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					LEAF3
 LEAF-3 vertical levels and patches
            SINGLE ATMOSPHERIC COLUMN




                                        Canopy air
                                        Vegetation
 NZS = 3                                Snowcover
                                          Water
NZG = 7                                    Soil

NPATCH=5:      P1    P2   P3   P4 P5
  Subgrid Mosaic
(used in RAMS only)




lake          veg type A
              soil type A


                  bare soil
veg type B
soil type A
                 veg type B
                 soil type B

drain basin
                                   A       wav       hav          was       has

              wca     hca                                    wca      hca

                    hvc    wvc           wvc     hvc
                                   rvc                     rav
                               V                 V                      C
                                         wvs         hvs
LEAF–3
fluxes                         C           rsv               wsc      hsc     rsa
                                                                 S2
                                           wss                   S1         hss
longwave
radiation   rga                                  wgvc2
                          wgc hgc rgv      wgs               G2             hgs
sensible    wgvc2
                          G2
  heat      wgvc1
                               hgg wgg     wgg wgvc1         G1         hgg
 water                    G1

                PATCH 1                          PATCH 2
      Conservation equations for water
Canopy air
  Wc
       Fwsc  Fwgc  Fwvc  Fwgvc 2  Fwgvc1  Fwca
   t
Vegetation

  Wv
        Fwvc  Fwav  Fwvs
   t
Snowcover layer 1

  Ws1
         Fwss  Fwgs
   t
Snowcover layer 2

  Ws 2
          Fwsc  Fwss  Fwas  Fwvs
   t
          Conservation equations for water
Soil layer 1
          W g 1
   z1               Fwgg  Fwgvc1
           t

Soil layer 2

          W g 2
   z 2              Fwgc  Fwgs  Fwgvc 2  Fwgg
            t
    Conservation equations for energy
Canopy air
        Tc
   Cc        Fhsc  Fhgc  Fhvc  Fhca
         t
Vegetation
       Tv
    Cv       Fhvc  Fhav  Fhvs  Frva  Frsv  Frgv  Sv
        t
              Fwvc  Fwgvcs2  Fwgvc1  L
Snowcover layer 1
     Ws1Qs1 
                  Fhss  Fhgs  S s1
        t
Snowcover layer 2

    Ws 2Qs 2 
                   Fhsc  Fhss  Fhvs  Fhas  Frsv  Frsa  S s 2  Fwsc L
       t
    Conservation equations for energy
Soil layer 1
          Q g 1
   z1               Fhgg
           t

Soil layer 2
          Q g 2
   z 2              Fhgc  Fhgs  Fhgg  Frga  Frgv  S g  Fwgc L
            t
            Internal energy Q definition

Surface water (snowcover)

   Qs  f i C iTs  f l C l Ts  Lil 

Soil
   Q g  W g f i C iTg  W g f l C l Tg  Lil   C g m gTg

Fi = fraction of mass that is ice
Ci , Cl , Cg = specific heats of ice, liquid, dry soil matter
Lil = latent heat of fusion
Ts , Tg = snowcover, soil temperatures
Wg = soil water mass
mg = dry soil mass
       Surface water internal energy Q
        ice         mixed           liquid




T(C)


  0




              0              L il
                  Q (J/kg)
       Soil internal energy Q


        dry         medium
T(C)

                                    saturated
  0




          0                  L il
              Q (J/kg)
Water flux between soil layers
                     y  z 
    Fwgg     rwh
                        z
Hydraulic conductivity(m/s)          Soil water potential (m)
                      2b 3                                 b
             h                                   h s 
    h   s                              y y s  
             h s                                 h 

Ks = saturation hydraulic conductivity
ys = saturation water potential
rw = density of water
[h / hs ] = soil moisture fraction
b = 4.05, 5.39, 11.4 for sand, loam, clay
Heat flux between soil, snowcover layers

