Thanks Antonio! That was an excellent explanation! Especially the idea of doing an hierarchical heatmap is really good. I will try to focus on that. That's really interesting, that alpha- and beta-diversity and even OTUs only refers to species level. But nevertheless, is it able to construct phylogenetic trees only having data on the phylum level? Or calculate any kind of "metric distances" based on the taxonomic composition/diversity?
But thank you very much for your really detailed answer. This helped me a lot!