Calculates the magnitude of a basin, defined as the number of sources upriver with respect
to every point.
Inputs
- The !GridCoverage with the drainage directions, obtained with [Markoutlets]
Output
- The !GridCoverage containing the matrix of the basin magnitude
Notes
If the river net is a trifurcated tree (a node in which three channels enter and one exits),
then between number of springs and channels there exists a bijective correspondence hc = 2ns − 1
where hc is the number of channels and ns the number of sources; the magnitude is then also an
indicator of the contributing area.
References
- [Bibliography#9, 9] M.J. Woldenborg,1982
- [Bibliography#8, 8] I. Rodriguez-Iturbe, 1997
- [Bibliography#10, 10] J.S. Smart, 1976
- [Bibliography#11, 11] J.S. Smart, 1976
- [Bibliography#12, 12] R.L. Shreve, 1966
- [Bibliography#13, 13] R.L. Shreve, 1967
- [Bibliography#14, 14] W.R. James, 1969