diff --git a/.codeCheck b/.codeCheck new file mode 100644 index 0000000000..0c2f270989 --- /dev/null +++ b/.codeCheck @@ -0,0 +1,6 @@ +capitalExclusionList: + - land + - iso + - type + - age + - k diff --git a/CHANGELOG.md b/CHANGELOG.md index 34e386bd3c..1035f55e3a 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -4,7 +4,6 @@ All notable changes to this project will be documented in this file. The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/). - ## [Unreleased] ### changed @@ -26,12 +25,14 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/). - **scripts** added automatic set writer for new bioenergy realization to `start_functions` - **scripts** added start scripts for the GENIE project - **scenario_config.csv** added preset for GENIE project +- **config** added `.codeCheck` with additonal configuration when running `gms::codeCheck` +- **30_crop** Improved representation of cropland requiring relocation in response to introducing semi-natural habitat at the 1 km level based on high-resolution satellite imagery. ### removed -- +- **core** removed no longer needed set `si` Suitability classes ### fixed -- +- **52_carbon** i52_land_carbon_sink was not identical before 2020 for different RCPs. Fixed by setting to RCPBU until the year defined in sm_fix_cc. ## [4.7.1] - 2024-02-28 diff --git a/config/default.cfg b/config/default.cfg index ac6c5fd372..eb452d8ed2 100644 --- a/config/default.cfg +++ b/config/default.cfg @@ -565,7 +565,7 @@ cfg$gms$c20_scp_type <- "sugar" # def = sugar # * to exports cfg$gms$trade <- "selfsuff_reduced" # def = selfsuff_reduced -# * option for `exo` realization only: +# * option for `exo` realization only: # * fix `v21_manna_from_heaven` to zero (0) or not (1) # Note: Without fixing to zero, v21_manna_from_heaven might be used unnecessarily in runs started with highres.R cfg$gms$s21_manna_from_heaven <- 0 @@ -695,15 +695,17 @@ cfg$gms$s30_rotation_scenario_target <- 2050 # def = 2050 cfg$gms$c30_marginal_land <- "q33_marginal" # def = "q33_marginal" # * Share of available cropland that is withheld for maintaining semi-natural vegetation (SNV) -# * in cropland areas, including grassland, forest and other land. For example, +# * in each square km in cropland areas, including grassland, forest and other land. For example, # * a share of 0.2 corresponds to 20 % of SNV in terms of the available cropland. -# * Accepted values are between 0 and 1 +# * The amount of cropland relocation is estimated based on external high resolution +# * land cover information from the Copernicus Global Land Service for the year 2019. +# * Accepted sensible values are between 0 and 0.5 # Note: s30_snv_shr applies to countries selected in policy_countries30 # s30_snv_shr_noselect applies to all other countries. cfg$gms$s30_snv_shr <- 0 # def = 0 cfg$gms$s30_snv_shr_noselect <- 0 # def = 0 # * Year by which SNV policy ('s30_snv_shr') is fully implemented. -# * Start year: +# * Start year (should be close to 2019): cfg$gms$s30_snv_scenario_start <- 2020 # def = 2020 # * Target year (year when full implementation is reached): cfg$gms$s30_snv_scenario_target <- 2030 # def = 2030 diff --git a/core/macros.gms b/core/macros.gms index 37e70b23f7..0cb9567bd1 100644 --- a/core/macros.gms +++ b/core/macros.gms @@ -73,21 +73,27 @@ $macro m_fillmissingyears(input,sets) loop(t_all, \ ct_all(t_all) = no; \ ); -* macro for linear interpolation -$macro m_linear_interpol(input,start_year,target_year,start_value,target_value) \ +*** Time interpolation +* macro for linear time interpolation +$macro m_linear_time_interpol(input,start_year,target_year,start_value,target_value) \ input(t_all)$(m_year(t_all) > start_year AND m_year(t_all) < target_year) = ((m_year(t_all)-start_year) / (target_year-start_year)); \ input(t_all) = start_value + input(t_all) * (target_value-start_value); \ input(t_all)$(m_year(t_all) <= start_year) = start_value; \ input(t_all)$(m_year(t_all) >= target_year) = target_value; -* macro for sigmoid interpolation (S-shaped curve) -$macro m_sigmoid_interpol(input,start_year,target_year,start_value,target_value) \ +* macro for sigmoid time interpolation (S-shaped curve) +$macro m_sigmoid_time_interpol(input,start_year,target_year,start_value,target_value) \ input(t_all)$(m_year(t_all) >= start_year AND m_year(t_all) <= target_year) = ((m_year(t_all)-start_year) / (target_year-start_year)); \ input(t_all) = 1 / (1 + exp(-10*(input(t_all)-0.5))); \ input(t_all) = start_value + input(t_all) * (target_value-start_value); \ input(t_all)$(m_year(t_all) <= start_year) = start_value; \ input(t_all)$(m_year(t_all) >= target_year) = target_value; +*** Data interpolation +* macro for linear cell data interpolation +$macro m_linear_cell_data_interpol(output,x,input_x1,input_x2,input_y1,input_y2) \ + output(j) = input_y1 + (input_y2 - input_y1)/(input_x2 - input_x1) * (x - input_x1); + * macro for simple carbon stocks $macro m_carbon_stock(land,carbon_density,item) \ (land(j2,item) * sum(ct,carbon_density(ct,j2,item,ag_pools)))$(sameas(stockType,"actual")) + \ diff --git a/core/sets.gms b/core/sets.gms index 76d2bcb744..9c04392388 100644 --- a/core/sets.gms +++ b/core/sets.gms @@ -257,9 +257,6 @@ sets forest_type forest type / plantations, natveg / - si Suitability classes - / si0, nsi0 / - ***Forestry** ac Age classes / ac0,ac5,ac10,ac15,ac20,ac25,ac30,ac35,ac40,ac45,ac50, ac55,ac60,ac65,ac70,ac75,ac80,ac85,ac90,ac95,ac100, diff --git a/literature.bib b/literature.bib index 6f31716a32..d4ee7ea751 100644 --- a/literature.bib +++ b/literature.bib @@ -1596,3 +1596,13 @@ @article{mishra_timbercities_2022 keywords = {Forestry, Climate-change mitigation}, pages = {4889}, } + +@dataset{buchhorn_copernicus_2020, + title = {Copernicus Global Land Service: {{Land}} Cover 100m: Collection 3: Epoch 2019: {{Globe}}}, + author = {Buchhorn, Marcel and Smets, Bruno and Bertels, Luc and Roo, Bert De and Lesiv, Myroslava and Tsendbazar, Nandin-Erdene and Herold, Martin and Fritz, Steffen}, + date = {2020-09}, + publisher = {{Zenodo}}, + doi = {10.5281/zenodo.3939050}, + url = {https://doi.org/10.5281/zenodo.3939050}, + version = {V3.0.1} +} diff --git a/main.gms b/main.gms index 20ea421f75..5bd9215929 100644 --- a/main.gms +++ b/main.gms @@ -147,44 +147,44 @@ $title magpie *' * Always try to access model outputs through the corresponding magpie package instead of accessing them directly with readGDX. It cannot be guaranteed that your script will work in the future if you do otherwise (as only the corresponding magpie package will be continuously adapted to changes in the GAMS code). *##################### R SECTION START (VERSION INFO) ########################## -* +* * Used data set: rev4.99_h12_magpie.tgz * md5sum: NA * Repository: scp://cluster.pik-potsdam.de/p/projects/rd3mod/inputdata/output -* +* * Used data set: rev4.99_h12_fd712c0b_cellularmagpie_c200_MRI-ESM2-0-ssp370_lpjml-8e6c5eb1.tgz * md5sum: NA * Repository: scp://cluster.pik-potsdam.de/p/projects/rd3mod/inputdata/output -* +* * Used data set: rev4.99_h12_validation.tgz * md5sum: NA * Repository: scp://cluster.pik-potsdam.de/p/projects/rd3mod/inputdata/output -* +* * Used data set: additional_data_rev4.47.tgz * md5sum: NA * Repository: scp://cluster.pik-potsdam.de/p/projects/landuse/data/input/archive -* +* * Used data set: calibration_H12_per_ton_fao_may22_glo_08Aug23.tgz * md5sum: NA * Repository: https://rse.pik-potsdam.de/data/magpie/public -* +* * Low resolution: c200 * High resolution: 0.5 -* +* * Total number of cells: 200 -* +* * Number of cells per region: * CAZ CHA EUR IND JPN LAM MEA NEU OAS REF SSA USA * 14 23 10 7 4 26 21 9 16 23 32 15 -* +* * Regionscode: 62eff8f7 -* +* * Regions data revision: 4.99 -* +* * lpj2magpie settings: * * LPJmL data: MRI-ESM2-0:ssp370 * * Revision: 4.99 -* +* * aggregation settings: * * Input resolution: 0.5 * * Output resolution: c200 @@ -193,10 +193,10 @@ $title magpie * CAZ CHA EUR IND JPN LAM MEA NEU OAS REF SSA USA * 14 23 10 7 4 26 21 9 16 23 32 15 * * Call: withCallingHandlers(expr, message = messageHandler, warning = warningHandler, error = errorHandler) -* -* +* +* * Last modification (input data): Wed Feb 7 15:35:14 2024 -* +* *###################### R SECTION END (VERSION INFO) ########################### $offupper diff --git a/modules/22_land_conservation/area_based_apr22/preloop.gms b/modules/22_land_conservation/area_based_apr22/preloop.gms index 965c36f7d2..3cfcbf4cbe 100644 --- a/modules/22_land_conservation/area_based_apr22/preloop.gms +++ b/modules/22_land_conservation/area_based_apr22/preloop.gms @@ -26,7 +26,7 @@ p22_country_weight(i) = sum(i_to_iso(i,iso), p22_country_dummy(iso) * i22_land_i ** Trajectory for implementation of land conservation * sigmoidal interpolation between 2020 and target year -m_sigmoid_interpol(p22_conservation_fader,s22_conservation_start,s22_conservation_target,0,1); +m_sigmoid_time_interpol(p22_conservation_fader,s22_conservation_start,s22_conservation_target,0,1); ** Initialise additional conservation area p22_add_consv(t,j,consv22_all,land) = 0; diff --git a/modules/30_crop/endo_apr21/declarations.gms b/modules/30_crop/endo_apr21/declarations.gms index a9436f2957..9ce1b28ab5 100644 --- a/modules/30_crop/endo_apr21/declarations.gms +++ b/modules/30_crop/endo_apr21/declarations.gms @@ -9,7 +9,10 @@ parameters p30_avl_cropland(t,j) Total available land for crop cultivation (mio. ha) p30_country_snv_weight(i) SNV policy country weight per region (1) p30_snv_shr(t,j) Share of semi-natural vegetation in cropland areas (1) - p30_country_dummy(iso) Dummy parameter indicating whether country is affected by selected SNV policy (1) + i30_snv_relocation_target(j) Overall cropland area that requires relocation due to SNV policy (mio. ha) + p30_snv_relocation(t,j) Cropland area that is actually relocated during time step (mio. ha) + p30_max_snv_relocation(t,j) Maximum cropland relocation during time step (mio. ha) + p30_country_dummy(iso) Dummy parameter indicating whether country is affected by selected cropland policy (1) i30_avl_cropland_iso(iso) Available land area for cropland at ISO level (mio. ha) p30_snv_scenario_fader(t_all) SNV scenario fader (1) p30_rotation_scenario_fader(t_all) Crop rotation scenario fader (1) @@ -34,6 +37,7 @@ equations q30_bv_per(j,potnatveg) Biodiversity value of perennial cropland (mio. ha) q30_land_snv(j) Land constraint for the SNV policy in cropland areas (mio. ha) q30_crop_reg(i) Total regional crop production area (mio. ha) + q30_land_snv_trans(j) Land transition constraint for SNV policy in cropland areas (mio. ha) ; *#################### R SECTION START (OUTPUT DECLARATIONS) #################### @@ -52,6 +56,7 @@ parameters oq30_bv_per(t,j,potnatveg,type) Biodiversity value of perennial cropland (mio. ha) oq30_land_snv(t,j,type) Land constraint for the SNV policy in cropland areas (mio. ha) oq30_crop_reg(t,i,type) Total regional crop production area (mio. ha) + oq30_land_snv_trans(t,j,type) Land transition constraint for SNV policy in cropland areas (mio. ha) ; *##################### R SECTION END (OUTPUT DECLARATIONS) ##################### diff --git a/modules/30_crop/endo_apr21/equations.gms b/modules/30_crop/endo_apr21/equations.gms index 4db5a7a40e..9d3278c88d 100644 --- a/modules/30_crop/endo_apr21/equations.gms +++ b/modules/30_crop/endo_apr21/equations.gms @@ -32,6 +32,14 @@ sum(ct, p30_snv_shr(ct,j2)) * vm_land(j2,"crop") + sum((ct,land_snv,consv_type), pm_land_conservation(ct,j2,land_snv,consv_type)); +*' The semi-natural vegetation constraint for cropland areas has been suggested at the per square +*' kilometer scale. The amount of cropland requiring relocation has therefore been derived from +*' exogeneous high-resolution land cover information from the Copernicus Global Land Service +*' (@buchhorn_copernicus_2020). + + q30_land_snv_trans(j2) .. + sum(land_snv, vm_lu_transitions(j2,"crop",land_snv)) =g= sum(ct, p30_snv_relocation(ct,j2)); + *' As additional constraints minimum and maximum rotational constraints limit *' the placing of crops. On the one hand, these rotational constraints reflect *' crop rotations limiting the share a specific crop can cover of the total area diff --git a/modules/30_crop/endo_apr21/input.gms b/modules/30_crop/endo_apr21/input.gms index 49b5d7ff4b..ca99711ca8 100644 --- a/modules/30_crop/endo_apr21/input.gms +++ b/modules/30_crop/endo_apr21/input.gms @@ -23,8 +23,10 @@ $setglobal c30_rotation_constraints on scalars s30_snv_shr Share of available cropland that is witheld for other land cover types (1) / 0 / s30_snv_shr_noselect Share of available cropland that is witheld for other land cover types (1) / 0 / -s30_snv_scenario_start SNV scenario start year / 2020 / +s30_snv_scenario_start SNV scenario start year / 