Nikkei Press estimated the market share of international air cargo services in Japan in 2015. According to it, Nippon Express has the biggest share (21.5%). Last year (2015) 0.9 million tons of cargo were dispatch from Japan.
Figure: 2015 Market Share of International Air Cargo Service in Japan
|Shipping agency||Market share (%)|
|Kintetsu World Express||13.1|
Source is Nikkei Sangyo Shimbun newspaper, the article on 2016 July 25th.