Runoff Estimation for an Ungauged Catchment Using Geomorphological Instantaneous Unit Hydrograph (GIUH) and Copulas

Water Resources Management

Volumn 26, Issue 6, 2012, Pages 1615-1638

  Ellouze Gargouri, Emna ^a,b   Bargaoui, Zoubeida ^a  

^a UNIVERSITY OF TUNIS EL MANAR   (Tunisia)

^b Institut Supérieur des Etudes Technologiques de Radès   (Tunisia)

Author keywords

Copulas; Geomorphological instantaneous unit hydrograph; Infiltration phi index; Ungauged catchment

Indexed keywords

COPULAS; EFFECTIVE RAINFALL; HYDROGRAPHS; INSTANTANEOUS UNIT HYDROGRAPH; MAXIMUM INTENSITIES; MONTE CARLO SIMULATION; ORDER STATISTICS; PEAK DISCHARGE; RUNOFF ESTIMATION; UNGAUGED BASINS; UNGAUGED CATCHMENT;

CATCHMENTS; MONTE CARLO METHODS; RAIN;

RUNOFF;

CATCHMENT; GEOMORPHOLOGY; INFILTRATION; MONTE CARLO ANALYSIS; PEAK DISCHARGE; RAINFALL; RUNOFF; UNIT HYDROGRAPH;

EID: 84859099826     PISSN: 09204741     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11269-012-9975-6     Document Type: Article

References (63)

