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• HSRN is modeled as a two-layer network based on high-speed trains running in it. • Space-time failure effects of high-speed trains on HSRN robustness are investigated. • A method assessing robustness is proposed from function feature and topology feature. • Travel time and passenger flow are taken into account in the methodology. High-speed rail (HSR) has become a critical infrastructure and even has formed a network in some countries, which plays an increasingly significant part in the modern transport system and exerts increasingly obvious impacts on regional economic activity and human mobility. Although its interruption may cause serious consequences, researching its robustness doesn't attract attention until recent years. Based on previous researches on the issue, this paper proposes a comprehensive method to assess the robustness of high-speed rail network (HSRN) by combining the network function features with network topology features and modeling HSRN as a two-layer network based on the high-speed trains running in the network, in which the travel time and passenger flow are taken into account. Finally, taking China's HSRN (CHSRN) as a case study, this paper investigates the failure effects of HSR stations and high-speed trains on the robustness of CHSRN, especially the space-time failure effects of high-speed trains at three typical HSR stations. Results reveal that the failure effects of trains at the selected stations on the performance of CHSRN are limited, and the failure effects of trains at three typical stations on the performance are different as the different failure time, which is beneficial to prioritize the decisions on maintenance resource allocation and prepare emergency response plans. [ABSTRACT FROM AUTHOR]

• A method to assess the vulnerability of PTS comprising subsystem is proposed. • Critical areas of PTS are identified based on running timetable and position data. • Differences of vulnerability or critical area between subsystem and PTS are revealed. • A case of high-speed rail and air transport coupling system in China is researched. The public transport system (PTS) consists of different types of transport subsystems, such as high-speed rail (HSR), air transport (AT), conventional railway, expressway and waterway in a state, which exerts significant impacts on distribution of demographic and economic activities. And its interruption or failure may cause severe social and economic disruption. So the vulnerability analysis of the system attracts an increasing attention. However, most of previous researches mainly concentrate on the vulnerability modeling and analyzing of a single subsystem, neglecting the simultaneous interruption of components, and less considering the complementary effects of other subsystems from systematic perspective and the geographic interdependency among components. For trying to fill these gaps, this paper proposes a method to analyze the vulnerability of PTS composed of two or more transport subsystems and identity the critical area within the system based on the data of running timetable and position coordinates. Finally, taking HSR and AT coupling system in mainland China as a case study, we investigate the differences of vulnerability and critical areas between individual subsystem and overall system. Results reveal that the vulnerability variations and the critical areas distribution of the system are different from these of the subsystems. The research also finds that whether a component is critical depends not only on the system's feature, but also on the component's feature, whether an area is critical depends on economic development and population density of the area. These findings are beneficial to prioritize the plan, budget and maintenance of PTS, and prepare emergency response plans. [ABSTRACT FROM AUTHOR]