地理科学进展 ›› 2009, Vol. 28 ›› Issue (6): 944-951.doi: 10.11820/dlkxjz.2009.06.016

• 产业发展与区域经济 • 上一篇    下一篇

区域城镇点-轴系统空间结构的分形模型

蒙莉娜1|郑新奇1|2|赵璐1|李志建1|杨 鑫1   

  1. 1. 中国地质大学(北京)土地科学技术学院|北京 100083; |2. 北京市国土资源信息开发研究重点实验室|北京 100083
  • 出版日期:2009-11-25 发布日期:2009-11-25
  • 通讯作者: 郑新奇(1963-),男,博士,教授。主要从事GIS开发与应用、土地评价与规划、空间数据挖掘,复杂系统仿真、地理计算等研究。 E-mail:zxqsd@126.com
  • 作者简介:蒙莉娜(1984-)|女|硕士研究生。主要从事土地资源管理、GIS应用研究。
  • 基金资助:

    国家自然科学基金项目(40571119);国家社会科学基金项目(07BZZ015);国家科技支撑项目资助课题(2006BAB15B03, 2006BAB15B06, 2006BAJ05A03);中国地质大学(北京)人才基金资助项目(51900912300)

Study on Fractal Model of Regional Urban Pole-Axis System Spatial Structure

MENG Lina1, ZHENG Xinqi1,2, ZHAO Lu1, LI Zhijian1, YANG Xin1   

  1. 1. School of Land Science and Technology, China University of Geosciences, Beijing 100083, China; |
    2. Beijing Key Laboratory of Land Resources Information Development Research, Beijing 100083, China
  • Online:2009-11-25 Published:2009-11-25

摘要:

点—轴系统是我国区域城镇空间结构的主要模式之一。探索城镇点—轴系统空间结构,进而揭示其数理本质,是进行地理空间优化的理论基础。文章从分形理论出发,构建点—轴系统分形模型,明确该模型的地理意义,以此刻画点—轴系统的空间结构。利用GIS软件开发了点—轴系统分形模型计算工具。以济南市城镇—交通系统为例,在GIS数据环境下计算其分形模型参数,研究结果发现:{1}区域点—轴系统发育到一定阶段的确呈现分形性质,点—轴系统分形模型可以有效地反映点—轴系统空间结构形态;{2}无标度性、分形、有序性是地理空间的不同状态,推论得出随着点—轴系统的发展,其空间结构也经历着无序→无标度网络→分形结构→有序→更为复杂的无序的演进过程;{3}济南市城镇—交通系统已经形成点—轴系统的雏形,城镇点—轴系统处于发展阶段。

关键词: 区域城镇体系;点—轴系统理论;点—轴系统分形模型;空间结构;分维;济南市

Abstract:

Pole-axis system is one of the main modes of Chinese regional spatial structure. It is an academic element for geographical space optimization to research urban pole-axis system spatial structure and reveal its mathematics nature. Based on pole-axis system theory, a fractal model of pole-axis system was built, and then its geographical meaning was illuminated. According to the mathematic elements of pole-axis system fractal model, this paper developed counting program of fractal model by GIS software. Taking urban-traffic system in Jinan City, Shandong Province as an example, this paper counted the parameter of its fractal model by using GIS data format. The results showed that: (1) The pole-axis system presented a fractal nature indeed when developing to a certain stage, and the fractal model of pole-axis system can effectively reflect the spatial structure of pole-axis system. (2) Fractal, scale-free and order is the different states of geo-spatial. We deduced that its spatial structure has experienced an iterative process of disorder → scale-free → fractal→ order→ a more complex disorder with the development of pole-axis system. (3) The urban-traffic system in Jinan City, Shandong Province had shaped the rudimental structure of pole-axis system, which was in the developing stage.

Key words: a fractal model of pole-axis system, dimension, Jinan City, pole-axis system theory, regional urban system, spatial structure