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  

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

作　　者：刘红光[1] 刘科伟[1] 

机构地区：[1]西北大学城市与资源学系,陕西西安710069

出　　处：《地理与地理信息科学》2006年第3期74-77,共4页Geography and Geo-Information Science

摘　　要：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。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 rank-size,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 deelopment 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.

关 键 词：城镇体系 分形理论 等级规模 中心型分布模型 

分 类 号：F290[经济管理—国民经济]