William E Dietrich, Dino G Bellugi, Leonard S Sklar, Jonathan D Stock, Arjun M Heimsath, and Joshua J Roering (2003)
Geomorphic transport laws for predicting landscape form and dynamics
In: Prediction in geomorphology, edited by P. Wilcock and R. Iverson. AGU, Washington, D.C., pages 103--132.
A geomorphic transport law is a mathematical statement derived from a
physical principle or mechanism, which expresses the mass flux or
erosion caused by one or more processes in a manner that: 1) can be
parameterized from field measurements, 2) can be tested in physical
models, and 3) can be applied over geomorphically significant spatial
and temporal scales. Such laws are a compromise between physics-based
theory that requires extensive information about materials and their
interactions, which may be hard to quantify across real landscapes,
and rules-based approaches, which cannot be tested directly but only
can be used in models to see if the model outcomes match some expected
or observed state. We propose that landscape evolution modeling can be
broadly categorized into detailed, apparent, statistical and essential
realism models and it is the latter, concerned with explaining
mechanistically the essential morphodynamic features of a landscape,
in which geomorphic transport laws are most effectively applied. A
limited number of studies have provided verification and
parameterization of geomorphic transport laws for: linear
slope-dependent transport, non-linear transport due to dilational
disturbance of soil, soil production from bedrock, and river incision
into bedrock. Field parameterized geomorphic transport laws, however,
are lacking for many processes including landslides, debris flows,
surface wash, and glacial scour. We propose the use of high-
resolution topography, as initial conditions, in landscape evolution
models and explore the applicability of locally parameterized
geomorphic transport laws in explaining hillslope morphology in the
Oregon Coast Range. This modeling reveals unexpected morphodynamics,
suggesting that the use of real landscapes with geomorphic transport
laws may provide new insights about the linkages between process and
form.
doi:10.1029/135GM09