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 = un |
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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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