1 | ! ================================================================================================================================= |
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2 | ! MODULE : stomate_growth_res_lim |
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3 | ! |
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4 | ! CONTACT : orchidee-help _at_ ipsl.jussieu.fr |
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5 | ! |
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6 | ! LICENCE : IPSL (2006) |
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7 | ! This software is governed by the CeCILL licence see ORCHIDEE/ORCHIDEE_CeCILL.LIC |
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8 | ! |
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9 | !>\BRIEF Plant growth and C-allocation among the biomass components (leaves, wood, roots, fruit, reserves) |
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10 | !! is calculated making use of the resource limitation scheme proposed by Friedlingstein et al 1999. |
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11 | !! |
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12 | !!\n DESCRIPTION: This module calculates three processes: (1) daily maintenance respiration based on the half-hourly |
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13 | !! respiration calculated in stomate_resp.f90, (2) the allocation fractions to the different biomass |
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14 | !! components based on the resource-limitation approach and (3) the allocatable biomass as the residual |
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15 | !! of GPP-Ra. Multiplication of the allocation fractions and allocatable biomass given the changes in |
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16 | !! biomass pools. |
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17 | !! |
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18 | !! RECENT CHANGE(S): Until 1.9.6 the calculations in this routine were distributed over stomate_alloc.f90 and |
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19 | !! stomate_npp.f90. Given the strong dependencies of both routines they were merged in this module. |
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20 | !! At the same time an alternative growth module (stomate_growth_fun_all.f90) was introduced. |
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21 | !! |
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22 | !! REFERENCE(S) : - Friedlingstein, P., G. Joel, C.B. Field, and Y. Fung (1999), Towards an allocation |
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23 | !! scheme for global terrestrial carbon models, Global Change Biology, 5, 755-770.\n |
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24 | !! |
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25 | !! SVN : |
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26 | !! $HeadURL$ |
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27 | !! $Date$ |
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28 | !! $Revision$ |
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29 | !! \n |
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30 | !_ ================================================================================================================================ |
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31 | |
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32 | MODULE stomate_growth_res_lim |
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33 | |
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34 | ! Modules used: |
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35 | |
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36 | USE ioipsl_para |
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37 | USE pft_parameters |
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38 | USE stomate_data |
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39 | USE constantes |
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40 | USE constantes_soil |
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41 | |
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42 | IMPLICIT NONE |
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43 | |
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44 | ! Private & public routines |
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45 | |
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46 | PRIVATE |
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47 | PUBLIC growth_res_lim_clear, growth_res_lim |
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48 | |
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49 | ! Variables shared by all subroutines in this module |
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50 | |
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51 | LOGICAL, SAVE :: firstcall = .TRUE. !! Is this the first call? (true/false) |
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52 | |
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53 | CONTAINS |
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54 | |
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55 | |
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56 | !! ================================================================================================================================ |
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57 | !! SUBROUTINE : growth_res_lim_clear |
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58 | !! |
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59 | !>\BRIEF Set the flag ::firstcall to .TRUE. and as such activate section |
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60 | !! 1.1 of the subroutine alloc (see below).\n |
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61 | !! |
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62 | !_ ================================================================================================================================ |
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63 | |
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64 | SUBROUTINE growth_res_lim_clear |
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65 | firstcall = .TRUE. |
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66 | END SUBROUTINE growth_res_lim_clear |
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67 | |
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68 | |
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69 | !! ================================================================================================================================ |
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70 | !! SUBROUTINE : growth_res_lim |
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71 | !! |
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72 | !>\BRIEF Calculate NPP as the difference between GPP and respiration (= growth + |
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73 | !! maintenance respiration). Distribute NPP over all compartments (carbon reserves, |
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74 | !! aboveground sapwood, belowground sapwood, root, fruits and leaves following |
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75 | !! Friedlingstein et al. (1999). |
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76 | !! |
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77 | !! DESCRIPTION : NPP is calculated from three components: Gross Primary Productivity |
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78 | !! (GPP), maintenance respiration and growth respiration |
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79 | !! (all in @tex $ gC.m^{-2}dt^{-1} $ @endtex), following the convention that positive |
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80 | !! fluxes denote fluxes from the plants to the atmosphere. GPP is the input variable from |
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81 | !! which, in the end, NPP or total allocatable biomass @tex $(gC.m^{-2})$ @endtex is |
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82 | !! calculated. Net primary production is then calculated as:\n |
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83 | !! NPP = GPP - growth_resp - maint-resp [eq. 1]\n |
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84 | !! |
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85 | !! The calculation of maintenance respiration is done in routine stomate_resp.f90. |
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86 | !! Maintenance respiration is calculated for the whole plant and is therefore removed from |
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87 | !! the total allocatable biomass. In order to prevent all allocatable biomass from being |
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88 | !! used for maintenance respiration, a limit fraction of total allocatable biomass, tax_max, |
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89 | !! is defined (in the variables declaration). If maintenance respiration exceeds tax_max |
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90 | !! (::bm_tax_max), the maximum allowed allocatable biomass will be respired and the remaining |
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91 | !! respiration, required in excess of tax_max, is taken out from tissues already present in |
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92 | !! the plant biomass.\n |
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93 | !! |
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94 | !! After total allocatable biomass has been updated by removing maintenance respiration, |
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95 | !! total allocatable biomass is distributed to all plant compartments according to the |
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96 | !! f_alloc fractions also calculated in this routine.\n |
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97 | !! |
