I am not talking about rate of change during ascent/descent. I am talking about per foot of the multiple of pressure change (I really do not know how to say it correctly). We double the pressure in the first 33' while only tripling pressure (50% more) at 66'. I would suspect that the most significant physiological change is at the 0 --> 33' range. Keep in mind that it is still linear change per foot so again for an understudied event, what statistically shows a difference for a given depth? I suspect most of the damage is done from 0 --> 33' regardless of final depth. I also suspect that any depth limitation specifically addressing youth divers is arbitrary and based on limited information and assumptions.
Here is a good article (hope I can link it as it is a very relevant article) on the issues boulderjohn and nimoh are talking about. I think this area needs honest discussion and study. Over all, there are no specific depth limitations beyond normal Rec and Training, from PADI, after 12 yrs. Awareness of potential issues is also key and would indeed be a good education point from the agencies to parents of youth divers and youth students. Note that this article has one highlighted comment, to paraphrase - "There is insufficient medical evidence for or against youth diving. "
http://www.danap.org/DAN_diving_safety/DAN_Doc/pdfs/young2.pdf
I don't understand when you refer to the per foot pressure change (and by the way, that would be a rate of change). How would going from 1ata to 2ata in 33 feet be more detrimental than going from 1ata to 3ata in 66 feet? In other words, why would the distance matter to the human body? I think it would be the opposite, where the human body (including in children) can tolerate a certain amount of pressure, but at some point hit a limit where body parts succumb to the pressure.
The depth limits are arbitrary and probably has a safety margin applied to the original arbitrary limit. This is the same for all limits in diving. Doing a recreational dive to 135' for 5 minutes is unlikely to kill a recrational diver or even get them bent, because it is an arbitrary limit.
I agree that there is insufficient medical evidence for or against youth diving, there are just hypotheses against it. I think most arguments against youth diving centers more around emotional maturity, ability to focus and follow direction, etc.