1 | ! establishment routine |
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2 | ! Suppose seed pool >> establishment rate. |
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3 | ! |
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4 | ! $Header: /home/ssipsl/CVSREP/ORCHIDEE/src_stomate/lpj_establish.f90,v 1.9 2009/01/06 15:01:25 ssipsl Exp $ |
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5 | ! IPSL (2006) |
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6 | ! This software is governed by the CeCILL licence see ORCHIDEE/ORCHIDEE_CeCILL.LIC |
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7 | ! |
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8 | MODULE lpj_establish |
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9 | |
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10 | ! modules used: |
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11 | |
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12 | USE ioipsl |
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13 | USE stomate_constants |
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14 | USE constantes_veg |
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15 | |
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16 | IMPLICIT NONE |
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17 | |
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18 | ! private & public routines |
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19 | |
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20 | PRIVATE |
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21 | PUBLIC establish,establish_clear |
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22 | |
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23 | ! first call |
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24 | LOGICAL, SAVE :: firstcall = .TRUE. |
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25 | CONTAINS |
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26 | |
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27 | |
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28 | SUBROUTINE establish_clear |
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29 | firstcall = .TRUE. |
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30 | END SUBROUTINE establish_clear |
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31 | |
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32 | SUBROUTINE establish (npts, dt, PFTpresent, regenerate, & |
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33 | neighbours, resolution, need_adjacent, herbivores, & |
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34 | precip_annual, gdd0, lm_lastyearmax, & |
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35 | cn_ind, lai, avail_tree, avail_grass, & |
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36 | leaf_age, leaf_frac, & |
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37 | ind, biomass, age, everywhere, co2_to_bm,veget_max) |
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38 | |
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39 | ! |
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40 | ! 0 declarations |
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41 | ! |
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42 | |
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43 | ! 0.1 input |
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44 | |
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45 | ! Domain size |
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46 | INTEGER(i_std), INTENT(in) :: npts |
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47 | ! Time step of vegetation dynamics (days) |
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48 | REAL(r_std), INTENT(in) :: dt |
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49 | ! Is pft there |
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50 | LOGICAL, DIMENSION(npts,nvm), INTENT(in) :: PFTpresent |
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51 | ! Winter sufficiently cold |
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52 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: regenerate |
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53 | ! indices of the 8 neighbours of each grid point (1=N, 2=NE, 3=E, 4=SE, 5=S, 6=SW, 7=W, 8=NW) |
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54 | INTEGER(i_std), DIMENSION(npts,8), INTENT(in) :: neighbours |
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55 | ! resolution at each grid point in m (1=E-W, 2=N-S) |
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56 | REAL(r_std), DIMENSION(npts,2), INTENT(in) :: resolution |
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57 | ! in order for this PFT to be introduced, does it have to be present in an |
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58 | ! adjacent grid box? |
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59 | LOGICAL, DIMENSION(npts,nvm), INTENT(in) :: need_adjacent |
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60 | ! time constant of probability of a leaf to be eaten by a herbivore (days) |
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61 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: herbivores |
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62 | ! annual precipitation (mm/year) |
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63 | REAL(r_std), DIMENSION(npts), INTENT(in) :: precip_annual |
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64 | ! growing degree days (C) |
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65 | REAL(r_std), DIMENSION(npts), INTENT(in) :: gdd0 |
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66 | ! last year's maximum leaf mass, for each PFT (gC/(m**2 of ground)) |
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67 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: lm_lastyearmax |
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68 | ! crown area of individuals (m**2) |
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69 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: cn_ind |
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70 | ! leaf area index OF AN INDIVIDUAL PLANT |
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71 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: lai |
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72 | ! space availability for trees |
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73 | REAL(r_std), DIMENSION(npts), INTENT(in) :: avail_tree |
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74 | ! space availability for grasses |
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75 | REAL(r_std), DIMENSION(npts), INTENT(in) :: avail_grass |
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76 | ! "maximal" coverage fraction of a PFT (LAI -> infinity) on ground |
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77 | REAL(r_std), DIMENSION(npts,nvm), INTENT(inout) :: veget_max |
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78 | |
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79 | ! 0.2 modified fields |
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80 | |
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81 | ! leaf age (days) |
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82 | REAL(r_std), DIMENSION(npts,nvm,nleafages), INTENT(inout) :: leaf_age |
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83 | ! fraction of leaves in leaf age class |
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84 | REAL(r_std), DIMENSION(npts,nvm,nleafages), INTENT(inout) :: leaf_frac |
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85 | ! Number of individuals / m2 |
