Fractal features of scenic spatial construction in Wuyishan World Natural and Culture Heritage
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Abstract
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 sampling scale.
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