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中文摘要：
确定城市经济影响区域的范围是一项十分复杂的工作,在区域规划和城市规划中有着重要的理论和实际意义。在分析目前划分城市经济区影响范围方法的基础上,利用因子分析方法来计算城市的中心性强度,应用扩展后的城市断裂点理论和倍增加权Voronoi图相结合的GIS空间分析方法,分析了黑龙江省中心城市自1990年以来的城市经济影响区的范围变化。研究发现：黑龙江的城市经济区影响范围的整体格局未发生明显变化,但南部地区城市发展态势较好,影响范围有北扩趋势;大庆和牡丹江城市经济影响区的范围有所扩大,齐齐哈尔和佳木斯的影响范围相对缩小。
英文摘要：
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 make
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