GIS支持的中美澳海岸线分维及其比较研究

利用GIS对中国、美国、澳大利亚海岸线进行了研究。主要内容包括：第一,同方法与同比例尺图源情况下各自海岸线分维的计算与比较;第二,中美澳海岸线分维随纬向的可能变化特征探讨;第三,海岸线分维在海岸线整体与部分之间的可能变化关系。所得结论在一定程度上丰富与加深了对海岸线分形性质的认识。

On Fractal Dimensions and Their Comparsion of China,USA and Australia Based on GIS

Coastline is a traditional domain in the field of fractal research. Mandelbrot formulated the uncertainty of its length in his paper named "How long is the coastline of British?"which was published on "Science" in 1967. The fractal concept was presented for the first time in that paper and has been applied to many fields ever since. The fractal dimensions of different coastlines have been calculated by many researchers, such as Mandelbrot, Goodchild, Phillips, Qiu, Turcotte, Philip, Andrle, Jay Gao et al., Paar, Jiang et al., Stomczynski, Zhu et al. Generally, the present researches are still in the stage which focus on the calculation of fractal dimensions for different coastline. Till now, the related references and further researches on the fractal dimensions and their comparison of China, USA and Australia are seldom seen. The above issue is preliminarily discussed in this paper.