[6] | 1 | ! calculates the leaf efficiency |
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| 2 | ! |
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| 3 | ! $Header: /home/ssipsl/CVSREP/ORCHIDEE/src_stomate/stomate_vmax.f90,v 1.11 2010/04/06 15:44:01 ssipsl Exp $ |
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| 4 | ! IPSL (2006) |
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| 5 | ! This software is governed by the CeCILL licence see ORCHIDEE/ORCHIDEE_CeCILL.LIC |
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| 6 | ! |
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| 7 | MODULE stomate_vmax |
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| 8 | |
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| 9 | ! modules used: |
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| 10 | |
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| 11 | USE ioipsl |
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| 12 | USE stomate_constants |
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| 13 | USE constantes_veg |
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| 14 | |
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| 15 | IMPLICIT NONE |
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| 16 | |
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| 17 | ! private & public routines |
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| 18 | |
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| 19 | PRIVATE |
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| 20 | PUBLIC vmax, vmax_clear |
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| 21 | |
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| 22 | ! first call |
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| 23 | LOGICAL, SAVE :: firstcall = .TRUE. |
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| 24 | |
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| 25 | CONTAINS |
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| 26 | |
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| 27 | SUBROUTINE vmax_clear |
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| 28 | firstcall=.TRUE. |
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| 29 | END SUBROUTINE vmax_clear |
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| 30 | |
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| 31 | SUBROUTINE vmax (npts, dt, & |
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| 32 | leaf_age, leaf_frac, & |
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| 33 | vcmax, vjmax) |
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| 34 | |
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| 35 | ! |
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| 36 | ! 0 declarations |
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| 37 | ! |
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| 38 | |
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| 39 | ! 0.1 input |
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| 40 | |
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| 41 | ! Domain size |
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| 42 | INTEGER(i_std), INTENT(in) :: npts |
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| 43 | ! time step of Stomate in days |
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| 44 | REAL(r_std), INTENT(in) :: dt |
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| 45 | |
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| 46 | ! 0.2 modified fields |
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| 47 | |
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| 48 | ! leaf age (days) |
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| 49 | REAL(r_std), DIMENSION(npts,nvm,nleafages), INTENT(inout) :: leaf_age |
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| 50 | ! fraction of leaves in leaf age class |
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| 51 | REAL(r_std), DIMENSION(npts,nvm,nleafages), INTENT(inout) :: leaf_frac |
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| 52 | |
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| 53 | ! 0.3 output |
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| 54 | |
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| 55 | ! Maximum rate of carboxylation |
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| 56 | REAL(r_std), DIMENSION(npts,nvm), INTENT(out) :: vcmax |
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| 57 | ! Maximum rate of RUbp regeneration |
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| 58 | REAL(r_std), DIMENSION(npts,nvm), INTENT(out) :: vjmax |
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| 59 | |
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| 60 | ! 0.4 local |
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| 61 | |
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| 62 | ! offset (minimum relative vcmax) |
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| 63 | REAL(r_std), PARAMETER :: vmax_offset = 0.3 |
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| 64 | ! leaf age at which vmax attains vcmax_opt (in fraction of critical leaf age) |
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| 65 | REAL(r_std), PARAMETER :: leafage_firstmax = 0.03 |
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| 66 | ! leaf age at which vmax falls below vcmax_opt (in fraction of critical leaf age) |
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| 67 | REAL(r_std), PARAMETER :: leafage_lastmax = 0.5 |
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| 68 | ! leaf age at which vmax attains its minimum (in fraction of critical leaf age) |
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| 69 | REAL(r_std), PARAMETER :: leafage_old = 1. |
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| 70 | ! leaf efficiency (vcmax/vcmax_opt) |
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| 71 | REAL(r_std), DIMENSION(npts) :: leaf_efficiency |
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| 72 | ! change of fraction of leaves in age class |
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| 73 | REAL(r_std), DIMENSION(npts,nvm,nleafages) :: d_leaf_frac |
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| 74 | ! new leaf age (d) |
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| 75 | REAL(r_std), DIMENSION(npts,nleafages) :: leaf_age_new |
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| 76 | ! sum of leaf age fractions, for normalization |
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| 77 | REAL(r_std), DIMENSION(npts) :: sumfrac |
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| 78 | ! relative leaf age (age/critical age) |
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| 79 | REAL(r_std), DIMENSION(npts) :: rel_age |
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| 80 | ! Index |
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| 81 | INTEGER(i_std) :: j,m |
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| 82 | |
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| 83 | ! ========================================================================= |
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| 84 | |
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| 85 | IF (bavard.GE.3) WRITE(numout,*) 'Entering vmax' |
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| 86 | |
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| 87 | ! |
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| 88 | ! 1 Initialization |
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| 89 | ! |
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| 90 | |
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| 91 | ! |
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| 92 | ! 1.1 first call: info about flags and parameters. |
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| 93 | ! |
