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Dispersive area

Dispersive area (DA) is an area of a closed figure formed by a contour segment AB at a given point P of the topographic surface and two flow lines l3 and l4 going down slope from the contour segment ends*. The unit of measurement is m2.

 

Dispersive area measures a downslope area potentially exposed by flows passing through the given point on the topographic surface.

Like other nonlocal morphometric variables, dispersive area can be derived from a digital elevation model (DEM) by flow routing algorithms.

Example**. A model of dispersive area was derived from a DEM of Mount Ararat by the Martzde Jong method adapted to spheroidal equal angular grids. 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 and LandLord 4.0.

 

References

* Speight, J.G., 1974. A parametric approach to landform regions. Progress in Geomorphology: Papers in Honour of D.L. Linton. London: Institute of British Geographers, pp. 213-230.

** Florinsky, I.V., 2016. An illustrated introduction to geomorphometry. Almamac Space and Time, 11 (1): 20 p. (in Russian, with English abstract).  Article at the journal website

 

For details and other examples, see:

DIGITAL TERRAIN ANALYSIS

IN SOIL SCIENCE AND GEOLOGY

 

2nd revised edition

 

 

I.V. Florinsky

 

Elsevier / Academic Press, 2016

Amsterdam, 486 p.

 

ISBN 978-0-12-804632-6

 

 

 

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