为探讨蜿蜒河流的分形特征,引入量规维数描述河流平面形态的内部结构,证明量规维数是一种Housdorff维数,并计算了下荆江及其3个局部河段从1490-2013年6个历史时段的量规维数,定量地揭示了河流平面形态的演变规律。通过与曲折系数的对比分析表明,量规维数能更好地刻画河流的内部结构及其演变规律。
In order to investigate the fractal features of meandering rivers, the divider dimension was used as a parameter to describe the internal structure of river patterns. It is proven that the divider dimension is equal to the Housdorff dimension. The divider dimensions of the lower Jingjiang River and its three local sections in six historical periods from 1496 to 2013 were computed, quantitatively characterizing the evolution laws of the river patterns. The results show that, compared with the sinuosity coefficient, the divider dimensions can better characterize the river pattern and its evolution laws.