Comparison the application of linear Moment Method with Custom Methods For Estimation of Peak Flood Discharge in Three Selected Stations of North Iran

Abbas Gholami¹

Section:Research Paper, Product Type: Journal-Paper
Vol.5 , Issue.11 , pp.25-32, Nov-2019

Online published on Nov 30, 2019

Copyright © Abbas Gholami . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

Abstract :
Two current method for calculating of statistical parameter about flood have been ordinary moments and maximum likelihood. Another new method for computation of this statistical parameters in the recent years,that using in the world have been linear moments that applied for assessment in different area of the world. The aim of this study was to evaluate this method in three selected stations with a length of 30 years in the watershed of Talar of Mazandaran Province, in order to evaluate the efficiency of this new method in this region and, if appropriate, to be used in flood studies in this region. The results of this study indicate that in the three selected stations in the region and with respect to the comparison of three methods of calculating statistical parameters used in peak flood discharge including Ordinary moment method, maximum likelihood method and linear moment method, in some stations linear moment method has higher accuracy from the previous custom methods that shows it is necessary to study this method for further flood studies.

Key-Words / Index Term :
Statistical Parameters, Flood, Linear Moment,Gumble Distribution,Talar Watershed

References :
[1] Beard, L. R. (1974). "Flood flow frequency techniques." Center for Research in Water Resources, Univ. of Texas at Austin, Austin, Tex
[2]Benson, M. A. (1968). "Uniform flood-frequency estimating methods for federal agencies." Water Resour. Res., 4(5), 891-908
[3] Chowdhury, J. U., Stedinger, J. R., and Lu, L. (1991). "Goodness-of-fit tests for regional GEV flood distributions." Water Resour. Res., 27(7), 1765-1776
[4] Chunnane,C. (1989), Statistical distributions for flood frequency analysis Hydro.Rep.No.33,world Meteorological Org. (WMO),Geneva,Switzerland.
[5] Faucher, D., P.S. Rasmussen and B. Bobee. . (2001). A disttribution function based on bandwidth selection method for kernel quantile estimation. Journal of Hydrology, 250(1): 1-
[6]Farquarson,F.A.K.,Green,C.S.,Meigh,J.R.,Sutcliff,J.V. (1987). Comparition of flood frequency curves for many different regions of the world. Regional flood frequency analysis,V.P.Singh,ed.,d.Reidel publishing Co.,Dordecht,Holland,223-256
[7] Gringas,D.,and Adamowski,K. (1992). Coupling of nonparametric frequency and L-moment analysis for mixed distribution identification.Water Res.Bull.,28(2),263-272.
[8] Gingras, D., K. Adamowski and P.J. Pilon. . (1994). Regional flood equations for the provinces of Ontario and Quebec. Water Resource Bulletin, 30(1): 55-67.
[9] Greenwood,J. A.,J. M. Landwehr, N. C. Matalas, andJ. R. Wallis,, 1979. Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form, Water Resour. Res., 15(5), 1049-1054
[10] "Guidelines for determining flood flow frequency." (1967). Bull. 15, Hydrology Commission, U.S. Water Resources Council, Washington, D.C.
[11] Guidelines for determining flood flow frequency." (1982). Bull. 17B, Hydrology Subcommittee, OWDC, U.S. Geological Survey, Reston, Va.
[12] Hosking, I. R. M., and Wallis, I. R. (1987). " An index-flood procedure for regional rainfall frequency analysis." EOS Trans., American Geophysical Union, 68,312.
[13] Hosking, J. R. M. (1990). "L-moments: analysis and estimation of distributions using linear combinations of order statistics.`` J. Royal Statistical Soc., Ser. B, London, England, Vol. 52, 105-124.
[14] Hosking, J. R. M.1991b.Fortran routines for use with the method of L-moments, Version 2, Res. Rep. RC-17097 (#75864), 117 pp., IBM Res. Div., T. J. Watson Res. Cent., Yorktown Heights, N. Y.
[15] Hosking, J.R., Wallis, J.R. (1993). Some statistics useful in regional frequency analysis. Water Resour. Res. 29 (2), 271–281.
[16] Jain, D., and Singh, V. P. (1987). "Estimating parameters of EVI distribution for flood frequency analysis." Water Resour. Bull., 23(1),59-71.
[17] Karim,M.A.,and chowdhury,J.U. (1993). A comparison of five distributions used in flood frequency analysis in Bangladesh.Proc.,Int.Conf.on Hydro. And Water Resour.
[18] Madsen, H., Arnbjerg-Neilsen, K., Mikkelsen, P.S., (2009) Update of regional intensity–duration–frequency curves in Denmark: tendency towards increased storm intensities. Atmos. Res. 92, 343–349.
[19] Najmei, mohammad. . (1990).hydrology engineering, iran science and technology university press,one edithion (In Persian)
[20] Nathan,R.J.,and Weinmann,P.E. (1991). Application of at-site and regional flood frequency analysis. Proc.Int.Hydro.and water Resource. Symp.,769-774.
[21] Onoz,Bayazit,M. (1995). Best fit distributions of largest available flood samples. J.Hydro.,Amsterdam,The Netherlands,Vol.167,195-208
[22] Pearson, C. P. (1991). "New Zealand regional flood frequency analysis using L-moments." J. Hydro.-New Zealand, 30(2), 53-64.
[23] Pearson,C.P.(1995).Regional Frequncy analysis of low flowss in New Zeland rivers . J.Htdro-New Zeland,33(2),94-122.
[24] Pilon,P.J.And Adamowski,k.(1992).The value of regional information to flood frequency analysis using the method of L-moments Can.J.Civ.Engrg.Ottawa,Canada,Vol.19,137-147.
[25] Project Report of Talar watershed . (2000). Iran Ministry of Jijad and Agriculture, assistant of watershed management, Bureau of Studies and Assessment of Watersheds.
[26] Rao,A.R., and Hamed,K.H.(1994). Frequency analysis of upper Cauvery flood data by L-moments. Water Resour.Mgmt.,vol8,183-201
[27] Stedinger J R. Vogel R.M, Foufoulas G E. . (1992).Frequency Analysis of Extrem Events printed in CHAPTER18.. Maidment,D.R,Handbook of Hydrology.
[28] Stedinger, J. R., R. M. Vogel, and E. Foufoula-Georgiou, 1993.Frequency analysis of extreme events, in Handbook of Applied Hydrology, chapt. 18, editor-in-chief D. A. Maidment, McGrawHill New York.
[29] Vogel, R. M. (1986). "The probability plot correlation coefficient test for the normal, lognormal, and Gumbel distributional hypotheses." Water Resour. Res. , 22(4), 587-590.
[30] Vogel, R. M., and Kroll, C. N. (1989). "Low-flow frequency analysis using probability- plot correlation coefficients." J. Water Resour. Ping. and Mgmt. , ASCE, 115(3),338-357.
[31] Vogel, R. M., and McMartin, D. E. (1991). "Probability plot goodness-of-fit and skewness estimation procedures for the Pearson type 3 distribution." Water Resour. Res. , 27(12), 3149-3158.
[32] Vogel, R. M., and Fennessey, N. M. (1993). "L-moment diagrams should replace product moment diagrams." Water Resour. Res., 29.
[33] Vogel, R. M., Thomas, W. 0., Jr., and McMahon, T. A. (1993b). "Floodflow frequency model selection in southwestern United States." J. Water Resour: Ping. and Mgmt., ASCE, 119(3), 353-366.
[34] Wallis,J.R.(1988).Catastrophes, computing and containment:living with our restless habit.Speculation in Sci.and Technol.,11(4),295-324.