W. Myers et al., ECHELON APPROACH TO AREAS OF CONCERN IN SYNOPTIC REGIONAL MONITORING, Environmental and ecological statistics, 4(2), 1997, pp. 131-152
Echelons provide an objective approach to prospecting for areas of pot
ential concern in synoptic regional monitoring of a surface variable.
Echelons can be regarded informally as stacked hillforms. The strategy
is to identify regions of the surface which are elevated relative to
surroundings (Relative ELEVATIONS or RELEVATIONS). These are areas whi
ch would continue to expand as islands with receding (virtual) floodwa
ters. Levels where islands would merge are critical elevations which d
elimit echelons in the vertical dimension. Families of echelons consis
t of surface sectors constituting separate islands for deeper waters t
hat merge as water level declines. Pits which would hold water are dis
regarded in such a progression, but a complementary analysis of pits i
s obtained using the surface as a virtual mould to cast a counter-surf
ace (bathymetric analysis). An echelon tree is a family tree of echelo
ns with peaks as terminals and the lowest level as root. An echelon tr
ee thus provides a dendrogram representation of surface topology which
enables graph theoretic analysis and comparison of surface structures
. Echelon topview maps show echelon cover sectors on the base plane. A
n echelon table summarizes characteristics of echelons as instances or
cases of hillform surface structure. Determination of echelons requir
es only ordinal strength for the surface variable, and is thus appropr
iate for environmental indices as well as measurements. Since echelons
are inherent in a surface rather than perceptual they provide a basis
for computer-intelligent understanding of surfaces. Echelons are give
n for broad-scale mammalian species richness in Pennsylvania.