兰州交通大学学报2024,Vol.43Issue(4) :62-67.DOI:10.3969/j.issn.2096-9066.2024.04.008

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

王奕璇 唐相龙
兰州交通大学学报2024,Vol.43Issue(4) :62-67.DOI:10.3969/j.issn.2096-9066.2024.04.008

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

王奕璇 1唐相龙2
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作者信息

  • 1. 兰州交通大学测绘与地理信息学院,兰州 730070;兰州有色冶金设计研究院有限公司,兰州 730030
  • 2. 兰州交通大学建筑与城市规划学院,兰州 730070
  • 折叠

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.

Abstract

Urban clusters are crucial carriers of new urbanization and key growth poles for high-quality regional devel-opment.Exploring the hierarchical scale structure of urban clusters is vital for optimizing spatial layouts and promo-ting 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 analy-sis was conducted on the hierarchical size structure of the Lanzhou-Xining urban agglomeration.The research find-ings 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 popu-lation 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 ear-ly 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

Key words

fractal theory/dimension/size structure/Lanxi urban agglomeration/Zipf's Law

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基金项目

国家自然科学基金(52068040)

甘肃省建设科技软科学项目(JK2021-23)

出版年

2024
兰州交通大学学报
兰州交通大学

兰州交通大学学报

影响因子:0.532
ISSN:1001-4373
参考文献量13
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