交通网络与城市化水平的线性相关模型-《山东大学学报》哲学社会科学版.PDF

DOI :10.13959/j.issn.1003 -2398.2004.01.015 19 　 1 　　　 Vol.19, No.1　 　 2004 2 　　　　　　　　　　　　　HUMAN GEOGRAPHY　　　　　　　　　　　　　　 Fe .2004　 :1003—2398 (2004)01—0062—04 (, 　100871) A MATHEMATICAL MODEL OF LINEAR RELATIONSHIP BETWEEN LEVEL OF URBANIZATION AND TRANSPORT NETWORK CONNECTIVITY CHEN Yan-guang (Dep artment of Urban and Environmental Sciences, Peking University, Beij ing 100871, China) Abstract:A new model on the relationship etw een the level of ur anization and connectivity of trans- port netw orks is derived as β=Az +ζfrom Y .X.Zhou smodel on the logarithmic relationship e- tween the level of ur anization (Z)and that of economic development ()and P.J .Taylor smodel on the log-relation etween connectivity of transport netw ork (β)and the level of economic develop- ment (x ), the former take the form of z =alnx-b and the latter can e w ritten as β=klnx +φ, w here x is per capita GNP, x per capita income, percentage of population living in ur an place, and β eta index, and A , ζ, a, b, k and φare all parameters related.In the process of mathematical transformation, the linear relationship etween per capita income (x )and per capita output value (x ) w as 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 ur anization level and railw ay network of China.Based on the studiesut supra, an important conclusion can e reached that the construction of ur an systems and de- velopment of transport network must e synchronized in order to consummate the geographica