                 Tg
    Fhgg             Fwgg Qg
                  z

                 T
    Fhss    Ks     Fwss Qs 2
                 z
                                T
    Fhgs  .5( K s  C g  )         Fwgs Qs1
                                z
   LEAF-3 Canopy Fluxes
qatm                                                 Tatm


       RA (Louis 1981)    qsat              RA

                                    Tveg
qcan                                                 Tcan
                                 qsat
             RB           RC               RB

        RD                                      RD
 qgs                                                 Tgs

       Heat flux  ΔT R
       Moisture flux  Δq R       qsoil
Nonvegetated Areas
                       Tatm            qatm


                  RA              RA
RD  5/u*
                       Tcan            qcan


                  RD              RD
                       Tgs             qgs

        (Based on Garratt 1992)
Definitions


Y= leaf area index
x= snowcover parameter
      = 1 when there is snowcover
      = 0 with no snowcover
 fractional vegetation cover or transmissivity
Zs = snowcover depth
Zv = vegetation height
                z s 
s  max0,  1   
             
                zv  
                      
                 z s 
s  max0,   1   
              
                 zv  
                       
Sensible heat fluxes:



          xC p r a Ts  Tc            SNOW TO CANOPY AIR
 Fhsc 
                  rd
          1  x  C p r a Tg  Tc    SOIL TO CANOPY AIR
 Fhgc 
                       rd

          2.2sC p r a Tv  Tc        VEGETATION TO CANOPY
 Fhvc                                  AIR
                       Rb
                                        CANOPY AIR TO
 Fhca  C p r a uT                   ATMOSPHERE
Water fluxes:

          xr a  s   c                   SNOW TO CANOPY AIR
 Fwsc 
                 rd

          1  x ra  g   c               SOIL TO CANOPY AIR
 Fwgc 
                      rd

          2.2s r a  v   c s w             VEGETATION TO CANOPY
 Fwvc                                          AIR
                     rb

                           s r a  v   c 1  s w 
 Fwgvc 2  Fwgvc1  
                                                           TRANSPIRATION
                                      rb  rc

                                                CANOPY AIR TO
 Fwca   r a u                              ATMOSPHERE
        
        
uw  
            u          NP
                        Ap
                              u p
                                 2
                                 
                                       Momentum, sensible
         u v         p 1           heat, and water vapor
           2   2

                                       fluxes summed over
                                       subgrid patches and
         
v w  
          2
             v        NP
                       Ap
                             u p
                                2
                                
                                       weighted by patch
                                       fractional area
          u v       p 1
                2




         NP
w T    A p uT p
         p 1




        NP
w     A p u   p
        p 1
                    FAO soil class dataset
•   Defined globally at 2-arc-minute intervals
•   Only a single vertical level (no profile or depth information)
•   132 categories (e.g., ferric acrisols, chromic luvisols, gelic regosols,
    solodic planosols)
•   Conversion table to 8 ZOBLER classes
•   LEAF-3 converts ZOBLER to USDA classes:

             ZOBLER                           USDA
             Coarse                        Loamy sand
             Medium                        Silt loam
             Fine                          Clay loam
             Coarse-medium                 Sandy loam
             Coarse-fine                   Sandy clay loam
             Medium-fine                   Silty clay loam
             Coarse-medium-fine            Sandy clay loam
             Organic matter                Loam
    USDA classes not used: Sand, Sandy clay, Silty clay, Clay, Peat
Normalized Difference Vegetation Index -
                 NDVI




      • Global 1 km data from USGS
      • Monthly - April 1992 through March 1993
      • Captures first-order seasonal effects
            SiB2 equations based on NDVI
                                  1  NDVI
 0  NDVI  1              SR 
                                  1  NDVI
                                               SR  SRm in
FPAR  FPAR m in  ( FPAR m ax  FPAR m in )
                                             SRm ax SRm in
                                                     
LAI  LAImaxC          (1  C) ln(1  FPAR) F 
                    FPAR
                  FPARmax                            

