r.mess computes the "Multivariate Environmental Similarity Surfaces" (MESS) in GRASS using R as backend. The MESS index was proposed by Elith et al (2010) and is also implemented in the Maxent software. The MESS approach can be described as follows (from Elith et al 2010): "The multivariate environmental similarity surface (MESS) calculation represents how similar a point is to a reference set of points, with respect to a set of predictor variables (V1, V2, ...). The values in the MESS are influenced by the full distribution of the reference points, so that sites within the environmental range of the reference points but in relatively unusual environments will have a smaller value than those in very common environments."
This module will also compute the individual environmental
similarity surfaces (IESS), which represents how similar a point is to
a set of reference set of points for each of the input variable. MESS
is then simply calculated as the minimum of its similarity with respect
to each variable.
The IESS can have negative values – these are sites where the variable
has a
value that is outside the range in the reference set. A negative MESS
thus represents sites where at least one variable has a value that is
outside the range of environments over the reference set, so these are
novel environments.
In addition to the MESS, which is the minimum(IESS), the r.mess
function also allows to compute mean and medium of the IESS layers.