合理地界定区域中城市空间吸引范围,对于区域规划与统筹区域发展具有重要意义。通过构建反映城市实力的指标体系,利用因子分析法测算1990、1996、2000、2005和2009年珠三角9个地级市综合实力分值,以此修正断裂点模型中单一城市规模指标,分别运用断裂点模型和基于扩展断裂点模型的加权Voronoi图方法,划分了珠三角9市5个年份的理论空间吸引范围,并在图上清楚地表现出城市问分界线的轨迹,据此揭示了珠三角城市空间吸引范围的空间分异特征和变化规律。研究还发现,基于扩展断裂点模型的加权Voronoi图克服了断裂点理论确定城市间吸引范围界线时的任意性和盲目性,划分结果更符合实际。
Delimitating reasonably urban space attractive scope is significant to regional planning and regional development as a whole. By establishing an evaluation index system of the city comprehensive power, this paper uses factor analysis method to calculate the comprehensive power of nine prefecture-level cities of Pearl River Delta in 1990, 1996,2000, 2005 and 2009, respectively. Then using the city comprehensive power instead of single city size index in breaking point model and taking the square root of each city' s comprehensive power as vertex weight, the theoretic space attractive scopes of nine cities in five years are divided by using improved breaking point model and weighted voronoi diagram based on expanded breaking point theory respectively, and the track of the dividing line among the cities is presented distinctly. According to the division result, the features and change laws of spatial differentiation of the city space attractive scope of Pearl River Delta are revealed. The authors find that the delimitating result approached from weighted voronoi diagram based on expanded breaking point theory is closer to the reality, because it avoids the randomicity and blindness in dividing attractive scope boundaries among the cities.