Why do people, particularity boxers, throw punches into the air while running? Is there a reason and is there a name for this?
Throwing punches in the air is usually called shadow-boxing, sometimes you see Boxers do it in front of a mirror. The purpose of shadow boxing is conditioning and practicing technique (if done in front of a mirror).
Shadow boxing during running can have three purposes, first it might be for loosening up muscles that start to teghtening up during running and the second one is simply for conditioning and the third reason might be just practicing throwing punches while moving forward.