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98 | !! The philosophy underlying the allocation scheme is that allocation patterns |
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99 | !! result from evolved responses that adjust carbon investments to facilitate capture of |
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100 | !! most limiting resources i.e. light, water and mineral nitrogen. The implemented scheme |
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101 | !! calculates the limitation of light, water and nitrogen. However, nitrogen is not a |
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102 | !! prognostic variable of the model and therefore soil temperature and soil moisture |
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103 | !! are used as a proxy for soil nitrogen availability.\n |
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104 | !! Sharpe & Rykiel (1991) proposed a generic relationship between the allocation of |
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105 | !! carbon to a given plant compartment and the availability of a particular resource:\n |
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106 | !! \latexonly |
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107 | !! \input{alloc1.tex} |
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108 | !! \endlatexonly |
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109 | !! \n |
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110 | !! where A is the allocation of biomass production (NPP) to a given compartment (either |
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111 | !! leaves, stem, or roots). Xi and Yj are resource availabilities (e.g. light, water, |
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112 | !! nutrient). For a given plant compartment, a resource can be of type X or Y. An increase |
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113 | !! in a X-type resource will increase the allocation to compartment A. An increase in a |
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114 | !! Y-type resource will, however, lead to a decrease in carbon allocation to that compartment. |
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115 | !! In other words, Y-type resources are those for which uptake increases with increased |
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116 | !! investment in the compartment in question. X-type resources, as a consequence of |
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117 | !! trade-offs, are the opposite. For example, water is a Y-type resource for root allocation. |
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118 | !! Water-limited conditions should promote carbon allocation to roots, which enhance water |
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119 | !! uptake and hence minimize plant water stress. Negative relationships between investment |
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120 | !! and uptake arise when increased investment in one compartment leads, as required for |
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121 | !! conservation of mass, to decreased investment in a component involved in uptake of |
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122 | !! that resource.\n |
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123 | !! |
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124 | !! The implemented scheme allocates carbon to the following components:\n |
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125 | !! - Carbon reserves;\n |
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126 | !! - Aboveground sapwood;\n |
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127 | !! - Belowground sapwood;\n |
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128 | !! - Roots;\n |
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129 | !! - Fruits/seeds and\n |
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130 | !! - Leaves. |
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131 | !! \n |
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132 | !! |
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133 | !! The allocation to fruits and seeds is simply a 10% "tax" of the total biomass |
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134 | !! production.\n |
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135 | !! Following carbohydrate use to support budburst and initial growth, the |
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136 | !! carbohydrate reserve is refilled. The daily amount of carbon allocated to the |
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137 | !! reserve pool is proportional to leaf+root allocation (::LtoLSR and ::RtoLSR). |
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138 | !! Sapwood and root allocation (respectively ::StoLSR and ::RtoLSR) are proportional |
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139 | !! to the estimated light and soil (water and nitrogen) stress (::Limit_L and |
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140 | !! ::Limit_NtoW). Further, Sapwood allocation is separated in belowground sapwood |
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141 | !! and aboveground sapwood making use of the parameter (:: alloc_sap_above_tree |
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142 | !! or ::alloc_sap_above_grass). For trees partitioning between above and |
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143 | !! belowground compartments is a function of PFT age. Leaf allocation (::LtoLSR) |
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144 | !! is calculated as the residual of root and sapwood |
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145 | !! allocation (LtoLSR(:) = 1. - RtoLSR(:) - StoLSR(:).\n |
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146 | !! |
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147 | !! Growth respiration is calculated as a fraction of allocatable biomass for each part |
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148 | !! of the plant. The fraction coefficient ::frac_growth_resp is defined in |
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149 | !! stomate_constants.f90 and is currently set to be the same for all plant compartments. |
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150 | !! Is it thus assumed that it takes as much energy to grow a leaf as it is to grow |
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151 | !! wood. Allocatable biomass of all plant compartments are updated by removing what is |
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152 | !! lost through growth respiration. Net allocatable biomass (total allocatable biomass |
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153 | !! after maintenance and growth respiration) is added to the current biomass for each |
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154 | !! plant compartment.\n |
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155 | !! |
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156 | !! Finally, leaf age and plant age are updated. Leaf age is described with the concept |
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157 | !! of "leaf age classes". A number of leaf age classes (::nleafages) is defined in |
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158 | !! stomate_constants.f90. Each leaf age class contains a fraction (::leaf_frac) of the |
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159 | !! total leaf biomass. When new biomass is added to leaves, the age of the biomass in |
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160 | !! the youngest leaf age class is decreased. The fractions of leaves in the other leaf |
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161 | !! ages classes are also updated as the total biomass has increased. Plant age is |
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162 | !! updated first by increasing the age of the previous biomass by one time step, and |
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163 | !! then by adjusting this age as the average of the ages of the previous and the new |
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164 | !! biomass. |
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165 | !! |
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166 | !! RECENT CHANGE(S): Until 1.9.6 the calculations in this routine were distributed over |
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167 | !! stomate_alloc.f90 and stomate_npp.f90. Given the strong dependencies of both routines |
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168 | !! they were merged in a single module. The underlying science and principles were not |
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169 | !! changed. This new module (stomate_growth_res_lim) exactely reproduces the results |
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170 | !! from the previous implementation (stomate_alloc and stomate_npp). At the same time an |
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171 | !! alternative growth module (stomate_growth_fun_all.f90), based on the pipe-model, was |
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172 | !! added to the code. |
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173 | !! |
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174 | !! MAIN OUTPUT VARIABLE(S): ::npp and ::biomass; fraction of NPP that is allocated to the |
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175 | !! six different biomass compartments (leaves, roots, above and belowground wood, |
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176 | !! carbohydrate reserves and fruits). DIMENSION(npts,nvm,nparts). |
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177 | !! |
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178 | !! REFERENCE(S) : |
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179 | !! - Friedlingstein, P., G. Joel, C.B. Field, and Y. Fung (1999), Towards an allocation |