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| 94 | |
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| 95 | IF ( firstcall ) THEN |
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| 96 | |
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| 97 | WRITE(numout,*) 'vmax:' |
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| 98 | |
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| 99 | WRITE(numout,*) ' > offset (minimum vcmax/vmax_opt):' , vmax_offset |
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| 100 | WRITE(numout,*) ' > relative leaf age at which vmax attains vcmax_opt:', leafage_firstmax |
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| 101 | WRITE(numout,*) ' > relative leaf age at which vmax falls below vcmax_opt:', leafage_lastmax |
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| 102 | WRITE(numout,*) ' > relative leaf age at which vmax attains its minimum:', leafage_old |
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| 103 | |
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| 104 | firstcall = .FALSE. |
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| 105 | |
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| 106 | ENDIF |
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| 107 | |
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| 108 | ! |
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| 109 | ! 1.2 initialize output |
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| 110 | ! |
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| 111 | |
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| 112 | vcmax(:,:) = zero |
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| 113 | vjmax(:,:) = zero |
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| 114 | |
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| 115 | ! |
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| 116 | ! 2 leaf age: general increase and turnover between age classes. |
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| 117 | ! |
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| 118 | |
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| 119 | ! |
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| 120 | ! 2.1 increase leaf age |
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| 121 | ! |
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| 122 | |
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| 123 | DO m = 1, nleafages |
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| 124 | |
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| 125 | DO j = 2,nvm |
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| 126 | WHERE ( leaf_frac(:,j,m) .GT. min_stomate ) |
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| 127 | |
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| 128 | leaf_age(:,j,m) = leaf_age(:,j,m) + dt |
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| 129 | |
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| 130 | ENDWHERE |
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| 131 | ENDDO |
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| 132 | |
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| 133 | ENDDO |
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| 134 | |
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| 135 | ! |
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| 136 | ! 2.2 turnover between leaf age classes |
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| 137 | ! d_leaf_frac(:,:,m) = what leaves m-1 and goes into m |
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| 138 | ! |
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| 139 | |
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| 140 | DO j = 2,nvm |
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| 141 | |
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| 142 | ! 2.2.1 fluxes |
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| 143 | |
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| 144 | ! nothing goes into first age class |
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| 145 | d_leaf_frac(:,j,1) = zero |
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| 146 | |
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| 147 | ! from m-1 to m |
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| 148 | DO m = 2, nleafages |
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| 149 | |
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| 150 | d_leaf_frac(:,j,m) = leaf_frac(:,j,m-1) * dt/leaf_timecst(j) |
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| 151 | |
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| 152 | ENDDO |
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| 153 | |
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| 154 | ! 2.2.2 new leaf age in class |
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| 155 | ! new age = ( old age * old fraction + fractional increase * age of source ) / |
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| 156 | ! new fraction |
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| 157 | |
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| 158 | leaf_age_new(:,:) = zero |
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| 159 | |
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| 160 | DO m = 2, nleafages-1 |
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| 161 | ! DO m=2, nleafages |
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| 162 | |
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| 163 | WHERE ( d_leaf_frac(:,j,m) .GT. min_stomate ) |
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| 164 | |
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| 165 | leaf_age_new(:,m) = ( ( (leaf_frac(:,j,m)- d_leaf_frac(:,j,m+1)) * leaf_age(:,j,m) ) + & |
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| 166 | ( d_leaf_frac(:,j,m) * leaf_age(:,j,m-1) ) ) / & |
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| 167 | ( leaf_frac(:,j,m) + d_leaf_frac(:,j,m)- d_leaf_frac(:,j,m+1) ) |
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| 168 | |
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| 169 | ! leaf_age_new(:,m) = ( ( leaf_frac(:,j,m) * leaf_age(:,j,m) ) + & |
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| 170 | ! ( d_leaf_frac(:,j,m) * leaf_age(:,j,m-1) ) ) / & |
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| 171 | ! ( leaf_frac(:,j,m) + d_leaf_frac(:,j,m) ) |
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| 172 | |
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| 173 | ENDWHERE |
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| 174 | |
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| 175 | ENDDO ! Loop over age classes |
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| 176 | |
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| 177 | WHERE ( d_leaf_frac(:,j,nleafages) .GT. min_stomate ) |
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| 178 | |
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| 179 | leaf_age_new(:,nleafages) = ( ( leaf_frac(:,j,nleafages) * leaf_age(:,j,nleafages) ) + & |
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| 180 | ( d_leaf_frac(:,j,nleafages) * leaf_age(:,j,nleafages-1) ) ) / & |
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| 181 | ( leaf_frac(:,j,nleafages) + d_leaf_frac(:,j,nleafages) ) |
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| 182 | |
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| 183 | ENDWHERE |
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| 184 | |
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| 185 | DO m = 2, nleafages |
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| 186 | |
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| 187 | WHERE ( d_leaf_frac(:,j,m) .GT. min_stomate ) |
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| 188 | |
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| 189 | leaf_age(:,j,m) = leaf_age_new(:,m) |