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86 | REAL(r_std), DIMENSION(npts,nvm), INTENT(inout) :: ind |
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87 | ! biomass (gC/(m**2 of ground)) |
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88 | REAL(r_std), DIMENSION(npts,nvm,nparts), INTENT(inout) :: biomass |
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89 | ! mean age (years) |
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90 | REAL(r_std), DIMENSION(npts,nvm), INTENT(inout) :: age |
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91 | ! is the PFT everywhere in the grid box or very localized (after its introduction) |
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92 | REAL(r_std), DIMENSION(npts,nvm), INTENT(inout) :: everywhere |
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93 | ! biomass uptaken (gC/(m**2 of total ground)/day) |
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94 | !NV passage 2D |
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95 | REAL(r_std), DIMENSION(npts,nvm), INTENT(inout) :: co2_to_bm |
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96 | |
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97 | ! 0.3 local |
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98 | |
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99 | ! time during which a sapling can be entirely eaten by herbivores (d) |
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100 | REAL(r_std) :: tau_eatup |
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101 | ! new fpc ( foliage protected cover: fractional coverage ) |
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102 | REAL(r_std), DIMENSION(npts,nvm) :: fpc_nat |
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103 | ! maximum tree establishment rate, based on climate only |
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104 | REAL(r_std), DIMENSION(npts) :: estab_rate_max_climate_tree |
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105 | ! maximum grass establishment rate, based on climate only |
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106 | REAL(r_std), DIMENSION(npts) :: estab_rate_max_climate_grass |
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107 | ! maximum tree establishment rate, based on climate and fpc |
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108 | REAL(r_std), DIMENSION(npts) :: estab_rate_max_tree |
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109 | ! maximum grass establishment rate, based on climate and fpc |
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110 | REAL(r_std), DIMENSION(npts) :: estab_rate_max_grass |
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111 | ! total natural fpc |
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112 | REAL(r_std), DIMENSION(npts) :: sumfpc |
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113 | ! total woody fpc |
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114 | REAL(r_std), DIMENSION(npts) :: sumfpc_wood |
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115 | ! for trees, measures the total concurrence for available space |
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116 | REAL(r_std), DIMENSION(npts) :: spacefight_tree |
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117 | ! for grasses, measures the total concurrence for available space |
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118 | REAL(r_std), DIMENSION(npts) :: spacefight_grass |
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119 | ! change in number of individuals /m2 per time step (per day in history file) |
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120 | REAL(r_std), DIMENSION(npts,nvm) :: d_ind |
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121 | ! biomass increase (gC/(m**2 of ground)) |
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122 | REAL(r_std), DIMENSION(npts) :: bm_new |
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123 | ! stem diameter (m) |
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124 | REAL(r_std), DIMENSION(npts) :: dia |
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125 | ! temporary variable |
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126 | REAL(r_std), DIMENSION(npts) :: b1 |
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127 | ! new sap mass (gC/(m**2 of ground)) |
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128 | REAL(r_std), DIMENSION(npts) :: sm2 |
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129 | ! woodmass of an individual |
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130 | REAL(r_std), DIMENSION(npts) :: woodmass |
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131 | ! ratio of hw(above) to total hw, sm(above) to total sm |
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132 | REAL(r_std), DIMENSION(npts) :: sm_at |
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133 | ! reduction factor for establishment if many trees or grasses are present |
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134 | REAL(r_std), DIMENSION(npts) :: factor |
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135 | ! from how many sides is the grid box invaded |
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136 | INTEGER(i_std) :: nfrontx |
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137 | INTEGER(i_std) :: nfronty |
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138 | ! daily establishment rate is large compared to present number of individuals |
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139 | LOGICAL, DIMENSION(npts) :: many_new |
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140 | ! indices |
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141 | INTEGER(i_std) :: i,j,k,m |
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142 | |
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143 | ! ========================================================================= |
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144 | |
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145 | IF (bavard.GE.3) WRITE(numout,*) 'Entering establish' |
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146 | |
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147 | ! |
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148 | ! 1 messages and initialization |
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149 | ! |
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150 | tau_eatup = one_year/2. |
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151 | |
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152 | IF ( firstcall ) THEN |
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153 | |
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154 | WRITE(numout,*) 'establish:' |
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155 | |
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156 | WRITE(numout,*) ' > time during which a sapling can be entirely eaten by herbivores (d): ', & |
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157 | tau_eatup |
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158 | |
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159 | firstcall = .FALSE. |
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160 | |
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161 | ENDIF |
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162 | |
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163 | ! |
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164 | ! 2 recalculate fpc |
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165 | ! |
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166 | |
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167 | ! |
