A special issue in Natural Hazards and Earth System Sciences (NHESS) has been published on methodological innovations for analysing and managing compound risk and multi-risk, including climate-related and geophysical hazards. It emphasises the need for comprehensive management approaches to address the increasing complexity of disaster risk and climate change. The issue showcases advances in statistical methods, physically based models, and multi-risk system analysis. The most recent inclusion by Lannacone et al., (2024) presents a new methodology for simulating multi-hazard events and their interactions over system lifespans, facilitating multi-hazard life-cycle consequence analysis. The proposed simulation-based method can be used to estimate potential repair costs, downtime, and casualty rates for life cycle consequence analysis, enabling better preparation for the combined effects of multiple natural hazards on important structures or systems.