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中文摘要：
基于网络分析方法开展城市群地区功能联系的时空实证探索正成为学术热点。以京津冀城市群的功能网络为研究对象，采用2001、2009年的总部——分支机构企业数据，从生产性服务业、一般服务业、制造业等三个产业部类度量城市间的功能联系变化．并运用复杂网络方法分析了京津冀城市群空间网络的连接效率、出入点度、规模匹配性。研究发现．京津冀城市群内部不同价值区段的功能联系呈现出集聚与扩散同时并存的演化趋势：北京、天津通过生产性服务业的总部集聚主导了区域发展，但是其他城市的一般服务业、制造业也开始在高等级城市设立分支机构实现区位空间组合利润的最大化，基于此，研究提出了京津冀城市群区域发展的建议。
英文摘要：
The empirical spatial-temporal study on the functional relations in city regions by network analysis has become a prominent area. The paper takes the functional network in Beijing-Tianjin-Hebeiconurbation region as subject matter and uses data on enterprise headquarters and branches in 2001 and 2009, The research measures changes of functional relations among producer services, tradi- tional services and manufacturing. The connection efficiency, in-degree and out-de- gree, scale matching of Beijing-Tianjin-Hebei conurbation region spatial network are also analyzed by applying complex network methods. The analysis shows a tendency that aggregation and diffusion of urban functions coexist in different val- ue sections of Beijing-Tianjin-Hebeicity conurbation region, Beijing and Tianjin lead the regional development by aggregating headquarters of producer services, while other cities maximize their combined profits of space economy by estab- lishing branches of traditional services and manufacturing in higher-hierarchy cit- ies. Based on this result, suggestions are given on improving regional develop- ment of Beijing-Tianjin-Hebei conurbation region.
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