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168 | ! 2.1 Only natural part of the grid cell |
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169 | ! |
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170 | |
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171 | DO j = 2,nvm |
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172 | |
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173 | IF ( natural(j) ) THEN |
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174 | DO i = 1, npts |
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175 | IF (lai(i,j) == val_exp) THEN |
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176 | fpc_nat(i,j) = cn_ind(i,j) * ind(i,j) |
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177 | ELSE |
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178 | fpc_nat(i,j) = cn_ind(i,j) * ind(i,j) * ( 1. - exp( -lai(i,j) * ext_coeff(j) ) ) |
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179 | ENDIF |
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180 | ENDDO |
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181 | ELSE |
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182 | |
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183 | fpc_nat(:,j) = 0.0 |
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184 | |
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185 | ENDIF |
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186 | |
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187 | ENDDO |
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188 | |
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189 | ! |
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190 | ! 2.2 total natural fpc on grid |
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191 | ! |
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192 | |
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193 | sumfpc(:) = SUM( fpc_nat(:,:), DIM=2 ) |
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194 | |
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195 | ! |
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196 | ! 2.3 total woody fpc on grid and number of regenerative tree pfts |
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197 | ! |
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198 | |
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199 | sumfpc_wood(:) = 0.0 |
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200 | spacefight_tree(:) = 0.0 |
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201 | |
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202 | DO j = 2,nvm |
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203 | |
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204 | IF ( tree(j) .AND. natural(j) ) THEN |
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205 | |
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206 | ! total woody fpc |
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207 | |
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208 | WHERE ( PFTpresent(:,j) ) |
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209 | sumfpc_wood(:) = sumfpc_wood(:) + fpc_nat(:,j) |
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210 | ENDWHERE |
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211 | |
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212 | ! how many trees are competing? Count a PFT fully only if it is present |
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213 | ! on the whole grid box. |
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214 | |
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215 | WHERE ( PFTpresent(:,j) .AND. ( regenerate(:,j) .GT. regenerate_crit ) ) |
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216 | spacefight_tree(:) = spacefight_tree(:) + everywhere(:,j) |
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217 | ENDWHERE |
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218 | |
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219 | ENDIF |
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220 | |
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221 | ENDDO |
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222 | |
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223 | ! |
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224 | ! 2.4 number of natural grasses |
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225 | ! |
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226 | |
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227 | spacefight_grass(:) = 0.0 |
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228 | |
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229 | DO j = 2,nvm |
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230 | |
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231 | IF ( .NOT. tree(j) .AND. natural(j) ) THEN |
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232 | |
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233 | ! how many grasses are competing? Count a PFT fully only if it is present |
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234 | ! on the whole grid box. |
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235 | |
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236 | WHERE ( PFTpresent(:,j) ) |
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237 | spacefight_grass(:) = spacefight_grass(:) + everywhere(:,j) |
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238 | ENDWHERE |
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239 | |
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240 | ENDIF |
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241 | |
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242 | ENDDO |
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243 | |
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244 | ! |
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245 | ! 3 establishment rate |
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246 | ! |
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247 | |
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248 | ! |
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249 | ! 3.1 maximum establishment rate, based on climate only |
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250 | ! |
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251 | |
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252 | WHERE ( ( precip_annual(:) .GE. precip_crit ) .AND. ( gdd0(:) .GE. gdd_crit ) ) |
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253 | |
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254 | estab_rate_max_climate_tree(:) = estab_max_tree |
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255 | estab_rate_max_climate_grass(:) = estab_max_grass |
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256 | |
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257 | ELSEWHERE |
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258 | |
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259 | estab_rate_max_climate_tree(:) = 0.0 |
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260 | estab_rate_max_climate_grass(:) = 0.0 |
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261 | |
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262 | ENDWHERE |
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263 | |
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264 | ! |
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265 | ! 3.2 reduce maximum tree establishment rate if many trees present. |
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266 | ! In the original DGVM, this is done using a step function which yields a |
