That's an interesting question. I am guessing that you mean the amount of organic carbon needed per units of nitrogen or phosphorus removed?
Exactly!
Carbon dosing is likely inspired by the carbon dosing success in aquaculture. Neither the scientific work nor the aquaculture practitioners seemed to have taken the empirical approach of slowly increasing the amount of carbon dosed to see a result. They calculated the dose based on the amount and protein content of the feed. In one study, the calculated amount of carbon was doubled to take into account organic nitrogen in the sediment.
In aquaculture, the aim is to have ammonia consumed before it can be oxidized to nitrate, so, there does not seem to be any investigations concerning preexisting nitrate reduction, though the study that doubled the carbon dose to account for sediment nitrogen seems like it could apply to the preexisting nitrate situation.