Spatio-temporal analysis and derivation of copula-based intensity-area-frequency curves for droughts in western Rajasthan (India)

Stochastic Environmental Research and Risk Assessment

Volumn 27, Issue 8, 2013, Pages 1975-1989

  Reddy, M Janga ^a   Ganguli, Poulomi ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Copulas; Drought; Intensity area frequency curves; SPI; Tail dependence; Trend analysis

Indexed keywords

COPULAS; INTENSITY-AREA-FREQUENCY CURVES; SPI; TAIL DEPENDENCE; TREND ANALYSIS;

DISTRIBUTION FUNCTIONS;

DROUGHT;

DROUGHT; MULTIVARIATE ANALYSIS; PRECIPITATION (CLIMATOLOGY); REGIONAL CLIMATE; SPATIAL RESOLUTION; SPATIOTEMPORAL ANALYSIS; TREND ANALYSIS;

INDIA; RAJASTHAN;

EID: 84885018057     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-013-0732-z     Document Type: Article

References (40)

1. Andreadis KM, Clark EA, Wood AW, Hamlet AF, Lettenmaier DP (2005) Twentieth-century drought in the conterminous United States. J Hydrometeorol 6(6): 985-1001.
2. Capéraá P, Fougéres A-L, Genest C (1997) A non-parametric estimation procedure for bivariate extreme value copulas. Biometrika 84(3): 567-577.
3. Chowdhary A, Dandekar MM, Raut PS (1989) Variability in drought incidence over India-a statistical approach. Mausam 40: 207-214.
4. Drought report (2004) Drought-2002 Dept. of Agriculture and Cooperation, Ministry of Agriculture. Govt. of India, New Delhi.
5. Frahm G, Junker M, Schimdt R (2005) Estimating the tail-dependence coefficient: properties and pitfalls. Insur Math Econ 37: 80-100.
6. Ganguli P, Janga Reddy M (2012) Risk assessment of droughts in Gujarat using bivariate copula. Water Resour Manag 26(11): 301-3327.
7. Genest C, Favre A-C (2007) Everything you always wanted to know about copula modeling but were afraid to ask. J Hydrol Eng 12(4): 347-368.
8. Genest C, Rémillard B, Beaudoin D (2009) Goodness-of-fit tests for copulas: a review and a power study. Insur Math Econ 44(2): 199-213.
9. Guhathakurta P (2003) Drought in districts of India during the recent all India normal monsoon years and its probability of occurrence. Mausam 54: 542-545.
10. Hamed KH, Rao AR (1998) A modified Mann-Kendall trend test for autocorrelated data. J Hydrol 204: 182-196.
11. Hirsch RM, Slack JR, Smith RA (1982) Techniques of trend analysis for monthly water quality data. Water Resour Res 18(1): 107-121.
12. Hisdal H, Tallaksen LM (2003) Estimation of regional meteorological and hydrological drought characteristics: a case study for Denmark. J Hydrol 281(3): 230-247.
13. Janga Reddy M, Ganguli P (2012) Application of copulas for derivation of drought severity-duration-frequency curves. Hydrol Process 26(11): 1672-1685.
14. Kendall MG (1975) Rank correlation methods. Griffin, London.
15. Kim T-W, Valdés J-B (2002) Frequency and spatial characteristics of droughts in the Conchos River basin Mexico. Water Int 27(3): 420-430.
16. Kumar MN, Murthy CS, Sesha Sai MVR, Roy PS (2012) Spatiotemporal analysis of meteorological drought variability in the Indian region using standardized precipitation index. Meteorol Appl 19(2): 256-264.
17. Lee T, Modarres R, Ouarda TBMJ (2012) Data-based analysis of bivariate copula tail dependence for drought duration and severity. Hydrol Process. doi: 10./hyp. 9233.
18. Loukas A, Vasiliades L (2004) Probabilistic analysis of drought spatiotemporal characteristics in Thessaly region, Greece. Nat Hazards Earth Syst Sci 4: 719-731.
