Calm down all
A look on the photo in post #20 reveals a fairly prosperous fish only tank with a lot of algae eating fish
The fish composition is the cause of the algae-free environment even though both phosphate and nitrate are high.
I would
not take away any fish at the moment. It is not the fish themselves that excretes ammonium and phosphate - it is when you feed the fish they excrete surplus nitrogen through the gills as ammonia and phosphates and organic phosphorous when they poop. The amount of surplus N and P is depended mostly of how much you feed. Cut down the daily feed with 50 % The tangs will consume more algae if you do not feed them with to much external food. The system have been working for 4 years plus and looks as good as it do - there is a huge risk that it will turn downhill if you doing the wrong things too fast.
What I would do if I own that aquarium is to keep the fish - they will not die of these PO
4 and NO
3 values. Cut the daily food with at least 50%. Do 25 % WC every second day until your NO
3 concentrations is below 25 ppm. At this moment you can get some urchins and if they going well an control your algae growth - you can start to switch your fish (if you want) You can already now test corals like sinularia and hairy mushrooms. Place them high. I would also
not run any GFO, no organic carbon (read NoPoX) or maybe not even run active carbon. Active carbon (that is what you are using now) do not affect NO
3 concentrations but it will take away toxins and yellow substances - your water will be more clear. For the moment WC is the only way to diminish both PO
4 and NO3 in an equal way. All the others will be like cake on cake and you will risk that anyone of them will go too low and start a dino or cyano outbreak (or be unbalanced - with risk for the same result)-
When you have get down the PO
4 and NO
3 till lower level - you can change your strategy and try with GFO and organic carbon in order to keep the concentrations there you want them - especially if you want to introduce hard corals. I´m not a friend of WC - it was 2.5 years since my last WC in my own aquarium - but in the situation you are in - frequent water changes is the easiest and most safety way of reducing your nutrients
I was asking for the nitrite concentrations because high nitrite levels can give false nitrate readings.
My advice' s is rather contrary to most advises in this thread - it will be your job to sort out what to do.
Sincerely Lasse