ScatMan;5157117; said:
what does that have to do with the formula? nobody is arguing what you're saying.
That's one of unknowns that the formula doesn't take into consideration. The longer waste sit in the tank, the more nitrate produced. The OP assumed the nitrate increase at a constant rate of 10ppm per 3.5 days, and 20ppm per 7 days. Unless he takes actual test, that rate should be "x" amount per day.
Assume two tanks with same bioload, same filtration, same feeding schedule with no food left behind, same everything, start at 10ppm
If you do weekly 50% water change:
At the 7th day, fish will be exposed to nitrate of
10ppm + 7x
Once you do the 50% wc, nitrate will be at level of
5ppm + 3.5x, assuming wc removed 50% of everything.
If you do 25% wc, twice a week:
At the 3.5th day, fish will be exposed to nitrate of
10ppm + 3.5x
After you do 25% wc, nitrate will be at level of
7.5ppm + 2.6x, assuming wc removed 25% of everything
At the 7th day, fish will be exposed to nitrate of
7.5ppm + 6.1x
After you do the second 25% wc, nitrate will be at level of
5.6ppm +4.6x
Only after you do the 50% wc and the second 25% wc, the nitrate level of the first tank is lower than the second tank. However, the fish in the first tank is exposed to higher level of nitrate than the fish in the second tank. If you have time, continue that "formula" and find out what happen in 2nd week, 3rd week, and so on... Of course, that's still not mathematically proven, since there are many "assume" in that "formula"