The accident models are divided into three types: Sequential, epidemiological and systemic. The systemic accident model is applicable to accidents in the second classification quadrant, which includes nuclear power plants, chemical plants, space missions, airlines and airports. This chapter aims to find the similarities and differences between the two types of accident models by applying them to an actual marine accident published by the Marine Accident Investigation Branch. The accident investigation report into the capsizing and sinking of the cement carrier CEMFJORD was analyzed using processes in both the Risk Management and Quality Management Process and Systems-Theoretic Accident Model and Processes models. P. Underwoods and P. Waterson stress the importance of the systemthinking approach in accident analysis in modern socio-technical systems. The epidemiological accident model is applicable to accidents in the first classification quadrant; this category relates to marine transport, rail transport, power grids and dams.