Air transport systems are highly dynamic at temporal scales from minutes to years.This dynamic behavior not only characterizes the evolution of the system but also affect the system’s functioning.Understanding the evolutionary mechanisms is thus fundamental in order to better design optimal air transport networks that benefits companies,passengers and the environment.In this review,we briefly present and discuss the state-of-the-art on time-evolving air transport networks.We distinguish the structural analysis of sequences of network snapshots,ideal for long-term network evolution(e.g.annual evolution),and temporal paths,preferred for short-term dynamics(e.g.hourly evolution).We emphasize that most previous research focused on the first modeling approach(i.e.long-term) whereas only a few studies look at high-resolution temporal paths.We conclude the review highlighting that much research remains to be done,both to apply already available methods and to develop new measures for temporal paths on air transport networks.In particular,we identify that the study of delays,network resilience and optimization of resources(aircraft and crew) are critical topics. Air transport systems are highly dynamic at temporal scales from minutes to years. This dynamic behavior not only characterizes the evolution of the system but also affect the system’s functioning.Understanding the evolutionary mechanisms is thus fundamental in order to better design optimal air transport networks that benefits companies, passengers and the environment. this review, we briefly present and discuss the state-of-the-art on time-evolving air transport networks. We distinguish the structural analysis of sequences of network snapshots, ideal for long-term network evolution egannual evolution, and temporal paths, preferred for short-term dynamics (eghourly evolution) .We emphasize that most previous research focused on the first modeling approach (ielong-term) only only a few studies look at high-resolution temporal paths.We conclude the review highlighting that much research remains to be done, both to apply already available methods and to develop new measures for temporal paths on air transport networks.In particular, we identify that the study of delays, network resilience and optimization of resources (aircraft and crew) are critical topics.