I get asked this question a lot. And I can never answer it. The suggestions posted about testing are along the lines of what I usually suggest to the asker. Species of tree, soil condition, mulch, and drainage all heavily weigh in.
I think in situations of perfect drainage you can't overwater at all. But you might leach nutrients and waste water. Think hydroponics.
If drainage is poor, overwatering is a disaster for most tree species.
Checking is the only thing one can do. If that is not possible to do all the time, at least assess what the soil tends to do at that loc during rain free periods and come to a reasonable conclusion about how much water needs to be added based on what is learned by that effort. In essence, create your own guidelines for that location.