On 2019/08/10 17:04, Robert Helling wrote:
Willem,

On 10. Aug 2019, at 16:10, Willem Ferguson <willemfergu...@zoology.up.ac.za <mailto:willemfergu...@zoology.up.ac.za>> wrote:

An interesting alternative, Robert. I am not happy with the deviation at 1.5 and 1.6. One would have to check what the effect of these two points are on the power curve. What is the effect on the overall fit of the power curve if one omits those two points? What of a 3rd order polynomial that could in principle accommodate the inflection at 1.4? I am not averse to a mathematical solution because the linear interpolation also causes some inaccuracy.



here is the same on a log scale:



I would not be happy to fit this with a line for all points including the last two. Rather, I would use a new line for the last three points (and extrapolate that) for values above pO2=1.5bar.


Robert

Robert, I think we are making good progress here. The only real remaining question is what to do with pO2 values outside of the domain(s) of the function(s) used. My feeling is that the approach with the least error is to at least use a fixed value, e.g 1.65 for pO2 values outside the domain. The CNS toxicity above 1.65 is highly unlikely to be less than that for 1.65. It is in fact expected to be more. I am not sure that omitting it is appropriate. I am worried about decompression at 6m which is right on that limit and which (at least in my case) often varies between 1.45 and 1.7, especially in the sea.

I am quite please the way this discussion has gone.

Kind regards,

willem



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