1. Bárdossy A (2006) Copula-based geostatistical models for groundwater quality parameters. Water Resour Res 42: W11416. doi: 10. 1029/2005WR004754.
2. Bárdossy A, Li J (2008) Geostatistical interpolation using copulas. Water Resour Res 44: W07412. doi: 10. 1029/2007WR006115.
3. Bárdossy A, Mascellani G, Franchini M (2006) Fuzzy unit hydrograph. Water Resour Res 42: W02401. doi: 10. 1029/2004WR003751.
4. Beven KJ (2003) Rainfall-runoff modeling: the primer. Wiley, England, p 372.
5. Bhadra A, Panigrahy N, Singh R, Raghuwanshi NS, Mal BC, Tripathi MP (2008) Development of a geomorphological instantaneous unit hydrograph model for scantily gauged watersheds. Environ Model Software 23: 1013-1025.
6. Bhunya PK, Berndtsson R, Ojha CSP, Mishra SK (2007) Suitability of Gamma, Chi-square, Weibull, and Beta distributions as synthetic unit hydrographs. J Hydrol 334: 28-38.
7. Bhunya PK, Berndtsson R, Singh PK, Hubert P (2008) Comparison between Weibull and gamma distributions to derive synthetic unit hydrograph using Horton ratios. Water Resour Res 44: W04421. doi: 10. 1029/2007WR006031.
8. Chandramohan T, Venkatesh B, Jain SK (2002) Rainfall-runoff modelling based on GIUH approach in a GIS environment. J Instn Eng 83: 180-185.
9. Cudennec C (2007) DISCUSSION of "Coding random self-similar river networks and calculating geometric distances: 1. General methodology" and "2. Application to runoff simulations" on width function-based unit hydrographs deduced from separately random self-similar river networks and rainfall variability. Hydrol Sci J 52(1): 230-237.
10. Cudennec C, Fouad Y, Sumarjo GI, Duchesne J (2004) A geomorphological explanation of the unit hydrograph concept. Hydrolog Process 18(4): 603-621. doi: 10. 1002/hyp. 1368.
11. De Michele C, Salvadori G (2003) A generalized pareto intensity-duration model of storm rainfall exploiting 2-copulas. J Geophys Res 108(D2): 15-1-15-2.
12. De Michele C, Salvadori G, Canossi M, Petaccia A, Rosso R (2005) Bivariate statistical approach to spillway design flood. J Hydrol Eng ASCE 10(1): 50-57.
13. Eagleson PS (1970) Dynamics hydrology. EGU Reprint Series, 2, 2003, 37191 Katlenburg-Lindau, Germany.
14. Eagleson PS (1972) Dynamics Flood Frequency. Water Resour Res 8(4): 878-898.
15. Ellouze-Gargouri E, Kebaili-Bargaoui Z (2006) Prédétermination des débits maximaux de crue par simulation Monte-Carlo de la pluie nette. Rev Sci Eau 19(4): 327-345.
16. Favre AC, El Adlouni S, Perreault TL, Thiemonge N, Bobée B (2004) Multivariate hydrological frequency analysis using copulas. Water Resour Res 40(W01101): 1-12.
17. Fleurant C, Kartiwa B, Roland B (2006) Analytical model for a geomorphological instantaneous unit hydrograph. Hydrol Process 20(18): 3879-3895.
18. Franchini M, O'Connell PE (1996) An analysis of the dynamic component of the geomorphologic instantaneous unit hydrograph. J Hydrol 175: 407-428.
19. Gargouri-Ellouze E, Bargaoui Z (2009) Investigation with Kendall plots of infiltration index-maximum rainfall intensity relationship for regionalization. J Phys Chem Earth. doi: 10. 1016/j. pce. 2009. 02.
20. Gargouri-Ellouze E, Chebchoub A (2008) Depth-duration-frequency with copulas. Hydrol Sci J 53(4): 802-817.
21. Genest C, Favre AC (2007) Everything you always wanted to know about copula modeling but were afraid to ask. J Hydrol Engng ASCE 12: 347-368.
22. Genest C, Mackay RJ (1986) Copules archimédiennes et familles de lois bidimensionnelles dont les marges sont données. Rev Can Statis 14: 145-159.
23. Genest C, Rivest L (1993) Statistical inference procedures for bivariate Archimedean copulas. J Am Statis Assoc 88: 1034-1043.
24. Goel NK, Kurothe RS, Mathur BS, Vogel RM (2000) A derived flood frequency distribution of correlated rainfall intensity and duration. J Hydrol 228: 56-67.
25. Grimaldi S, Serinaldi F, Napolitano F, Ubertini L (2005) A 3-copula function application for design hyetograph analysis. In: Savic DA, Mariño MA, Savenije HHG, Bertoni JC (eds) Sustainable water management solutions for large cities. IAHS, Wallingford, pp 293-212.
26. Gupta VK, Mesa OJ (1988) Runoff generation and hydrologic response via channel network geomorphology-recent progress and open problems. J Hydrol 102: 3-28.
27. Gupta VK, Waymire E (1983) On the formulation of an analytical approach to hydrologic response and similarity at the basin scale. J Hydrol 65: 95-123.
28. Gupta VK, Waymire E, Wang CT (1980) A representation of an instantaneous unit hydrograph from geomorphology. Water Resour Res 16(5): 855-862.
29. Hermassi T (2000) Analyse des facteurs conditionnels de l'écoulement et de l'érosion dans de petits bassins verssants de la Dorsale tunisienne, M. S. thesis, 68 pp., Institut National Agronomique de Tunisie.
30. Horton RE (1933) The role of infiltration in hydrologic cycle. Trans Am Geophys Union 14: 446-460.
