Having lived in South Florida and the Keys growing up, I started diving at 12 and had more than 200 dives by the time I was 15, most in the 30 to 60 FT range but some deeper than 110 FT.
During that time I never had any diving "issues" and was often treated like an adult diving buddy by other divers. I can also assure you that "growth problems" never occurred in my case. In fact, if I'd have been smaller at 15, I probably would have had a lot more dates when I was 25, LOL.
During my time as an active instructor, I certified more than 50 "kids" age 11 to 17. The single 11 year old I certified was probably one of the most natural divers I ever instructed and I actually received special permission from Walt Hendricks at NAUI to certify him more than 9 months before his 12th birthday (at the time, 12 was the cut off age). In most cases, 12 years old was my minimum age, just because of size and maturity.
Almost all the kids I certified (including the 11 year old) did a 6 dive certification "profile." 2 dives in a training lake, 2 ocean dives in 30 to 40 FT of water, 1 wreck dive at 60 FT and one "tower" dive (an offshore structure) at 45 FT (all from a boat). On the final "tower" dive, each of them did a buddy breathing ascent (octopus and then single regulator sharing), followed by a simulated OOA swimming ascent. Every kid that got to that point always passed with flying colors (BTW, this stuff was all allowed using 1982 standards).
So, YES I'm a firm believer in kids diving. I recently trained both of my younger nieces and one of the girls routinely dives with me in 60 to 80 FT of water. Because of our size difference, I usually have another adult in our buddy team or dive with a group (see pics
here). She will be diving the U-85 with us this summer in 110 FT of water. Last summer I started two of my nephews (6 and 7 year old boys) in the pool (actually in the hot tub first) and both now LOVE spending time underwater. The one boy has already figured out buoyancy control and how to "hover" by just watching me. I know adults that can't do that!
IMO, the depth and "stress" of a dive depends on what the kid can handle. Young children (10 and younger), pool only. 11-12 and 13, probably between 40 and 80 FT max depth depending on size and maturity. 14 and above, sport diving limits depending on the child. Keep in mind, this is OPINION, NOT standards. NEVER push a kid and ALWAYS make certain they can handle an emergency appropriately (this is why I like a 2 adult one child team). Also, as a diving parent or relative, never forget that YOUR responsibility drastically increases when diving with a kid compared to diving with another adult. I've seen adults who sometimes forget this and it can very quickly become problematic even in low stress conditions...