The design rainfall based on regional frequency analysis using tl-moment method
DOI:
https://doi.org/10.32679/jsda.v12i1.160Keywords:
Design strom, frequency analysis, Generalized logistic, TL-moment, generalized extreme valueAbstract
The designstorm wereestimated by applying the regional frequency analysis provides benefits to a datasetwith limited amount of data has many advantages. Minimum data used in calculating the amount of design stromhas a very large error for higherreturn period. Therefore, the regional frequency analysis was used based on TL-moments method. There arethree types of probability distributions used in this study, namely the Generalized Extreme Value (GEV), Generalized Pareto (GPA) and the Generalized Logistic (GLO). Two of the three typesprobability distributions are the best choice by the TL-moment ratio diagrams which are Generalized Extreme Value, and Generalized Logistic. Ananother analysis wasconducted by the Z test and the Generalized Extreme Value (GEV) gives the best results. Therefore, the designs strom which was estimated based on the regional frequency analysis in Jakarta watersheds using the Generalized Extreme Value (GEV) has been determined.
References
Ahmad, U.N.; Shabri A.B. dan Zakaria, Z.A., 2011. Flood
Frequency Analysis of Annual Maximum Stream
Flows using L-moments and TL-moments
Approach. Applied Mathematical Sciences, Vol.
, 2011, no. 5, 243 – 253.
Jurnal Sumber Daya Air, Vol. 12 No. 1, Mei 2016: 1 - 16
Bílková, D., 2014b. Robust parameter estimations using L-moments, TL-moments and the order statistics. American Journal of Applied Mathematics, 2014, 2(2), 36-53.
Bílková, D., 2015, Alternative Way of Statistical Data Analysis: L-moments and TL-moments of Probability Distribution. International Journal of Mathematics Research 4(1), 1–15.
Dalrymple, T., 1960. Flood frequency analyses. Water Supply Paper 1543-A, U.S.Geological Survey, Reston, Va.
Elamir E.A dan Scheult A.H., 2003. Trimmed L-moments. Comput. Stat. Data Anal. 43, 299-314.
Elamir E.A., 2010. Optimal Choices for Trimming in Trimmed L-moment Method. Applied Mathematical Sciences, vol. 4, no 58, 2881–2890.
Ginting, S., 2015. Kajian dan Efektivitas Pengendalian Banjir di DKI Jakarta. Tesis Magister Pengelolaan Sumber Daya Air, Institut Teknologi Bandung, Bandung.
Gubareva, T. S. dan Gartsman, B. I., 2010. Estimating Distribution Parameters of Extreme Hydrometeorological Characteristics by L-moment Method. Water Resources, 2010, Vol. 37, No. 4, pp. 437–445.
Haan, C.T., 1977. Statistical Method in Hydrology. The Iowa State University Press/Ames.
Hassan, B.G.H dan Ping, F., 2012. Regional Rainfall Frequency Analysis for the Luanhe Basin – by Using L-moments and Cluster Techniques. International Conference on Environmental Science and Development (ICESD 2012), 5-7 January 2012, Hong Kong.
Hosking, J.R.M dan Wallis, J.R., 1997. Regional Frequency Analysis: an approach based on L-moments. Cambridge University Press.
Kite, G.W., 1988. Frequency and Risk Analyses in Hydrology. Water Resources Publications.
Kumar, R dan Chatterjee, C., 2005. Regional Flood Frequency Analysis Using L-moments for North Brahmaputra Region of India. Journal of Hydrologic Engineering, Vol. 10, No. 1, January 1, 2005.
Lim, Y.H., 2007. Regional Flood Frequency Analysis of the Red River BasinUsing L-moments Approach.Asquith, W.H., 2007. L-moments and TL-moments of the
Generalized Lambda Distribution.
Computational Statistics & Data Analysis. 51,
-4496.
Bílková, D., 2014a. L-moments and TL-moments as an
Alternative Tool of Statistical Data Analysis.
Journal of Applied Mathematics and Physics,
, 2, 919-929.
World Environmental and Water Resources Congress 2007: Restoring Our Natural Habitat
Liu, J.; Doan, C.D.; Liong, S.Y.; Sanders, R.; Dao, A.T. dan Fewtrell, T., 2014. Regional frequency analysis of extreme rainfall events in Jakarta. Natural Hazard.
Modarres, 2007. Regional frequency distribution type of low flow in North of Iran by L-moments. Water Resources Management, 22(7), 823-841.
Moniem, I.A. dan Selim, Y.M., 2009. TL-moments and L-moments Estimation for the Generalized Pareto Distribution. Applied Mathematical Sciences. 3(1), 43-52.
Norbiato, D.; Borga, M.; Sangati, M.; dan Zanon, F., 2007. Regional frequency analysis of extreme precipitation in the eastern Italian Alps and the August 29, 2003 flash flood. Journal of Hydrology (2007) 345, 149– 166
Noura A.T. Abu El-Magd, 2010. TL-moments of the exponentiated generalized extreme value distribution, Journal of Advanced Research, 1, 351–359.
Rahmand, M.M; Sarkar, S.; Najafi, R.M dan Rai, R.K., 2013. Regional Extreme Rainfall Mapping for Bangladesh using L-moments Technique. Journal of Hydrologic Engineering. ASCE.
Rao, A.R., dan Hamed, K.H., 2000. Flood Frequency Analysis. CRC Press.
Saf, B., 2009. Regional flood frequency analysis using L-moments, for the west Meditteranean region of Turkey. Water Resources Management, 23(3), 531-558.
Shabri A.B., Daud Z.M. dan Ariff N.M., 2011, Regional analysis of annual maximum rainfall using TL- moment method, Theor. Appl. Climatol., 104,561–570.
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