31. Hürlimann W (2004) Fitting bivariate cumulative returns with copulas. Comp Statis Data Anal 45: 355-372.
32. Jain V, Sinha R (2003) Derivation of unit hydrograph from GIUH analysis for a Himalayan river. Water Resour. Management 17(5), 355-376(22).
33. Jain SK, Singh RD, Seth SM (2000) Design flood estimation using GIS supported GIUH approach. Water Resour Manag 14(5): 369-376.
34. Jin C-X (1992) A deterministic gamma-type geomorphologic instantaneous unit hydrograph based on path types. Water Resour Res 28(2): 479-486.
35. Joe H (1997)Multivariate models and dependence concepts. In: Monographs on Statistics and applied probability. Chapman and Hall, London.
36. Karlinger MR, Troutman BM (1985) Assessment of the instantaneous unit hydrograph derived from the theory of topologically random networks. Water Resour Res 21(11): 1693-1702.
37. Kumar R, Chatterjee C, Lohani AK, Kumar S, Singh RD (2002) Sensitivity Analysis of the GIUH based Clark Model for a Catchment. Water Resour. Management 16 (4), 263-278(16).
38. Kumar R, Chatterjee C, Singh RD, Lohani AK, Kumar S (2004) GIUH based Clark and Nash models for runoff estimation for an ungauged basin and their uncertainty analysis. Intl J River Basin Manag 2(4): 281-290.
39. Kumar R, Chatterjee C, Singh RD, Lohani AK, Kumar S (2007) Runoff estimation for an ungauged catchment using geomorphological instantaneous unit hydrograph (GIUH) models. Hydrol Process 21(14): 1829-1840.
40. Kurothe RS, Goel NK, Mathur BS (1997) Derived flood frequency distribution for negatively correlated rainfall intensity and duration. Water Resour Res 33(9): 2103-2107.
41. Kurothe RS, Goel NK, Mathur BS (2001) Derivation of a curve number and kinematic-wave based flood frequency distribution. Hydrol Sci J 46(4): 571-583.
42. Moussa R (2008) Effect of channel network topology, basin segmentation and rainfall spatial distribution on the geomorphologic instantaneous unit hydrograph transfer function. Hydrol Process 22: 395-419.
43. Musy A, Higy C (2004) Hydrologie générale, une science de la nature. Presse Polytechnique Universitaire Romande, Lausanne, p 314.
44. Nadarajah S (2007) Probability models for unit hydrograph derivation. J Hydrol 344: 185-189.
45. Nash JE (1959) Systematic determination of unit hydrograph parameters. J Geophys Res 64(1): 111-115.
46. Nasri S, Cudennec C, Albergel J, Berndtsson R (2004) Use of a geomorphological transfer function to model design floods in small hillside catchments in semiarid Tunisia. J Hydrol 287: 197-213.
47. Nelsen RB (1999) An Introduction to Copulas. Springer, New York.
48. Nowicka B, Soczynska U (1989) Application of GIUH and dimensionless hydrograph models in ungauged basins. In: FRIENDS in Hydrology (ed. by L. Roald, K. Nordseth and K. A. Hassel), Proc. Bolkesjø Symp., Inter. Assoc. Hydrol Sci Pubn 187, 197-203.
49. Prokhorov AV (2002) Kendall coefficient of rank correlation. In: Michiel H (ed) Encyclopaedia of mathematics. CWI, Amsterdam.
50. Rodriguez-Iturbe I, Valdès JB (1979) The geomorphologic structure of hydrologic response. Water Resour Res 15: 1409-1420.
51. Rodriguez-Iturbe I, Gonzalez-Sanabria M, Brass RL (1982) A geomorphoclimatic theory of instantaneous unit hydrograph. Water Resour Res 18(4): 877-886.
52. Rosso R (1984) Nash model relation to Horton order ratios. Water Resour Res 20(7): 914-920.
53. Sahoo B, Chatterjee C, Raghuwanshi NS, Singh R, Kumar R (2006) Flood estimation by GIUH-Based Clark and Nash models. J Hydrol Eng 11(6): 515-525.
54. Salvadori G, De Michele C (2006) Statistical characterization of temporal structure of storms. Adv Water Resour 6: 827-842.
55. Sarangi A, Madramootoo C, Enright P, Prasher S (2007) Evaluation of three unit hydrograph models to predict the surface runoff from a Canadian watershed. Water Resour Management 21 (7) 1127-1143 (17).
56. Schweizer B, Sklar A (1983) Probabilistic metric spaces. Elsevier, Amsterdam.
57. Soil Conservation Service (SCS) (1957) Use of storm and watershed characteristics in synthetic hydrograph analysis and application. US Department of Agriculture, Soil Conservation Service, Washington.
58. Troutman BM, Karlinger MR (1985) Unit hydrograph approximations assuming linear flow through topologically random channel networks. Water Resour Res 21(5): 743-754.
59. Valdès JB, Fiallo Y, Rodriguez-Iturbe I (1979) A rainfall-runoff analysis of the geomorphologic IUH. Water Resour Res 15(6): 1409-14520.
60. van der Tak LD, Brass RL (1990) Incorcorating hillslope effects into the geomorphologic instantaneaous unit hydrograph. Water Resour Res 26(10): 2393-2400.
61. Venter G (2002) Tails of copulas. Proc Casualty Actuarial Society 89: 68-113.
62. Venter G (2003) Quantifying correlated reinsurance exposures with copulas. Casualty Actuarial Society Forum 2003: 215-229.
63. Zhang L, Singh VP (2006) Bivariate flood frequency analysis using the copula method. J Hydrol Eng 11(2): 150-164.