基于分形理论的晋中城镇化体系和经济发展区域差异研究

应用分形理论,以山西省晋中市为研究区域,结合统计分析软件和GIS技术,测算了晋中市农村城镇化体系的分形规律,并利用经济发展盒子维数和关联维数,讨论和分析了晋中市内各县(市)城镇化和经济发展的分形特征和规律。结果表明,农村城镇化体系呈现了自然科学所特有的分形特征——城市规模分形;农村的经济发展速度与地域分布高度相关,也具有分形特征,且城镇体系规模与经济发展相辅相成、互相促进;区域经济发展快慢受地形、地貌等自然条件的影响仍然比较大,并指出要消除自然条件的影响,不仅要依靠区域内经济的带动、国家经济开发项目的支持及其力度的增大,而且还要加快经济结构调整,开展区域之间的合作交流,进一步发挥区域条件互补的优势,提高区域经济收入。

Research on the Areas Difference in the Urbanization System and the Economic Development Based on Fractal Theory in Jinzhong

In this paper, based on the theory of fraction, combined with the statistical software and GIS, the author calculates the fractal rules of Jinzhong city, and then lists their box dimensions and correlation dimensions, and also discusses and analyzes the fractal characteristics and fractal rules of all counties and cities in Jinzhong. The research results show： Firstly, the rural urbanization of urban system presents all the natural fractal features in the natural sciences, that is urban scale fractal; Secondly, the economic development speed is related with the height of terrain distributions, and also has fractal features, and the urban scale system is correlated with economic development and contributes to each other; Thirdly, the speed of regional economical development is affected by the natural conditions like terrains and reliefs. The paper also puts forth that in order to wipe out the effect of natural conditions, we should not only rely on the drive of regional economy, the support and the strengthening of national economic exploitation items, but also should quicken the adjustment of economic structure, expand the regional cooperation and exchange to further play the condition of regional advantages compensation and raise the revenue of regional economy.