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Are you accounting for the basin area in your calcs comparing Qw to precipitation inputs?
OK – text to go with the image in the earlier reply
The reason there is a difference between the volume of water output and input is due to the in-out difference. In the image – the blue line is the actual discharge and the pencil line is modelled. It gets the peaks right, but the low flows are influenced by the in-out difference. In other words the model speeds up when the difference is below the in-out difference, meaning that the hydrograph does not drop as fast. This leads to an over prediction of low flows (the shaded area) which leads to there being more water in volume output than input.
OK – so I just ran your sim (for a short period – 373 days just to test the hydrology)
My figures are:
Rainfall. 0.038m total * 24 (as its mm/hr) * 30 * 30 (the grid size) * 60501 (number of cells in DEM) = 18 522 889 358
Discharge 350 total * 60 * 60 * 24 (to give a total per day) * 373 (days) = 11 279 520 000
So quite a bit less…. Which is what I would expect…
Now erosion.
20m of incision might sound like a lot – but its in only a few places – and your catchment is 9km long, with a 0.5m drop – gradient of 0.0555’
So that’s pretty steep (gradient = energy of course). Additionally, your coarsest grainsize is 0.002m.. coarse sand. So, if you put even a moderate amount of water down these slopes – you’ll get lots of erosion!!!