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180 | !! scheme for global terrestrial carbon models, Global Change Biology, 5, 755-770.\n |
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181 | !! - Krinner G, Viovy N, de Noblet-Ducoudr N, Ogee J, Polcher J, Friedlingstein P, |
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182 | !! Ciais P, Sitch S, Prentice I C (2005) A dynamic global vegetation model for studies |
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183 | !! of the coupled atmosphere-biosphere system. Global Biogeochemical Cycles, 19, GB1015, |
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184 | !! doi: 10.1029/2003GB002199.\n |
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185 | !! - F.W.T.Penning De Vries, A.H.M. Brunsting, H.H. Van Laar. 1974. Products, requirements |
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186 | !! and efficiency of biosynthesis a quantitative approach. Journal of Theoretical Biology, |
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187 | !! Volume 45, Issue 2, June 1974, Pages 339-377. |
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188 | !! - Sharpe, P.J.H., and Rykiel, E.J. (1991), Modelling integrated response of plants |
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189 | !! to multiple stresses. In: Response of Plants to Multiple Stresses (eds Mooney, H.A., |
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190 | !! Winner, W.E., Pell, E.J.), pp. 205-224, Academic Press, San Diego, CA.\n |
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191 | !! |
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192 | !! +++++++++++++++++++++ |
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193 | !! MAKE A NEW FLOW CHART |
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194 | !! +++++++++++++++++++++ |
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195 | !! FLOWCHART : |
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196 | !! \latexonly |
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197 | !! \includegraphics[scale=0.14]{stomate_npp_flow.jpg} |
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198 | !! \endlatexonly |
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199 | !! \n |
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200 | !! \latexonly |
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201 | !! \includegraphics[scale=0.5]{allocflow.jpg} |
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202 | !! \endlatexonly |
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203 | !! \n |
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204 | !_ ================================================================================================================================ |
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205 | |
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206 | SUBROUTINE growth_res_lim (npts, dt, lai, veget_max, & |
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207 | PFTpresent, senescence, when_growthinit, moiavail_week, & |
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208 | soilhum_month, tsoil_month, gpp, resp_maint_part, & |
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209 | resp_maint, resp_growth, npp, biomass, & |
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210 | age, leaf_age, leaf_frac) |
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211 | !, use_reserve) |
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212 | |
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213 | |
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214 | !! 0. Variable and parameter declaration |
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215 | |
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216 | !! 0.1 Input variables |
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217 | |
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218 | INTEGER(i_std), INTENT(in) :: npts !! Domain size - number of grid cells |
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219 | !! (unitless) |
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220 | REAL(r_std), INTENT(in) :: dt !! Time step of the simulations for stomate |
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221 | !! (days) |
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222 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: lai !! PFT leaf area index |
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223 | !! @tex $(m^2 m^{-2})$ @endtex |
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224 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: veget_max !! PFT "Maximal" coverage fraction of a PFT |
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225 | !! @tex $(m^2 m^{-2})$ @endtex |
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226 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: when_growthinit !! Days since beginning of growing season |
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227 | !! (days) |
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228 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: moiavail_week !! PFT moisture availability - integrated |
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229 | !! over a week (0-1, unitless) |
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230 | REAL(r_std), DIMENSION(npts,nvm), INTENT(in) :: gpp !! PFT gross primary productivity |
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231 | !! @tex $(gC.m^{-2}dt^{-1})$ @endtex |
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232 | REAL(r_std), DIMENSION(npts,nbdl), INTENT(in) :: tsoil_month !! PFT soil temperature - integrated over |
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233 | !! a month (K) |
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234 | REAL(r_std), DIMENSION(npts,nbdl), INTENT(in) :: soilhum_month !! PFT soil humidity - integrated over a |
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235 | !! month (0-1, unitless) |
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236 | REAL(r_std), DIMENSION(npts,nvm,nparts), INTENT(in) :: resp_maint_part !! Maintenance respiration of different plant |
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237 | !! parts @tex $(gC.m^{-2}dt^{-1})$ @endtex |
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238 | LOGICAL, DIMENSION(npts,nvm), INTENT(in) :: senescence !! Is the PFT senescent? - only for |
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239 | !! deciduous trees (true/false) |
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240 | LOGICAL, DIMENSION(npts,nvm), INTENT(in) :: PFTpresent !! PFT exists (true/false) |
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241 | |
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242 | !! 0.2 Output variables |
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243 | |
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244 | REAL(r_std), DIMENSION(npts,nvm), INTENT(out) :: resp_maint !! PFT maintenance respiration |
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245 | !! @tex $(gC.m^{-2}dt^{-1})$ @endtex |
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246 | REAL(r_std), DIMENSION(npts,nvm), INTENT(out) :: resp_growth !! PFT growth respiration |
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247 | !! @tex $(gC.m^{-2}dt^{-1})$ @endtex |
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248 | REAL(r_std), DIMENSION(npts,nvm), INTENT(out) :: npp !! PFT net primary productivity |
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249 | !! @tex $(gC.m^{-2}dt^{-1})$ @endtex |
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250 | |
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251 | !! 0.3 Modified variables |
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252 | |
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253 | REAL(r_std), DIMENSION(npts,nvm), INTENT(inout) :: age !! PFT age (years) |
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254 | REAL(r_std), DIMENSION(npts,nvm,nparts,nelements), INTENT(inout) :: biomass !! PFT total biomass |
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255 | !! @tex $(gC m^{-2})$ @endtex |
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256 | REAL(r_std), DIMENSION(npts,nvm,nleafages), INTENT(inout):: leaf_age !! PFT age of different leaf classes |
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257 | !! (days) |
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258 | REAL(r_std), DIMENSION(npts,nvm,nleafages), INTENT(inout):: leaf_frac !! PFT fraction of leaves in leaf age class |
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259 | !! (0-1, unitless) |
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260 | |
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261 | !! 0.4 Local variables |
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262 | |
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263 | INTEGER(i_std) :: i,j,k,l,m !! Indices (unitless) |
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264 | REAL(r_std) :: reserve_time !! Maximum number of days during which |
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265 | !! carbohydrate reserve may be used (days) |
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266 | REAL(r_std), DIMENSION(nvm) :: lai_happy_old !! Lai threshold below which carbohydrate |
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267 | !! reserve may be used |
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268 | !! @tex $(m^2 m^{-2})$ @endtex |
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269 | REAL(r_std), DIMENSION(npts) :: limit_L !! Lights stress (0-1, unitless) |
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270 | REAL(r_std), DIMENSION(npts) :: limit_N !! Total nitrogen stress (0-1, unitless) |
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271 | REAL(r_std), DIMENSION(npts) :: limit_N_temp !! Stress from soil temperature on nitrogen |
