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Original Articles

Three unit hydrographs based on the beta distribution function: a novel approach

Une approche novatrice concernant trois hydrogrammes unitaires basés sur la fonction de distribution bêta

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Pages 65-76 | Received 24 Jun 2011, Accepted 02 May 2012, Published online: 13 Dec 2012

REFERENCES

  • Agirre , U. 2005 . Application of a unit hydrograph based on subwatershed division and comparison with Nash's instantaneous unit hydrograph . Catena , 64 ( 2–3 ) : 321 – 332 . doi: 10.1016/j.catena.2005.08.013
  • Aron , G. and White , E.L. 1982 . Fitting a gamma distribution over a synthetic unit hydrograph . Water Resource Bulletin , 18 ( 1 ) : 95 – 98 . doi: 10.1111/j.1752-1688.1982.tb04533.x
  • ASCE (American Society of Civil Engineers) . 1997 . Flood-runoff analysis. Technical engineering and design guides as adapted from the US Army Corps of Engineers , New York , NY : ASCE Press . no. 19
  • Bhunya , P.K. 2007 . Suitability of gamma, chi-square, Weibull, and beta distributions as synthetic unit hydrographs . Journal of Hydrology , 334 ( 1–2 ) : 28 – 38 . doi: 0.1016/j.jhydrol.2006.09.022
  • Bhunya , P.K. 2008 . Comparison between Weibull and gamma distributions to derive synthetic unit hydrograph using Horton ratios . Water Resources Research , 44 ( 4 ) doi: 10.1029/2007WR006031
  • Bhunya , P.K. , Mishra , S.K. and Berndtsson , R. 2003 . Simplified two-parameter gamma distribution for derivation of synthetic unit hydrograph . Journal of Hydrologic Engineering , 8 ( 4 ) : 226 – 230 . doi: 10.1061/(ASCE)1084-0699(2003)8,4(226)
  • Ciepielowski , A. 1987 . “ Statistical methods of determining typical winter and summer hydrographs for ungauged watersheds ” . In Flood hydrology , Edited by: Singh , V.P. 117 – 124 . Dordrecht , , The Netherlands : Reidel .
  • Criss , R.E. and Winston , W.E. 2008a . Discharge predictions of a rainfall-driven theoretical hydrograph compared to common models and observed data . Water Resources Research. , 44 : W10407 doi: 10.1029/2007WR006415
  • Criss , R.E. and Winston , W.E. 2008b . Properties of a diffusive hydrograph and the interpretation of its single parameter . Mathematical Geosciences , 40 : 313 – 325 . doi: 10.1007/s11004-008-9145-9
  • Croley , T.E. II . 1980 . Gamma synthetic hydrographs . Journal of Hydrology , 47 ( 1–2 ) : 41 – 52 . doi: 10.1016/0022-1694(80)90046-3
  • Dooge , J.C.I. 1959 . A general theory of the unit hydrograph . Journal of Geophysical Research , 64 ( 2 ) : 241 – 256 .
  • Eckhardt , K. 2005 . How to construct recursive digital filters for baseflow separation . Hydrological Processes , 19 ( 2 ) : 507 – 515 . doi: 10.1002/hyp.5675
  • Gray , D.M. 1961 . Interrelationships of watershed characteristics . Journal of Geophysical Research , 66 ( 4 ) : 1215 – 1223 .
  • Haktanir , T. and Sezen , N. 1990 . Suitability of two-parameter gamma and three-parameter beta distributions as synthetic unit hydrographs in Anatolia . Hydrological Sciences Journal , 35 ( 2 ) : 167 – 184 . doi: 10.1080/02626669009492416
  • Koutsoyiannis , D. and Xanthopoulos , T. 1989 . On the parametric approach to unit hydrograph identification . Water Resources Management , 3 : 107 – 128 . doi: 10.1007/BF00872467
  • López , J.J. 2005 . Analysis of a unit hydrograph model based on watershed geomorphology represented as a cascade of reservoirs . Agricultural Water Management , 77 ( 1–3 ) : 128 – 143 . doi: 10.1016/j.agwat.2004.09.025
  • Mataix , C. 1935 . Análisis algébrico e infinitesimal. Tomo II. Cálculo integral , Madrid , , Spain : Nuevas Graficas .
  • Mockus , V. 1972 . “ Estimation of direct runoff from storm rainfall ” . In SCS National Engineering Handbook , Vol. 22 , 1 – 10 . Washington , DC : US Soil Conservation Service, 10. .
  • Montgomery , D.C. and Runger , G.C. 1994 . Applied statistics and probability for engineers , New York , NY : Wiley .
  • Nash , J.E. 1957 . The form of the instantaneous unit hydrograph . International Association of Scientific Hydrology Bulletin , 45 ( 3 ) : 114 – 121 .
  • Nash , J.E. and Sutcliffe , J.V. 1970 . River flow forecasting through conceptual models, Part I. A discussion of principles . Journal of Hydrology , 10 ( 3 ) : 282 – 290 . doi: 10.1016/0022-1694(70)90255-6
  • Powell , M.J.D. 1964 . An efficient method for finding the minimum of a function of several variables without calculating derivatives . The Computer Journal , 7 : 155 – 162 . doi: 10.1093/comjnl/7.2.155
  • Pramanik , N. , Panda , R.K. and Sen , D. 2010 . Development of design flood hydrographs using probability density functions . Hydrological Processes , 24 ( 4 ) : 415 – 428 .
  • Press , W.H. 1986 . “ Direction set (Powell's) methods in multidimensions ” . In Numerical recipes in Fortran 77, The art of scientific computing , 406 – 413 . Cambridge , , UK : Cambridge University Press .
  • Rai , R.K. , Sarkar , S. and Gundekar , H.G. 2008 . Adequacy of two-parameter beta distribution for deriving the unit hydrograph . Hydrology Research , 39 ( 3 ) : 201 – 208 . doi: 10.2166/nh.2008.038
  • Rai , R.K. , Sarkar , S. and Singh , V.P. 2009a . Evaluation of the adequacy of statistical distribution functions for deriving unit hydrograph . Water Resources Management , 23 ( 5 ) : 899 – 929 . doi: 10.1007/s11269-008-9306-0
  • Rai , R.K. 2009b . Efficacy of Nakagami-m distribution function for deriving unit hydrograph . Water Resources Management , doi: 10.1007/s11269-009-9459-5
  • Rosso , R. 1984 . Nash model relation to Horton order ratios . Water Resources Research , 20 ( 7 ) : 914 – 920 . doi: 10.1029/WR020i007p00914
  • Serinaldi , F. and Grimaldi , S. 2011 . Synthetic design hydrographs based on distribution functions with finite support . Journal of Hydrologic Engineering , 16 ( 5 ) : 434 – 446 . doi: 10.1061/(ASCE)HE.1943-5584.0000339
  • Sherman , L.K. 1932 . Streamflow from rainfall by the unit-graph method . Engineering News-Record , 108 : 501 – 505 .
  • Sokolov , A.A. , Rantz , S.E. and Roche , M. 1976 . Floodflow computation: methods compiled from world experience , 22 Paris , , France : UNESCO .
  • Yue , S. 2002 . Approach for describing statistical properties of flood hydrograph . Journal of Hydrologic Engineering , 7 ( 2 ) : 147 – 153 . doi: 10.1061/(ASCE)1084-0699(2002)7:2(147)

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