For AG, what has he done to develop/prove etc, his version of ratio deco? How does it differ from any other versions of ratio deco? How did they develop/prove their version?
I can give a partial answer about the differences.
Back when I was in UTD and arguing about things, I was particularly concerned about two aspects of the UTD Ratio Deco. One was the S-Curve, which I thought was nuts. I read the document on which that "oxygen window" theory was based, and my immediate reaction was WTF? When you analyze the only small section in which it appears, you see that the conclusion is totally
ex nihlo--the conclusion is
not derived from the preceding data. I argued strenuously against it, and I was finally mollified by being allowed to straighten out the curve a little on our diving. The second reason was the belief that there was no need to take altitude into account in dive planning. AG said altitude did not matter, and when I asked him the basis for that belief, he said that he knew it did not matter because he dived at Lake Tahoe using straight RD, and he was fine. (I was doing most of my deco diving at altitude, and I was very concerned.)
At that time, someone put me in touch with Jarrod Jablonski, and he and I had a very nice and informative exchange regarding the GUE version. He admitted that the theory on which the S-curve was based now looked to be wrong. He said they were keeping it, though, because it had been working in the past. (I have since been told it has been dropped.) He said that the origin of RD for GUE was based on DecoPlanner. When you use a program like that, you usually make contingency plans in case you deviate from your dive plan. They noticed that they could predict contingency plans with reasonable reliability within a certain range by using a mathematical construct. The purpose was to use this mathematical construct to be able to recreate accurately what would have been created by DecoPlanner. (The mathematical construct they use is different from the one UTD uses, but I can't tell you how.) As for altitude, he said they had never tested RD's ability to recreate a valid deco profile at altitude, so he could not recommend using it. He said it seemed to me you would have to be increasingly more conservative as altitude increased.
I don't know if UTD still uses the S-curve. When I took the official class, AG knew I had been raising a stink about it, and he, too, said the theory was suspect, but he came up with two other reasons to keep using it. I don't remember either one. I don't know of any other changes that may have taken place in the years since I dropped out.