@article{Meenakshi2025, 
author = {M. Meenakshi and A. Gowrisankar and Jinde Cao and Pankajam Natarajan},
title = {Fractal dimension approach on climate analysis of India},
year = {2025},
journal = {Mathematical Modelling and Control},
volume = {5},
number = {1},
pages = {15-30},
keywords = {fractal dimension, Hurst exponent, rescaled range analysis},
url = {https://www.sciopen.com/article/10.3934/mmc.2025002},
doi = {10.3934/mmc.2025002},
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.}
}