It was my understanding that dino, like other organisms, require some type of trace elements?
As far as I know, we'd have to call dino's carbon-based. I don't think they have requirements that are very different from green algae or even land plants. (Unlike diatoms, which we could call silicon-based.)
The cost of investigating the reason is a bit pricey.
But can a price be placed upon knowledge???
I think Iron and Silicates might be the two more likely candidates to be the "mystery limiter" in a case like yours.
Unfortunately ICP doesn't get Iron....but that means you might have to consider a cheaper option.
I know Seachem's Iron Multitest is seawater compatible and <$15....but I don't have experience using it. "Measures iron to less than 0.05 mg/L" for what it's worth. Same price and sensitivity range for their silicate test kit.
But what's even cheaper than that?
Reading! Reef Aquarium Water Parameters by Randy Holmes-Farley - Reefkeeping.com
I can't hotlink directly to the Iron and Silicate sections since it's still 1994 there , but both sections are worth reading!
Here are some excerpts from each section:
Silica
If diatoms are not a problem, then I suggest that many aquarists should consider dosing soluble silica. Why would I recommend dosing silica? Largely because creatures in our aquaria use it, the concentrations in many aquaria are below natural levels, and consequently the sponges, mollusks, and diatoms living in these aquaria may not be getting enough silica to thrive.
So in that article, Randy actually suggests dosing some silica on general principle – for the health of the tank.
Which sounds a lot like our angle with the N and P corrections, so I'd say this is worth experimenting with for someone willing to experiment.
Iron
Because of its short supply and critical importance, it is also subject to aggressive sequestration by bacteria and other marine organisms.
I guess this is why available dissolved iron is supposed to be pretty close to zero in a reef tank. Imagine the effect of carbon dosing (and the resulting bacterial bloom) on such a limited supply. Now re-read the article on my blog about re-oligotrophication (or just google that term). A system doesn't give up its nutrients easily once it has them.
Iron is not easy to measure at levels normally encountered in marine aquaria. It is also not easy to determine which of its many forms are bioavailable in seawater, and which are not. Consequently, aquarists should not target a specific concentration, but rather should decide if they want to dose any at all, and then use an appropriate dosage going forward.
Somewhat similar to the guidance on silica – could be healthy even though it's virtually impossible to test for.
I have to imagine that there is at least some silica and iron in the foods we feed, so that has to address some tank needs. But there are undoubtedly some organisms that depend on a dissolved source.
I will say there are some reefers testing the limits of no water changes on SPS dominant nano tanks.
For what it's worth...
I can't say I'm doing it for any reason other than lack of time, but I've done no water changes on my 100G system since the two 50% water changes during my chrysophyte outbreak. (If you recall..) If you discount those a little, then I can say I've done almost no water changes in I think about 4-5 years...since the end of my "water change a day..." thread. I dose DIY 3-part and have high-quality flake food in an auto-feeder....and no fish again. Corals are all still happy as can be – apparently (I guess) since things are stable overall, including very regular and complete nutrient inputs. I still don't knock water changes, but I don't wave a water change flag around either.