Evaluation of the adequacy of statistical distribution functions for deriving unit hydrograph

Water Resources Management

Volumn 23, Issue 5, 2009, Pages 899-929

  Rai, Rai K ^a   Sarkar, Shibayan ^b   Singh, V P ^c  

^a Alaknanda Centre for Basin Management (Water and Environment)   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^c Texas A and M University   (United States)

Author keywords

Genetic algorithm; Statistical distribution function; Unit hydrograph

Indexed keywords

GENETIC ALGORITHMS; GRANULAR MATERIALS; LANDFORMS; PHOTOTRANSISTORS; PROBABILITY DENSITY FUNCTION; WATERSHEDS; WEIBULL DISTRIBUTION;

DRAINAGE AREAS; FLOOD HYDROGRAPHS; GAMMA DISTRIBUTION FUNCTIONS; LOG NORMALS; PARAMETER DISTRIBUTIONS; PROBABILITY DISTRIBUTION FUNCTIONS; REAL CODED GENETIC ALGORITHMS; STATISTICAL DISTRIBUTION FUNCTION; TWO PARAMETERS; UNIT HYDROGRAPH; WEIBULL;

DISTRIBUTION FUNCTIONS;

GENETIC ALGORITHM; OPTIMIZATION; PROBABILITY DENSITY FUNCTION; STATISTICAL DISTRIBUTION; UNIT HYDROGRAPH;

EID: 60749112391     PISSN: 09204741     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11269-008-9306-0     Document Type: Article

References (26)

1. Bhunya PK, Mishra SK, Berndtsson R (2003) Simplified two-parameter gamma distribution for derivation of synthetic unit hydrograph. J Hydrol Eng ASCE 8(4):226-230
2. Bhunya PK, Mishra SK, Ojha CSP, Berndtsson R (2004) Parameter estimation of beta distribution for unit hydrograph derivation. J Hydrol Eng ASCE 9(4):325-332
3. Bhunya PK, Mishra SK, Berndtsson R (2005) Closure to "simplified two-parameter gamma distribution for derivation of synthetic unit hydrograph". In: Bhunya PK, Mishra SK, Berndtsson R (eds). J Hydrol Eng ASCE 10(6):226-230
4. Chow VT, Maidment DR, Mays LW (1988) Applied hydrology. McGraw-Hill, New York
5. Collins WT (1939) Runoff distribution graphs from precipitation occurring in more than one time unit. Civ Eng (NY) 9(8):559-561
6. Croley TE (1980) Gamma synthetic hydrographs. J Hydrol 47:41-52
7. Dooge JC (1959) A general theory of the unit hydrograph. J Geophys Res 64(2):241-256
8. Dooge JC (1973) Linear theory of hydrologic systems. Technical Bulletin No. 1468. US Department of Agriculture, Agricultural Research Service, Washington, DC
9. Gaur ML, Mathur BS (2003) Modeling event-based temporal variability of flow resistance coefficient. J Hydrol Eng ASCE 8(4):266-277
10. Goldberg DE (1989) Genetic algorithms in search, optimization, and learning. Addison-Wesley, Reading, Massachusetts
11. Gray DM (1961) Synthetic hydrographs for small drainage areas. J Hydraul Div ASCE 87(4):33-54
12. Haktanir T, Sezen N (1990) Suitability of two-parameter gamma and three-parameter beta distribution as synthetic hydrographs in Anatolia. Hydrol Sci J 35(2):167-184
13. Jain A, Srinivasalu S, Bhattacharjya RK (2005) Determination of an optimal unit pulse response function using real-coded genetic algorithm. J Hydrol 303:199-214
14. Kuo S-F, Merkley GP, Liu C-W (2000) Decision support for irrigation project planning using a genetic algorithm. Agril Water Manag 45:243-266
15. Lohani AK, Singh RD, Nema RK (2001) Comparison of geomorphological based rainfall-runoff models. CS(AR) Technical Rep., National Inst. of Hydrology, Roorkee
16. Mohan S (1997) Parameter estimation of nonlinear Muskingum models using genetic algorithm. J Hydraul Eng ASCE 123(2):137-142
17. Nadarajah S (2007) Probability models for unit hydrograph derivation. J Hydrol 344:185-189
18. Nash JE (1957) The forms of the instantaneous unit hydrograph. Int Assoc of Sci and Hydraul Div Proc ASCE 104(HY2):262-276
19. Nash JE, Sutcliff JV (1970) River flow forecasting through conceptual models. Part-3 a discussion of the principle. J Hydrol 10:282-290
20. Rabuñal JR, Puertas J, Suárez J, Rivero D (2007) Determination of the unit hydrograph of a typical urban basin using genetic programming and artificial neural networks. Hydrol Process 21:476-485
21. Rai RK, Jain MK, Mishra SK, Ojha CSP, Singh VP (2007) Another look at Z-transform technique foe deriving unit impulse response function. Water Resour Manage. doi: 10.1007/s11269-006-9132-1
22. Sherman LK (1932) Stream flow from rainfall by the unit-graph method. Eng News Rec 108:501-505
23. Singh SK (2000) Transmuting synthetic unit hydrographs into gamma distribution. J Hydrol Eng ASCE 5(4):380-385
24. Singh VP (1988) Hydrologic systems, vol 1. Prentice-Hall, Englewood Cliffs
25. Wardlaw R, Sharif M (1999) Evaluation of genetic algorithms for optimal reservoir system operation. J Water Resour Plan Manage ASCE 125(1):25-33
26. Yue S, Taha BMJ, Bobee B, Legendre P, Bruneau P (2002) Approach for describing statistical properties of flood hydrograph. J Hydrol Eng ASCE 7(2):147-153