I followed the steps for pre-processing of 16S by CLR-transformation of TSS abundance.
If I wanted to compare the PCA with the results for beta-diversity, does it make sense to compute for the beta-diversity (eg, Bray-Curtis) on the clr-transformed abundance? Or should I compute it on the untransformed relative frequencies?
Regarding the Bray Curtis distance, it does not make sense for compositional data. You can refer to this article and in particular Figure 2 that recommends using a CLR transformation with PCA (Aitchison distance).