30 7 Vol.30 No. 7 2010 7 ECONOMIC GEOGRAPHY Jul. 2010 :1000-8462(2010)07-1118 - 06 1990 1 2 3 1 1. 100101 2. 100049 3. 130012 Voronoi GIS 1990 Voronoi TU984.2 A 1 [1] 1.1 [2-8] 6 1 [2-6] x ij* = x ij-x j 1 [5] S j x ij* x ij j i x j S j j Rd [2] 2 V [9-11] Voronoi Voronoi SPSS Voronoi Voronoi 1990 V = Σa m F m 2 m = 1 2010-04 - 12; 2010-06 - 25 2008BAH31B06 40635030 KZCX2- YW- 321-04 k
7 1990 1119 V F m Voronoi a m Voronoi 3 Voronoi [1 10] [1] [7-8] d A = D AB / 1+ 姨 P A /P B 6 v = V-min A new_max A -new_min A + new_min A 3 7 max A -min A d v A d B A B D AB A B v P A P B maxa mina new_maxa new_mina 1.2 Voronoi 1.2.1 Voronoi Voronoi d A /d B = 姨 P A /P B 7 Voronoi 2 Voronoi 2.1 Voronoi [9] Pearce Voronoi ordinary Voronoi diagram [15] Voronoi Boots South Voronoi higher order multiplicatively weighted Voronoi polygons [16] Voronoi ( additively weighted Voronoi diagram ) Voronoi Voronoi Voronoi P i= i 1 2 n n w i i= 1 2 n n 2.2 [17-18 ] d p w p = 1 i w i1 d p i - w i2 i = 1 2 n 4 w i1 > 0 w i2 Voronoi w i2 =0 Voronoi /km 2 Voronoi 5 v p n i w = i 疑 疑 P d p p i < d p p i 疑 i = 1 2 n 5 i = j w i w j Voronoi 45.4 km 2 2.2.1 % 1.2.2 Voronoi Voronoi 1991 2007
1120 30 12 12 2006 1990 4.1121 2006 2.1072 1990 1 1 1990 2006 1 Tab.1 The central intensity and the change of ranking of the cities in Heilongjiang province 1990 2006 10.000 1 10.000 1 1 4.3108 2 5.8660 2 4.1121 3 3.1185 3 3.5448 4 2.6267 4 1990 3.1726 5 2.2238 5 2.6787 6 2.1072 6 2.6301 7 2.0365 7 2.4524 8 2.0329 8 Okabe Sadahiro 2.3190 9 2.0008 9 [19] Voronoi 1.4981 10 1.9538 10 1.1671 11 1.9326 11 1.0000 12 1.0000 12 125.39 1992 2.2.2 Voronoi Voronoi 1990 2006 1 1990 1990 138.31 2006 144.22 5.91 1990 94.12 2006
7 1990 1121 Voronoi 3 1993 2010 Voronoi 1 Voronoi 2 Voronoi Fig.1 The influential area of central cities based on weighted Voronoi diagram 1990 2006 2006 7 2 3 Voronoi Fig.3 The division of urban economic regions in Heilongjiang based on weighted Voronoi diagram Fig.2 3 2 The merged influential area of central cities based on weighted Voronoi diagram Tab.2 2 The planning of urban economic region in urban system planning of Heilongjiang province 1993 2010
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7 1990 1123 THE CHANGE OF URBAN ECONOMIC INFLUENCE REGIONS IN HEILONGJ IANG PROVINCE SINCE 1990 HUANG Jian - yi 1,2,ZHANG Ping - yu 3,LIU Yi 1 (1.Institute of Geographic Sciences and Natural Resource Research,CAS,Beijing 100101,China;2. Graduate School of the Chinese Academy of Sciences,Beijing 100049,China;3. Northeast Institute of Geography and Agricultural Ecology,CAS,Changchun 130012,Jilin,China) Abstr act: The work to define spatial relationship among urban economic influence regions is a quite difficult issue,but an important job to urban geography and urban planning. Because of the dynamic development of the urban economy,the urban economic influence regions will change with the development of city economic power. Based on the development trends of the urban economic influence region,making the division of the urban economic regions has an important significance. At first this paper analyzes the existing methods for the division of urban economic regions. Considering weighted Voronoi diagram s geometric particularity,the rationality for dividing up space and the solvability by computer,the paper calculates the central intensity of the cities in Heilongjiang province by using the factor analysis method in SPSS software, then establishes multiplicatively weighted Voronoi diagram based on the breaking points, taking the central intensity as vertex weight, and at last divides the urban economic influence regions in 1990 and 2006.From the central intensity of the city, we can found that the ranking of most cities have not changed a lot, but the ranking of Daqing has raised quickly. The result of the weighted Voronoi diagram division shows that the whole pattern of the economic influence region in Heilongjiang has not changed much,but the cities in the south of the Heilongjiang province have developed quickly,especially the cities along the railway of Suiman, and the influence regions of the cities in the south are expanding to the north gradually. This has a closely relationship with the economic development trends of Heilongjiang province, whilst in the local regions,the economic influence regions of some cities have changed dramatically, the urban economic influence regions of Daqing and Mudanjiang are expanding,while the influential regions of Qiqihaer and Jiamusi are shrinking, causing by the change of the city economic power.based on the factual situations of social-economic development in Heilongjiang province,the paper makes the division of urban economic regions of Heilongjiang province, in order to provide reference for decision-making in the future regional planning in Heilongjiang. Key words: urban economic influence region;factor analysis;weighted Voronoi diagram;heilongjiang 1984 E- mail huangjy84@163.com