That's the thing about roofs on atmospheric tanks - they are there basically to stop the rain getting in so as long as they continue to do that then they are OK. Only if the walls are damaged as a result or the roof buckles due to wall damage / movement does it need to be a concern. There is a difference between distortion and buckling. One way maybe is to look at the maximum deformation from flat over the distance of the distortion. If this is more than 10% depth to length then you might have a problem, anything less than that and it should be Ok, especially if it is a gentle curve.
You could also apply the infamous FGT or Fat Guy Test. If you get one of your more stoutly built colleagues (or may be two of them) to stand on the up raised bit and it flexes down then it's OK. If it stays there then think about replacing it or strengthening it...
I don't think there are any hard and fast rules about this as one persons "buckling" is another's small deflection. The roof structure is almost irrelevant to the safety or strength of the tank, more about the safety of anyone walking on the roof.
An experienced tank repair company would probably give you an inspection report, especially if you paid them, but bear in mind they make money by repairing tanks so...., but at least you would have a written report.
Any pictures for people to comment on would probably generate some interest, i.e. whether people think it's a "buckle" and needs repair or not.
My motto: Learn something new every day
Also: There's usually a good reason why everyone does it that way