基于加权Voronoi图的山东省城市吸引范围研究
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摘要
城市吸引范围的大小反映了城市与外界的空间相互作用的强弱,其界定是城市空间范围研究的重要组成部分,对城市经济区划与城市规划有重要意义.该文选取来自山东省17个地级市市辖区的14个反映城市影响力的指标,通过主成分分析及数据变换的方法,得到各城市市辖区的吸引性强度.运用断裂点理论和加权Voronoi图相结合的方法,对各城市的吸引范围进行生成和界定.综合考虑城市与周边城市联系的密切程度,城市的经济水平、社会条件、发展潜力、劳动分工等因素,结合山东省经济板块的研究和山东省十二五规划,以县域为最小单元,将区域进行重新的整合和划分,确定了各地市的经济影响区.
The attraction scope of city reflects the strength of the interaction between the city and the outside world.It is an important part of the study of urban spatial scope,and it has important significance to urban economic regionalization and urban planning.This paper selects 14 indicators from 17 municipal districts of cities in Shandong Province,and the attractive intensity of each municipal district is obtained by the method of principal component analysis and data transformation.The attracting scope of cities is generated and defined,by using the method of the breakpoint theory and the weighted Voronoi diagram.The following factors are comprehensively considered in this paper:the intimacy level of connection between cities and surrounding cities,the economic level of cities,the social condition of cities,the development potential of cities,and the division of the labor.According to the 12 th Five-Year plan of Shandong Province,the district is reintegrated and divided with the county as the smallest unit,and the economic effects areas of all cities are confirmed finally.
The attraction scope of city reflects the strength of the interaction between the city and the outside world.It is an important part of the study of urban spatial scope,and it has important significance to urban economic regionalization and urban planning.This paper selects 14 indicators from 17 municipal districts of cities in Shandong Province,and the attractive intensity of each municipal district is obtained by the method of principal component analysis and data transformation.The attracting scope of cities is generated and defined,by using the method of the breakpoint theory and the weighted Voronoi diagram.The following factors are comprehensively considered in this paper:the intimacy level of connection between cities and surrounding cities,the economic level of cities,the social condition of cities,the development potential of cities,and the division of the labor.According to the 12 th Five-Year plan of Shandong Province,the district is reintegrated and divided with the county as the smallest unit,and the economic effects areas of all cities are confirmed finally.
引文
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[13]谷景祎,周廷刚,郭丽敏,等.基于断裂点理论与加权Voronoi图的京津冀地区城市影响范围研究[J].地理与地理信息科学,2014,30(1):65-69.
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[15]韩艳红,陆玉麒.基于时间可达性的城市吸引范围演变研究——以南京都市圈为例[J].人文地理,2014,(6):95-103.
[16]张婷,李红,丁嵩.多层级核心—边缘城市空间影响范围研究——以广东和广西为例[J].经济地理,2014,34(1):54-60.
[17]Dong P.Generating and updating multiplicatively weighted Voronoi diagrams for point,line and polygon features in GIS[J].Computers&Geosciences,2008:411-421.
[2]尹虹潘.对城市吸引区范围界定的理论分析.财经研究[J],2005,31(11):108-114.
[3]周一星.城市地理学[M].北京:商务印书馆,1999.
[4]张莉,陆玉麒,赵元正.基于时间可达性的城市吸引范围的划分——以长江三角洲为例[J].地理研究,2009,28(3):804-816.
[5]顾朝林,刘志红,万利国.济南城市经济影响区的划分[J].地理科学,1992,12(1):15-26.
[6]隆国强.确定城市吸引范围方法的进一步探讨[J].城市问题,1988,(1):12-16.
[7]郑国,赵群毅.城市经济区与山东省区域经济空间组织研究[J].经济地理,2004,24(1):8-12.
[8]侯凤波,刘秀霞.黑龙江省地级中心城市的吸引范围[J].内江科技,2008,(2):18-19.
[9]王新生,郭庆胜,姜友华.一种用于界定经济客体空间影响范围的方法——Voronoi图[J].地理研究,2000,19(3):311-315.
[10]闫卫阳,秦耀辰,郭庆胜,等.城市断裂点理论的验证、扩展及应用[J].人文地理,2004,19(2):12-16.
[11]庞宇,吕曹芳,罗永龙,等.基于加权Voronoi图的安徽省城市影响范围及经济区域划分[J].安徽师范大学学报(自然科学版),2007,30(5):593-598.
[12]范熙伟.加权Voronoi图矢量生成算法研究及其实现[D].西安:西北大学,2001.
[13]谷景祎,周廷刚,郭丽敏,等.基于断裂点理论与加权Voronoi图的京津冀地区城市影响范围研究[J].地理与地理信息科学,2014,30(1):65-69.
[14]郭丽敏.基于加权Voronoi图城市腹地界定方法的研究——以成渝经济圈为例[D].重庆:西南大学,2014.
[15]韩艳红,陆玉麒.基于时间可达性的城市吸引范围演变研究——以南京都市圈为例[J].人文地理,2014,(6):95-103.
[16]张婷,李红,丁嵩.多层级核心—边缘城市空间影响范围研究——以广东和广西为例[J].经济地理,2014,34(1):54-60.
[17]Dong P.Generating and updating multiplicatively weighted Voronoi diagrams for point,line and polygon features in GIS[J].Computers&Geosciences,2008:411-421.