Methodologies that cannot capture temporal characteristics are known as static methodologies , which mainly include quantitative risk assessment-based methodologies , risk index methodologies , and static graph models . Over the past few decades, many acceptable static methodologies have been developed for vulnerability analysis and risk assessment . These static methodologies aim to provide merely a snapshot of regional risk distribution or spatial accident evolution process . However, the time-independent analysis results may not fully satisfy the requirements of risk management, as the modern CPI system takes significant characteristics of "dynamic" . Static methodologies are limited by the inability to update the analysis results with time for emerging conditions .