基于分形Voronoi图的城市空间分布特征数据挖掘——以山西省为例

本文引入以城市中心性强度为权重的加权Voronoi图,结合城市空间分布特征与周长—面积分形维数,研究了山西省地级市2009—2013年城镇发展的稳定性和均衡性,探究城市空间分布特征的时空数据挖掘;提出基于中心性强度为尺度的分形维数,尝试探究山西省地级市中心性强度的分形特征,分析山西省中心性强度的变化。研究表明:山西省2009—2013年各地级市间影响范围差距有减小的趋势,空间影响范围呈现上下波动的态势,山西省东部城镇发展趋势较好,西部城镇发展态势较弱,由周长—面积分形维数可得:2009—2013年山西省整体发展态势较不稳定;本文提出的基于中心性强度为尺度的分形维数主要处于1到2之间。

Data Mining of Urban Spatial Distribution Characteristics Based on Fractual Theory and Voronoi Diagram Taking Shanxi Province as an Example

The fractual theory and an Voronoi diagram about Shanxi weighted by city central intensity is generated,as one of spatial data mining tools,to analyze spatial balance of cities in Shanxi perimeter-area fractal dimension to evaluate stability and balance of development of those cities.The author puts forward fractal dimension at the scale of city centricity intensity and analyses the fractal feature and the variation of city centricity intensity in Shanxi.Through the analysis,it is found that the difference of each city’s influential range is reduced,Western and eastern area in Shanxi are developed unevenly;It also reveals the scope of spatial influence by urban area is unstability.Thefractal dimension at the scale of city centricity i ntensi ty i s between 1 and 2.