TAI  LAI  SAI  (GLAI max  LAI )DFRAC 
Z 0  H  1  .91  exp( .0075  TAI )]
          [

VEG _ FRACAREA   max 1  exp(   TAI )]
                 VF [

ALBveg  ALB green
                                       LAI 
                          ALBbrown 1 
                     LAI
                     TAI               TAI 
                                            
data bioparms/ &
!-----------------------------------------------------------------------------
!albv_green     sr_max         veg_clump       rootdep             LEAF-3 CLASS #
!     albv_brown     tai_max        veg_frac        dead_frac      AND DESCRIPTION
!          emisv          sai            veg_ht         rcmin
!-----------------------------------------------------------------------------
 .00, .00, .00, .0, 0.0, .0, .0, .00, .0, .0, .0, 0., & ! 0 Ocean
 .00, .00, .00, .0, 0.0, .0, .0, .00, .0, .0, .0, 0., & ! 1 Lakes, rivers, streams
 .00, .00, .00, .0, 0.0, .0, .0, .00, .0, .0, .0, 0., & ! 2 Ice cap/glacier
 .00, .00, .00, .0, 0.0, .0, .0, .00, .0, .0, .0, 0., & ! 3 Desert, bare soil
 .14, .24, .97, 5.4, 8.0, 1.0, 1.0, .80, 20.0, 1.5, .0, 500., & ! 4 Evergreen needleleaf tree
 .14, .24, .95, 5.4, 8.0, 1.0, 1.0, .80, 22.0, 1.5, .0, 500., & ! 5 Deciduous needleleaf tree
 .20, .24, .95, 6.2, 7.0, 1.0, .0, .80, 22.0, 1.5, .0, 500., & ! 6 Deciduous broadleaf tree
 .17, .24, .95, 4.1, 7.0, 1.0, .0, .90, 32.0, 1.5, .0, 500., & ! 7 Evergreen broadleaf tree
 .21, .43, .96, 5.1, 4.0, 1.0, .0, .75, .3, .7, .7, 100., & ! 8 Short grass
 .24, .43, .96, 5.1, 5.0, 1.0, .0, .80, 1.2, 1.0, .7, 100., & ! 9 Tall grass
 .24, .24, .96, 5.1, 1.0, .2, 1.0, .20, .7, 1.0, .0, 500., & ! 10 Semi-desert
 .20, .24, .95, 5.1, 4.5, .5, 1.0, .60, .2, 1.0, .0, 50., & ! 11 Tundra
 .14, .24, .97, 5.1, 5.5, 1.0, 1.0, .70, 1.0, 1.0, .0, 500., & ! 12 Evergreen shrub
 .20, .28, .97, 5.1, 5.5, 1.0, 1.0, .70, 1.0, 1.0, .0, 500., & ! 13 Deciduous shrub
 .16, .24, .96, 6.2, 7.0, 1.0, .5, .80, 22.0, 1.5, .0, 500., & ! 14 Mixed woodland
 .22, .40, .95, 5.1, 5.0, .5, .0, .85, 1.0, 1.0, .0, 100., & ! 15 Crop/mixed farming, C3 grass
 .18, .40, .95, 5.1, 5.0, .5, .0, .80, 1.1, 1.0, .0, 500., & ! 16 Irrigated crop
 .12, .43, .98, 5.1, 7.0, 1.0, .0, .80, 1.6, 1.0, .0, 500., & ! 17 Bog or marsh
 .20, .36, .96, 5.1, 6.0, 1.0, .0, .80, 7.0, 1.0, .0, 100., & ! 18 Wooded grassland
 .20, .36, .90, 5.1, 3.6, 1.0, .0, .74, 6.0, .8, .0, 500., & ! 19 Urban and built up
 .17, .24, .95, 4.1, 7.0, 1.0, .0, .90, 32.0, 1.5, .0, 500./ ! 20 Wetland evergrn broadleaf tree
Next version under development:
       LEAF-HYDRO

				
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posted:9/11/2012
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