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∑k P (k)= A+ Blnk 计算待定系数 A、 B,然后运用 G= ( A- B- Bln N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.

     

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