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272 | !! mineralisation (0-1, unitless) |
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273 | REAL(r_std), DIMENSION(npts) :: limit_N_hum !! Stress from soil humidity on nitrogen |
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274 | !! mineralisation (0-1, unitless) |
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275 | REAL(r_std), DIMENSION(npts) :: limit_W !! Soil water stress (0-1, unitless) |
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276 | REAL(r_std), DIMENSION(npts) :: limit_WorN !! Most limiting factor in the soil: |
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277 | !! nitrogen or water (0-1, unitless) |
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278 | REAL(r_std), DIMENSION(npts) :: limit !! Most limiting factor: amongst limit_N, |
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279 | !! limit_W and limit_L (0-1, unitless) |
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280 | REAL(r_std), DIMENSION(npts) :: t_nitrogen !! Preliminairy soil temperature stress |
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281 | !! used as a proxy for nitrogen stress (K) |
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282 | REAL(r_std), DIMENSION(npts) :: h_nitrogen !! Preliminairy soil humidity stress used |
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283 | !! as a proxy for nitrogen stress |
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284 | !! (unitless) |
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285 | REAL(r_std), DIMENSION(npts) :: rpc !! Scaling factor for integrating vertical |
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286 | !! soil profiles (unitless) |
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287 | REAL(r_std), DIMENSION(npts) :: LtoLSR !! Ratio between leaf-allocation and |
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288 | !! (leaf+sapwood+root)-allocation |
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289 | !! (0-1, unitless) |
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290 | REAL(r_std), DIMENSION(npts) :: StoLSR !! Ratio between sapwood-allocation and |
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291 | !! (leaf+sapwood+root)-allocation |
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292 | !! (0-1, unitless) |
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293 | REAL(r_std), DIMENSION(npts) :: RtoLSR !! Ratio between root-allocation and |
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294 | !! (leaf+sapwood+root)-allocation |
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295 | !! (0-1, unitless) |
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296 | REAL(r_std), DIMENSION(npts) :: carb_rescale !! Rescaling factor for allocation factors |
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297 | !! if carbon is allocated to carbohydrate |
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298 | !! reserve (0-1, unitless) |
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299 | REAL(r_std), DIMENSION(npts) :: natveg_tot !! Total natural vegetation cover on |
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300 | !! natural part of the grid cell |
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301 | !! (0-1, unitless) |
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302 | REAL(r_std), DIMENSION(npts) :: lai_nat !! Average LAI on natural part of the grid |
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303 | !! cell @tex $(m^2 m^{-2})$ @endtex |
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304 | REAL(r_std), DIMENSION(npts) :: alloc_sap_above !! Fraction of sapwood |
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305 | !! allocation to above ground sapwood |
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306 | !! (0-1, unitless) |
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307 | REAL(r_std), DIMENSION(npts) :: bm_add !! Biomass increase @tex $(gC.m^{-2})$ @endtex |
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308 | REAL(r_std), DIMENSION(npts) :: bm_new !! New biomass @tex $(gC.m^{-2})$ @endtex |
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309 | REAL(r_std), DIMENSION(npts) :: bm_tax_max !! Maximum part of allocatable biomass used for |
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310 | !! respiration @tex $(gC.m^{-2})$ @endtex |
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311 | REAL(r_std), DIMENSION(npts) :: bm_pump !! Biomass that remains to be taken away |
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312 | !! @tex $(gC.m^{-2})$ @endtex |
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313 | REAL(r_std), DIMENSION(npts,nvm) :: transloc_leaf !! Fraction of carbohydrate reserve used |
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314 | !! (::use_reserve) to support leaf growth |
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315 | !! @tex $(gC m^{-2})$ @endtex |
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316 | REAL(r_std), DIMENSION(npts,nvm) :: use_reserve !! Mass taken from carbohydrate reserve |
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317 | !! @tex $(gC m^{-2})$ @endtex |
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318 | REAL(r_std), DIMENSION(npts,nvm) :: bm_create !! Biomass created when biomass<0 because of dark |
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319 | !! respiration @tex $(gC.m^{-2})$ @endtex |
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320 | REAL(r_std), DIMENSION(npts,nvm) :: bm_alloc_tot !! Allocatable biomass for the whole plant |
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321 | !! @tex $(gC.m^{-2})$ @endtex |
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322 | REAL(r_std), DIMENSION(npts,nvm) :: dia !! Tree diameter (cm) |
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323 | REAL(r_std), DIMENSION(npts,nvm) :: ltor !! Leaf to root ratio (unitless) |
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324 | REAL(r_std), DIMENSION(npts,nvm) :: leaf_mass_young !! Leaf biomass in youngest leaf age class |
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325 | !! @tex $(gC m^{-2})$ @endtex |
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326 | REAL(r_std), DIMENSION(npts,nvm) :: lm_old !! Variable to store leaf biomass from |
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327 | !! previous time step |
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328 | !! @tex $(gC m^{-2})$ @endtex |
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329 | REAL(r_std), DIMENSION(npts,nvm) :: lai_around !! lai on natural part of the grid cell, or |
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330 | !! of agricultural PFTs |
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331 | !! @tex $(m^2 m^{-2})$ @endtex |
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332 | REAL(r_std), DIMENSION(npts,nvm) :: veget_max_nat !! Vegetation cover of natural PFTs on the |
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333 | !! grid cell (agriculture masked) |
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334 | !! (0-1, unitless) |
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335 | REAL(r_std), DIMENSION(npts,nparts) :: resp_growth_part !! Growth respiration of different plant parts |
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336 | !! @tex $(gC.m^{-2}dt^{-1})$ @endtex |
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337 | REAL(r_std), DIMENSION(npts,nvm,nparts) :: f_alloc !! PFT fraction of NPP that is allocated to |
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338 | !! the different components (0-1, unitless) |
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339 | REAL(r_std), DIMENSION(npts,nvm,nparts,nelements) :: bm_alloc !! PFT biomass increase, i.e. NPP per plant part |
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340 | !! @tex $(gC.m^{-2}dt^{-1})$ @endtex**2 |
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341 | REAL(r_std), SAVE, DIMENSION(0:nbdl) :: z_soil !! Variable to store depth of the different |
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342 | !! soil layers (m) |
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343 | !_ ================================================================================================================================= |
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344 | |
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345 | |
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346 | !! 1. Initialize |
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347 | |
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348 | IF (bavard.GE.3) WRITE(numout,*) 'Entering resource limited growth' |
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349 | |
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350 | !! 1.1 First call only |
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351 | IF ( firstcall ) THEN |
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352 | |
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353 | !! 1.1.1 Initialization |
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354 | L0(2:nvm) = un - R0 - S0(2:nvm) |
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355 | IF ((MINVAL(L0(2:nvm)) .LT. zero) .OR. (MAXVAL(S0(2:nvm)) .EQ. un)) THEN |
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356 | |
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357 | CALL ipslerr_p (3,'in module stomate_alloc', & |
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358 | & 'Something wrong happened', & |
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359 | & 'L0 negative or division by zero if S0 = 1', & |
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360 | & '(Check your parameters.)') |
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361 | |
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362 | ENDIF |
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363 | |
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364 | |