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267 | ! reduction by factor 4 if sumfpc_wood(i) .GT. fpc_crit - 0.05. |
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268 | ! This can lead to small oscillations (without consequences however). |
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269 | ! Here, a steady linear transition is used between fpc_crit-0.075 and |
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270 | ! fpc_crit-0.025. |
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271 | ! |
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272 | |
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273 | factor(:) = 1. - 15. * ( sumfpc_wood(:) - (fpc_crit-.075) ) |
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274 | factor(:) = MAX( 0.25_r_std, MIN( 1._r_std, factor(:) ) ) |
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275 | |
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276 | estab_rate_max_tree(:) = estab_rate_max_climate_tree(:) * factor(:) |
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277 | |
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278 | ! |
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279 | ! 3.3 Modulate grass establishment rate. |
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280 | ! If canopy is not closed (fpc < fpc_crit-0.05), normal establishment. |
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281 | ! If canopy is closed, establishment is reduced by a factor 4. |
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282 | ! Factor is linear between these two bounds. |
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283 | ! This is different from the original DGVM where a step function is |
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284 | ! used at fpc_crit-0.05 (This can lead to small oscillations, |
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285 | ! without consequences however). |
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286 | ! |
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287 | |
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288 | factor(:) = 1. - 15. * ( sumfpc(:) - (fpc_crit-.05) ) |
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289 | factor(:) = MAX( 0.25_r_std, MIN( 1._r_std, factor(:) ) ) |
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290 | |
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291 | estab_rate_max_grass(:) = estab_rate_max_climate_grass(:) * factor(:) |
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292 | |
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293 | ! |
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294 | ! 4 do establishment for natural PFTs |
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295 | ! |
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296 | |
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297 | d_ind(:,:) = 0.0 |
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298 | |
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299 | DO j = 2,nvm |
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300 | |
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301 | ! only for natural PFTs |
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302 | |
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303 | IF ( natural(j) ) THEN |
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304 | |
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305 | ! |
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306 | ! 4.1 PFT expansion across the grid box. Not to be confused with areal |
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307 | ! coverage. |
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308 | ! |
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309 | |
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310 | IF ( treat_expansion ) THEN |
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311 | |
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312 | ! only treat plants that are regenerative and present and still can expand |
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313 | |
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314 | DO i = 1, npts |
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315 | |
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316 | IF ( PFTpresent(i,j) .AND. & |
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317 | ( everywhere(i,j) .LT. 1. ) .AND. & |
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318 | ( regenerate(i,j) .GT. regenerate_crit ) ) THEN |
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319 | |
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320 | ! from how many sides is the grid box invaded (separate x and y directions |
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321 | ! because resolution may be strongly anisotropic) |
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322 | ! |
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323 | ! For the moment we only look into 4 direction but that can be extanded (JP) |
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324 | ! |
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325 | nfrontx = 0 |
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326 | IF ( neighbours(i,3) .GT. 0 ) THEN |
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327 | IF ( everywhere(neighbours(i,3),j) .GT. 1.-min_stomate ) nfrontx = nfrontx+1 |
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328 | ENDIF |
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329 | IF ( neighbours(i,7) .GT. 0 ) THEN |
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330 | IF ( everywhere(neighbours(i,7),j) .GT. 1.-min_stomate ) nfrontx = nfrontx+1 |
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331 | ENDIF |
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332 | |
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333 | nfronty = 0 |
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334 | IF ( neighbours(i,1) .GT. 0 ) THEN |
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335 | IF ( everywhere(neighbours(i,1),j) .GT. 1.-min_stomate ) nfronty = nfronty+1 |
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336 | ENDIF |
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337 | IF ( neighbours(i,5) .GT. 0 ) THEN |
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338 | IF ( everywhere(neighbours(i,5),j) .GT. 1.-min_stomate ) nfronty = nfronty+1 |
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339 | ENDIF |
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340 | |
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341 | everywhere(i,j) = & |
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342 | everywhere(i,j) + migrate(j) * dt/one_year * & |
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343 | ( nfrontx / resolution(i,1) + nfronty / resolution(i,2) ) |
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344 | |
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345 | IF ( .NOT. need_adjacent(i,j) ) THEN |
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346 | |
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347 | ! in that case, we also assume that the PFT expands from places within |
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348 | ! the grid box (e.g., oasis). |
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349 | |
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350 | everywhere(i,j) = & |
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351 | everywhere(i,j) + migrate(j) * dt/one_year * & |
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352 | 2. * SQRT( pi*everywhere(i,j)/(resolution(i,1)*resolution(i,2)) ) |
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353 | |
