Index: doc/wflow_sbm.rst =================================================================== diff -u -r624d8eefc19eed6845fc045df54aa9ee8df9beb4 -rd22aa12e7df20836e4c4c55aee9681616ad73e72 --- doc/wflow_sbm.rst (.../wflow_sbm.rst) (revision 624d8eefc19eed6845fc045df54aa9ee8df9beb4) +++ doc/wflow_sbm.rst (.../wflow_sbm.rst) (revision d22aa12e7df20836e4c4c55aee9681616ad73e72) @@ -135,12 +135,112 @@ "canopy" capacity of the vegetation woody fraction. +Here it is assumed that Cmax_leaves (Gash’ canopy capacity) relates linearly with LAI (c.f. Van Dijk and Bruijnzeel 2001). This done +via the Sl (specific leaf storage). Sl is determined via a lookup table with land cover. Next the Cmax_leaves is +determined using: +.. math:: + Cmax_leaves = Sl * LAI + + +:: + + 0 0 Water + 1 0.045 Evergreen Needle leaf Forest + 2 0.036 Evergreen Broadleaf Forest + 3 0.045 Deciduous Needle leaf Forest + 4 0.036 Deciduous Broadleaf Forest + 5 0.03926 Mixed Forests + 6 0.07 Closed Shrublands + 7 0.07 Open Shrublands + 8 0.07 Woody Savannas + 9 0.09 Savannas + 10 0.1272 Grasslands + 11 0.1272 Permanent Wetland + 12 0.1272 Croplands + 13 0.04 Urban and Built-Up + 14 0.1272 Cropland/Natural Vegetation Mosaic + 15 0.0 Snow and Ice + 16 0.04 Barren or Sparsely Vegetated + +The table above shows lookup table for Sl (as determined from Pitman 1986, Lui 1998). + +To get to total storage (Cmax) the woody part of the vegetation also needs to be added. This is done via a simple + lookup table between land cover tha Cmax_wood: + +.. digraph:: cmax + + "MODIS LandCover" -> "Sl lookuptable"; + "Sl lookuptable" -> Sl -> Multiply; + "LAI (monthly)" -> Multiply -> "S (leaves)" -> add; + "MODIS LandCover" -> "S Wood lookuptable"; + "S Wood lookuptable" -> "S (wood)"; + "S (wood)"-> add; + add -> Cmax; + + +:: + + 0 0 Water + 1 0.5 Evergreen Needle leaf Forest + 2 0.5 Evergreen Broadleaf Forest + 3 0.5 Deciduous Needle leaf Forest + 4 0.5 Deciduous Broadleaf Forest + 5 0.5 Mixed Forests + 6 0.2 Closed Shrublands + 7 0.1 Open Shrublands + 8 0.2 Woody Savannas + 9 0.01 Savannas + 10 0.0 Grasslands + 11 0.01 Permanent Wetland + 12 0.0 Croplands + 13 0.01 Urban and Built-Up + 14 0.01 Cropland/Natural Vegetation Mosiac + 15 0.0 Snow and Ice + 16 0.04 Barren or Sparsely Vegetated + + +The above table relates the land cover map to the woody part of the Cmax. + + +The canopy gap fraction is determined using the K k: extinction coefficient (van Dijk and Bruijnzeel 2001): + +.. math:: + + CanopyGapFraction = exp(-k * LAI) + +The table below show how k is related to land cover: + +:: + + 0 0.7 Water + 1 0.8 Evergreen Needle leaf Forest + 2 0.8 Evergreen Broadleaf Forest + 3 0.8 Deciduous Needle leaf Forest + 4 0.8 Deciduous Broadleaf Forest + 5 0.8 Mixed Forests + 6 0.6 Closed Shrublands + 7 0.6 Open Shrublands + 8 0.6 Woody Savannas + 9 0.6 Savannas + 10 0.6 Grasslands + 11 0.6 Permanent Wetland + 12 0.6 Croplands + 13 0.6 Urban and Built-Up + 14 0.6 Cropland/Natural Vegetation Mosaic + 15 0.6 Snow and Ice + 16 0.6 Barren or Sparsely Vegetated + + + + + + The modified rutter model ~~~~~~~~~~~~~~~~~~~~~~~~~ -For subdaily timesteps the model uses a simplification of the Rutter model. The simplyfied +For subdaily timesteps the model uses a simplification of the Rutter model. The simplified model is solved explicitly and does not take drainage from the canopy into account. ::