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365 | !! 1.1.2 Copy the depth of the different soil layers (number of layers=nbdl) |
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366 | ! previously calculated as variable diaglev in routines sechiba.f90 and slowproc.f90 |
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367 | z_soil(0) = 0. |
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368 | z_soil(1:nbdl) = diaglev(1:nbdl) |
---|
369 | |
---|
370 | !! 1.1.3 Print flags and parameter settings |
---|
371 | WRITE(numout,*) 'allocation:' |
---|
372 | WRITE(numout,'(a)',ADVANCE='NO') ' > We' |
---|
373 | !IF ( .NOT. ok_minres ) WRITE(numout,'(a,$)') ' do NOT' |
---|
374 | WRITE(numout,*) 'try to reach a minumum reservoir when severely stressed.' |
---|
375 | WRITE(numout,*) ' > Time delay (days) to build leaf mass (::tau_leafinit): ', tau_leafinit |
---|
376 | WRITE(numout,*) ' > Curvature of root mass with increasing soil depth (::z_nitrogen): ', z_nitrogen |
---|
377 | WRITE(numout,*) ' > Sap allocation above the ground / total sap allocation (0-1, unitless): ' |
---|
378 | WRITE(numout,*) ' grasses (::alloc_sap_above_grass) :', alloc_sap_above_grass |
---|
379 | WRITE(numout,*) ' > Default root alloc fraction (1; ::R0): ', R0 |
---|
380 | WRITE(numout,*) ' > Default sapwood alloc fraction (1; ::S0): ', S0(:) |
---|
381 | WRITE(numout,*) ' > Default fruit allocation (1, ::f_fruit): ', f_fruit |
---|
382 | WRITE(numout,*) ' > Minimum (min_LtoLSR)/maximum (::max_LtoLSR)leaf alloc fraction (0-1, unitless): ',& |
---|
383 | min_LtoLSR,max_LtoLSR |
---|
384 | WRITE(numout,*) ' > Maximum time (days) the carbon reserve can be used:' |
---|
385 | WRITE(numout,*) ' trees (reserve_time_tree):',reserve_time_tree |
---|
386 | WRITE(numout,*) ' grasses (reserve_time_grass):',reserve_time_grass |
---|
387 | |
---|
388 | firstcall = .FALSE. |
---|
389 | |
---|
390 | ENDIF |
---|
391 | |
---|
392 | !! 1.2 Every call |
---|
393 | |
---|
394 | !! 1.2.1 Reset output variable (::f_alloc) |
---|
395 | f_alloc(:,:,:) = zero |
---|
396 | f_alloc(:,:,icarbres) = un |
---|
397 | bm_alloc(:,:,:,icarbon) = zero |
---|
398 | resp_maint(:,:) = zero |
---|
399 | resp_growth(:,:) = zero |
---|
400 | npp(:,:) = zero |
---|
401 | use_reserve(:,:) = zero |
---|
402 | |
---|
403 | |
---|
404 | !! 1.2.2 Proxy for soil nitrogen stress |
---|
405 | ! Nitrogen availability and thus N-stress can not be calculated by the model. Water and |
---|
406 | ! temperature stress are used as proxy under the assumption that microbial activity is |
---|
407 | ! determined by soil temperature and water availability. In turn, microbial activity is |
---|
408 | ! assumed to be an indicator for nitrogen mineralisation and thus its availability. |
---|
409 | |
---|
410 | !! 1.2.2.1 Convolution of nitrogen stress with root profile |
---|
411 | ! Here we calculate preliminary soil temperature and soil humidity stresses that will be used |
---|
412 | ! as proxies for nitrogen stress. Their calculation follows the nitrogen-uptake capacity of roots. |
---|
413 | ! The capacity of roots to take up nitrogen is assumed to decrease exponentially with |
---|
414 | ! increasing soil depth. The curvature of the exponential function describing the |
---|
415 | ! nitrogen-uptake capacity of roots (= root mass * uptake capacity) is given by |
---|
416 | ! ::z_nitrogen. Strictly speaking its unit is meters (m). Despite its units this parameter |
---|
417 | ! has no physical meaning. |
---|
418 | ! Because the roots are described by an exponential function but the soil depth is limited to |
---|
419 | ! ::z_soil(nbdl), the root profile is truncated at ::z_soil(nbdl). For numerical reasons, |
---|
420 | ! the total capacity of the soil profile for nitrogen uptake should be 1. To this aim a scaling |
---|
421 | ! factor (::rpc) is calculated as follows:\n |
---|
422 | ! \latexonly |
---|
423 | ! \input{alloc2.tex} |
---|
424 | ! \endlatexonly |
---|
425 | ! Then temperature (::t_nitrogen) and humidity (::h_nitrogen) proxies for nitrogen stress are |
---|
426 | ! calculated using mean weighted (weighted by nitrogen uptake capacity) soil temperature (::tsoil_month) |
---|
427 | ! or soil moisture (::soil_hum_month) (calculated in stomate_season.f90). |
---|
428 | ! \latexonly |
---|
429 | ! \input{alloc3.tex} |
---|
430 | ! \endlatexonly |
---|
431 | ! \latexonly |
---|
432 | ! \input{alloc4.tex} |
---|
433 | ! \endlatexonl |
---|
434 | ! \n |
---|
435 | ! Scaling factor for integration |
---|
436 | rpc(:) = un / ( un - EXP( -z_soil(nbdl) / z_nitrogen ) ) |
---|
437 | |
---|
438 | ! Integrate over # soil layers |
---|
439 | t_nitrogen(:) = zero |
---|
440 | |
---|
441 | DO l = 1, nbdl ! Loop over # soil layers |
---|
442 | |
---|
443 | t_nitrogen(:) = t_nitrogen(:) + tsoil_month(:,l) * rpc(:) * & |
---|
444 | ( EXP( -z_soil(l-1)/z_nitrogen ) - EXP( -z_soil(l)/z_nitrogen ) ) |
---|
445 | |
---|
446 | ENDDO ! Loop over # soil layers |
---|
447 | |
---|
448 | !---TEMP--- |
---|
449 | WRITE(numout,*) 't_nitrogen, ', t_nitrogen(:) |
---|
450 | !---------- |
---|
451 | |
---|
452 | !! 1.2.2.2 Convolution for soil moisture |
---|
453 | ! Integrate over # soil layers |
---|
454 | h_nitrogen(:) = zero |
---|
455 | |
---|
456 | DO l = 1, nbdl ! Loop over # soil layers |
---|
457 | |
---|
458 | h_nitrogen(:) = & |
---|
459 | h_nitrogen(:) + soilhum_month(:,l) * rpc(:) * & |
---|
460 | ( EXP( -z_soil(l-1)/z_nitrogen ) - EXP( -z_soil(l)/z_nitrogen ) ) |
---|
461 | |
---|
462 | ENDDO ! Loop over # soil layers |
---|
463 | |
---|
464 | !---TEMP--- |
---|
465 | WRITE(numout,*) 'h_nitrogen, ', h_nitrogen(:) |
---|
466 | !---------- |
---|
467 | |
---|
468 | !! 1.2.3 Separate between natural and agrigultural LAI |
---|
469 | ! The model distinguishes different natural PFTs but does not contain information |
---|
470 | ! on whether these PFTs are spatially separated or mixed. In line with the DGVM the |
---|
471 | ! models treats the natural PFT's as mixed. Therefore, the average LAI over the |
---|
472 | ! natural PFTs is calculated to estimate light stress. Agricultural PFTs are spatially |
---|
473 | ! separated. |
---|
474 | natveg_tot(:) = 0.0 |
---|
475 | lai_nat(:) = 0.0 |
---|
476 | |
---|
477 | DO j = 2, nvm ! Loop over # PFTs |
---|
478 | |
---|
479 | IF ( natural(j) ) THEN |
---|
480 | |
---|
481 | ! Mask agricultural vegetation |
---|
482 | veget_max_nat(:,j) = veget_max(:,j) |
---|
483 | |
---|
484 | ELSE |
---|
485 | |
---|
486 | ! Mask natural vegetation |
---|
487 | veget_max_nat(:,j) = zero |
---|
488 | |
---|
489 | ENDIF |
---|
490 | |
---|
491 | ! Sum up fraction of natural space covered by vegetation |
---|
492 | natveg_tot(:) = natveg_tot(:) + veget_max_nat(:,j) |
---|
493 | |
---|
494 | ! Sum up lai |
---|
495 | lai_nat(:) = lai_nat(:) + veget_max_nat(:,j) * lai(:,j) |
---|
496 | |
---|
497 | ENDDO ! Loop over # PFTs |
---|
498 | |
---|
499 | DO j = 2, nvm ! Loop over # PFTs |
---|
500 | |
---|
501 | IF ( natural(j) ) THEN |
---|
502 | |
---|
503 | ! Use the mean LAI over all natural PFTs when estimating light stress |
---|
504 | ! on a specific natural PFT |
---|
505 | lai_around(:,j) = lai_nat(:) |
---|
506 | |
---|
507 | ELSE |
---|
508 | |
---|
509 | ! Use the actual LAI (specific for that PFT) when estimating light |
---|
510 | ! stress on a specific agricultural PFT |
---|
511 | lai_around(:,j) = lai(:,j) |
---|
512 | |
---|
513 | ENDIF |
---|
514 | |
---|
515 | ENDDO ! Loop over # PFTs |
---|
516 | |
---|
517 | |
---|
518 | !! 1.2.4 Calculate LAI threshold below which carbohydrate reserve is used. |
---|
519 | ! Lai_max is a PFT-dependent parameter specified in stomate_constants.f90 |
---|
520 | lai_happy_old(:) = lai_max(:) * lai_max_to_happy |
---|
521 | |
---|
522 | |
---|
523 | !! 1.2.5 Set allocatable biomass |
---|
524 | ! Total allocatable biomass during this time step determined from GPP. |
---|
525 | ! GPP was calculated as CO2 assimilation in enerbil.f90 |
---|
526 | ! This is ignored later in the code if control%ok_functional_allocation is true |
---|
527 | bm_alloc_tot(:,:) = gpp(:,:) * dt |
---|
528 | |
---|
529 | |
---|
530 | !! 2. Use carbohydrate reserve to support growth and update leaf age |
---|
531 | |
---|
532 | ! Save old leaf mass, biomass got last updated in stomate_phenology.f90 |
---|
533 | lm_old(:,:) = biomass(:,:,ileaf,icarbon) |
---|
534 | |
---|
535 | DO j = 2, nvm ! Loop over # PFTs |
---|
536 | |
---|
537 | !! 2.1 Calculate demand for carbohydrate reserve to support leaf and root growth. |
---|
538 | ! Maximum time (days) since start of the growing season during which carbohydrate |
---|
539 | ! may be used |
---|
540 | IF ( is_tree(j) ) THEN |
---|
541 | |
---|
542 | reserve_time = reserve_time_tree |
---|
543 | |
---|
544 | ELSE |
---|
545 | reserve_time = reserve_time_grass |
---|
546 | |
---|
547 | ENDIF |
---|
548 | |
---|
549 | ! Growth is only supported by the use of carbohydrate reserves if the following |
---|
550 | ! conditions are statisfied:\n |
---|
551 | ! - PFT is not senescent;\n |
---|
552 | ! - LAI must be low (i.e. below ::lai_happy_old) and\n |
---|
553 | ! - Day of year of the simulation is in the beginning of the growing season. |
---|
554 | WHERE ( ( biomass(:,j,ileaf,icarbon) .GT. zero ) .AND. ( .NOT. senescence(:,j) ) .AND. & |
---|
555 | ( lai(:,j) .LT. lai_happy_old(j) ) .AND. ( when_growthinit(:,j) .LT. reserve_time ) ) |
---|
556 | |
---|
557 | ! Determine the mass from the carbohydrate reserve that can be used @tex $(gC m^{-2})$ @endtex. |
---|
558 | ! Satisfy the demand or use everything that is available |
---|
559 | ! (i.e. ::biomass(:,j,icarbres,icarbon)). Distribute the demand evenly over the time |
---|
560 | ! required (::tau_leafinit) to develop a minimal canopy from reserves (::lai_happy_old) |
---|
561 | ! Needs to be additive, since reserves could already have been used in stomate_phenology |
---|
562 | ! old use_reserve(:) = & |
---|
563 | ! old MIN( biomass(:,j,icarbres,icarbon), & |
---|
564 | ! old 2._r_std * dt/tau_leafinit * lai_happy_old(j)/ sla(j) ). |
---|
565 | use_reserve(:,j) = MIN( biomass(:,j,icarbres,icarbon), & |
