Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter

Non-stationary flood frequency analysis (NFFA) plays an important role in addressing the issue of the stationary assumption (independent and identically distributed flood series) that is no longer valid in infrastructure-designed methods. This confirms the necessity of developing new statistical mod...

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Main Authors: Mat Jan, Nur Amalina, Shabri, Ani, Samsudin, Ruhaidah
Format: Article
Published: IWA Publishing 2020
Subjects:
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author Mat Jan, Nur Amalina
Shabri, Ani
Samsudin, Ruhaidah
author_facet Mat Jan, Nur Amalina
Shabri, Ani
Samsudin, Ruhaidah
author_sort Mat Jan, Nur Amalina
collection ePrints
description Non-stationary flood frequency analysis (NFFA) plays an important role in addressing the issue of the stationary assumption (independent and identically distributed flood series) that is no longer valid in infrastructure-designed methods. This confirms the necessity of developing new statistical models in order to identify the change of probability functions over time and obtain a consistent flood estimation method in NFFA. The method of Trimmed L-moments (TL-moments) with time covariate is confronted with the L-moment method for the stationary and non-stationary generalized extreme value (GEV) models. The aims of the study are to investigate the behavior of the proposed TL-moments method in the presence of NFFA and applying the method along with GEV distribution. Comparisons of the methods are made by Monte Carlo simulations and bootstrap-based method. The simulation study showed the better performance of most levels of TL-moments method, which is TL(η,0), (η = 2, 3, 4) than the L-moment method for all models (GEV1, GEV2, and GEV3). The TL-moment method provides more efficient quantile estimates than other methods in flood quantiles estimated at higher return periods. Thus, the TL-moments method can produce better estimation results since the L-moment eliminates lowest value and gives more weight to the largest value which provides important information.
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spelling utm.eprints-917692021-07-28T08:42:43Z http://eprints.utm.my/91769/ Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter Mat Jan, Nur Amalina Shabri, Ani Samsudin, Ruhaidah QA Mathematics Non-stationary flood frequency analysis (NFFA) plays an important role in addressing the issue of the stationary assumption (independent and identically distributed flood series) that is no longer valid in infrastructure-designed methods. This confirms the necessity of developing new statistical models in order to identify the change of probability functions over time and obtain a consistent flood estimation method in NFFA. The method of Trimmed L-moments (TL-moments) with time covariate is confronted with the L-moment method for the stationary and non-stationary generalized extreme value (GEV) models. The aims of the study are to investigate the behavior of the proposed TL-moments method in the presence of NFFA and applying the method along with GEV distribution. Comparisons of the methods are made by Monte Carlo simulations and bootstrap-based method. The simulation study showed the better performance of most levels of TL-moments method, which is TL(η,0), (η = 2, 3, 4) than the L-moment method for all models (GEV1, GEV2, and GEV3). The TL-moment method provides more efficient quantile estimates than other methods in flood quantiles estimated at higher return periods. Thus, the TL-moments method can produce better estimation results since the L-moment eliminates lowest value and gives more weight to the largest value which provides important information. IWA Publishing 2020 Article PeerReviewed Mat Jan, Nur Amalina and Shabri, Ani and Samsudin, Ruhaidah (2020) Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter. Journal of Water and Climate Change, 11 (4). pp. 966-979. ISSN 2040-2244 http://dx.doi.org/10.2166/wcc.2019.055
spellingShingle QA Mathematics
Mat Jan, Nur Amalina
Shabri, Ani
Samsudin, Ruhaidah
Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter
title Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter
title_full Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter
title_fullStr Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter
title_full_unstemmed Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter
title_short Handling non-stationary flood frequency analysis using TL-moments approach for estimation parameter
title_sort handling non stationary flood frequency analysis using tl moments approach for estimation parameter
topic QA Mathematics
work_keys_str_mv AT matjannuramalina handlingnonstationaryfloodfrequencyanalysisusingtlmomentsapproachforestimationparameter
AT shabriani handlingnonstationaryfloodfrequencyanalysisusingtlmomentsapproachforestimationparameter
AT samsudinruhaidah handlingnonstationaryfloodfrequencyanalysisusingtlmomentsapproachforestimationparameter