2020 / s30_snv_scenario_target SNV scenario target year / 2030 / +s30_snv_relocation_data_x1 First reference value in SNV target cropland data (1) / 0.2 / +s30_snv_relocation_data_x2 Second reference value in SNV target cropland data (1) / 0.5 / s30_rotation_scenario_start Rotation scenario start year / 2020 / s30_rotation_scenario_target Rotation scenario target year / 2050 / s30_annual_max_growth Max annual cropland growth as share of previous cropland (-) / Inf / @@ -114,3 +116,10 @@ $include "./modules/30_crop/endo_apr21/input/avl_cropland_iso.cs3" $offdelim ; +********* SNV TARGET CROPLAND ******************************************* + +table f30_snv_target_cropland(j,relocation_target30) Cropland in 2019 requiring relocation due to SNV policy (mio. ha) +$ondelim +$include "./modules/30_crop/endo_apr21/input/SNVTargetCropland.cs3" +$offdelim +; diff --git a/modules/30_crop/endo_apr21/input/files b/modules/30_crop/endo_apr21/input/files index d3bdc6145d..d0cfbda228 100644 --- a/modules/30_crop/endo_apr21/input/files +++ b/modules/30_crop/endo_apr21/input/files @@ -5,3 +5,5 @@ avl_cropland.cs3 avl_cropland_0.5.mz f30_croparea_w_initialisation.cs3 avl_cropland_iso.cs3 +SNVTargetCropland.cs3 +SNVTargetCropland_0.5.mz diff --git a/modules/30_crop/endo_apr21/postsolve.gms b/modules/30_crop/endo_apr21/postsolve.gms index 069e808611..da81306fe2 100644 --- a/modules/30_crop/endo_apr21/postsolve.gms +++ b/modules/30_crop/endo_apr21/postsolve.gms @@ -21,6 +21,7 @@ oq30_bv_per(t,j,potnatveg,"marginal") = q30_bv_per.m(j,potnatveg); oq30_land_snv(t,j,"marginal") = q30_land_snv.m(j); oq30_crop_reg(t,i,"marginal") = q30_crop_reg.m(i); + oq30_land_snv_trans(t,j,"marginal") = q30_land_snv_trans.m(j); ov_fallow(t,j,"level") = vm_fallow.l(j); ov_area(t,j,kcr,w,"level") = vm_area.l(j,kcr,w); ov30_crop_area(t,i,"level") = v30_crop_area.l(i); @@ -35,6 +36,7 @@ oq30_bv_per(t,j,potnatveg,"level") = q30_bv_per.l(j,potnatveg); oq30_land_snv(t,j,"level") = q30_land_snv.l(j); oq30_crop_reg(t,i,"level") = q30_crop_reg.l(i); + oq30_land_snv_trans(t,j,"level") = q30_land_snv_trans.l(j); ov_fallow(t,j,"upper") = vm_fallow.up(j); ov_area(t,j,kcr,w,"upper") = vm_area.up(j,kcr,w); ov30_crop_area(t,i,"upper") = v30_crop_area.up(i); @@ -49,6 +51,7 @@ oq30_bv_per(t,j,potnatveg,"upper") = q30_bv_per.up(j,potnatveg); oq30_land_snv(t,j,"upper") = q30_land_snv.up(j); oq30_crop_reg(t,i,"upper") = q30_crop_reg.up(i); + oq30_land_snv_trans(t,j,"upper") = q30_land_snv_trans.up(j); ov_fallow(t,j,"lower") = vm_fallow.lo(j); ov_area(t,j,kcr,w,"lower") = vm_area.lo(j,kcr,w); ov30_crop_area(t,i,"lower") = v30_crop_area.lo(i); @@ -63,4 +66,5 @@ oq30_bv_per(t,j,potnatveg,"lower") = q30_bv_per.lo(j,potnatveg); oq30_land_snv(t,j,"lower") = q30_land_snv.lo(j); oq30_crop_reg(t,i,"lower") = q30_crop_reg.lo(i); + oq30_land_snv_trans(t,j,"lower") = q30_land_snv_trans.lo(j); *##################### R SECTION END (OUTPUT DEFINITIONS) ###################### diff --git a/modules/30_crop/endo_apr21/preloop.gms b/modules/30_crop/endo_apr21/preloop.gms index 695f756062..12c01058e1 100644 --- a/modules/30_crop/endo_apr21/preloop.gms +++ b/modules/30_crop/endo_apr21/preloop.gms @@ -7,8 +7,20 @@ ** Trajectory for cropland scenarios * sigmoidal interpolation between start year and target year -m_sigmoid_interpol(p30_snv_scenario_fader,s30_snv_scenario_start,s30_snv_scenario_target,0,1); -m_sigmoid_interpol(p30_rotation_scenario_fader,s30_rotation_scenario_start,s30_rotation_scenario_target,0,1); +m_sigmoid_time_interpol(p30_snv_scenario_fader,s30_snv_scenario_start,s30_snv_scenario_target,0,1); +m_sigmoid_time_interpol(p30_rotation_scenario_fader,s30_rotation_scenario_start,s30_rotation_scenario_target,0,1); + +* linear interpolation to estimate the cropland that +* requires relocation due to SNV policy +if (s30_snv_shr = 0, +i30_snv_relocation_target(j) = 0; + +elseif s30_snv_shr <= s30_snv_relocation_data_x1, +m_linear_cell_data_interpol(i30_snv_relocation_target, s30_snv_shr,0,s30_snv_relocation_data_x1,0, f30_snv_target_cropland(j, "SNV20TargetCropland")); + +elseif s30_snv_shr > s30_snv_relocation_data_x1, +m_linear_cell_data_interpol(i30_snv_relocation_target, s30_snv_shr,s30_snv_relocation_data_x1, s30_snv_relocation_data_x2,f30_snv_target_cropland(j, "SNV20TargetCropland"), f30_snv_target_cropland(j, "SNV50TargetCropland")); +); *due