---|
566 | & deux * dt / tau_leafinit * lai_happy_old(j) / sla(j) ) |
---|
567 | |
---|
568 | ! +++CHECK+++ |
---|
569 | !$ use_reserve(:,j) = use_reserve(:,j) + MIN( biomass(:,j,icarbres,icarbon) * 0.1, & |
---|
570 | !$ deux * dt / tau_leafinit * lai_happy_old(j) / sla(j) ) |
---|
571 | ! +++++++++++ |
---|
572 | |
---|
573 | ! Distribute the reserve over leaves and fine roots. |
---|
574 | ! The part of the reserve going to the leaves is the ratio of default leaf allocation to default root and leaf allocation. |
---|
575 | ! The remaining of the reserve is alocated to the roots. |
---|
576 | transloc_leaf(:,j) = L0(j)/(L0(j)+R0) * use_reserve(:,j) |
---|
577 | biomass(:,j,ileaf,icarbon) = biomass(:,j,ileaf,icarbon) + transloc_leaf(:,j) |
---|
578 | biomass(:,j,iroot,icarbon) = biomass(:,j,iroot,icarbon) + ( use_reserve(:,j) - transloc_leaf(:,j) ) |
---|
579 | |
---|
580 | ! Adjust the carbohydrate reserve mass by accounting for the reserves allocated to leaves and roots during |
---|
581 | ! this time step |
---|
582 | biomass(:,j,icarbres,icarbon) = biomass(:,j,icarbres,icarbon) - use_reserve(:,j) |
---|
583 | |
---|
584 | ELSEWHERE |
---|
585 | |
---|
586 | transloc_leaf(:,j) = zero |
---|
587 | |
---|
588 | ENDWHERE |
---|
589 | |
---|
590 | !---TEMP--- |
---|
591 | WRITE(numout,*) 'use_reserve, ', use_reserve(:,j) |
---|
592 | WRITE(numout,*) 'biomass(icarbres), ', biomass(:,j,icarbres,icarbon)+use_reserve(:,j) |
---|
593 | WRITE(numout,*) 'other part, ', deux * dt / tau_leafinit * lai_happy_old(j) / sla(j) |
---|
594 | !---------- |
---|
595 | |
---|
596 | |
---|
597 | !! 3. Update leaf age |
---|
598 | |
---|
599 | ! Leaf age is needed for calculation of turnover and vmax in stomate_turnover.f90 and stomate_vmax.f90 routines. |
---|
600 | ! Leaf biomass is distributed according to its age into several "age classes" with age class=1 representing the |
---|
601 | ! youngest class, and consisting of the most newly allocated leaf biomass |
---|
602 | |
---|
603 | !! 3.1 Update quantity and age of the leaf biomass in the youngest class |
---|
604 | ! The new amount of leaf biomass in the youngest age class (leaf_mass_young) is the sum of : |
---|
605 | ! - the leaf biomass that was already in the youngest age class (leaf_frac(:,j,1) * lm_old(:,j)) with the |
---|
606 | ! leaf age given in leaf_age(:,j,1) |
---|
607 | ! - and the new biomass allocated to leaves (bm_alloc(:,j,ileaf,icarbon)) with a leaf age of zero. |
---|
608 | leaf_mass_young(:,j) = leaf_frac(:,j,1) * lm_old(:,j) + transloc_leaf(:,j) |
---|
609 | |
---|
610 | ! The age of the updated youngest age class is the average of the ages of its 2 components: bm_alloc(leaf) of age |
---|
611 | ! '0', and leaf_frac*lm_old(=leaf_mass_young-bm_alloc) of age 'leaf_age(:,:,1)' |
---|
612 | WHERE ( ( transloc_leaf(:,j) .GT. min_stomate ) .AND. ( leaf_mass_young(:,j) .GT. min_stomate ) ) |
---|
613 | |
---|
614 | leaf_age(:,j,1) = MAX ( zero, leaf_age(:,j,1) * ( leaf_mass_young(:,j) - transloc_leaf(:,j) ) / & |
---|
615 | & leaf_mass_young(:,j) ) |
---|
616 | |
---|
617 | ENDWHERE |
---|
618 | |
---|
619 | |
---|
620 | !! 3.2 Update leaf fractions |
---|
621 | ! Update fractions of leaf biomass in each age class (fraction in youngest class increases) |
---|
622 | |
---|
623 | !! 3.2.1 Update age of youngest leaves |
---|
624 | ! For age class 1 (youngest class), because we have added biomass to the youngest class, we need to update |
---|
625 | ! the fraction of total leaf biomass that belongs to the youngest age class : updated mass in class divided |
---|
626 | ! by new total leaf mass |
---|
627 | WHERE ( biomass(:,j,ileaf,icarbon) .GT. min_stomate ) |
---|
628 | |
---|
629 | leaf_frac(:,j,1) = leaf_mass_young(:,j) / biomass(:,j,ileaf,icarbon) |
---|
630 | |
---|
631 | ENDWHERE |
---|
632 | |
---|
633 | |
---|
634 | !! 3.2.2 Update age of other age classes |
---|
635 | ! Because the total leaf biomass has changed, we need to update the fraction of leaves in each age class: |
---|
636 | ! mass in leaf age class (from previous fraction of leaves in this class and previous total leaf biomass) |
---|
637 | ! divided by new total mass |
---|
638 | DO m = 2, nleafages ! Loop over # leaf age classes |
---|
639 | |
---|
640 | WHERE ( biomass(:,j,ileaf,icarbon) .GT. min_stomate ) |
---|
641 | |
---|
642 | leaf_frac(:,j,m) = leaf_frac(:,j,m) * lm_old(:,j) / biomass(:,j,ileaf,icarbon) |
---|
643 | |
---|
644 | ENDWHERE |
---|
645 | |
---|
646 | ENDDO ! Loop over # leaf age classes |
---|
647 | |
---|
648 | ENDDO ! loop over # PFTs |
---|
649 | |
---|
650 | |
---|
651 | !! 4. Calculate allocatable fractions of biomass production (NPP) |
---|
652 | |
---|
653 | ! Calculate fractions of biomass production (NPP) to be allocated to the different |
---|
654 | ! biomass components.\n |
---|
655 | ! The fractions of NPP allocated (0-1, unitless) to the different compartments depend on the |
---|
656 | ! availability of light, water, and nitrogen. |
---|
657 | DO j = 2, nvm ! Loop over # PFTs |
---|
658 | |
---|
659 | ! Reset values |
---|
660 | RtoLSR(:) = zero |
---|
661 | LtoLSR(:) = zero |
---|
662 | StoLSR(:) = zero |
---|
663 | |
---|
664 | !! 4.1 Age dependency of aboveground allocation |
---|
665 | ! For trees, partitioning between above and belowground sapwood biomass is a function |
---|
666 | ! of age. An older tree gets more allocation to the aboveground sapwoood than a younger tree. |
---|
667 | ! For the other PFTs it is prescribed. |
---|
668 | ! ::alloc_min, ::alloc_max and ::demi_alloc are specified in stomate_constants.f90 |
---|
669 | IF ( is_tree(j) ) THEN |
---|
670 | |
---|
671 | alloc_sap_above (:) = alloc_min(j) + (alloc_max(j) - alloc_min(j)) * & |
---|
672 | & ( un - EXP( -age(:,j) / demi_alloc(j) ) ) |
---|
673 | |
---|
674 | ELSE |
---|
675 | |
---|
676 | alloc_sap_above(:) = alloc_sap_above_grass |
---|
677 | |
---|
678 | ENDIF ! tree |
---|
679 | |
---|
680 | !---TEMP--- |
---|
681 | WRITE(numout,*) 'age, ', age(:,j) |
---|
682 | !---------- |
---|
683 | |
---|
684 | !! 4.2 Calculate light stress, water stress and proxy for nitrogen stress. |
---|
685 | ! For the limiting factors a low value indicates a strong limitation |
---|
686 | WHERE ( biomass(:,j,ileaf,icarbon) .GT. min_stomate ) |
---|
687 | |
---|
688 | !! 4.2.1 Light stress |
---|
689 | ! Light stress is a function of the mean lai on the natural part of the grid box |
---|
690 | ! and of the PFT-specific LAI for agricultural crops. In line with the DGVM, natural |
---|
691 | ! PFTs in the same gridbox are treated as if they were spatially mixed whereas |
---|
692 | ! agricultural PFTs are considered to be spatially separated. |
---|
693 | ! The calculation of the lights stress depends on the extinction coefficient (set to 0.5) |
---|
694 | ! and of a mean LAI. |
---|
695 | WHERE( lai_around(:,j) < max_possible_lai ) |
---|
696 | |
---|
697 | limit_L(:) = MAX( 0.1_r_std, EXP( -ext_coeff(j) * lai_around(:,j) ) ) |
---|
698 | |
---|
699 | ELSEWHERE |
---|
700 | |
---|
701 | limit_L(:) = 0.1_r_std |
---|
702 | |
---|
703 | ENDWHERE |
---|
704 | |
---|
705 | |
---|
706 | !! 4.2.2 Water stress |
---|
707 | ! Water stress is calculated as the weekly moisture availability. |
---|
708 | ! Weekly moisture availability is calculated in stomate_season.f90. |
---|
709 | limit_W(:) = MAX( 0.1_r_std, MIN( un, moiavail_week(:,j) ) ) |
---|
710 | |
---|
711 | |
---|
712 | !! 4.2.3 Proxy for nitrogen stress |
---|
713 | ! The proxy for nitrogen stress depends on monthly soil water availability |
---|
714 | ! (::soilhum_month) and monthly soil temperature (::tsoil_month). See section |
---|
715 | ! 1.2.2 for details on how ::t_nitrogen and ::h_nitrogen were calculated.\n |
---|
716 | ! Currently nitrogen-stress is calculated for both natural and agricultural PFTs. |
---|
717 | ! Due to intense fertilization of agricultural PFTs this is a strong |
---|
718 | ! assumption for several agricultural regions in the world (US, Europe, India, ...) |
---|
719 | ! Water stress on nitrogen mineralisation |
---|
720 | limit_N_hum(:) = MAX( undemi, MIN( un, h_nitrogen(:) ) ) |
---|
721 | |
---|
722 | ! Temperature stress on nitrogen mineralisation using a Q10 decomposition model |
---|
723 | ! where Q10 was set to 2 |
---|
724 | limit_N_temp(:) = deux**( ( t_nitrogen(:) - ZeroCelsius - Nlim_tref ) / Nlim_Q10 ) |
---|
725 | limit_N_temp(:) = MAX( 0.1_r_std, MIN( un, limit_N_temp(:) ) ) |
---|
726 | |
---|
727 | ! Combine water and temperature factors to get total nitrogen stress |
---|
728 | limit_N(:) = MAX( 0.1_r_std, MIN( un, limit_N_hum(:) * limit_N_temp(:) ) ) |
---|
729 | |
---|
730 | ! Take the most limiting factor among soil water and nitrogen |
---|
731 | limit_WorN(:) = MIN( limit_W(:), limit_N(:) ) |
---|
732 | |
---|
733 | ! Take the most limiting factor among aboveground (i.e. light) and belowground |
---|
734 | ! (i.e. water & nitrogen) limitations |
---|
735 | limit(:) = MIN( limit_WorN(:), limit_L(:) ) |
---|
736 | |
---|
737 | |
---|
738 | !! 4.3 Calculate ratio between allocation to leaves, sapwood and roots |
---|
739 | ! Partitioning between belowground and aboveground biomass components is assumed |
---|
740 | ! to be proportional to the ratio of belowground and aboveground stresses.\n |
---|
741 | ! \latexonly |
---|
742 | ! \input{alloc1.tex} |
---|
743 | ! \endlatexonly |
---|
744 | ! Root allocation is the default root allocation corrected by a normalized ratio of aboveground |
---|
745 | ! stress to total stress. The minimum root allocation is 0.15. |
---|
746 | RtoLSR(:) = MAX( .15_r_std, R0 * trois * limit_L(:) / ( limit_L(:) + deux * limit_WorN(:) ) ) |
---|
747 | |
---|
748 | ! Sapwood allocation is the default sapwood allocation corrected by a normalized ratio of |
---|
749 | ! belowground stress to total stress. |
---|
750 | StoLSR(:) = S0(j) * trois * limit_WorN(:) / ( deux * limit_L(:) + limit_WorN(:) ) |
---|
751 | |
---|
752 | ! Leaf allocation is calculated as the remaining allocation fraction |
---|
753 | ! The range of variation of leaf allocation is constrained by ::min_LtoLSR and ::max_LtoLSR. |
---|
