1. Fractal Dimension Characteristics of Chinese Mainland Coastline Based on Automated Divider Method: Comparative Analysis with Box-Counting Method.
- Author
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XU He, ZHANG Yuxin, HOU Xiyong, FAN Chao, and GUO Yu
- Subjects
FRACTAL dimensions ,COASTS ,COMPARATIVE method ,FRACTAL analysis ,COMPARATIVE studies ,SEA level - Abstract
Fractal dimension is a fundamental index used to describe the complexity of coastlines. However, the traditional method of calculating divider dimensions using hand-drawn circles is no longer suitable for studying coastlines at large spatial scales due to its limited accuracy and lack of convenience in the current information age. Therefore, this paper developed an automated software based on the principle of the divider method, using the open-source PyQGIS. This software accurately and conveniently calculated the divider dimensions of Chinese mainland coastline, various sea area coastlines, and different province coastlines. Furthermore, the divider dimensions calculated by the software were compared and analyzed with the box-counting dimensions obtained through the box-counting method. It is found as follows. ➀ Compared with the traditional hand-drawn divider method, the automated divider method can ensure computational speed and accuracy while extending the calculation scale, and the obtained divider dimension is generally higher than the box-counting dimension obtained by the box-counting method. ➁ The divider dimension of Chinese mainland coastline in 2020 is 1.194 8, while the divider dimensions of the north and south of Hangzhou Bay are 1.170 4 and 1.217 5, respectively, indicating a higher complexity in the coastline on the south of Hangzhou Bay. ➂ The fractal dimension of Chinese mainland coastline exhibits substantial spatial variations, showing a pattern of higher values in the north and south and lower values in the middle. At the sea area level, the divider dimension of the coastline is the largest (1.209 1) in the South China Sea area and the smallest (1.156 3) in the South Yellow Sea area. At the provincial level, the divider dimension of the coastline is the largest (1.290 4) in Tianjin and the smallest (1.087 5) in Shanghai. This study demonstrates that the automated divider method offers a convenient and robust calculation tool for analyzing the fractal dimension of coastlines. It enhances computational efficiency and accuracy while providing technical support and serving as a reference for decision-making in the investigation and comprehensive management of coastlines. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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