基于逆向重力模型及标准代数算法，利用城际O-D客流矩阵和铁路最短距离矩阵，测算了28 个省会城市和 直辖市的城市质量。在此基础上，采用相关系数及线性回归等统计方法，研究了人口、GDP等因素对城市质量的 影响。研究发现，城市质量总体上呈现由东向西递减的趋势，其等级结构呈现“纺锤体”特征。诸多影响因素中， 从业人员是刻度城市质量的最佳指标，交通枢纽的城市地位对“轴—辐”网络城市质量具有重要影响。城市质量 的线性拟合方面，复合指标比单一指标具有更好的解释力。
Based on a reverse gravity model, endogenous nodal attractions of 28 cities are estimated using the algebraic method with a Chinese railway passenger database with known exogenous spatial interaction and impedance. Then nodal attributes that contribute to the nodal attractions are examined using correlation index and linear regression function. We find that the 28 cities'nodal attractions show a decreasing trend from east to west and the hierarchical structure presents a "spindle" feature. Among many factors, the employees is the best indicator of nodal attractions and whether the city is a transport hub or not has an important influence on its nodal attraction in the "axis - spoke" network. The linear fitting results of nodal attractions indicate that the composite index can achieve better fitting effect than a single indicator.
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