754 | LtoLSR(:) = un - RtoLSR(:) - StoLSR(:) |
---|
755 | LtoLSR(:) = MAX( min_LtoLSR, MIN( max_LtoLSR, LtoLSR(:) ) ) |
---|
756 | |
---|
757 | ! Roots allocation is recalculated as the residual carbon after leaf allocation has been calculated. |
---|
758 | RtoLSR(:) = un - LtoLSR(:) - StoLSR(:) |
---|
759 | |
---|
760 | ENDWHERE |
---|
761 | |
---|
762 | ! Check whether allocation needs to be adjusted. If LAI exceeds maximum LAI |
---|
763 | ! (::lai_max), no addition carbon should be allocated to leaf biomass. Allocation is |
---|
764 | ! then partioned between root and sapwood biomass. |
---|
765 | WHERE ( (biomass(:,j,ileaf,icarbon) .GT. min_stomate) .AND. (lai(:,j) .GT. lai_max(j)) ) |
---|
766 | |
---|
767 | StoLSR(:) = StoLSR(:) + LtoLSR(:) |
---|
768 | LtoLSR(:) = zero |
---|
769 | |
---|
770 | ENDWHERE |
---|
771 | |
---|
772 | |
---|
773 | !! 4.4 Calculate the allocation fractions. |
---|
774 | ! The allocation fractions (::f_alloc) are an output variable (0-1, unitless). f_alloc |
---|
775 | ! has three dimensions (npts,nvm,nparts). Where ::npts is the number of grid cells, ::nvm is the |
---|
776 | ! number of PFTs and ::nparts the number of biomass components. Currently six biomass compartments |
---|
777 | ! are distinguished: (1) Carbon reserves, (2) Aboveground sapwood, (3) Belowground |
---|
778 | ! sapwood, (4) Roots, (5) fruits/seeds and (6) Leaves.@tex $(gC m^{-2})$ @endtex \n |
---|
779 | DO i = 1, npts ! Loop over grid cells |
---|
780 | |
---|
781 | IF ( biomass(i,j,ileaf,icarbon) .GT. min_stomate ) THEN |
---|
782 | |
---|
783 | IF ( senescence(i,j) ) THEN |
---|
784 | |
---|
785 | !! 4.4.1 Allocate all C to carbohydrate reserve |
---|
786 | ! If the PFT is senescent allocate all C to carbohydrate reserve, |
---|
787 | ! then the allocation fraction to reserves is 1. |
---|
788 | f_alloc(i,j,icarbres) = un |
---|
789 | |
---|
790 | ELSE |
---|
791 | |
---|
792 | !! 4.4.2 Allocation during the growing season |
---|
793 | f_alloc(i,j,ifruit) = f_fruit |
---|
794 | |
---|
795 | ! Allocation to the carbohydrate reserve is proportional to leaf and root |
---|
796 | ! allocation. If carbon is allocated to the carbohydrate reserve, rescaling |
---|
797 | ! of allocation factors is required to ensure carbon mass preservation. |
---|
798 | ! Carbon is allocated to the carbohydrate reserve when the pool size of the |
---|
799 | ! reserve is less than the carbon needed to grow a canopy twice the size of |
---|
800 | ! the maximum LAI (::lai_max). Twice the size was used as a threshold because |
---|
801 | ! the reserves needs to be sufficiently to grow a canopy and roots. In case |
---|
802 | ! the carbohydrate pool is full, there is no need to rescale the other |
---|
803 | ! allocation factors. |
---|
804 | ! If there is no rescaling of the allocation factors (carbres=1, no carbon put |
---|
805 | ! to reserve), then fraction remaining after fruit allocation (1-fruit_alloc) |
---|
806 | ! is distributed between leaf, root and sap (sap carbon also distributed between |
---|
807 | ! sap_above and sap_below with factor alloc_sap_above). |
---|
808 | ! If carbon is allocated to the carbohydrate reserve, all these factors are |
---|
809 | ! rescaled through carb_rescale, and an allocation fraction for carbohydrate pool |
---|
810 | ! appears. carb_rescale depends on the parameter (::ecureuil). |
---|
811 | ! (::ecureuil) is the fraction of primary leaf and root allocation put into |
---|
812 | ! reserve, it is specified in stomate_constants.f90 and is either 0 or 1. |
---|
813 | IF ( ( biomass(i,j,icarbres,icarbon) * sla(j) ) .LT. deux * lai_max(j) ) THEN |
---|
814 | |
---|
815 | carb_rescale(i) = un / ( un + ecureuil(j) * ( LtoLSR(i) + RtoLSR(i) ) ) |
---|
816 | |
---|
817 | ELSE |
---|
818 | carb_rescale(i) = un |
---|
819 | |
---|
820 | ENDIF |
---|
821 | |
---|
822 | f_alloc(i,j,ileaf) = LtoLSR(i) * ( un - f_alloc(i,j,ifruit) ) * carb_rescale(i) |
---|
823 | f_alloc(i,j,isapabove) = StoLSR(i) * alloc_sap_above(i) * & |
---|
824 | ( un - f_alloc(i,j,ifruit) ) * carb_rescale(i) |
---|
825 | f_alloc(i,j,isapbelow) = StoLSR(i) * ( un - alloc_sap_above(i) ) * & |
---|
826 | ( un - f_alloc(i,j,ifruit) ) * carb_rescale(i) |
---|
827 | f_alloc(i,j,iroot) = RtoLSR(i) * ( un - f_alloc(i,j,ifruit) ) * carb_rescale(i) |
---|
828 | f_alloc(i,j,icarbres) = ( un - carb_rescale(i) ) * ( un - f_alloc(i,j,ifruit) ) |
---|
829 | |
---|
830 | ENDIF ! Is senescent? |
---|
831 | |
---|
832 | ENDIF ! There are leaves |
---|
833 | |
---|
834 | ENDDO ! Loop over # pixels - domain size |
---|
835 | |
---|
836 | ENDDO ! loop over # PFTs |
---|
837 | |
---|
838 | |
---|
839 | !! 5. Calculate maintenance and growth respiration |
---|
840 | |
---|
841 | ! First, total maintenance respiration for the whole plant is calculated by summing maintenance |
---|
842 | ! respiration of the different plant compartments. Then, maintenance respiration is subtracted |
---|
843 | ! from whole-plant allocatable biomass (up to a maximum fraction of the total allocatable biomass). |
---|
844 | ! Growth respiration is then calculated for each plant compartment as a fraction of remaining |
---|
845 | ! allocatable biomass for this compartment. NPP is calculated by substracting total autotrophic |
---|
846 | ! respiration from GPP i.e. NPP = GPP - maintenance resp - growth resp. |
---|
847 | DO j = 2,nvm ! Loop over # of PFTs |
---|
848 | |
---|
849 | !! 5.1 Maintenance respiration of the different plant parts |
---|
850 | ! Maintenance respiration of the different plant parts is calculated in |
---|
851 | ! stomate_resp.f90 as a function of the plant's temperature, |
---|
852 | ! the long term temperature and plant coefficients |
---|
853 | resp_maint(:,j) = zero |
---|
854 | |
---|
855 | ! Following the calculation of hourly maintenance respiration, verify that |
---|
856 | ! the PFT has not been killed after calcul of resp_maint_part in stomate. |
---|
857 | DO k = 1, nparts |
---|
858 | |
---|
859 | WHERE (PFTpresent(:,j)) |
---|
860 | |
---|
861 | resp_maint(:,j) = resp_maint(:,j) + resp_maint_part(:,j,k) |
---|
862 | |
---|
863 | ENDWHERE |
---|
864 | |
---|
865 | ENDDO |
---|
866 | |
---|
867 | !! 5.2 Substract maintenance respiration from allocatable biomass |
---|
868 | ! The total maintenance respiration calculated in 2.2 is substracted from the newly |
---|
869 | ! produced allocatable biomass (bm_alloc_tot). However, ensure that not all allocatable |
---|
870 | ! biomass is removed by setting a maximum to the fraction of allocatable biomass used |
---|
871 | ! for maintenance respiration: tax_max. If the maintenance respiration is larger than |
---|
872 | ! tax_max,the amount tax_max is taken from allocatable biomass, and the remaining of |
---|
873 | ! maintenance respiration is taken from the tissues themselves (biomass). We suppose |
---|
874 | ! that respiration is not dependent on leaf age -> therefore the leaf age structure is |
---|
875 | ! not changed. |
---|
876 | ! The maximum fraction of allocatable biomass used for respiration is defined as tax_max. |
---|
877 | ! The value of tax_max is set in the declarations section (0.4 Local variables) of this |
---|
878 | ! routine |
---|
879 | |
---|
880 | !! 5.2.1 Resource based allocatable biomass |
---|
881 | ! maximum part of allocatable biomass used for respiration |
---|
882 | bm_tax_max(:) = tax_max * bm_alloc_tot(:,j) |
---|
883 | |
---|
884 | ! If there is enough allocatable biomass to cover maintenance respiration, |
---|
885 | ! then biomass associated with maintenance respiration is removed from allocatable biomass |
---|
886 | WHERE ( ( bm_alloc_tot(:,j) .GT. zero ) .AND. & |
---|
887 | ( ( resp_maint(:,j) * dt ) .LT. bm_tax_max(:) ) ) |
---|
888 | |
---|
889 | bm_alloc_tot(:,j) = bm_alloc_tot(:,j) - resp_maint(:,j) * dt |
---|
890 | |
---|
891 | ELSEWHERE ( resp_maint(:,j) .GT. min_stomate ) |
---|
892 | |
---|
893 | ! If there is not enough allocatable biomass to cover maintenance respiration, the |
---|
894 | ! - maximum allowed allocatable biomass (bm_tax_max) is removed from allocatable biomass. |
---|
895 | bm_alloc_tot(:,j) = bm_alloc_tot(:,j) - bm_tax_max(:) |
---|
896 | |
---|
897 | ! ::bm_pump is the amount of maintenance respiration that exceeds the maximum allocatable biomass |
---|
898 | ! This amount of biomass still needs to be respired and will be removed from tissues biomass of each |
---|
899 | ! plant compartment |
---|
900 | bm_pump(:) = resp_maint(:,j) * dt - bm_tax_max(:) |
---|
901 | |
---|
902 | ! The biomass is removed from each plant compartment tissues as the ratio of the maintenance |
---|
903 | ! respiration of the plant compartment to the total maintenance respiration (resp_maint_part/resp_maint) |
---|
904 | biomass(:,j,ileaf,icarbon) = biomass(:,j,ileaf,icarbon) - & |
---|
905 | bm_pump(:) * resp_maint_part(:,j,ileaf) / resp_maint(:,j) |
---|
906 | biomass(:,j,isapabove,icarbon) = biomass(:,j,isapabove,icarbon) - & |
---|
907 | bm_pump(:) * resp_maint_part(:,j,isapabove) / resp_maint(:,j) |
---|
908 | biomass(:,j,isapbelow,icarbon) = biomass(:,j,isapbelow,icarbon) - & |
---|
909 | bm_pump(:) * resp_maint_part(:,j,isapbelow) / resp_maint(:,j) |
---|
910 | biomass(:,j,iroot,icarbon) = biomass(:,j,iroot,icarbon) - & |
---|
911 | bm_pump(:) * resp_maint_part(:,j,iroot) / resp_maint(:,j) |
---|
912 | biomass(:,j,ifruit,icarbon) = biomass(:,j,ifruit,icarbon) - & |
---|
913 | bm_pump(:) * resp_maint_part(:,j,ifruit) / resp_maint(:,j) |
---|
914 | biomass(:,j,icarbres,icarbon) = biomass(:,j,icarbres,icarbon) - & |
---|
915 | bm_pump(:) * resp_maint_part(:,j,icarbres) / resp_maint(:,j) |
---|
916 | ! Resource based allocation does not uses a labile carbon pool |
---|
917 | biomass(:,j,ilabile,icarbon) = zero |
---|
918 | |
---|
919 | ENDWHERE ! there is enough allocatable biomass to cover maintenance respiration |
---|
920 | |
---|
921 | |
---|
922 | !! 5.3 Allocate allocatable biomass to different plant compartments. |
---|
923 | ! The amount of allocatable biomass to each compartment is a fraction ::f_alloc of the total |
---|
