The topographic wetness index is defined as: ln(a/tanb)
where a is the local upslope area draining through a certain point per unit contour length and b is the local slope in radians.
Stream power index (SI) takes into account both a local slope geometry and site location in the landscape combining data on slope gradient and catchment area:
SI = ln (CA . tanG)
where CA and G are catchment area and slope gradient, respective
The sediment transport index is defined as :
STI = (As/22.13)^0.6 x (sinb/0.0896)^1.3
As is the upstream area and b is the slope at a given cell.