交通网络与城市化水平的线性相关模型

从城市化水平(z)与人均产出(x)的周模型(z=alnx-b)和交通网络连接度(β=c/ν)与人均收入(x)的对数关系模型(β=klnx+φ)出发,导出交通网络与城市化水平的线性相关模型β=Az+ζ,这暗示城市化过程与交通网络的发展互为因果。借助中国城市化水平与铁路里程的时间序列和空间系列数据对理论推导结果进行了实证分析,从而证明:区域城市体系的建设与交通网络的发展应该同步进行。

A MATHEMATICAL MODEL OF LINEAR RELATIONSHIP BETWEEN LEVEL OF URBANIZATION AND TRANSPORT NETWORK CONNECTIVITY

A new model on the relationship between the level of urbanization and connectivity of transport networks is derived as β=Az+ζ from Y.X.Zhou's model on the logarithmic relationship between the level of urbanization (Z) and that of economic development (X) and P.J.Taylor's model on the log-relation between connectivity of transport network (β) and the level of economic development (x'),the former take the form of z=alnx-b and the latter can be written as β=klnx'+φ,where x is per capita GNP,x' per capita income,percentage of population living in urban place,and β beta index,and A,ζ,a,b,k and φ are all parameters related.In the process of mathematical transformation,the linear relationship between per capita income (x') and per capita output value (x) was proved and used.We have xx',and the relationship is a key in the derivation.The new model is tested and verified using the data on the urbanization level and railway network of China.Based on the studies ut supra,an important conclusion can be reached that the construction of urban systems and development of transport network must be synchronized in order to consummate the geographical spatial structure in a region