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地理研究 >

1999 , Vol. 18 >Issue 2: 171 - 178

DOI: https://doi.org/10.11821/yj1999020009

论文

城镇体系空间结构的分形维数及其测算方法

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  • 1. 东北师范大学地理系;
    2. 信阳师范学院地理系
刘继生(1955- ),男,副教授,博士。从事人文地理学研究和教学工作。发表《东北地区城市体系空间结构的分形研究》、《城镇体系等级结构的分形维数及其测算方法》等40余 篇论文。

收稿日期: 1998-03-16

  修回日期: 1999-02-08

  网络出版日期: 1999-06-15

基金资助

国家自然科学基金,河南省自然科学基金

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Fractal dimensions of spatial structure of an urban system and the methods of their determination

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  • 1. Department of Geography, Northeast Normal University, Changchun 130024, China;
    2. Department of Geography, Xinyang Teachers College, Xinyang 464000, Chiina

Received date: 1998-03-16

  Revised date: 1999-02-08

  Online published: 1999-06-15

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摘要

总结了刻画城镇体系空间结构的三种分形维数:聚集维数(半径维数)、网格维数和空间关联维数,阐释了各种维数的地理意义,然后以实例说明了它们的测算方法。

关键词： 城镇体系; 空间结构; 分形; 分维

本文引用格式

刘继生, 陈彦光 . 城镇体系空间结构的分形维数及其测算方法[J]. 地理研究, 1999 , 18(2) : 171 -178 . DOI: 10.11821/yj1999020009

Abstract

In the paper,three kinds of fractal dimensions were summed up to characterize spatial structure of urban systems which were respectively named as aggregation dimension, grid dimension, and spatial correlation dimension.Correspondingly, the methods of the determinning of the fractal dimensions were advanced, including gyration radius method,Sandbox method,and density-density correlation function method.

Key words： urban system; spatial structure; fractal; fractal dimension

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