I'm generalizing to demonstrate a principle for brevity - so probably should be more specific with more detail - Basically its a lot from a variety of articles i read over the years + stuff that people posted here and other forums. Some details:
1) All are based on the principles of the Redfield ratio, can google the basic principle, or check it out here, for example.
www.sciencedirect.com
2) i don't mean that all organisms have the same fixed ratio - or that it really is a "fixed" one per se so i should rephrase - There are "sweet spots" where different organisms prefer or thrive in. here's one study done on an algae where they were exposed to different spectrums of the N/P ratio. Y is growth, X is time. diff dots = diff rations Square is the 16:1 Redfield ratio.
3) There's a few other ratios floating around, even in these forums, of different organisms, like one here:
I about died when Ryan read your name @FartyParty!! LOL! Also @WWC you guys sure know how to rock the coral deliveries! @revhtree Heh, all those years as a technical writer really paid off--i guess i gave them a quote they couldn't refuse. ;)
www.reef2reef.com
I do not have source for these numbers and i think at various times others have questions it too where the original thread (from 2017 i think, not the one i posted, i couldn't find the original one but do remember seeing it before) the original poster did put some source. For me however, what those numbers are exactly are less relevant than the general direction i'm seeing - ie, corals/algae are higher N to P, and the "meatier" things are low N high P
1) When there is an imbalance of NO3/PO4 - ie, high PO4 but no NO3 - In a closed system, this mathematically has to mean that what you put in is not matching what's absorbed/exported. Regardless if you believe different organisms have different "fixed" or even "sweet spot" N to P ratios for their absorption, the fact that you have a lot of P left but no N left suggests your tanks current inhabitants at least prefers a certain ratio of N to P that is not matching what you are feeding it - either you are feeding too much P, or not enough N.
2) Without understanding this, a typical relation for "high PO4" might be "go get a GFO" but is that really the correct method? do you really just are feeding too much P? or are you not feeding enough N? In either case, the underlying imbalance is not addressed, but is just masked. The latter will continue to starve your corals, while the former will lead to an arms race of increased external P control while not giving your tank a chance to establish natural high P absorbing biomes (whatever they may be, even if you don't subscribe the notion that a diverse biome would contain some organisms that are high P eaters which will flourish and act as natural check in a high P environment).
Whether or not that has true scientific backing i admit i do not know. I'm not a marine biologist nor have it read all the papers out there. at least this general understanding served as a guiding principle that have fit neatly in many of the common problems I faced and offered the right cause/effects that resulted in correct solutions. IE:
1) why fuge macro doesn't grow when there's no N but a lot of P, and after dosing N, P levels reduced and macro grew a lot
2) why new systems have more common P problems and why "keeping up with husbandry" and "maturing tank" over long term reduced P with similar feeding habits.
3) why systems that relied on external controls run into more problems later on and have to keep adding more systems, or run into problems when they take the external controls off
4) why certain foods, such as roid, or frozen cube shrimps, tend to raise P. esp in in a low P absorbing tank.
I understand there's a LOT more nuance and factors than what i mentioned above, but if there's anything that you believe differently from my general understanding above I'd love to hear you out. Always open to learning more/revise my current reefing theory.
Thx