中国水系的盒维数及其关系

On box dimensions of river basins of China

应用分形理论,系统地探讨了整个中国水系及其各组成流域水系的分形结构特征。通过研究,得出主要结论如下:(1)整个中国水系及其各组成流域水系的分形结构特征是客观存在的;(2)应用网格法系统地计算出了中国各流域水系的盒维数值:整个中国水系的盒维数值为1 4189,中国外流区水系的盒维数值为1 4305;(3)中国平原地区水系的盒维数值一般较大;(4)整个中国水系盒维数值与组成它的各个层次流域水系的盒维数值的平均值并不相等,一般而言,不同层次流域水系盒维数值的平均值小于整个水系盒维数值。

The fractal theory is used to study systematically the fractal character of the river basins of China in this paper Some significant conclusions are drawn as follow:(1) The fractal character exists objectively in the river basins of China(2) The fractal dimensions of the river basins of China are calculated The box dimension of the whole river basins of China is 1418*#9,and that of the exorheic region of China is 1430*#5,etc(3) The box dimensions of river basins in plain regions of China are larger than those in mountain regions(4) The box dimension of the whole river basins of China is different from the average dimension of all its parts The more the parts of the river basins,the larger the difference between the box dimension of the original river basins and the average fractal dimension of all parts