Bivariate Flood Frequency Analysis of Upper Godavari River Flows Using Archimedean Copulas

Water Resources Management

Volumn 26, Issue 14, 2012, Pages 3995-4018

  Reddy, M Janga ^a   Ganguli, Poulomi ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Archimedean copulas; Flood flows; Frequency analysis; Multivariate probability distributions; Return period

Indexed keywords

FLOOD CONTROL; FLOW OF WATER; MAXIMUM LIKELIHOOD ESTIMATION; METHOD OF MOMENTS; MONTE CARLO METHODS; MULTIVARIANT ANALYSIS; STATISTICS; WATER RESOURCES;

ARCHIMEDEAN COPULA; FLOOD FLOW; FREQUENCY ANALYSIS; MULTIVARIATE PROBABILITY DISTRIBUTIONS; RETURN PERIODS;

FLOODS;

COMPUTER SIMULATION; FLOOD FREQUENCY; FREQUENCY ANALYSIS; GEOSTATISTICS; HYDROLOGICAL MODELING; MAXIMUM LIKELIHOOD ANALYSIS; MONTE CARLO ANALYSIS; PEAK FLOW; PERFORMANCE ASSESSMENT; PROBABILITY; RIVER FLOW; UNCERTAINTY ANALYSIS;

GODAVARI RIVER; INDIA;

EID: 84867577800     PISSN: 09204741     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11269-012-0124-z     Document Type: Article

References (46)