to some rounding errors the input data currently may contain in some cases *very small, negative numbers. These numbers have to be set to 0 as area diff --git a/modules/30_crop/endo_apr21/presolve.gms b/modules/30_crop/endo_apr21/presolve.gms index ebc93a828d..c09d38a77a 100644 --- a/modules/30_crop/endo_apr21/presolve.gms +++ b/modules/30_crop/endo_apr21/presolve.gms @@ -33,6 +33,20 @@ p30_snv_shr(t,j) = p30_snv_scenario_fader(t) * (s30_snv_shr * sum(cell(i,j), p30_country_snv_weight(i)) + s30_snv_shr_noselect * sum(cell(i,j), 1-p30_country_snv_weight(i))); +*' Cropland relocation in response to SNV policy is based on exogeneous land +*' cover information from the Copernicus Global Land Service (@buchhorn_copernicus_2020). +*' The rate of the policy implementation is derived based +*' on the difference of scenario fader values in consecutive time steps +p30_snv_relocation(t,j) = (p30_snv_scenario_fader(t) - p30_snv_scenario_fader(t-1)) * + (i30_snv_relocation_target(j) * sum(cell(i,j), p30_country_snv_weight(i)) + + s30_snv_shr_noselect * sum(cell(i,j), 1-p30_country_snv_weight(i))); +*' The following lines take care of mismatches in the input +*' data (derived from satellite imagery from the Copernicus +*' Global Land Service (@buchhorn_copernicus_2020)) and in +*' cases of cropland reduction +p30_max_snv_relocation(t,j) = p30_snv_shr(t,j) * (p30_snv_scenario_fader(t) - p30_snv_scenario_fader(t-1)) * pcm_land(j,"crop"); +p30_snv_relocation(t,j)$(p30_snv_relocation(t, j) > p30_max_snv_relocation(t,j)) = p30_max_snv_relocation(t,j); + *' Area potentially available for cropping p30_avl_cropland(t,j) = f30_avl_cropland(j,"%c30_marginal_land%") * (1 - p30_snv_shr(t,j)); *' @stop diff --git a/modules/30_crop/endo_apr21/sets.gms b/modules/30_crop/endo_apr21/sets.gms index e32d366b49..bbef560d17 100644 --- a/modules/30_crop/endo_apr21/sets.gms +++ b/modules/30_crop/endo_apr21/sets.gms @@ -53,4 +53,8 @@ sets policy_target30 Target year for cropland policy / none, by2030, by2050 / + + relocation_target30 Cropland requiring relocation based on different SNV targets + / SNV20TargetCropland, SNV50TargetCropland / + ; diff --git a/modules/30_crop/penalty_apr22/declarations.gms b/modules/30_crop/penalty_apr22/declarations.gms index 2d3a4e3f40..7ada2ddc74 100644 --- a/modules/30_crop/penalty_apr22/declarations.gms +++ b/modules/30_crop/penalty_apr22/declarations.gms @@ -9,7 +9,10 @@ parameters p30_avl_cropland(t,j) Total available land for crop cultivation (mio. ha) p30_country_snv_weight(i) SNV policy country weight per region (1) p30_snv_shr(t,j) Share of semi-natural vegetation in cropland areas (1) - p30_country_dummy(iso) Dummy parameter indicating whether country is affected by selected SNV policy (1) + i30_snv_relocation_target(j) Overall cropland area that requires relocation due to SNV policy (mio. ha) + p30_snv_relocation(t,j) Cropland area that is actually relocated during time step (mio. ha) + p30_max_snv_relocation(t,j) Maximum cropland relocation during time step (mio. ha) + p30_country_dummy(iso) Dummy parameter indicating whether country is affected by selected cropland policy (1) i30_avl_cropland_iso(iso) Available land area for cropland at ISO level (mio. ha) i30_rotation_incentives(t_all,rota30) Penalty for violating rotational constraints (USD05MER per ha) p30_snv_scenario_fader(t_all) SNV scenario fader (1) @@ -39,6 +42,7 @@ equations q30_bv_per(j,potnatveg) Biodiversity value of perennial cropland (mio. ha) q30_land_snv(j) Land constraint for the SNV policy in cropland areas (mio. ha) q30_crop_reg(i) Total regional crop production area (mio. ha) + q30_land_snv_trans(j) Land transition constraint for SNV policy in cropland areas (mio. ha) ; *#################### R SECTION START (OUTPUT DECLARATIONS) #################### @@ -61,6 +65,7 @@ parameters oq30_bv_per(t,j,potnatveg,type) Biodiversity value of perennial cropland (mio. ha) oq30_land_snv(t,j,type) Land constraint for the SNV policy in cropland areas (mio. ha) oq30_crop_reg(t,i,type) Total regional crop production area (mio. ha) + oq30_land_snv_trans(t,j,type) Land transition constraint for SNV policy in cropland