You can take a look at e.g. following papers (there are many like these) describing the applications of Bayesian stat in plant breeding, where it is usable in multivariate statistics like cluster analysis.
1- A Hierarchical Bayesian Estimation Model for Multienvironment Plant
Breeding Trials in Successive Years.
by: Diego Jarquín, Sergio Pérez-Elizalde, Juan Burgueño, and José Crossa*- : Crop Science Journal.
2- Bayesian Multi-Trait Analysis Reveals a Useful Tool to Increase Oil Concentration and to Decrease Toxicity in Jatropha curcas L.
Vinícius Silva Junqueira, et al...Published: June 9, 2016