, Volume 36, Issue 4, pp 447461
First online:
On Fractal Dimensions of China's Coastlines
 Zhu XiaohuaAffiliated withDepartment of Geography, Peking University
 , Cai YunlongAffiliated withDepartment of Geography, Peking University
 , Yang XiuchunAffiliated withChina Center of Desert Research, Beijing Normal University
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The fractal dimensions of China's coastlines are preliminarily discussed on the basis of GIS in this paper. Some significant conclusions are drawn. The fractal relationship between the length of China's continental coastline L and the yardstick r is log L = 3.99 − 0.16 log r on the scale 1:2,500,000 map. The fractal relationship between the length of Jiangsu province's coastline and the yardstick may be established as log L = 2.82 − 0.10 log r on the scale 1:50,000 map. Using the divider method, the fractal dimension of China's continental coastline is 1.16, Taiwan Island is 1.04, etc. The fractal dimensions of coastlines of the Bohai sea, the Yellow sea, the East China sea, and the South China sea tend to increase from north to south, indicating that the complexity of China's coastlines increases toward low latitudes. The substantial components of coast, biological function, and climate from north to south result in a change in fractal dimensions along the coasts of China. The fractal dimension of a coastline is different from the average fractal dimension of all its parts. The more parts of a coastline, the larger the difference between the fractal dimension of the original coastline and the average fractal dimension of all its parts. Faults control the basic trends and fractal dimensions of coastlines as a whole in the studied areas of Taiwan Island and ChangleLufeng. The more the controlling effect of the faults, the smaller the fractal dimension of the coastline. The less the controlling effect of the faults, the larger the fractal dimension of the coastline. The results indicate that the faults control not only the basic trend of a coastline but also the complexity in the studied areas of Taiwan Island and ChangleLufeng.
 Title
 On Fractal Dimensions of China's Coastlines
 Journal

Mathematical Geology
Volume 36, Issue 4 , pp 447461
 Cover Date
 200405
 DOI
 10.1023/B:MATG.0000029299.02919.f8
 Print ISSN
 08828121
 Online ISSN
 15738868
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

 fractal
 fractal dimension
 coastline
 China
 Industry Sectors
 Authors

 Zhu Xiaohua ^{(1)}
 Cai Yunlong ^{(1)}
 Yang Xiuchun ^{(2)}
 Author Affiliations

 1. Department of Geography, Peking University, Beijing, 100871, People's Republic of China
 2. China Center of Desert Research, Beijing Normal University, Beijing, 100875, People's Republic of China