areas (mio. ha) ; *##################### R SECTION END (OUTPUT DECLARATIONS) ##################### diff --git a/modules/30_crop/penalty_apr22/equations.gms b/modules/30_crop/penalty_apr22/equations.gms index e53972bb4e..341053f89d 100644 --- a/modules/30_crop/penalty_apr22/equations.gms +++ b/modules/30_crop/penalty_apr22/equations.gms @@ -34,6 +34,14 @@ sum(ct, p30_snv_shr(ct,j2)) * vm_land(j2,"crop") + sum((ct,land_snv,consv_type), pm_land_conservation(ct,j2,land_snv,consv_type)); +*' The semi-natural vegetation constraint for cropland areas has been suggested at the per square +*' kilometer scale. The amount of cropland requiring relocation has therefore been derived from +*' exogeneous high-resolution land cover information from the Copernicus Global Land Service +*' (@buchhorn_copernicus_2020). + + q30_land_snv_trans(j2) .. + sum(land_snv, vm_lu_transitions(j2,"crop",land_snv)) =g= sum(ct, p30_snv_relocation(ct,j2)); + *' Rotational constraints prevent over-specialization. In this module realization, *' they are implemented via a penalty payment if the constraints are violated. diff --git a/modules/30_crop/penalty_apr22/input.gms b/modules/30_crop/penalty_apr22/input.gms index 1734221dd9..ec9f7a2468 100644 --- a/modules/30_crop/penalty_apr22/input.gms +++ b/modules/30_crop/penalty_apr22/input.gms @@ -34,6 +34,8 @@ s30_snv_scenario_target SNV scenario target year / 2030 / s30_rotation_scenario_start Rotation scenario start year / 2020 / s30_rotation_scenario_target Rotation scenario target year / 2050 / s30_annual_max_growth Max annual cropland growth as share of previous cropland (-) / Inf / +s30_snv_relocation_data_x1 First reference value in SNV target cropland data (1) / 0.2 / +s30_snv_relocation_data_x2 Second reference value in SNV target cropland data (1) / 0.5 / ; * Set-switch for countries affected by regional SNV policy @@ -116,3 +118,10 @@ $include "./modules/30_crop/penalty_apr22/input/avl_cropland_iso.cs3" $offdelim ; +********* SNV TARGET CROPLAND ******************************************* + +table f30_snv_target_cropland(j,relocation_target30) Cropland in 2019 requiring relocation due to SNV policy (mio. ha) +$ondelim +$include "./modules/30_crop/penalty_apr22/input/SNVTargetCropland.cs3" +$offdelim +; diff --git a/modules/30_crop/penalty_apr22/input/files b/modules/30_crop/penalty_apr22/input/files index af07706adc..b1795d1c21 100644 --- a/modules/30_crop/penalty_apr22/input/files +++ b/modules/30_crop/penalty_apr22/input/files @@ -5,3 +5,5 @@ avl_cropland.cs3 avl_cropland_0.5.mz f30_croparea_w_initialisation.cs3 avl_cropland_iso.cs3 +SNVTargetCropland.cs3 +SNVTargetCropland_0.5.mz diff --git a/modules/30_crop/penalty_apr22/postsolve.gms b/modules/30_crop/penalty_apr22/postsolve.gms index 8adb586dd2..d9479c87ee 100644 --- a/modules/30_crop/penalty_apr22/postsolve.gms +++ b/modules/30_crop/penalty_apr22/postsolve.gms @@ -25,6 +25,7 @@ oq30_bv_per(t,j,potnatveg,"marginal") = q30_bv_per.m(j,potnatveg); oq30_land_snv(t,j,"marginal") = q30_land_snv.m(j); oq30_crop_reg(t,i,"marginal") = q30_crop_reg.m(i); + oq30_land_snv_trans(t,j,"marginal") = q30_land_snv_trans.m(j); ov_fallow(t,j,"level") = vm_fallow.l(j); ov_area(t,j,kcr,w,"level") = vm_area.l(j,kcr,w); ov_rotation_penalty(t,i,"level") = vm_rotation_penalty.l(i); @@ -43,6 +44,7 @@ oq30_bv_per(t,j,potnatveg,"level") = q30_bv_per.l(j,potnatveg); oq30_land_snv(t,j,"level") = q30_land_snv.l(j); oq30_crop_reg(t,i,"level") = q30_crop_reg.l(i); + oq30_land_snv_trans(t,j,"level") = q30_land_snv_trans.l(j); ov_fallow(t,j,"upper") = vm_fallow.up(j); ov_area(t,j,kcr,w,"upper") = vm_area.up(j,kcr,w); ov_rotation_penalty(t,i,"upper") = vm_rotation_penalty.up(i); @@ -61,6 +63,7 @@ oq30_bv_per(t,j,potnatveg,"upper") = q30_bv_per.up(j,potnatveg); oq30_land_snv(t,j,"upper") = q30_land_snv.up(j); oq30_crop_reg(t,i,"upper") = q30_crop_reg.up(i); + oq30_land_snv_trans(t,j,"upper") = q30_land_snv_trans.up(j); ov_fallow(t,j,"lower") = vm_fallow.lo(j); ov_area(t,j,kcr,w,"lower") = vm_area.lo(j,kcr,w); ov_rotation_penalty(t,i,"lower") = vm_rotation_penalty.lo(i); @@ -79,4 +82,5 @@ oq30_bv_per(t,j,potnatveg,"lower") = q30_bv_per.lo(j,potnatveg); oq30_land_snv(t,j,"lower") = q30_land_snv.lo(j); oq30_crop_reg(t,i,"lower") = q30_crop_reg.lo(i); + oq30_land_snv_trans(t,j,"lower") = q30_land_snv_trans.lo(j); *##################### R