Study on Self-Affine Fractal and Multi-Fractal Features of Geomorphic System in the Tianshan Area of Xinjiang Region, China

In this paper, we use the standard deviation method and the fixed mass method to study the self affine fractal and multi fractal features along two topographic profiles across different tectonic geomorphic elements in the Tianshan area of Xinjiang region, China. The results show that in the studied scaling range, the two profiles display different scaling fractal features, and the form and value range of multi fractal spectra D q also show different characteristics. The study suggests that the landforms are not completely random, but are deterministically random. The fractal dimension values in different scaling ranges express the mode, intensity and spatial dimension of the endogenic and exogenic processes. Meanwhile, a boundary point between the macroscopic and microscopic scales of geomorphic process is suggested to be about 5 km. These results are of significance in quantitative study of geomorphic dynamics.