地理科学 ›› 1999, Vol. 19 ›› Issue (2): 114-118.doi: 10.13249/j.cnki.sgs.1999.02.114

• 论文 • 上一篇    下一篇

区域交通网络分形的DBM特征——交通网络Laplacian分形性质的实证研究

陈彦光1, 刘继生2   

  1. 1. 信阳师范学院地理系 信阳 464000;
    2. 东北师范大学地理系 长春 130024
  • 收稿日期:1998-01-15 修回日期:1998-12-08 出版日期:1999-03-20 发布日期:1999-03-20
  • 基金资助:
    国家自然科学基金(49771035);河南省自然科学基金(974071200)

THE DBM FEATURES OF TRANSPORT NETWORK OF A DISTRICT——A Study on the Laplacian Fractals of Networks of Communication Lines

Chen Yanguang1, Liu Jisheng2   

  1. 1. Department of Geography, Xinyang Teachers College, Xinyang 464000;
    2. Department of Geography, Northeast Normal University, Changchun 130024
  • Received:1998-01-15 Revised:1998-12-08 Online:1999-03-20 Published:1999-03-20

摘要: 城镇体系在理想状态下的三角点阵格局暗示着现实中的交通网络在一定时空条件下具有DBM模型的某些特征。从形态分析和维数对比两个方面论证了区域交通网络的Laplacian分形性质,认为可用DBM模型模拟城镇体系-交通网络的形成和演化过程,从而揭示其动力学机制。

Abstract: According to the central place theory,urban systems under ideal conditions appear in the form of triangular lattice,which suggests that the transport network around a central city maybe possesses some characteristics of di electric breakdown model (DBM).It was presented in the paper that transport networks are Laplacian fractals after the authors’ comparing some networks of communication lines of China with DBM in respects of morphology and fractal dimensions.The spread mechanism of a transport network is very similar to that of DBM,and the mean of the fractal dimension values of real transport network is about 1.7,which approximates that of DBM in the Laplacian field of two-dimension.So,one of the important conclusions is that we can simulate and then optimize networks of communication lines by means of suitable di electric breakdown model and computers.

中图分类号: 

  • F503