基于中心地理论的城镇等级-规模模型的分形构建及其应用

以中心地理论为基础,借助分形理论构建城镇等级—规模分布模型。在已知城镇规模分布分维数的条件下,计算出不同K值下区域城镇体系等级—规模的分布序列,称其为中心型分布模型。与Zipf公式相比,该模型不仅使城镇位序—规模法则更具理论内涵、更接近实际,而且具有横向可比性和纵向预见性,还可以确定区域城镇规模分布的中心性K值。最后以陕西省关中地区为例进行实证分析。

The Center Distributed Model of Towns' Rank-Size Resorted Fractal Theory on the Basis of Central Place Theory and Its Application

In order to make the rank-size study of regional urban system has better theoretical dependence,this article sets up a model of urban system's ranksize,which is resorted fractal theory on the basis of Central Place Theory.If the fractal dimension of the urban system's size distribution is known,the urban system's rank-size distribution model on the basis of Center Place Theory could be made up for a single region,and the authors call it center distributed model.Compared with the Zipf's formula,above model has better theoretic values and practical worth.First,it adds more theoretical mean into rank-size rule;second,it can predict the rank-size distribution of one region's urban system and also makes it can be compared with other regions' urban system;third,it can estimate the value of "K" which is defined in center distributed model.So above model is a better orientation for the development of a region's urban system.At last,the authors take the Guanzhong area in Shanxi Province for an example to explain the application of above model.