. 2004. “Drought in groundwater-drought distribution and performance indicators.” J. Hydrol. 306 (1–4): 302–317. https://doi.org/10.1016/j.jhydrol.2004.09.014.
Pontes Filho, J. D., M. M. Portela, T. Marinho de Carvalho Studart, and F. D. A. Souza Filho. 2019. “A continuous drought probability monitoring system, CDPMS, based on copulas.” Water 11 (9): 1925. https://doi.org/10.3390/w11091925.
Rad, A. M., B. Ghahraman, D. Khalili, S. Ghahremani, and S. A. Ardakani. 2017. “Integrated meteorological and hydrological drought model: A management tool for proactive water resources planning of semi-arid regions.” Adv. Water Resour. 107 (Sep): 336–353. https://doi.org/10.1016/j.advwatres.2017.07.007.
Rajsekhar, D., V. P. Singh, and A. K. Mishra. 2014. “Hydrologic drought atlas for Texas.” J. Hydrol. Eng. 20 (7): 05014023. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001074.
Ramadas, M., and R. S. Govindaraju. 2015. “Choice of hydrologic variables for probabilistic drought classification.” J. Hydrol. Eng. 142 (3): 05015013. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000981.
Rousseeuw, P. 1987. “Silhouettes: A graphical aid to the interpretation and validation of cluster analysis.” J. Comput. Appl. Math. 20 (Nov): 53–65. https://doi.org/10.1016/0377-0427(87)90125-7.
Sadri, S., and D. H. Burn. 2012. “Nonparametric methods for drought severity estimation at ungauged sites.” Water Resour. Res. 48 (12): W12505. https://doi.org/10.1029/2011WR011323.
Saghafian, B., and H. Sanginabadi. 2020. “Multivariate groundwater drought analysis using copulas.” Hydrol. Res. 51 (4): 666–685. https://doi.org/10.2166/nh.2020.131.
Shahid, S., and M. K. Hazarika. 2009. “Groundwater drought in the northwestern districts of Bangladesh.” Water Resour. Manage. 24 (10): 1989–2006. https://doi.org/10.1007/s11269-009-9534-y.
Shiau, J. T. 2006. “Fitting drought duration and severity with two-dimensional copulas.” Water Resour. Manage. 20 (5): 795–815. https://doi.org/10.1007/s11269-005-9008-9.
Shiau, J. T., and R. Modarres. 2009. “Copula-based drought severity-duration-frequency analysis in Iran.” Meteorol. Appl. 16 (4): 481–489. https://doi.org/10.1002/met.145.
Sklar, M. 1959. Fonctions de répartition à n dimensions et leurs marges. Saint-Denis, France: Université Paris.
Stagge, J. H., L. M. Tallaksen, L. Gudmundsson, A. F. Van Loon, and K. Stahl. 2015. “Candidate distributions for climatological drought indices (SPI and SPEI).” Int. J. Climatol. 35 (13): 4027–4040. https://doi.org/10.1002/joc.4267.
Tallaksen, L. M., H. Hisdal, and H. A. J. Van Lanen. 2009. “Space-time modelling of catchment scale drought characteristics.” J. Hydrol. 375 (3–4): 363–372. https://doi.org/10.1016/j.jhydrol.2009.06.032.
Tallaksen, L. M., and H. A. J. van Lanen. 2004. Hydrological drought—Processes and estimation methods for streamflow and groundwater. Amsterdam, Netherlands: Elsevier.
Thilakarathne, M., and V. Sridhar. 2017. “Characterization of future drought conditions in the Lower Mekong River Basin.” Weather Clim. Extremes 17 (Sep): 47–58. https://doi.org/10.1016/j.wace.2017.07.004.
Thomas, B. F., J. S. Famiglietti, F. W. Landerer, D. N. Wiese, N. P. Molotch, and D. F. Argus. 2017. “GRACE groundwater drought index: Evaluation of California Central Valley groundwater drought.” Remote Sens. Environ. 198 (Sep): 384–392. https://doi.org/10.1016/j.rse.2017.06.026.
Thomas, T., R. K. Jaiswal, R. Galkate, P. C. Nayak, and N. C. Ghosh. 2015. “Drought indicators-based integrated assessment of drought vulnerability: A case study of Bundelkhand droughts in central India.” Nat. Hazards 81 (3): 1627–1652. https://doi.org/10.1007/s11069-016-2149-8.
Thrasher, B., J. Xiong, W. Wang, F. Melton, A. Michaelis, and R. Nemani. 2013. “Downscaled climate projections suitable for resource management.” EOS Trans. Am. Geophys. Union 94 (37): 321–323. https://doi.org/10.1002/2013EO370002.
Tosunoglu, F., and I. Can. 2016. “Application of copulas for regional bivariate frequency analysis of meteorological droughts in Turkey.” Nat. Hazards 82 (3): 1457–1477. https://doi.org/10.1007/s11069-016-2253-9.
Tosunoglu, F., and O. Kisi. 2016. “Joint modelling of annual maximum drought severity and corresponding duration.” J. Hydrol. 543 (Dec): 406–422. https://doi.org/10.1016/j.jhydrol.2016.10.018.
Van Lanen, H. A. 2005. “On the definition of groundwater drought.” Geophys. Res. Abstr. 7: 10867. https://doi.org/10.3103/S0147688210020061.
Van Lanen, H. A. J., and E. Peters. 2000. “Definition, effects and assessment of groundwater droughts.” In Drought and drought mitigation in Europe, edited by J. V. Vogt and F. Somma, 49–61. Dordrecht, Netherlands: Kulwer.
Van Loon, A. F., K. Rohini, and V. Mishra. 2017. “Testing the use of standardised indices and GRACE satellite data to estimate the European 2015 groundwater drought in near-real time.” Hydrol. Earth Syst. Sci. 21 (4): 1947–1971. https://doi.org/10.5194/hess-21-1947-2017.
Vicente-Serrano, S. M., S. Beguería, and J. I. López-Moreno. 2010. “A multiscalar drought index sensitive to global warming: The standardized precipitation evapotranspiration index.” J. Clim. 23 (7): 1696–1718. https://doi.org/10.1175/2009JCLI2909.1.
Vicente-Serrano, S. M., G. V. D. Schrier, S. Begueria, C. Azorin-Molina, and J. I. Lopez-Moreno. 2015. “Contribution of precipitation and reference evapotranspiration to drought indices under different climates.” J. Hydrol. 526 (Jul): 42–54. https://doi.org/10.1016/j.jhydrol.2014.11.025.
Wable, P. S., M. K. Jha, and A. Shekhar. 2019. “Comparison of drought indices in a semi-arid river basin of India.” Water Resour. Manage. 33 (1): 75–102. https://doi.org/10.1007/s11269-018-2089-z.
Ward, J. H. 1963. “Hierarchical grouping to optimize an objective function.” J. Am. Stat. Assoc. 58 (301): 236–244. https://doi.org/10.1080/01621459.1963.10500845.
Wilhite, D. A., and M. H. Glantz. 1985. “Understanding the drought phenomenon: The role of definitions.” Water Int. 10 (3): 111–120. https://doi.org/10.1080/02508068508686328.
Yevjevich, V. 1967. An objective approach to definitions and investigations of continental hydrologic droughts. Fort Collins, CO: Colorado State Univ.
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Journal of Hydrologic Engineering
Volume 26 • Issue 7 • July 2021
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© 2021 American Society of Civil Engineers.
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Received: Jul 31, 2020
Accepted: Jan 21, 2021
Published online: Apr 29, 2021
Published in print: Jul 1, 2021
Discussion open until: Sep 29, 2021
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