Extreme Rainfall Frequency Analysis for Meteorological Sub-Division 4 of India Using L-Moments
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32797
Extreme Rainfall Frequency Analysis for Meteorological Sub-Division 4 of India Using L-Moments

Authors: Th. Arti Devi, Parthasarthi Choudhury

Abstract:

Extreme rainfall frequency analysis for Meteorological Sub-Division 4 of India was analyzed using L-moments approach. Serial Correlation and Mann Kendall tests were conducted for checking serially independent and stationarity of the observations. The discordancy measure for the sites was conducted to detect the discordant sites. The regional homogeneity was tested by comparing with 500 generated homogeneous regions using a 4 parameter Kappa distribution. The best fit distribution was selected based on ZDIST statistics and L-moments ratio diagram from the five extreme value distributions GPD, GLO, GEV, P3 and LP3. The LN3 distribution was selected and regional rainfall frequency relationship was established using index-rainfall procedure. A regional mean rainfall relationship was developed using multiple linear regression with latitude and longitude of the sites as variables.

Keywords: L-moments, ZDIST statistics, Serial correlation, Mann Kendall test.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1336128

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2411

References:


[1] J. Arthur Greenwood, J. Maciunas Landwechr, N.C. Matalas and J.R. Wallis "Probability Weighted Moments: Definition and relation to parameters of several distributions expressible in inverse form” Water Resources Research Volume 15, Issue 5, pages 1049-1054, October 1979.
[2] J.R.M. Hosking "L-moments: Analysis and Estimation of Distribution using Linear Combination of order statistics” Journal of the Royal Statistical Society, Series B (1990) 52, pp 105-124.
[3] J.R.M. Hosking and Wallis "Some statistics useful in regional frequency analysis” Water Resources Research, 29, 271-281(1993). Correction: Water Resouces Research 31 (1995), 251.
[4] Darlymple T. "Flood Frequency Analysis USGS WSP 1543-A 1960. (index flood methodology).
[5] Alan Basist and Gerald D. Bell "Statistical Relationship between Topography and Precipitation Patterns” Journal of Climate, Vol.7, September 1994.
[6] Cosmo S. Ngongondo, Chong-Yu Xu, Lena M. Tallaksen, Berhanu Alemaw and Tobias Chirawa "Regional Extreme Frequency Analysis of Rainfall extremes in Southern Malawi using index rainfall & L- moments approaches”, Stoch Environ Res Risk, Asses DOI 10. 1007/ s 00477-011-0. B
[7] J.R.M. Hosking and J.R.Wallis " Regional Frequency Analysis An approach Based on L-moments” Cambridge University Press (1997, 2005)
[8] Kadri Yurekli "Regional Frequency Analysis of Maximum Daily Rainfalls based on L – Moment Approach”, Gaziomanpasa University, Faculty of Agriculture, Department of Farm Structure and Irrigation, 60250 Tokat, GOU. Ziraat Falkultesi Dergisi, 2005, 22 (1), 37- 44.
[9] Kysely J, Picek J and Huth R. "Formation of Homogeneous Regions for Regional Frequency Analysis of Extreme Percipitation events in the Czech republic” Stud. Geophys. Geod. 51 (2007), 327- 344 © 2007 StudiaGeo s.r.o. Prague.
[10] Parida B.P, Moalafhi D.B., "Regional rainfall frequency analysis for Botswana using L-moments and radial basis function network” Physics and Chemistry of the Earth, v.33, iss. 8-13, p.614-620, DOI 10.1016/j.pce.2008.06.011
[11] S. Naoum, I.K. Tsanis " Estimation of Rainfall at Ungauged Locations using Topographical and Geographical features by means of Multiple Linear Regression” (2003) 8th International Conference on Environmental Science and Technology, Lemonos Island, Greece, 8-10 September 2003.
[12] Sveinsson Oli G.B, Salas Jose D, and Boes Duance C. "Regional Frequency Analysis of Extreme Precipitation in Northeatern Colorado and Fort Collins Flood of 1997” Journal of Hydrologic Engineering Vol.7, No.1, January 1, 2002 © ASCE, ISSN 1084-0699/2002/1-49-63, DOI: 10.1061/(ASCE) 1084-0699(2002) 7: (49)
[13] Tao Yang ; Quanxi Shao ; Zhen-Chun hao ; Xi Chen ; Zengxin Zhang ; Chong-Yu Xu ; Limin Sun " Regional frequency analysis and spatio-temporal pattern characterization of rainfall extremes in the Pearl River Basin, China” Journal of Hydrology 380 (2010) 386-405.
[14] Chatfield C. "The Analysis of Time series” An Introdution, sixth edition, Chapman and Hall/ CRC, New York 333p. (2004).
[15] Kroll, C. K., and Vogel, R. M. 2002. "Probability distribution of low streamflow series in the United States.” J. Hydrol. Eng., 72 137–146.
[16] Kumar, R., Chatterjee, C., Kumar, S., Lohani, A. K., and Singh, R. D.2003. "Development of regional flood frequency relationships using L-moments for Middle Ganga Plains subzone 1f of India.” Water Resour. Manage., 17, 243–257.