中国城市人口、土地和产值的分维关系研究

Study on Relationship between Population,Land and Output of China Based on Fractal Dimension

利用城市结构的分形模型和城市产出的C-D模型,从国家、区域和典型城市三个层面对1983—2006年我国城市人口、土地和产值三者之间的非线性关系进行了分析。结果显示:我国大部分城市在研究时段内具有分形特征,标度因子值均为分维,大部分城市系统在向结构优化的方向发展。

Based on the fraetal model and the C-D function, this paper analyzes the non-liner relationship between urban population, urban land and output of cities in China during 1983-2006 from aspects of the nation level ,the region level and the city level. The results show that,most of cities in China have the characteristics of the fractal patterns of self-affinity;the scale factor also has the characteristic of fractional dimension, and most cities system are moving toward the goal of structure optimization.