交通运输系统工程与信息 ›› 2007, Vol. 7 ›› Issue (1): 29-38 .

• 智能交通系统与信息技术 • 上一篇    下一篇

城市交通网络形态特征分形计量研究

孙壮志   

  1. 北京交通发展研究中心 北京 100055
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-02-24 发布日期:2007-02-24

The study of fractal approach to measure urban rail transit network morphology

Sun Zhuangzhi   

  1. Beijing Transportation Research Center Postcode: 100055
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-02-24 Published:2007-02-24

摘要: 城市交通网络形态和城市空间形态间的相伴相生,互动滋长的演化过程,客观上要求城市交通网络能够适应城市社会经济活动的需求,城市交通网络形态能够与城市形态相互匹配协调。对城市交通网络形态进行定量分析有助于科学地从数量上认识和把握城市交通网络形态,从宏观上规划和控制网络的发展趋势,使得城市交通网络更好地匹配城市形态,更加经济、合理、有效地支持和促进城市发展。本文从城市形态结构“增生和替代”的变化方式和城市形态“向外扩展”和“内部重组”的双重演变过程,阐述了城市形态和城市交通网络形态的互动滋长演变关系及其形态相似性;本文首次明确提出了城市交通网络形态计量问题,并根据分形几何学的基本原理,提出了容量维数、覆盖维数、阻抗维数和分枝维数四个分形维数指标,分别对交通网络的容量水平、出行服务覆盖状况、网络整体可达性及网络结构的复杂程度及其变化特征进行数学描述,建立了交通网络特征的分形计量方法。通过对北京、墨西哥和莫斯科三城市轨交网络的测算表明,该方法能够较好地刻画不同形态类型交通网络的主要形态特征。

关键词: 交通网络形态、分形维数、形态计量

Abstract: The process of interactive growth between urban morphology and urban transport networks morphology, needs urban transport network to satisfy the traffic demands of urban social and economic activities, and the morphology of urban transport networks should harmonies with the urban morphology. To measure and analysis the urban transport networks morphology will be helpful to understand the characteristics of urban transport networks, so as to plan and control the develop scale and trend of the networks development, and the urban transport networks morphology will match the urban morphology better. In the view of urban morphology structure “increase and replace” developing mode and the interactive process of “extend sprawl and inter reconstruction” of urban morphology, this paper described the interactive growth relationship and morphological similarity between urban morphology and urban transport networks morphology. How to measure urban rail transit network morphology is also put forward definitely in this paper in advance. Adopting fractal geometry’s principles, this paper builds four fractal dimensions: traffic capacity dimension, passenger coverage dimension, resistant dimension and branch dimension to portray traffic network capacity level, trip service coverage status, traffic network connectivity and their varieties mathematically. A fractal measure method to urban transit rail networks morphology is established in this paper. The measurement to rail transit networks of Beijing, Mexico and Moscow has indicated that the method can character the main fractal features of different rail transit network form preferably.

Key words: rail transit network morphology, fractal dimension, morphology measuring