Growth rates are driven by the nitrogen source used and the supply rate of building materials. When using nitrate as a nitrogen source growth rates are slowed down +- x2 x8 depending on the organism using it.
If algae or and other photoautotrophs grow fast they have the availability of ammonia-nitrogen to grow. Increasing the nitrification capacity will slow down photoautotrophic growth. A normal nitrifying biofilm may remove +- 15% of the total nitrogen processed by denitrification which means in total less nitrogen will be available for growth.
A nitrifying bio-filter using a substrate of elemental sulfur for the growing biofilm may remove >80% of total nitrogen processed. ref:
http://www.baharini.eu/baharini/doku.php?id=nl:badess:bades_bio_filter#het_zwavelkolommen_systeem
Increased phosphorus availability does influence coral calcification, the calcification rates are increased if enough CO3 is available. ref:
http://www.baharini.eu/baharini/doku.php?id=nl:makazi:chemie:calcificatie
Is has been shown insufficient phosphorus supply will harm corals after a short period of time, insufficient nitrogen supply will harm corrals only after a much longer period.
It has been shown phosphorus starvation is one of the main causes of coral bleaching and dead. It has been shown this occurs during periods of increasing growth rates ( increasing temp or and high DOC availability) supported by high nitrogen availability. ref:
http://www.baharini.eu/baharini/doku.php?id=nl:makazi:theorie:koraalverbleking An aquarium may be subject to temperature and DOC fluctuations and changes. I try to keep the nutrient and DOC reserves low but available. To avoid the nutrient reserve may become responsible for phosphorus starvation and phosphorus may become the limiting factor for growth I try to keep the nitrogen reserve low enough, not to exceed 9x the phosphate reserve in weight, which means if 0.2 ppm phosphate max +- 1.8ppm nitrate.