  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-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 that can
benefit of temporal network analysis.
