利用单对数Lorenz曲线计算城市体系等级结构的Gini系数

How to calculate the Gini coefficients based on single logarithmed Lorenz curve of city size distrib

摘要: 基于河南省城市体系的人口数据提出在分形结构退化情况下利用单对数型Ｌｏｒｅｎｚ曲线计算城市规模分布的Ｇｉｎｉ系数的方法之一：首先借助式∑ｋＰ（ｋ）＝Ａ＋Ｂｌｎｋ计算待定系数Ａ、Ｂ，然后运用Ｇ＝（Ａ－Ｂ－ＢｌｎＮ５０）／５０算出Ｇｉｎｉ系数Ｇ值。文章以实例说明了计算Ｇ值的程序。

Abstract: A method is presented in the paper to calculate Gini coefficient values of size distributions of cities by means of single logarithmed Lorenz curve when fractal structure has degenerated. First,determine the parameters A and B in the equation ∑kP(k)=A+Blnk through regression;Then compute Gini coefficient G value with the formula,G=(A-B+BlnN-50)/50,derived by the authors. Examples of calculation are given based on the date of urban population of Henan Province to show how to get G values in practice.