基于分形理论的兰西城市群等级规模结构研究  

Research on the Hierarchical Scale Structure of Lanxi Urban Agglomeration Based on Fractal Theory

作　　者：王奕璇 唐相龙[2] WANG Yixuan;TANG Xianglong(Faculty of Geomatics,Lanzhou Jiaotong University,Lanzhou 730070,China;School of Architecture and Urban Planning,Lanzhou Jiaotong University,Lanzhou 730070,China;Lanzhou Nonferrous Metallurgy Design and Research Institute Co.,Ltd.,Lanzhou 730030,China)

机构地区：[1]兰州交通大学测绘与地理信息学院,兰州730070 [2]兰州交通大学建筑与城市规划学院,兰州730070 [3]兰州有色冶金设计研究院有限公司,兰州730030

出　　处：《兰州交通大学学报》2024年第4期62-67,共6页Journal of Lanzhou Jiaotong University

基　　金：国家自然科学基金(52068040);甘肃省建设科技软科学项目(JK2021-23)。

摘　　要：城市群是新型城镇化的重要载体和区域高质量发展的重要增长极。探究城市群等级规模结构,对于优化城市群空间布局,推动区域高质量发展十分重要。研究从分形理论在兰西城市群研究中的应用入手,利用豪斯道夫维数和齐夫定律,对兰西城市群的等级规模结构进行了详尽的分维测算。研究结果显示,兰西城市群系统呈现明显的分形特征,证实了分形理论在分析城市群等级规模结构方面的适用性。基于分维测算和位序—规模特征分析结果表明:1)区域内城市人口分布差异显著,城市规模分布较为分散,其中兰州市和西宁市等首位级城市表现出垄断地位。2)具备发展潜力且人口规模位于第二序列的城镇数量相对较少。3)第四位序城市的规模高度集中,呈现出较为均衡的人口分布情况。4)兰西城市群所处的发展阶段尚未成熟,其等级规模结构需要进一步优化。Urban clusters are crucial carriers of new urbanization and key growth poles for high-quality regional development.Exploring the hierarchical scale structure of urban clusters is vital for optimizing spatial layouts and promoting high-quality development in the region.The research explores the application of fractal theory in the study of the Lanzhou-Xining urban agglomeration.Using the Hausdorff dimension and Zipf's Law, a comprehensive fractal analysis was conducted on the hierarchical size structure of the Lanzhou-Xining urban agglomeration.The research findings reveal that the Lanzhou-Xining urban agglomeration system exhibits distinct fractal characteristics, confirming the applicability of fractal theory in analyzing the hierarchical size structure of urban agglomerations. Based on the fractal analysis and analysis of rank-size characteristics, the results indicate: 1) Significant differences in population distribution exist within the region, with a relatively dispersed distribution of city sizes, where leading cities such as Lanzhou and Xining dominate.2) There is a relatively limited number of towns with development potential and population sizes falling within the second tier.3) The rank-size structure of cities in the fourth tier is overly concentrated, indicating a relatively balanced population distribution.4) The Lanzhou-Xining urban agglomeration is still in an early stage of development, and its hierarchical size structure requires further optimization.

关 键 词：分形理论 分维 规模结构 兰西城市群 齐夫定律 

分 类 号：TU984[建筑科学—城市规划与设计]