Modelling Landscape Evolution - Environmental Modelling: Finding Simplicity in Complexity - page 301

Table 19.1 Characteristics of most commonly used landscape-evolution models.

Grid 1 Model Reference Hillslope process Fluvial process Additional

representation 2 representation 3 processes

SIBERIA Willgoose, Bras and

Rodriguez-Iturbe, 1991

Production: × Transport: D TL Explicit channel initiation

algorithm

Beaumont, Fullsack and Hamilton,
1992; Kooi and Beaumont, 1994

Production: × Transport: D U Flexural isostatic rebound

+

GOLEM Tucker and Slingerland, 1994 Production: EXP

Transport: D

DL TL Flexural isostatic rebound

+ I

×

Cascade Braun and Sambridge, 1997 Production: Transport: U Flexural isostatic rebound

D + I*/LS**

Zscape Densmore, Ellis and Anderson, 1998 Production: EXP L

Transport: NLD + LS

+ DL + TL Fault-displacement model (elastic

half-space)

Ice Cascade Braun, Zwartz and Tomkin, 1999 Production: × Transport: D U Glacial erosion; Flexural isostatic

rebound

¤

ros Crave and Davy, 2001 Production: × Transport: D U(var) Stochastic distribution of

precipitation events

CHILD Tucker et al ., 2001 Production: × Transport: D DLT + TL Tracking of sediment deposition

and grain size distribution;
Stochastic distribution of
precipitation events; Lateral
channel migration

Tao3D/TISC Garcia-Castellanos, 2002 × U Tracking of sediment deposition;

Explicit treatment of lakes;
Flexural isostatic rebound

APERO Carretier and Lucazeau, 2005 Production: × Transport: NLD DL + TL 'Multiple flow' (approaching

Hortonian overland flow)

1 Calculation grid:

irregular, Delaunay triangulation.
2 Hillslope process representation - Production:

regular rectangular;

no explicit production function; EXP: exponentially decreasing with soil depth (eqn. 20.2); L linear increase with depth. Transport: D
linear diffusion (eqn. 19.3); NLD: non-linear diffusion (Eqationn. 19.4); I instantaneous collapse of oversteepened slopes; LS landsliding (eqns. 19.5, 19.6).* implemented by van der Beek
and Braun (1999); ** implemented by Champel et al . (2002).
3 Fluvial process representation: DL detachment-limited stream power (eqn. 19.7); TL transport-limited stream power (eqn. 19.9); DLT detachment-limited stream power with incision
threshold (eqn. 19.10); U 'undercapacity' (eqn. 19.11); U(var) variant of the undercapacity model.

×