世界双遗产地景区系统空间结构的分形特征研究

Fractal features of scenic spatial construction in Wuyishan World Natural and Culture Heritage

利用分形理论中的计盒维数、信息维数和关联维数,采取变换取样空间的方式研究了武夷山双遗产地景区系统分形特征的多尺度效应。结果表明:在A取样尺度上,武夷山双遗产地景区系统A的空间结构计盒维数达到了1.474,信息维数为1.415,关联维数为1.048,3种维数的相关系数R值分别为0.994、0.999、0.969;在B取样尺度上,系统空间B1～B4的计盒维数范围为0.825～1.200,R值均达0.961以上,信息维数范围为0.919～1.302,R值均达0.964以上,关联维数范围为0.822～1.364,R值均达0.941以上;在C取样尺度上,系统空间C1～C16(去除空集及景点个数为1系统空间,下同)计盒维数范围为0.175～0.931,R值在0.775以上,信息维数范围为0.200～1.039,R值在0.771以上,关联维数范围为0.506～1.929,R值在0.704以上。说明武夷山世界双遗产地景区系统的空间结构具有明显的分形特征,其分形维数对取样空间尺度有较强的敏感性。

By using box dimension, information dimension and correlation dimension, fractal features of Wuyishan Natural and Culture Heritage were studied at a multi-dynamic scale. At the A sampling scale （with 1.474 box dimension, 1.415 information dimension, and 1.048 correlation dimension ）, the derived correlation coefficients （R） are 0.994, 0.999 and 0.969. At the B sampling scale, box dimension ranges from B1 to B4, the correlation coefficient ranges from 0.825 - 1.200, R values are all above 0.961. The range of information dimension is 0.919 - 1.302 with R values above 0.964. Correlation dimension range is 0.822 - 1.364 with R values above 0.941. At the C sampling scale, range of box dimension is C1 - C16 （excluding plots with spot quantity between 0 -1）, the correlation coefficient is 0.175- 0.931 with R values above 0.775. That of information dimension is 0.200 - 1.039 with R values above 0.771. Correlation dimension range is 0.506 - 1.929 with R values above 0.704. It is thus concluded that： the scenery system of Wuyishan Natural and Culture Heritage has obvious fractal characteristics. Furthermore, the fractal dimensions are sensitive to sampiing scale.