I think I get what you’re trying to do – I’ve tried something like this myself. You want to do a piecewise pearson correlation on every combination of taxons, so you can find which ones rise/fall more closely with each other. Here’s an example of what happened when I tried that on a bunch of my data::
See how some taxa are 100% correlated with each other? Could be that they are perfectly joined: one exclusively eats something that the other exclusively produces. Or could be that uBiome simply goofed and is labelling as separate two things that are really the same.
I played with this a long time and long-story-short, I didn’t find convincing reasons why many pairwise combination would be interesting. More likely it’s a whole cluster of taxa that rise/fall with one another, and to do that you’ll need regression or a machine learning or somesuch more complex correlation algorithm.
Incidentally, here are the correlations I calculated for your data: