There is not a lot of aerobic work involved in jumping, however,
it does creep in in two ways. Firstly, a competition is likely to involve a
large number of jumps - it is not uncommon in high jump or pole vault to have
more than 10 attempts in a competition, and most long and triple jump events
will involve six attempts if you are doing well.
The other element is that you need to be "fit to train" - that is in order to
perform the other elements of a training regime for the jumps you need to
have a degree of aerobic fitness.