Calculates the topographic index of a basin defined as:
where:
- A is the contributing area in one point
- s the slope
- mu = 1/N sumi log(Ai/si) is the mean value of the logarithm over the whole basin (N is the number of pixels belonging to the basin)
It is an index which is necessary to recognize the sites generating
dunnian surface flow in a similar way. Sites with higher topographic
index become saturated before than sites with lower topographic
index.
Inputs
- the file containing the matrix of the contributing areas (obtained with DrainDir or Tca)
- the file containing the matrix of the slope (obtained with Gradient or Slope)
Output
- the file containing the matrix of the topographic indexes