  We numerically investigate a diffusion-reaction model of an ombrotrophic
peatland implementing a Turing instability relying on nutrient accumulation. We
propose a systematic and quantitative sorting of the vegetation patterns, based
on the statistical analysis of the numbers and filling factor of clusters of
both \textit{Sphagnum} mosses and vascular plants. In particular, we define the
transition from \textit{Sphagnum}-percolating to vascular plant-percolating
patterns as the nutrient availability is increased. Our pattern sorting allows
us to characterize the peatland pattern stability under climate stress,
including strong drought.
