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Research Article | Open Access

Fractal dimension approach on climate analysis of India

M. Meenakshi1A. Gowrisankar1( )Jinde Cao2Pankajam Natarajan3
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India
School of Mathematics, Southeast University, Nanjing 210096, China
Department of Mathematics, School of Engineering and Technology, CMR University, Chagalahatti, Bangalore 562149, Karnataka, India
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Abstract

Climate change is an inevitable and important problem faced worldwide. Around the world, many researchers are doing research work on climate change with different factors. The authors of this study have used the fractal dimension to analyze the 41 years of climate change in India, from 1981 to 2021. The meteorological parameters, surface pressure, temperature, wind speed, and precipitation of 45 places in India were investigated for this research study. Each parameter was individually examined. As a result of this research, the mean average fractal dimension value of all parameters was acquired from 1.184 to 1.198. It was found that all the parameters within the data set, had a long-term persistence behavior. With these values, a suggestion for the prediction of the parameters was proposed. The results of the integrated analysis of these parameters showed that, with the exception of a location, all landscapes had a feature that precipitation increased with the temperature. Moreover, with the exception of two landscapes (the island and the frosty mountains), all areas received heavy rainfall during periods of low wind. Thus, this study contributes to a better understanding of the fractal aspects of climate change and the complexity of irregularity and the classification of weather characteristics.

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Mathematical Modelling and Control
Pages 15-30

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Cite this article:
Meenakshi M, Gowrisankar A, Cao J, et al. Fractal dimension approach on climate analysis of India. Mathematical Modelling and Control, 2025, 5(1): 15-30. https://doi.org/10.3934/mmc.2025002

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Received: 20 August 2023
Revised: 27 November 2023
Accepted: 17 May 2024
Published: 15 March 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)