A Research On Fractal Dimensions Characteristics Of Gully Based On GIS In The Loess Plateau

The application of fractal theory in geography made the cognition of people for a lot of anomalistic, complicated geometric forms in nature deepen, and provided new idea and powerful tools especially for many natural forms which were not easy to expressed by traditional geometric forms, which lay a foundation for Fractal Geomorphology. In the first, an academic concept of fractal dimension of contour(FDC) and fractal dimension of gully network(FDG) were put forward on the basis of summarizing the formers' research results and research experience extensively;In the second, taken the Loess Plateau of North Shaanxi Province as the research area, this dissertation discussed the calculation principle and methods of FDC and FDG based on GIS, as well as established the extraction model of FDC and FDG respectively;In the third, this dissertation analyzed profoundly the relief meanings that FDC and FDG contained, and ascertained the characteristics of FDC and FDG in describing the relief form through the comparison of FDC and FDG with gully density. At last, the spatial distribution law of FDC and FDG in the Loess Plateau of North Shaanxi Province were expatiated. According to the results of experiments, FDC and FDG could not only describe the fluctuation of terrain, also could reflect erosion and incision degree of the earth's surface.