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Capacity measured in available seat kilometres grew 6.4 percent compared with the year-earlier period, IATA said.
"The strong first quarter provides healthy momentum heading into the peak travel period in the Northern Hemisphere," he said.
In second quarter, however, rising costs and in particular higher fuel prices will likely moderate any boost in demand that has come from lower fares, IATA Chief Executive Alexandre de Juniac said.
European carriers Air France-KLM and International Group Airlines are expected to provide an indication of summer bookings when they publish quarterly financial results on Friday.