The nitrogen cycle happens because of the bacteria in your system.
1) You feed the fish.
2) Fish digest food and poop. Among other things, poop contains ammonia (NH3).
3) In an aerated environment (like the water in your tank and the surface of your live rock), one set of bacteria in your tank convert the ammonia to nitrite (NO2).
4) In an aerated environment, another set of bacteria convert the nitrite to nitrate (NO3). If you only have an aerated environment this is where the cycle stops.
5) In an unaerated (anoxic) environment a third set of bacteria can convert nitrate to nitrogen gas, which easily comes out the water to the air you breath. In a tank the center of your LR and the bottom of the deep sand bed are unaerated, or at least the nitrate diffuses into these areas quicker than the oxygen to the same effect. Basically the bacteria in the anoxic areas are using the oxygens in the nitrate (there are three in NO3) to breath since elemental oxygen is not present.
Other mechanisms for nitrogen removal are algae growth (plants are roughly 100:10:1 parts Carbon:Nitrogen
hosphorus). So when your macro grows, it must use all nitrogen and take it out of the water. Then to get the nitrogen out of your system you must harvest the macro out of the tank to the trashcan. If your fish eat the macro you are back on step one of the cycle.
The additives that ouling is describing are carbon sources for your bacteria. If there is a lot of carbon, then the bacteria require more oxygen. In the anoxic zones the oxygen comes from nitrate, so more nitrate is used. The only problem would be if you don't really have any good anoxic zones. You want nice thick, POROUS, live rock (it should feel really light compared to its size) and a deep sand bed (harder for the oxygen in the water to diffuse).
One way to reduce the nitrates would be to reduce your aeration making more anoxic conditions in the tank. Unfortunately, your fish like to breath oxygen, so this is not a good idea. An external nitrate reactor is basically a breeding ground for bacteria with a low oxygen concentration (anoxic) that promotes nitrate reduction to nitrogen gas. Pump some water through a closed loop, through the reactor, and the water comes back with less nitrate.