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区域城镇点-轴系统空间结构的分形模型
引用本文:蒙莉娜,郑新奇,赵璐,李志建,杨鑫.区域城镇点-轴系统空间结构的分形模型[J].地理科学进展,2009,28(6):944-951.
作者姓名:蒙莉娜  郑新奇  赵璐  李志建  杨鑫
作者单位:1. 中国地质大学(北京)土地科学技术学院,北京,100083
2. 中国地质大学(北京)土地科学技术学院,北京,100083;北京市国土资源信息开发研究重点实验室,北京,100083
基金项目:国家自然科学基金,国家社会科学基金,国家科技支撑项目,中国地质大学(北京)人才基金 
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

Study on Fractal Model of Regional Urban Pole-Axis System Spatial Structure
MENG Lina,ZHENG Xinqi,ZHAO Lu,LI Zhijian,YANG Xin.Study on Fractal Model of Regional Urban Pole-Axis System Spatial Structure[J].Progress in Geography,2009,28(6):944-951.
Authors:MENG Lina  ZHENG Xinqi  ZHAO Lu  LI Zhijian  YANG Xin
Institution: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
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.
Keywords:regional urban system  pole-axis system theory  a fractal model of pole-axis system  spatial structure  dimension  Jinan City
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