乌鲁木齐都市圈城镇体系发展的分形特征研究
收稿日期: 2013-07-03
修回日期: 2013-07-29
网络出版日期: 2014-03-10
基金资助
教育部人文社会科学研究项目（12XJJC790004）。
Study on Fractal Characters of the Urban System of Urumqi Metropolitan Area
Received date: 2013-07-03
Revised date: 2013-07-29
Online published: 2014-03-10
本文首先用分形理论的集聚维数和关联维数探析了乌鲁木齐都市圈城镇体系发展的空间分形特征；然后，运用2007年和2011年的社会经济统计数据，结合分形理论的齐夫模型，运用等级规模维数并通过与中国其他都市圈的比较，研究了乌鲁木齐都市圈城镇体系发展的等级规模变化分形特征。结果表明，乌鲁木齐都市圈城镇体系集聚维数和关联维数分别为1.060和0.882，说明乌鲁木齐都市圈已经形成了以乌鲁木齐为中心呈凝聚状态分布的空间自组织体系，各城市之间相互联系比较紧密，相互作用较强。2007-2011年间，社会消费品零售总额等级规模维数变小，说明差异呈现扩大趋势，而非农业人口、GDP、一般预算财政收入等级规模维数变大，说明差异呈现缩小趋势。与其他都市圈相比，乌鲁木齐都市圈空间和规模结构还不成熟，中心城市首位性强，对周边城市带动能力弱，等级规模差异大，有待进一步优化。
李敏杰, 付青叶 . 乌鲁木齐都市圈城镇体系发展的分形特征研究[J]. 地球信息科学学报, 2014 , 16(2) : 242 -248 . DOI: 10.3724/SP.J.1047.2014.00242
The spatial and scale characteristics of metropolitan areas make an effect on the expansion of cities and the coordinated development between areas in a certain extent. Firstly, based on fractal theory, this paper used the cluster dimension and correlation dimension to analyze the spatial characteristics of the Urumqi urban system. Secondly, utilizing social and economic statistical data of 2007 and 2011, combined with the Zipf model of fractal theory, and through comparison with other Chinese metropolitan areas, this paper used grade-scale dimension to analyze the change of fractal characteristics related to grade-scale of the Urumqi urban system. The results showed that the Urumqi urban system has already formed the self-organization of space fractal characteristics. It presents a state of agglomeration, with Urumqi as the center. The cities within the system keep a close relation and strong interactions. The grade-scale difference of the total retail sales of social consumer goods showed a trend of widening, and the factor of the non-agricultural population, GDP and general budget revenue showed the opponent trend in 2007-2011. In all, through the analysis we can see that the spatial system of the Urumqi Metropolitan Area has been formed, though it's still in an immature condition. The center city of Urumqi plays an important role that it developments fast and strong itself, though, its leading role to the surrounding cities is weak and the radiation effects dose not act well. In short, the grade-scale and spatial structure need a further improvement and optimization so as to promote a coordinated regional development.
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