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Modelling extreme rainfall patterns in Peninsular Malaysia using spatial extreme value approaches


Citation

Syahizam, Farah Adibah and Abdul Halim, Syafrina (2026) Modelling extreme rainfall patterns in Peninsular Malaysia using spatial extreme value approaches. Journal of Quality Measurement and Analysis, 22 (1). pp. 97-122. ISSN 1823-5670; eISSN: 2600-8602

Abstract

Extreme rainfall poses significant challenges to communities, infrastructure, and ecosystems, particularly in tropical regions like Peninsular Malaysia. Recent decades have seen increasing rainfall variability and intensity due to climate change and monsoonal influences. This study models extreme rainfall using the generalized extreme value (GEV) distribution and extends the analysis spatially through max-stable processes (MSP), specifically the Smith and Schlather models. Using block maxima GEV marginals and MSP spatial models Smith and Schlather, this study quantifies spatial dependence in annual maxima from 11 stations (19902023) selected for data completeness and geographic coverage (coastal/inland). Missing data were imputed using inversedistance weighting (IDW). The return levels for 5-, 10-, 20-, and 30-year periods are assessed. The MSP approach enables modeling of spatial extremes by transforming return levels into Frchet margins. Parameters are estimated using maximum pairwise likelihood estimation (MPLE), and model performance is evaluated using the Takeuchi information criterion (TIC) and root mean square error (RMSE). Allowing a timevarying range parameter λ(t) within the Schlather model improves returnlevel estimates relative to stationary alternatives. These results support floodresilient design such as drainage capacity, dam safety and zoning. This study acknowledge nonstationarity due to climate change as a key extension and note that the framework can incorporate climate covariates.


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Additional Metadata

Item Type: Article
Subject: Economics and Econometrics
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.17576/jqma.2201.2026.06
Publisher: Penerbit Universiti Kebangsaan Malaysia
Keywords: Extreme rainfall; Generalized extreme value; Max-stable processes; Schlather; Smith; Spatial extreme value
Sustainable Development Goals (SDGs): SDG 13: Climate Action, SDG 11: Sustainable Cities and Communities, SDG 9: Industry, Innovation and Infrastructure
Depositing User: Ms. Siti Radziah Mohamed@mahmod
Date Deposited: 16 Jul 2026 08:05
Last Modified: 16 Jul 2026 08:05
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.17576/jqma.2201.2026.06
URI: http://psasir.upm.edu.my/id/eprint/126335
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