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Vertical
curvature is a measure of relative deceleration and acceleration of
gravitydriven flows. Overland and intrasoil lateral flows are decelerated
when k_{v} < 0, and they are accelerated when k_{v}
> 0. Geomorphologically, k_{v}
mapping allows revealing terraces and scarps. Like other local morphometric
variables, vertical curvature can be derived from a digital elevation model (DEM)
by finitedifference methods (e.g., IF2009 method and IF1998 method) as well as the universal spectral
analytical method. Example**. A model of vertical curvature was
derived from a DEM of Mount Ararat by the universal spectral analytical
method. The model includes 779,401 points (the matrix 1081 x
721); the grid spacing is 1". To deal with the large
dynamic range of this variable, its
values were logarithmically transformed.
The vertical exaggeration of the 3D model is 2x. The data processing and modelling were carried out using the software Matlab R2008b. References
*
Shary, P.A., 1995. Land surface in gravity points classification by a complete
system of curvatures. Mathematical Geology, 27: 373–390.
** Florinsky,
I.V., 2017. An illustrated introduction to
general geomorphometry. Progress in Physical Geography, 41:
723–752. doi pdf
For
details and other examples, see:
