Tectonic and geomorphic displacements of the Earth's surface control t
opographic profile development; therefore, their analysis should be co
mbined. In the model presented here, transient finite difference solut
ions to the continuity equation for material transport determine geomo
rphic displacements. The material transport rate is a function of dist
ance from the divide to the power m, local slope to the power n, and a
rate constant. Values of rn and n may be adjusted to simulate process
es varying from rainsplash and soil creep (i.e., diffusive; m = 0, n =
1) to slope wash and river flow (m > 0, n > 0). The actual geomorphic
displacements may be transport or weathering-limited, depending on so
il profile development. Superimposed edge dislocations in an elastic h
alf-plane are used to model tectonic displacements. Slip along a norma
l or reverse fault of any dip, depth and down-dip length may be increm
ental (earthquake) or continuous (aseismic creep). Considering climate
and material properties constant, the ratio of the transport capacity
rate constant to the fault slip rate roughly determines form. This mo
del extends existing morphologic diffusion erosion analyses to include
other geomorphic conditions and processes (transport- or weathering-l
imited conditions, material flux boundary conditions, and the developm
ent of gullies and knickpoints) and more heterogeneous spatial and tem
poral distributions of tectonic displacement (such as those due to sli
p along buried thrust faults). We advocate calibration of these parame
ters and processes to provide a quantitative approach to modeling land
form development, determining deformation rates, and inferring earthqu
ake hazards.