924 | ! allocatable biomass. For the resource-based allocation ::f_alloc of the different plant parts |
---|
925 | ! is calculated in stomate_alloc.f90 |
---|
926 | DO k = 1, nparts |
---|
927 | |
---|
928 | bm_alloc(:,j,k,icarbon) = f_alloc(:,j,k) * bm_alloc_tot(:,j) |
---|
929 | |
---|
930 | ENDDO |
---|
931 | |
---|
932 | |
---|
933 | !! 5.4 Calculate growth respiration of each plant compartment |
---|
934 | ! Growth respiration of a plant compartment is a fraction of the allocatable biomass remaining after |
---|
935 | ! maintenance respiration losses have been taken into account. The fraction of allocatable biomass |
---|
936 | ! removed for growth respiration is the same for all plant compartments and is defined by the parameter |
---|
937 | ! frac_growth_resp in stomate_constants.f90. Allocatable biomass ::bm_alloc is updated as a result of |
---|
938 | ! the removal of growth resp (gC m-2 dt-1). |
---|
939 | DO k = 1,nparts |
---|
940 | |
---|
941 | resp_growth_part(:,k) = frac_growthresp(j) * bm_alloc(:,j,k,icarbon) / dt |
---|
942 | bm_alloc(:,j,k,icarbon) = ( 1. - frac_growthresp(j) ) * bm_alloc(:,j,k,icarbon) |
---|
943 | |
---|
944 | ENDDO |
---|
945 | |
---|
946 | |
---|
947 | !! 5.5 Total growth respiration |
---|
948 | ! Calculate total growth respiration of the plant as the sum of growth respiration of all plant parts |
---|
949 | resp_growth(:,j) = zero |
---|
950 | DO k = 1, nparts |
---|
951 | |
---|
952 | ! Total growth respiration. Calculate total growth respiration of the plant as the |
---|
953 | ! sum of growth respiration of all plant parts |
---|
954 | resp_growth(:,j) = resp_growth(:,j) + resp_growth_part(:,k) |
---|
955 | |
---|
956 | ENDDO ! # biomass compartments |
---|
957 | |
---|
958 | ENDDO ! # of PFTs |
---|
959 | |
---|
960 | |
---|
961 | !! 6. Update the biomass with newly allocated biomass after respiration |
---|
962 | |
---|
963 | ! Save the old leaf biomass for later. "old" leaf mass is leaf mass after maintenance respiration in the case |
---|
964 | ! where maintenance respiration has required taking biomass from tissues in section 3.2 |
---|
965 | lm_old(:,:) = biomass(:,:,ileaf,icarbon) |
---|
966 | biomass(:,:,:,icarbon) = biomass(:,:,:,icarbon) + bm_alloc(:,:,:,icarbon) |
---|
967 | |
---|
968 | |
---|
969 | !! 7. Deal with negative biomasses |
---|
970 | |
---|
971 | ! Biomass can become negative in some rare cases, as the GPP can be negative (dark respiration). In this case, |
---|
972 | ! we set biomass to some small value min_stomate. This creation of matter (carbon) is taken into account by |
---|
973 | ! decreasing the autotrophic respiration by the same amount that has been added to biomass for it to become |
---|
974 | ! positive. In this case, maintenance respiration can become negative !!! |
---|
975 | |
---|
976 | DO k = 1, nparts ! Loop over # of plant parts |
---|
977 | |
---|
978 | WHERE ( biomass(:,:,k,icarbon) .LT. zero ) |
---|
979 | |
---|
980 | bm_create(:,:) = min_stomate - biomass(:,:,k,icarbon) |
---|
981 | biomass(:,:,k,icarbon) = biomass(:,:,k,icarbon) + bm_create(:,:) |
---|
982 | resp_maint(:,:) = resp_maint(:,:) - bm_create(:,:) / dt |
---|
983 | |
---|
984 | ENDWHERE |
---|
985 | |
---|
986 | ENDDO ! Loop over # plant parts |
---|
987 | |
---|
988 | |
---|
989 | !! 8. Calculate NPP (See Eq 1 in header) |
---|
990 | |
---|
991 | ! Calculate the NPP @tex $(gC.m^{-2}dt^{-1})$ @endtex as the difference between GPP |
---|
992 | ! and autotrophic respiration (maintenance and growth respirations) |
---|
993 | ! This is a diagnostic calculation |
---|
994 | npp(:,:) = gpp(:,:) - resp_growth(:,:) - resp_maint(:,:) |
---|
995 | |
---|
996 | |
---|
997 | !! 9. Update leaf age |
---|
998 | |
---|
999 | ! Leaf age is needed for calculation of turnover and vmax in stomate_turnover.f90 and stomate_vmax.f90 routines. |
---|
1000 | ! Leaf biomass is distributed according to its age into several "age classes" with age class=1 representing the |
---|
1001 | ! youngest class, and consisting of the most newly allocated leaf biomass |
---|
1002 | |
---|
1003 | !! 9.1 Update quantity and age of the leaf biomass in the youngest class |
---|
1004 | ! The new amount of leaf biomass in the youngest age class (leaf_mass_young) is the sum of : |
---|
1005 | ! - the leaf biomass that was already in the youngest age class (leaf_frac(:,j,1) * lm_old(:,j)) with the |
---|
1006 | ! leaf age given in leaf_age(:,j,1) |
---|
1007 | ! - and the new biomass allocated to leaves (bm_alloc(:,j,ileaf)) with a leaf age of zero. |
---|
1008 | DO j = 2,nvm |
---|
1009 | |
---|
1010 | leaf_mass_young(:,j) = leaf_frac(:,j,1) * lm_old(:,j) + bm_alloc(:,j,ileaf,icarbon) |
---|
1011 | |
---|
1012 | ENDDO |
---|
1013 | |
---|
1014 | ! The age of the updated youngest age class is the average of the ages of its 2 components: bm_alloc(leaf) of age |
---|
1015 | ! '0', and leaf_frac*lm_old(=leaf_mass_young-bm_alloc) of age 'leaf_age(:,j,1)' |
---|
1016 | DO j = 2,nvm |
---|
1017 | |
---|
1018 | WHERE ( ( bm_alloc(:,j,ileaf,icarbon) .GT. zero ) .AND. ( leaf_mass_young(:,j) .GT. zero ) ) |
---|
1019 | |
---|
1020 | leaf_age(:,j,1) = MAX( zero, leaf_age(:,j,1) * ( leaf_mass_young(:,j) - bm_alloc(:,j,ileaf,icarbon) ) / & |
---|
1021 | & leaf_mass_young(:,j) ) |
---|
1022 | |
---|
1023 | ENDWHERE |
---|
1024 | |
---|
1025 | ENDDO |
---|
1026 | |
---|
1027 | ! For age class 1 (youngest class), because we have added biomass to the youngest class, we need to update |
---|
1028 | ! the fraction of total leaf biomass that belongs to the youngest age class : updated mass in class divided |
---|
1029 | ! by new total leaf mass |
---|
1030 | DO j = 2,nvm |
---|
1031 | |
---|
1032 | WHERE ( biomass(:,j,ileaf,icarbon) .GT. min_stomate ) |
---|
1033 | |
---|
1034 | leaf_frac(:,j,1) = leaf_mass_young(:,j) / biomass(:,j,ileaf,icarbon) |
---|
1035 | |
---|
1036 | ENDWHERE |
---|
1037 | |
---|
1038 | ENDDO |
---|
1039 | |
---|
1040 | !! 9.2 Update age of other age classes |
---|
1041 | ! Because the total leaf biomass has changed, we need to update the fraction of leaves in each age class: |
---|
1042 | ! mass in leaf age class (from previous fraction of leaves in this class and previous total leaf biomass) |
---|
1043 | ! divided by new total mass |
---|
1044 | DO m = 2, nleafages |
---|
1045 | |
---|
1046 | DO j = 2,nvm |
---|
1047 | |
---|
1048 | WHERE ( biomass(:,j,ileaf,icarbon) .GT. min_stomate ) |
---|
1049 | |
---|
1050 | leaf_frac(:,j,m) = leaf_frac(:,j,m) * lm_old(:,j) / biomass(:,j,ileaf,icarbon) |
---|
1051 | |
---|
1052 | ENDWHERE |
---|
1053 | |
---|
1054 | ENDDO |
---|
1055 | |
---|
1056 | ENDDO |
---|
1057 | |
---|
1058 | |
---|
1059 | !! 10. Update whole-plant age |
---|
1060 | |
---|
1061 | !! 10.1 PFT age |
---|
1062 | ! At every time step, increase age of the biomass that was already present at previous time step. |
---|
1063 | ! Age is expressed in years, and the time step 'dt' in days so age increase is: dt divided by number |
---|
1064 | ! of days in a year. |
---|
1065 | WHERE ( PFTpresent(:,:) ) |
---|
1066 | |
---|
1067 | age(:,:) = age(:,:) + dt/one_year |
---|
1068 | |
---|
1069 | ELSEWHERE |
---|
1070 | |
---|
1071 | age(:,:) = zero |
---|
1072 | |
---|
1073 | ENDWHERE |
---|
1074 | |
---|
1075 | |
---|
1076 | !! 10.2 Age of grasses and crops |
---|
1077 | ! For grasses and crops, biomass with age 0 has been added to the whole plant with age 'age'. New biomass is the sum of |
---|
1078 | ! the current total biomass in all plant parts (bm_new), bm_new(:) = SUM( biomass(:,j,:,icarbon), DIM=2 ). The biomass |
---|
1079 | ! that has just been added is the sum of the allocatable biomass of all plant parts (bm_add), its age is zero. bm_add(:) = |
---|
1080 | ! SUM( bm_alloc(:,j,:,icarbon), DIM=2 ). Before allocation, the plant biomass is bm_new-bm_add, its age is "age(:,j)". |
---|
1081 | ! The age of the new biomass is the average of the ages of previous and added biomass. |
---|
1082 | ! For trees, age is treated in "establish" if vegetation is dynamic, and in turnover routines if it is static (in this |
---|
1083 | ! case, only the age of the heartwood is accounted for). |
---|
1084 | DO j = 2,nvm |
---|
1085 | |
---|
1086 | IF ( .NOT. is_tree(j) ) THEN |
---|
1087 | |
---|
1088 | bm_new(:) = biomass(:,j,ileaf,icarbon) + biomass(:,j,isapabove,icarbon) + & |
---|
1089 | biomass(:,j,iroot,icarbon) + biomass(:,j,ifruit,icarbon) |
---|
1090 | bm_add(:) = bm_alloc(:,j,ileaf,icarbon) + bm_alloc(:,j,isapabove,icarbon) + & |
---|
1091 | bm_alloc(:,j,iroot,icarbon) + bm_alloc(:,j,ifruit,icarbon) |
---|
1092 | |
---|
1093 | WHERE ( ( bm_new(:) .GT. zero ) .AND. ( bm_add(:) .GT. min_stomate ) ) |
---|
1094 | |
---|
1095 | age(:,j) = age(:,j) * ( bm_new(:) - bm_add(:) ) / bm_new(:) |
---|
1096 | |
---|
1097 | ENDWHERE |
---|
1098 | |
---|
1099 | ENDIF ! is .NOT. tree |
---|
1100 | |
---|
1101 | ENDDO ! Loop over #PFTs |
---|
1102 | |
---|
1103 | |
---|
1104 | !! 11. Write history files |
---|
1105 | |
---|
1106 | ! Save in history file the variables describing the biomass allocated to the plant parts |
---|
1107 | CALL histwrite (hist_id_stomate, 'BM_ALLOC_LEAF', itime, & |
---|
1108 | bm_alloc(:,:,ileaf,icarbon), npts*nvm, horipft_index) |
---|
1109 | CALL histwrite (hist_id_stomate, 'BM_ALLOC_SAP_AB', itime, & |
---|
1110 | bm_alloc(:,:,isapabove,icarbon), npts*nvm, horipft_index) |
---|
1111 | CALL histwrite (hist_id_stomate, 'BM_ALLOC_SAP_BE', itime, & |
---|
1112 | bm_alloc(:,:,isapbelow,icarbon), npts*nvm, horipft_index) |
---|
1113 | CALL histwrite (hist_id_stomate, 'BM_ALLOC_ROOT', itime, & |
---|
1114 | bm_alloc(:,:,iroot,icarbon), npts*nvm, horipft_index) |
---|
1115 | CALL histwrite (hist_id_stomate, 'BM_ALLOC_FRUIT', itime, & |
---|
1116 | bm_alloc(:,:,ifruit,icarbon), npts*nvm, horipft_index) |
---|
1117 | CALL histwrite (hist_id_stomate, 'BM_ALLOC_RES', itime, & |
---|
1118 | bm_alloc(:,:,icarbres,icarbon), npts*nvm, horipft_index) |
---|
1119 | |
---|
1120 | IF (bavard.GE.4) WRITE(numout,*) 'Leaving resource limited growth' |
---|
1121 | |
---|
1122 | |
---|
1123 | END SUBROUTINE growth_res_lim |
---|
1124 | |
---|
1125 | END MODULE stomate_growth_res_lim |
---|