Chaos in the waters: investigating non-linear dynamics of rainfall in river basin

Mohd Nor, Muhammad Mirza Irfan and Sapini, Muhamad Luqman (2025) Chaos in the waters: investigating non-linear dynamics of rainfall in river basin. In: Mathematics and Statistics Undergraduate Research Proceedings 2025. Universiti Teknologi MARA, Negeri Sembilan, pp. 90-101. ISBN 9786299595328

Abstract

Floods are a perennial natural disaster in Malaysia, having significant impacts on urban and rural society. It is essential to recognize the random nature of rainfall to enhance flood prediction and water resource planning. This research explores the evidence of chaos in rainfall patterns in the Ampang (urban) and Hulu Langat (rural) river systems through the 0-1 Test and Lyapunov Exponent (LE) techniques. A ten-year record (2013–2023) from ten chosen rainfall stations was used to identify the evidence of non-linear rainfall time series. The imputation of missing values and reduction in noise through the Single Exponential Smoothing Technique improved the quality of the data, and the chaos test was applied to the improved data. The findings affirm the evidence of chaos in rainfall in urban and rural river catchments, displaying sensitivity to the initial condition and non-linear. Against anticipation, the magnitude of chaos in the urban and rural catchments remained close to each other, indicating the influence of urbanization and land use alteration did not impact the chaos in rainfall. The findings suggest the limitation in conventional hydrological models since they are linear in nature and fail to capture the unpredictability of extreme rainfall events. Through the integration of chaos theory in the study of hydrology, the research offers useful contributions to the improvement of flood forecasting models and disaster readiness. The research underscores the necessity to develop adaptive, non-linear flood forecasting models to accommodate the innate chaos in rainfall patterns. The research findings could support the policymaker and urban planner in the formulation of effective flood protection strategies to build flood resilience to extremeweather events.

Metadata

Item Type: Book Section
Creators:
Creators
Email / ID Num.
Mohd Nor, Muhammad Mirza Irfan
UNSPECIFIED
Sapini, Muhamad Luqman
UNSPECIFIED
Subjects: G Geography. Anthropology. Recreation > GE Environmental Sciences > Environmental conditions. Environmental quality. Environmental indicators. Environmental degradation
Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Q Science > QA Mathematics > Analysis > Nonlinear theories
Divisions: Universiti Teknologi MARA, Negeri Sembilan > Seremban Campus
Page Range: pp. 90-101
Keywords: Chaos theory, river basin hydrology, 0-1 test, lyapunov exponent, non-linear dynamics
Date: 2025
URI: https://ir.uitm.edu.my/id/eprint/137160
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