Dr Deco:
This idea of deep stops is complicated since, to my knowledge, there have not been released the results of any controlled, laboratory tests.
While not ideal, the DAN Europe tests on different ascent profiles from 25 meters are illuminating.
The 5th through 11th articles on the DAN Europe
Medical Articles page are all about a series of tests on different ascent profiles from 82' 25minute + 82' 20 minute repetitive dives. A limited number of trials, not the profiles I would have chosen to test, and only done at one depth, but it is a set of data that is real.
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A simple review of the effect of deep stops on the various compartments of multicompartment dissolved-gas-only, aka Haldane or neo-Haldanian or Buhlmann, algorithm is Erik Baker's
Clearing Up The Confusion
About “Deep Stops”. While many may consider it to be a gross simplification of the problem, his article clearly compares what goes on in the various compartments on an ascent that goes directly to the 1st required decompression stop (or to the surface for an NDL dive) vs one that makes some short stops deeper.
It's all about balancing A) going shallower to offgass dissolved N2 vs B) staying deep to prevent bubble formation.
Eric Baker's graphs show that a direct ascent to the surface or first deco stop will drive the fastest compartments right to their limits. OTOH, judiciously adding in some relatively short deep stops will avoid driving the fastest compartments right up against their limits, while at the same time not excessively adding to the N2 loading of the slower compartments.
Simply by making the assumption that bubble vs no-bubble or DCS vs no DCS is a fuzzy and soft transition with respect to N2 loading (rather then the compartment M-values being a sharp DCS vs no-DCS dividing line) and acting appropriately comes up with more or less the same results that both anectdotal experience and more sophisticated dual phase models such as VPM come up with.
The crude but effective neo-Haldanian model, with the minor tweak of gradient factors, excels in terms of developing an understanding for the rationale behind deep stops, and for providing an intuitive feel for what a good ascent profile would be from any given dive.