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Regional Frequency Analysis of Extreme Rainfalls in the West Coast of Peninsular Malaysia using Partial L-Moments

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  • Zahrahtul Zakaria
  • Ani Shabri
  • Ummi Ahmad

Abstract

This study was to reinstate the development of regional frequency analysis using L-moments approach. The Partial L-moments (PL-moments) method was employed and a new relationship for homogeneity analysis is developed. For this study, the PL-moments for generalized logistic (GLO), generalized pareto (GPA) and generalized value (GEV) distributions were derived based on the formula defined by Wang (Water Resour Res 32:1767–1771, 1996 ). The three distributions are used to develop the regional frequency analysis procedures. As a case of study, the Selangor catchment that consists of 30 sites which located on the west coast of Peninsular Malaysia has chosen as sample. Based on L-moment and PL-moment ratio diagrams as well as Z-test statistics, the GEV and GLO were identified as the best distributions to represent the statistical properties of extreme rainfalls in Selangor. Monte Carlo simulation shows that the method of PL-moments would outperform L-moments method for estimation of large returns period event. Copyright Springer Science+Business Media Dordrecht 2012

Suggested Citation

  • Zahrahtul Zakaria & Ani Shabri & Ummi Ahmad, 2012. "Regional Frequency Analysis of Extreme Rainfalls in the West Coast of Peninsular Malaysia using Partial L-Moments," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(15), pages 4417-4433, December.
    • Handle: RePEc:spr:waterr:v:26:y:2012:i:15:p:4417-4433
    DOI: 10.1007/s11269-012-0152-8
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    References listed on IDEAS

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    1. Betül Saf, 2009. "Regional Flood Frequency Analysis Using L-Moments for the West Mediterranean Region of Turkey," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(3), pages 531-551, February.
    2. Javad Abolverdi & Davar Khalili, 2010. "Development of Regional Rainfall Annual Maxima for Southwestern Iran by L-Moments," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(11), pages 2501-2526, September.
    3. Zamir Hussain & G. Pasha, 2009. "Regional Flood Frequency Analysis of the Seven Sites of Punjab, Pakistan, Using L-Moments," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(10), pages 1917-1933, August.
    4. Manel Ellouze & Habib Abida, 2008. "Regional Flood Frequency Analysis in Tunisia: Identification of Regional Distributions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(8), pages 943-957, August.
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    Cited by:

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    2. Mohamad Najib Ibrahim, 2022. "Assessment of the Uncertainty Associated with Statistical Modeling of Precipitation Extremes for Hydrologic Engineering Applications in Amman, Jordan," Sustainability, MDPI, vol. 14(24), pages 1-20, December.
    3. Yuyin Liang & Shuguang Liu & Yiping Guo & Hong Hua, 2017. "L-Moment-Based Regional Frequency Analysis of Annual Extreme Precipitation and its Uncertainty Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(12), pages 3899-3919, September.
    4. Khaled Haddad & Ataur Rahman, 2014. "Derivation of short-duration design rainfalls using daily rainfall statistics," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 74(3), pages 1391-1401, December.
    5. Carlos Llopis-Albert & José Merigó & Daniel Palacios-Marqués, 2015. "Structure Adaptation in Stochastic Inverse Methods for Integrating Information," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(1), pages 95-107, January.
    6. J. Ayuso-Muñoz & A. García-Marín & P. Ayuso-Ruiz & J. Estévez & R. Pizarro-Tapia & E. Taguas, 2015. "A More Efficient Rainfall Intensity-Duration-Frequency Relationship by Using an “at-site” Regional Frequency Analysis: Application at Mediterranean Climate Locations," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3243-3263, July.
    7. Wendy Shinyie & Noriszura Ismail & Abdul Jemain, 2013. "Semi-parametric Estimation for Selecting Optimal Threshold of Extreme Rainfall Events," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2325-2352, May.
    8. Andrea Gioia & Maria Francesca Bruno & Vincenzo Totaro & Vito Iacobellis, 2020. "Parametric Assessment of Trend Test Power in a Changing Environment," Sustainability, MDPI, vol. 12(9), pages 1-18, May.
    9. Ian Brodie, 2013. "Using Volume Delivery Time to Identify Independent Partial Series Events," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(10), pages 3727-3738, August.

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