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| 190 | |
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| 191 | ENDWHERE |
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| 192 | |
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| 193 | ENDDO ! Loop over age classes |
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| 194 | |
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| 195 | ! 2.2.3 calculate new fraction |
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| 196 | |
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| 197 | DO m = 2, nleafages |
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| 198 | |
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| 199 | ! where the change comes from |
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| 200 | leaf_frac(:,j,m-1) = leaf_frac(:,j,m-1) - d_leaf_frac(:,j,m) |
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| 201 | |
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| 202 | ! where it goes to |
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| 203 | leaf_frac(:,j,m) = leaf_frac(:,j,m) + d_leaf_frac(:,j,m) |
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| 204 | |
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| 205 | ENDDO |
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| 206 | |
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| 207 | ! 2.2.4 renormalize fractions in order to prevent accumulation |
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| 208 | ! of numerical errors |
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| 209 | |
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| 210 | ! correct small negative values |
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| 211 | |
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| 212 | DO m = 1, nleafages |
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| 213 | leaf_frac(:,j,m) = MAX( zero, leaf_frac(:,j,m) ) |
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| 214 | ENDDO |
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| 215 | |
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| 216 | ! total of fractions, should be very close to one where there is leaf mass |
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| 217 | |
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| 218 | sumfrac(:) = zero |
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| 219 | |
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| 220 | DO m = 1, nleafages |
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| 221 | |
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| 222 | sumfrac(:) = sumfrac(:) + leaf_frac(:,j,m) |
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| 223 | |
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| 224 | ENDDO |
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| 225 | |
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| 226 | ! normalize |
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| 227 | |
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| 228 | DO m = 1, nleafages |
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| 229 | |
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| 230 | WHERE ( sumfrac(:) .GT. min_stomate ) |
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| 231 | |
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| 232 | leaf_frac(:,j,m) = leaf_frac(:,j,m) / sumfrac(:) |
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| 233 | |
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| 234 | ELSEWHERE |
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| 235 | |
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| 236 | leaf_frac(:,j,m) = zero |
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| 237 | |
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| 238 | ENDWHERE |
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| 239 | |
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| 240 | ENDDO |
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| 241 | |
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| 242 | ENDDO ! Loop over PFTs |
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| 243 | |
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| 244 | ! |
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| 245 | ! 3 calculate vmax as a function of the age |
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| 246 | ! |
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| 247 | |
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| 248 | DO j = 2,nvm |
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| 249 | |
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| 250 | vcmax(:,j) = zero |
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| 251 | vjmax(:,j) = zero |
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| 252 | |
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| 253 | ! sum up over the different age classes |
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| 254 | |
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| 255 | DO m = 1, nleafages |
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| 256 | |
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| 257 | ! |
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| 258 | ! 3.1 efficiency in each of the age classes |
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| 259 | ! increases from 0 to 1 at the beginning (rel_age < leafage_firstmax), stays 1 |
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| 260 | ! until rel_age = leafage_lastmax, then decreases to vmax_offset at |
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| 261 | ! rel_age = leafage_old, then stays at vmax_offset. |
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| 262 | ! |
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| 263 | |
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| 264 | rel_age(:) = leaf_age(:,j,m) / pheno_crit%leafagecrit(j) |
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| 265 | |
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| 266 | leaf_efficiency(:) = MAX( vmax_offset, MIN( 1._r_std, & |
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| 267 | vmax_offset + (1._r_std-vmax_offset) * rel_age(:) / leafage_firstmax, & |
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| 268 | 1._r_std - (1._r_std-vmax_offset) * ( rel_age(:) - leafage_lastmax ) / & |
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| 269 | ( leafage_old - leafage_lastmax ) ) ) |
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| 270 | |
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| 271 | ! |
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| 272 | ! 3.2 add to mean vmax |
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| 273 | ! |
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| 274 | |
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| 275 | vcmax(:,j) = vcmax(:,j) + vcmax_opt(j) * leaf_efficiency(:) * leaf_frac(:,j,m) |
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| 276 | vjmax(:,j) = vjmax(:,j) + vjmax_opt(j) * leaf_efficiency(:) * leaf_frac(:,j,m) |
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| 277 | |
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| 278 | ENDDO ! loop over age classes |
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| 279 | |
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| 280 | ENDDO ! loop over PFTs |
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| 281 | |
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| 282 | IF (bavard.GE.4) WRITE(numout,*) 'Leaving vmax' |
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| 283 | |
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| 284 | END SUBROUTINE vmax |
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| 285 | |
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| 286 | END MODULE stomate_vmax |
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