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354 | ENDIF |
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355 | |
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356 | everywhere(i,j) = MIN( everywhere(i,j), 1._r_std ) |
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357 | |
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358 | ENDIF |
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359 | |
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360 | ENDDO |
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361 | |
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362 | ENDIF ! treat expansion? |
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363 | |
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364 | ! |
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365 | ! 4.2 establishment rate |
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366 | ! - Is lower if the PFT is only present in a small part of the grid box |
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367 | ! (after its introduction), therefore multiplied by "everywhere". |
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368 | ! - Is divided by the number of PFTs that compete ("spacefight"). |
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369 | ! - Is modulated by space availability (avail_tree, avail_grass). |
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370 | ! |
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371 | |
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372 | IF ( tree(j) ) THEN |
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373 | |
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374 | ! 4.2.1 present and regenerative trees |
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375 | |
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376 | WHERE ( PFTpresent(:,j) .AND. ( regenerate(:,j) .GT. regenerate_crit ) ) |
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377 | |
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378 | |
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379 | d_ind(:,j) = estab_rate_max_tree(:)*everywhere(:,j)/spacefight_tree(:) * & |
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380 | avail_tree(:) * dt/one_year |
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381 | |
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382 | ENDWHERE |
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383 | |
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384 | ELSE |
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385 | |
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386 | ! 4.2.2 present and regenerative grasses |
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387 | |
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388 | WHERE ( PFTpresent(:,j) .AND. ( regenerate(:,j) .GT. regenerate_crit ) ) |
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389 | |
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390 | d_ind(:,j) = estab_rate_max_grass(:)*everywhere(:,j)/spacefight_grass(:) * & |
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391 | avail_grass(:) * dt/one_year |
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392 | |
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393 | ENDWHERE |
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394 | |
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395 | ENDIF ! tree/grass |
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396 | |
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397 | ! |
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398 | ! 4.3 herbivores reduce establishment rate |
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399 | ! We suppose that saplings are vulnerable during a given time after establishment. |
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400 | ! This is taken into account by preventively reducing the establishment rate. |
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401 | ! |
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402 | |
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403 | IF ( ok_herbivores ) THEN |
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404 | |
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405 | d_ind(:,j) = d_ind(:,j) * EXP( - tau_eatup/herbivores(:,j) ) |
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406 | |
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407 | ENDIF |
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408 | |
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409 | ! |
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410 | ! 4.4 be sure that ind*cn_ind does not exceed 1 |
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411 | ! |
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412 | |
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413 | WHERE ( ( d_ind(:,j) .GT. 0.0 ) .AND. & |
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414 | ( (ind(:,j)+d_ind(:,j))*cn_ind(:,j) .GT. 1. ) ) |
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415 | |
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416 | d_ind(:,j) = MAX( 1._r_std / cn_ind(:,j) - ind(:,j), 0._r_std ) |
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417 | |
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418 | ENDWHERE |
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419 | |
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420 | ! |
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421 | ! 4.5 new properties where there is establishment ( d_ind > 0 ) |
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422 | ! |
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423 | |
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424 | ! 4.5.1 biomass. |
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425 | ! Add biomass only if d_ind, over one year, is of the order of ind. |
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426 | ! (If we don't do this, the biomass density can become very low). |
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427 | ! In that case, take biomass from the atmosphere. |
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428 | |
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429 | ! compare establishment rate and present number of inidivuals |
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430 | many_new(:) = ( d_ind(:,j) .GT. 0.1 * ind(:,j) ) |
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431 | |
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432 | ! gives a better vectorization of the VPP |
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433 | |
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434 | IF ( ANY( many_new(:) ) ) THEN |
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435 | |
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436 | DO k = 1, nparts |
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437 | |
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438 | WHERE ( many_new(:) ) |
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439 | |
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440 | bm_new(:) = d_ind(:,j) * bm_sapl(j,k) / veget_max (:,j) |
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441 | |
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442 | biomass(:,j,k) = biomass(:,j,k) + bm_new(:) |
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443 | |
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444 | !NV passage 2D |
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445 | co2_to_bm(:,j) = co2_to_bm(:,j) + bm_new(:) / dt |
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446 | |
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447 | ENDWHERE |
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448 | |
