Abstract:

Based on the data of cooperative invention patents, the innovation connection network of the Yangtze River Delta was constructed at the prefecture-level and county-level. Social network analysis and computer simulation methods were combined to evaluate the structural toughness of the innovation network of the Yangtze River Delta at different scales from the static and dynamic perspectives. The results show that: ①At the prefecture-level, the density of innovation network steadily increases, and the high-intensity link cities belong to the 1-hour high-speed rail travel circle; the density of innovation network at the county-level is low,and the innovation relationship between the geographical districts inside the central city is relatively close;②At different scales, the innovation network of the Yangtze River Delta has an obvious hierarchy and disassortativity, and the agglomeration and transmission of the network improve continuously, while the agglomeration and transmission of county-level network are weaker than that of prefecture-level network;③Under random attacks, both prefecture-level and county-level innovation networks have strong resilience, while under deliberate attacks, the networks are more vulnerable. Attacks based on weighted proximity centrality and weighted intermediate centrality have a higher impact on network connectivity and transmission than attacks based on weighted centrality, under different attack strategies, the change of network transmission is more flexible with the change of the proportion of failed nodes; ④The failure of nodes with higher weighted centrality has a priority impact on network transmission, and the negative correlation between the overall network efficiency after node failure and the weighted intermediate centrality, and the weighted proximity centrality is stronger than that of the weighted degree.

Key words: Yangtze River Delta, innovation network, network resilience, measure, deliberate attack

摘要：

基于合作发明专利数据构建地级和县级尺度下的长三角创新联系网络，结合社会网络分析、计算机仿真模拟等方法从静态和动态视角对不同尺度下长三角创新网络结构和韧性进行评估，结果表明：①地级尺度下的创新网络密度稳步提升，高强度联系城市分布在1小时高铁出行圈范围内；县级创新网络密度偏低，中心城市内部中地理邻近的市辖区创新联系较密切。②不同尺度下长三角创新网络具有明显的层级性和异配性，网络的集聚性和传输性均不断提升，县级网络的集聚性和传输性弱于地级网络。③随机攻击下地级和县级创新网络均具有较强的韧性，蓄意攻击下网络较为脆弱，按加权接近中心度、加权中介中心度排序的攻击对网络连通性和传输性的影响优先于按加权度值攻击；不同攻击策略下，相应于失效节点比例的变化，网络传输性的变动更富弹性。④加权中介中心度较高的节点失效对网络传输性产生较大影响，节点失效后整体网络效率与加权中介中心度、加权接近中心度的负相关性强于加权度值。

关键词: 长三角, 创新网络, 网络韧性, 尺度, 蓄意攻击