Abstract: As countries around the world pay more attention to the carbon emissions in container transportation, zerocarbon routes have attracted many attentions as an innovative way to reduce carbon emissions. The container transportation process can be analyzed in the form of complex network topology. Although the addition of the zerocarbon route cannot change the structure of the shipping network, it has a certain impact on the container transport network due to the unique nature and the role of the port played on the zero-carbon route. The container transport network model including zero carbon routes is developed based on the actual data of ports. Three indicators: network efficiency, maximum connection subgraph scale and green port invulnerability index are proposed to measure the invulnerability of the network. Deliberate attack is chosen to trigger network cascade effect by simulation experiment. The impact of capacity parameters, green port number and load distribution coefficient on invulnerability of container transport network is analyzed. The results show that the addition of zero-carbon routes has a great impact on the invulnerability of the container transport network. When 25% of ports are green, the three aspects of network invulnerability can be balanced, including global network efficiency, green port resilience index, and maximum connectivity subgraph size. When the load distribution coefficient is 4, the invulnerability of the container transport network can be improved, and the impact caused by the addition of zero-carbon routes is reduced. After the important nodes are attacked, the network efficiency and the maximum connection subgraph scale are both reduced greatly

Key words: water transportation, zero-carbon route, invulnerability, container transportation network, cascading effect

摘要： 随着世界各国对航运碳排放的重视，零碳航线作为减少碳排放的创新方式备受关注。集装箱运输过程可以利用复杂网络拓扑的形式呈现，虽然零碳航线的加入不会改变航运网络的结构，但由于零碳航线上港口的独特性质和作用，会对集装箱运输网络产生一定影响。本文根据港口实际数据构建引入零碳航线的集装箱运输网络模型，以网络效率、最大联通子图规模、绿色港口抗毁性指数这3个指标衡量网络的抗毁性能。通过模拟实验选择蓄意攻击触发网络级联效应，分析容量参数、绿色港口数、负载分配系数对集装箱运输网络抗毁性的影响。结果表明，零碳航线的加入对集装箱运输网络抗毁性能影响较大；25%的港口为绿色港口时，能兼顾网络的三方面抗毁性能，包括网络全局效率、绿色港口抗毁性指数和最大连通子图规模；负载分配系数为4时能够提高运输网络的抗毁性能，削弱零碳航线加入造成的影响。重要节点受到攻击后，网络效率、最大联通子图规模均大幅度下降。

关键词: 水路运输, 零碳航线, 抗毁性, 集装箱运输网络, 级联效应