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449 | ENDDO |
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450 | |
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451 | ! reset leaf ages. Should do a real calculation like in the npp routine, |
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452 | ! but this case is rare and not worth messing around. |
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453 | |
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454 | WHERE ( many_new(:) ) |
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455 | leaf_age(:,j,1) = 0.0 |
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456 | leaf_frac(:,j,1) = 1.0 |
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457 | ENDWHERE |
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458 | |
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459 | DO m = 2, nleafages |
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460 | |
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461 | WHERE ( many_new(:) ) |
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462 | leaf_age(:,j,m) = 0.0 |
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463 | leaf_frac(:,j,m) = 0.0 |
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464 | ENDWHERE |
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465 | |
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466 | ENDDO |
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467 | |
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468 | ENDIF ! establishment rate is large |
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469 | |
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470 | WHERE ( d_ind(:,j) .GT. 0.0 ) |
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471 | |
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472 | ! 4.5.2 age decreases |
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473 | |
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474 | age(:,j) = age(:,j) * ind(:,j) / ( ind(:,j) + d_ind(:,j) ) |
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475 | |
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476 | ! 4.5.3 new number of individuals |
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477 | |
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478 | ind(:,j) = ind(:,j) + d_ind(:,j) |
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479 | |
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480 | ENDWHERE |
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481 | |
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482 | ! |
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483 | ! 4.6 eventually convert excess sapwood to heartwood |
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484 | ! |
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485 | |
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486 | IF ( tree(j) ) THEN |
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487 | |
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488 | sm2(:) = 0.0 |
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489 | |
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490 | WHERE ( d_ind(:,j) .GT. 0.0 ) |
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491 | |
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492 | ! ratio of above / total sap parts |
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493 | sm_at(:) = biomass(:,j,isapabove) / & |
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494 | ( biomass(:,j,isapabove) + biomass(:,j,isapbelow) ) |
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495 | |
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496 | ! woodmass of an individual |
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497 | |
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498 | woodmass(:) = & |
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499 | ( biomass(:,j,isapabove) + biomass(:,j,isapbelow) + & |
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500 | biomass(:,j,iheartabove) + biomass(:,j,iheartbelow) ) / ind(:,j) |
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501 | |
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502 | ! crown area (m**2) depends on stem diameter (pipe model) |
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503 | dia(:) = ( woodmass(:) / ( pipe_density * pi/4. * pipe_tune2 ) ) & |
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504 | ** ( 1. / ( 2. + pipe_tune3 ) ) |
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505 | |
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506 | b1(:) = pipe_k1 / ( sla(j) * pipe_density*pipe_tune2 * dia(:)**pipe_tune3 ) * & |
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507 | ind(:,j) |
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508 | sm2(:) = lm_lastyearmax(:,j) / b1(:) |
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509 | |
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510 | ENDWHERE |
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511 | |
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512 | WHERE ( ( d_ind(:,j) .GT. 0.0 ) .AND. & |
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513 | ( biomass(:,j,isapabove) + biomass(:,j,isapbelow) ) .GT. sm2(:) ) |
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514 | |
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515 | biomass(:,j,iheartabove) = biomass(:,j,iheartabove) + & |
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516 | ( biomass(:,j,isapabove) - sm2(:) * sm_at(:) ) |
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517 | biomass(:,j,isapabove) = sm2(:) * sm_at(:) |
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518 | |
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519 | biomass(:,j,iheartbelow) = biomass(:,j,iheartbelow) + & |
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520 | ( biomass(:,j,isapbelow) - sm2(:) * (1. - sm_at) ) |
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521 | biomass(:,j,isapbelow) = sm2(:) * (1. - sm_at(:)) |
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522 | |
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523 | ENDWHERE |
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524 | |
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525 | ENDIF ! tree |
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526 | |
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527 | ENDIF ! natural |
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528 | |
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529 | ENDDO ! loop over pfts |
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530 | |
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531 | ! |
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532 | ! 5 history |
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533 | ! |
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534 | |
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535 | d_ind = d_ind / dt |
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536 | |
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537 | CALL histwrite (hist_id_stomate, 'IND_ESTAB', itime, d_ind, npts*nvm, horipft_index) |
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538 | |
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539 | IF (bavard.GE.4) WRITE(numout,*) 'Leaving establish' |
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540 | |
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541 | END SUBROUTINE establish |
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542 | |
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543 | END MODULE lpj_establish |
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