1. Ané T, Kharoubi C (2003) Dependence structure and risk measure. J Bus 76(3): 411-438.
2. Bárdossy A (2006) Copula-based geostatistical models for groundwater quality parameters. Water Resour Res 42: W11416. doi: 10. 1029/2005WR004754.
3. Bhuyan A, Borah M, Kumar R (2010) Regional flood frequency analysis of North-Bank of the river Brahmaputra by using LH-moments. Water Resour Manag 24: 1779-1790.
4. Bobée B, Rasmussen PF (1994) Statistical analysis of annual flood series. In: Menon J (ed) Trends in hydrology, 1. Council of Scientific Research Integration, India, pp 117-135.
5. Cherubini U, Luiciano E, Vecchiato W (2004) Copula methods in finance. Wiley, Chichester.
6. Choulakian V, El-Jabi N, Issa M (1990) On the distribution of flood volume in partial duration series analyses of flood phenomenon. Stoch Hydrol Hydraul 4(3): 217-226.
7. Chowdhary H, Escobar LA, Singh VP (2011) Identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data. Hydrol Res 42. 2(3): 193-216.
8. Clemen RT, Reilly T (1999) Correlations and copulas for decision and risk analysis. Manag Sci 45(2): 208-224.
9. Cunnane C (1987) Review of statistical models for flood frequency estimation. In: Singh VP (ed) Hydrologic frequency modeling. Reidel, Dordrecht, pp 49-95.
10. de Michele C, Salvadori G (2003) A generalized Pareto intensity-duration model of storm rainfall exploiting 2-copulas. J Geophys Res 108(D2): 4067. doi: 10. 1029/2002JD002534.
11. de Michele C, Salvadori G, Canossi M, Petaccia A, Rosso R (2005) Bivariate statistical approach to check adequacy of dam spillway. J Hydrol Engg 10(1): 50-57.
12. Escalante C (2007) Application of bivariate extreme value distribution to flood frequency analysis: a case study of Northwestern Mexico. Nat Hazards 42(1): 37-46.
13. Favre A-C, Adlouni SE, Perreault L, Thiemonge N, Bobée B (2004) Multivariate hydrological frequency analysis using copulas. Water Resour Res 40. doi: 10. 1029/2003WR002456.
14. Frees EW, Valdez EA (1998) Understanding relationships using copulas. N Am Acturial J 2(1): 1-25.
15. Genest C, Favre A-C (2007) Everything you always wanted to know about copula modeling but were afraid to ask. J Hydrol Engg 12(4): 347-368.
16. Genest C, Rivest L-P (1993) Statistical inference procedures for bivariate Archimedean copulas. J Am Stat Assoc 88(423): 1034-1043.
17. Genest C, Ghoudi K, Rivest LP (1995) A semiparametric estimation procedure of dependence parameters in multivariate families of distributions. Biometrika 82(3): 543-552.
18. 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.
19. Goel NK, Seth SM, Chandra S (1998) Multivariate modeling of flood flows. J Hydraul Engg 124(2): 146-155.
20. Grimaldi S, Serinaldi F (2006) Asymmetric copula in multivariate flood frequency analysis. Adv Water Resour 29(8): 1155-1167.
21. Janga Reddy M, Ganguli P (2012a) Application of copulas for derivation of drought severity-duration-frequency curves. Hydrol Process 26: 1672-1685. doi: 10. 1002/hyp. 8287.
22. Janga Reddy M, Ganguli P (2012b) Risk assessment of hydro-climatic variability on groundwater levels in the Manjara basin aquifer in India using Archimedean copulas. J Hydrol Engg. doi: 10. 1061/(ASCE)HE. 1943-5584. 0000564.
23. Kao SC, Govindaraju RS (2010) A copula-based joint deficit index for droughts. J Hydrol 380(1-2): 121-134.
24. Karmakar S, Simonovic SP (2009) Bivariate flood frequency analysis. Part 2: a copula-based approach with mixed marginal distributions. J Flood Risk Manag 2(1): 32-44.
25. Klein B, Pahlow M, Hundecha Y, Schumann A (2010) Probability analysis of hydrological loads for the design of flood control systems using copulas. J Hydrol Engg 15(5): 360-369.
26. Kojadinovic I, Yan J (2010) Comparison of three semiparametric methods for estimating dependence parameters in copula models. Insur Math Econ 47: 52-63.
27. Kumar R, Chatterjee C (2005) Regional flood frequency analysis using L-moments for North Brahmaputra region of India. J Hydrol Engg 10(1): 1-7.
28. Kumar R, Chatterjee C, Kumar S, Lohani AK, Singh RD (2003) Development of regional flood frequency relationships using L-moments for middle Ganga plains subzone 1(f) of India. Water Resour Manag 17: 243-257.
29. Maity R, Kumar DN (2008) Probabilistic prediction of hydroclimatic variables with nonparametric quantification of uncertainty. J Geophys Res 113: D14105. doi: 10. 1029/2008JD009856.
30. Moon Y-I, Lall U (1994) Kernel quantile function estimator for flood frequency analysis. Water Resour Res 30(11): 3095-3103.
31. Nadarajah S, Shiau J (2005) Analysis of extreme flood events for the Pachang River, Taiwan. Water Resour Manag 19: 363-374.
32. Nelsen RB (2006) An introduction to copulas. Springer, New York.
33. Parida BP, Kachroo RK, Shrestha DB (1998) Regional flood frequency analysis of Mahi-Sabarmati basin (Subzone 3-a) using index flood procedure with L-moments. Water Resour Manag 12: 1-12.
34. Rakhecha PR, Singh VP (2009) Applied hydrometeorology. Capital Publishing Company, New Delhi.
35. Rao NG (2001) Occurrences of heavy rainfall around the confluence line in monsoon disturbances and its importance in causing floods. Proc Indian Acad Sci (Earth Planet Sci) 110: 87-94.
36. Raynal JA, Salas JD (1987) A probabilistic model for flooding downstream of the junction of two rivers. In: Singh VP (ed) Hydrologic frequency modeling. Reidel, Dordrecht, pp 595-602.
37. Shiau JT, Wang HY, Tsai CT (2006) Bivariate frequency analysis of floods using copulas. J Am Water Resour Assoc 42(6): 1549-1564.
38. Sklar A (1959) Functions de repartition a n dimensions et leurs marges. Publ Inst Stat Univ Paris 8: 229-231.
39. Song S, Singh VP (2010) Meta-elliptical copulas for drought frequency analysis of periodic hydrologic data. Stoch Env Res Risk A 24(3): 425-434.
40. Wang C, Chang N-B, Yeh G-T (2009) Copula-based flood frequency (COFF) analysis at the confluences of river systems. Hydrol Process 23: 1471-1486.
41. Yue S (1999) Applying the bivariate normal distribution to flood frequency analysis. Water Int 24(3): 248-252.
42. Yue S (2000) The bivariate lognormal distribution to model a multivariate flood episode. Hydrol Process 14: 2575-2588.
43. Yue S (2001) A bivariate gamma distribution for use in multivariate flood frequency analysis. Hydrol Process 15: 1033-1045.
44. Yue S, Wang CY (2004) A comparison of two bivariate extreme value distributions. Stoch Env Res Risk A 18: 61-66.
45. Yue S, Ouarda TBMJ, Bobée B, Legendre P, Bruneau P (1999) The Gumbel mixed model for flood frequency analysis. J Hydrol 226(1-2): 88-100.
46. Zhang L, Singh VP (2006) Bivariate flood frequency analysis using copula method. J Hydrol Engg 11(2): 150-164.