海岸线分维时序动态变化及其分形模拟研究——以江苏省海岸线为例

On Dynamic Change of Fractal Dimensions of Temporal Series and Fractal Simulation of Coastline——A Case Study of Jiangsu Coastline

结合国内外海岸线分形研究进展,以江苏省海岸线为例,首先对海岸线时间序列的分维动态变化进行了探讨,其次应用中点随机位移的方法对海岸线进行了分形模拟研究。通过研究指出:对海岸线时序分维变化的研究对于深入揭示海岸线分维所蕴涵的含义有着重要的意义,而海岸线的分形模拟则对于过去或未来某个历史时期海岸线分维的推算或预测以及相应海岸线形状的大致描述具有一定的实际应用价值。

Coastline is a traditional domain in the field of fractal research. Mandelbrot formulated “”the uncertainty of its length in his paper namedHow long is the coastline of Britain 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 B.BPhilips J.D, Paar V. et al., Jiang J.W. et al., Cheng Y.C. et al., Zhu X.H. et al.. Generally, the present researches are still in the stage which focuses on the calculation of fractal dimensions for different coastlines. Till now, the related references and further researches on coastline from dynamic change of temporal series of coastline and its fractal simulation have seldom been seen. The above issues are preliminarily discussed in this paper.