19. Mall RK, Gupta A, Singh R, Singh RS, Rathore LS (2006) Water resources and climate change: an Indian perspective. Curr Sci 90: 1610-1626.
20. Mann HB (1945) Nonparametric tests against trend. Econometrica 13: 245-259.
21. McKee TB, Doesken NJ, Kleist J (1993) The relationship of drought frequency and duration to time scales. In: Proceedings of 8th International Conference Applied Climatology, Boston, MA, pp 179-184.
22. Mir abbasi R, Fakheri-Fard A, Dinpashoh Y (2012) Bivariate drought frequency analysis using the copula method. Theor Appl Climatol 108: 191-206.
23. Mishra AK, Desai VR (2005) Spatial and temporal drought analysis in the Kansabati river basin, India. Int J River Basin Manag 3(1): 31-41.
24. NDMA Report (2010) National disaster management guidelines: management of drought. National Disaster Management Authority, Govt. of India. ISBN no 978-93-80440-08-8, New Delhi.
25. Nelsen RB (2006) An introduction to copulas. Springer, New York.
26. Nelsen RB, Quesada-Molina JJ, Rodríguez-Lallena JA, Úbeda-Flores M (2008) On the construction of copulas and quasi-copulas with given diagonal sections. Insur Math Econ 42(2): 473-483.
27. Obasi GOP (1994) WMO's role in the international decade for natural disaster reduction. Bull Am Meteorol Soc 75(9): 1655-1661.
28. Pai DS, Sridhar L, Guhathakurta P, Hatwar HR (2010) Districtwise drought climatology of the southwest monsoon season over india based on standardized precipitation index. NCC Research Report no. 2/2010, National Climate Centre, IMD, Pune.
29. Rajeevan M, Bhate J (2008) A high resolution daily gridded rainfall data set (1971-2005) for mesoscale meteorological studies. Research report no. 9/2008. National Climate Centre, IMD, Pune.
30. RACP Report (2012) Rajasthan agriculture competitiveness project: social assessment and management framework. Technical report, Dept. Agriculture, Govt. Rajasthan.
31. Sadri S, Burn DH (2012) Copula-based pooled frequency analysis of droughts in the Canadian Prairies. J Hydrol Eng. doi: 10. 1061/(ASCE)HE. 1943-5584. 0000603.
32. Santos JF, Pulido-Calvo I, Portela M (2010) Spatial and temporal variability of droughts in Portugal. Water Resour Res 46: W03503.
33. Sen PK (1968) Estimates of the regression coefficient based on Kendall's tau. J Am Stat Assoc 63(324): 1379-1389.
34. Shiau JT (2006) Fitting drought duration and severity with two-dimensional copulas. Water Resour Manag 20: 795-815.
35. Sinha Ray KC, Shewale MP (2001) Probability of occurrence of drought in various subdivisions of India. Mausam 52: 541-546.
36. Sklar A (1959) Functions de repartition a n dimensions et leurs marges. Publ Inst Stat Univ Paris 8: 229-231.
37. Song S, Singh VP (2010) Frequency analysis of droughts using the Plackett copula and parameter estimation by genetic algorithm. Stochast Environ Res Risk Assess 24(5): 783-805.
38. Svoboda M, Lecomte D, Hayes M, Heim R, Gleason K, Angel J, Rippey B, Tinker R, Palecki M, Stooksbury D, Miskus D, Stephens S (2002) The drought monitor. Bull Am Meteorol Soc 83: 1181-1190.
39. Tallaksen LM, Stahl K, Wong G (2011) Space-time characteristics of large-scale droughts in Europe derived from streamflow observations and WATCH multi-model simulations. Technical report no. 48, University of Oslo.
40. WMO Report (2006) Drought monitoring and early warning: concepts, progress and future challenges. WMO report no. 1006, World Meteorological Organization.