地理研究

地理研究 ›› 1999, Vol. 18 ›› Issue (2): 171-178.doi: 10.11821/yj1999020009

• 论文 • 上一篇    下一篇

城镇体系空间结构的分形维数及其测算方法

刘继生1, 陈彦光2   

  1. 1. 东北师范大学地理系;
    2. 信阳师范学院地理系
  • 收稿日期:1998-03-16 修回日期:1999-02-08 出版日期:1999-06-15 发布日期:1999-06-15
  • 作者简介: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。
  • 基金资助:
    国家自然科学基金,河南省自然科学基金

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

LIU Jisheng1, CHEN Yanguang2   

  1. 1. Department of Geography, Northeast Normal University, Changchun 130024, China;
    2. Department of Geography, Xinyang Teachers College, Xinyang 464000, Chiina
  • Received:1998-03-16 Revised:1999-02-08 Online:1999-06-15 Published:1999-06-15

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被引次数

454 | 101

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

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

PACS: 

  • K928.5