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城市分形中心与占优标度区选择
引用本文:黄伟力.城市分形中心与占优标度区选择[J].地域研究与开发,2016(5):53-59.
作者姓名:黄伟力
作者单位:江西科技学院信息工程学院,南昌,330098
基金项目:江西科技学院自然科学基金项目( ZR12YB11, ZR13YB05,ZR14YB10);协同创新专项课题(XTCX201319)
摘    要:用回转半径法研究城市分形特征时,中心点位置的选择至关重要。以反映城市基础设施情况的兴趣点(point of interest,POI)作为基础数据,分析中心点位置对标度区识别的影响。将POI几何中心、重心、密度中心、中心城区几何中心和重心5种统计中心作为待选中心,给出辐射范围、核心密度与分形维数、中心漂移度等标度区相关指标,提出判断占优标度区的POI数量最大化原则。通过统计中心与地标中心标度区对比,确定城市分形中心和占优标度区。省会城市及直辖市标度区分析结果显示:统计中心各有优劣,占优中心总体上更倾向于POI几何中心和密度中心,地标中心有时优于统计中心;密度中心对应的占优标度区半径维数较低,若半径维数太低则容易陷入局部密度中心;中心漂移度指标表明可能存在更好的分形中心选择方案。

关 键 词:占优标度区  分形中心  回转半径法  兴趣点  半径维数

Selecting the Dominated Scaling Region for Fractal Urban Center
Abstract:The choice of the origin point for measuring radius dimension is critical in area-radius relationship method.Based on POI(point of interest) data, five types of statistical centers could be computed as candidate ori-gin points.They are geometry center, gravity, density center, geometry center and gravity in midtown.By measur-ing the number of POIs , scaling region for each center can be detected .Several metrics have been given for estima-ting the scaling regions, which include the radius of scaling region , the number of POI, central density, radius di-mension and drift .The maximization principle of the number of POI is proposed to choose dominated scaling region . It is better than the radius maximization principle in practice .By comparing scaling regions for five centers in Bei-jing, the scaling region for geometry center has the maximum number of POI .Experiments of major cities in China show the fractal center may be any statistical candidate center or a well-known place , but prefers to the geometry center or density center .Geometry center and gravity in midtown is often valid for some cities with poor symmetry . Most of radius dimensions for these cities are between 1 and 2.Among them, the radius dimension around density center is the minimum .The scaling region , whose radius dimension is less than 1, tends to fall into local density zone .Thus it is possible to avoid local density zone by checking scaling region with a small radius dimension .In ad-dition, nearly 20%of average drift means asymmetrical distribution is common in scaling region .It indicates that the better scaling region could be observed around an alternative center .
Keywords:dominated scaling region  fractal urban center  area-radius relationship method  point of inter-est  radius dimension
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