BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application

A HYBRID ARIMA-DISCRETE WAVELET TRANSFORM MODEL FOR ENHANCED COASTAL SEA LEVEL FORECASTING

Hakami Ali Mohammed (School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia)
Muhammad Fadhil Marsani (School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia)
Mohd Shareduwan Mohd Kasihmuddin (School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia)
Farid Zamani Che Rose (Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, Malaysia)
Basri Badyalina (Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara, Indonesia)



Article Info

Publish Date
24 Aug 2026

Abstract

Accurate sea level forecasting is essential for coastal resilience, as rising sea levels threaten coastal residents, infrastructure, and ecosystems, heightening the hazards of floods and erosion; yet, conventional models struggle with non-linear trends. This study proposes a hybrid ARIMA-DWT (Autoregressive Integrated Moving Average with Discrete Wavelet Transform) model to enhance prediction accuracy by decomposing sea level data into linear (ARIMA) and non-linear (DWT) components. The hybrid model, utilizing monthly sea level data from Penang, Malaysia (1984–2018; N=408), diminished errors by 20% compared to the standalone ARIMA, attaining out-of-sample RMSE=81.76, MAE=68.40, and MAPE=2.45%. The ARIMA-DWT framework effectively captures long-term climate trends and short-term variations, providing a computationally efficient resource for coastal planners. This method demonstrates enhanced efficacy in situations characterized by significant seasonality, offering practical insights for climate adaptation. This research enhances the existing body of work on hybrid forecasting techniques by providing a scalable framework for areas vulnerable to sea level rise.

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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...