基于三角形变换的中国城市空间分布与区域关联分析

Spatial Distribution and Regional Correlations of Chinese Cities Based on Triangle Transition Analysis

  • 摘要: 本文提出一种基于三角形变换的方法,对中国城市的空间分布结构进行了实证分析研究。这一方法将所观察的城市和其周边满足某一条件的3个近邻城市的地理位置,映射到一个标准正三角形空间上,并统计各个所观察城市在映射三角形中的位置分布。研究发现,城市与和它的经济规模接近的近邻城市之间的关系在映射三角形上呈现出中心聚集趋势,说明城市关系以竞争排斥为主;而与它规模相差较大的近邻城市之间,则呈现出三角分离趋势,显示出明显的协作吸引关系。通过分析,该文发现这两种趋势的转变所对应的城市GDP之比的阈值约为1.2。进一步,基于这种方法,根据城市之间的空间关系,该文提出一种经济区域的识别方法,并对中国大陆地区的经济区域进行了有效识别。该文的研究及发现对于理解城市之间的竞争与协作关系以及区域经济发展趋势预测有着一定的意义。

     

    Abstract: In this paper, we propose a method in the analysis of city system based on triangle transition, and empirically analyze the spatial structure of Chinese cities. This triangle transition maps the geographical location of the target city and its three neighboring cities of a certain condition to a standard equilateral triangle space. Through analyzing the position distribution of the cities in the mapping triangle, we observe the gathering effect between the neighboring cities with similar GDP, while remarkable centrifugal effect between the neighboring cities with large difference on GDP. The former implies the competitive trends, the latter shows the collaborative relationship between cities. This transition from competition to collaboration occurs at threshold 1.2 on the ratio of the two cities' GDP. Furthermore, based on this method, we propose an approach to identify economic regions, and analyze the regional economic structure of the mainland of China. These methods based on triangle transition provide a novel viewpoint to understand cities' economic competition and collaboration, as well as the trends of regional economy development.

     

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