SECTION END (OUTPUT DEFINITIONS) ###################### diff --git a/modules/30_crop/penalty_apr22/preloop.gms b/modules/30_crop/penalty_apr22/preloop.gms index ee7f996e18..49e706ac28 100644 --- a/modules/30_crop/penalty_apr22/preloop.gms +++ b/modules/30_crop/penalty_apr22/preloop.gms @@ -7,8 +7,20 @@ ** Trajectory for cropland scenarios * sigmoidal interpolation between start year and target year -m_sigmoid_interpol(p30_snv_scenario_fader,s30_snv_scenario_start,s30_snv_scenario_target,0,1); -m_sigmoid_interpol(p30_rotation_scenario_fader,s30_rotation_scenario_start,s30_rotation_scenario_target,0,1); +m_sigmoid_time_interpol(p30_snv_scenario_fader,s30_snv_scenario_start,s30_snv_scenario_target,0,1); +m_sigmoid_time_interpol(p30_rotation_scenario_fader,s30_rotation_scenario_start,s30_rotation_scenario_target,0,1); + +* linear interpolation to estimate the cropland that +* requires relocation due to SNV policy +if (s30_snv_shr = 0, +i30_snv_relocation_target(j) = 0; + +elseif s30_snv_shr <= s30_snv_relocation_data_x1, +m_linear_cell_data_interpol(i30_snv_relocation_target, s30_snv_shr,0,s30_snv_relocation_data_x1,0, f30_snv_target_cropland(j, "SNV20TargetCropland")); + +elseif s30_snv_shr > s30_snv_relocation_data_x1, +m_linear_cell_data_interpol(i30_snv_relocation_target, s30_snv_shr,s30_snv_relocation_data_x1, s30_snv_relocation_data_x2,f30_snv_target_cropland(j, "SNV20TargetCropland"), f30_snv_target_cropland(j, "SNV50TargetCropland")); +); ** create crop rotation scenario diff --git a/modules/30_crop/penalty_apr22/presolve.gms b/modules/30_crop/penalty_apr22/presolve.gms index 9e06ed2d39..9b3978f719 100644 --- a/modules/30_crop/penalty_apr22/presolve.gms +++ b/modules/30_crop/penalty_apr22/presolve.gms @@ -25,6 +25,20 @@ p30_snv_shr(t,j) = p30_snv_scenario_fader(t) * (s30_snv_shr * sum(cell(i,j), p30_country_snv_weight(i)) + s30_snv_shr_noselect * sum(cell(i,j), 1-p30_country_snv_weight(i))); +*' Cropland relocation in response to SNV policy is based on exogeneous land +*' cover information from the Copernicus Global Land Service (@buchhorn_copernicus_2020). +*' The rate of the policy implementation is derived based +*' on the difference of scenario fader values in consecutive time steps +p30_snv_relocation(t,j) = (p30_snv_scenario_fader(t) - p30_snv_scenario_fader(t-1)) * + (i30_snv_relocation_target(j) * sum(cell(i,j), p30_country_snv_weight(i)) + + s30_snv_shr_noselect * sum(cell(i,j), 1-p30_country_snv_weight(i))); +*' The following lines take care of mismatches in the input +*' data (derived from satellite imagery from the Copernicus +*' Global Land Service (@buchhorn_copernicus_2020)) and in +*' cases of cropland reduction +p30_max_snv_relocation(t,j) = p30_snv_shr(t,j) * (p30_snv_scenario_fader(t) - p30_snv_scenario_fader(t-1)) * pcm_land(j,"crop"); +p30_snv_relocation(t,j)$(p30_snv_relocation(t, j) > p30_max_snv_relocation(t,j)) = p30_max_snv_relocation(t,j); + *' Area potentially available for cropping p30_avl_cropland(t,j) = f30_avl_cropland(j,"%c30_marginal_land%") * (1 - p30_snv_shr(t,j)); *' @stop diff --git a/modules/30_crop/rotation_apr22/declarations.gms b/modules/30_crop/rotation_apr22/declarations.gms index d27cc3a1c8..42020926ab 100644 --- a/modules/30_crop/rotation_apr22/declarations.gms +++ b/modules/30_crop/rotation_apr22/declarations.gms @@ -9,7 +9,10 @@ parameters p30_avl_cropland(t,j) Total available land for crop cultivation (mio. ha) p30_country_snv_weight(i) SNV policy country weight per region (1) p30_snv_shr(t,j) Share of semi-natural vegetation in cropland areas (1) - p30_country_dummy(iso) Dummy parameter indicating whether country is affected by selected SNV policy (1) + i30_snv_relocation_target(j) Overall cropland area that requires relocation due SNV policy (mio. ha) + p30_snv_relocation(t,j) Cropland area that is actually relocated during time step (mio. ha) + p30_max_snv_relocation(t,j) Maximum cropland relocation during time step (mio. ha) + p30_country_dummy(iso) Dummy parameter indicating whether country is affected by selected cropland policy (1) i30_avl_cropland_iso(iso) Available land area for cropland at ISO level (mio. ha) i30_rotation_max_shr(t_all,rotamax30) Maximum share of a certain crop group on cropland (ha per ha) i30_rotation_min_shr(t_all,rotamin30) Minimum share of a certain crop group on cropland (ha per ha) @@ -37,6 +40,7 @@ equations q30_bv_per(j,potnatveg) Biodiversity value of perennial cropland (mio. ha) q30_land_snv(j) Land constraint for the SNV policy in cropland areas (mio. ha) q30_crop_reg(i) Total regional crop production area (mio. ha) + q30_land_snv_trans(j) Land transition constraint for SNV policy in cropland areas (mio. ha) ; *#################### R SECTION START (OUTPUT DECLARATIONS) #################### @@ -56,6 +60,7 @@ parameters oq30_bv_per(t,j,potnatveg,type) Biodiversity value of perennial cropland (mio. ha) oq30_land_snv(t,j,type) Land constraint for the SNV policy in cropland areas (mio. ha) oq30_crop_reg(t,i,type) Total regional crop production area (mio. ha) + oq30_land_snv_trans(t,j,type) Land transition constraint for SNV policy in cropland areas (mio. ha) ; *##################### R SECTION END (OUTPUT DECLARATIONS) ##################### diff --git a/modules/30_crop/rotation_apr22/equations.gms b/modules/30_crop/rotation_apr22/equations.gms index 9938020200..05baf7558b 100644 --- a/modules/30_crop/rotation_apr22/equations.gms +++ b/modules/30_crop/rotation_apr22/equations.gms @@ -34,6 +34,14 @@ sum(ct, p30_snv_shr(ct,j2)) * vm_land(j2,"crop") + sum((ct,land_snv,consv_type), pm_land_conservation(ct,j2,land_snv,consv_type)); +*' The semi-natural vegetation constraint for cropland areas has been suggested at the per square +*' kilometer scale. The amount of cropland requiring relocation has therefore been derived from +*' exogeneous high-resolution land cover information from the Copernicus Global Land Service +*' (@buchhorn_copernicus_2020). + + q30_land_snv_trans(j2) .. + sum(land_snv, vm_lu_transitions(j2,"crop",land_snv)) =g= sum(ct, p30_snv_relocation(ct,j2)); + *' As additional constraints minimum and maximum rotational constraints limit *' the placing of crops. On the one hand, these rotational constraints reflect *' crop rotations limiting the share a specific crop can cover of the total area diff --git a/modules/30_crop/rotation_apr22/input.gms b/modules/30_crop/rotation_apr22/input.gms index 1b6bb49c87..324219e936 100644 --- a/modules/30_crop/rotation_apr22/input.gms +++ b/modules/30_crop/rotation_apr22/input.gms @@ -34,6 +34,8 @@ s30_snv_scenario_target SNV scenario target year / 2030 / s30_rotation_scenario_start Rotation scenario start year / 2020 / s30_rotation_scenario_target Rotation scenario target year / 2050 / s30_annual_max_growth Max annual cropland growth as share of previous cropland (-) / Inf / +s30_snv_relocation_data_x1 First reference value in SNV target cropland data (1) / 0.2 / +s30_snv_relocation_data_x2 Second reference value in SNV target cropland data (1) / 0.5 / ; * Set-switch for countries affected by regional SNV policy @@ -117,3 +119,10 @@ $include "./modules/30_crop/rotation_apr22/input/avl_cropland_iso.cs3" $offdelim ; +********* SNV TARGET CROPLAND ******************************************* + +table f30_snv_target_cropland(j,relocation_target30) Cropland in 2019 requiring relocation due to SNV policy (mio. ha) +$ondelim +$include "./modules/30_crop/rotation_apr22/input/SNVTargetCropland.cs3" +$offdelim +; diff --git a/modules/30_crop/rotation_apr22/input/files b/modules/30_crop/rotation_apr22/input/files index 960da6079d..6fe1594cf5 100644 --- a/modules/30_crop/rotation_apr22/input/files +++ b/modules/30_crop/rotation_apr22/input/files @@ -5,3 +5,5 @@ avl_cropland.cs3 avl_cropland_0.5.mz f30_croparea_w_initialisation.cs3 avl_cropland_iso.cs3 +SNVTargetCropland.cs3 +SNVTargetCropland_0.5.mz diff --git a/modules/30_crop/rotation_apr22/postsolve.gms b/modules/30_crop/rotation_apr22/postsolve.gms index df8f34f52e..3f73b7cfb7 100644 --- a/modules/30_crop/rotation_apr22/postsolve.gms +++ b/modules/30_crop/rotation_apr22/postsolve.gms @@ -22,6 +22,7 @@ oq30_bv_per(t,j,potnatveg,"marginal") = q30_bv_per.m(j,potnatveg); oq30_land_snv(t,j,"marginal") = q30_land_snv.m(j); oq30_crop_reg(t,i,"marginal") = q30_crop_reg.m(i); + oq30_land_snv_trans(t,j,"marginal") = q30_land_snv_trans.m(j); ov_fallow(t,j,"level") = vm_fallow.l(j); ov_area(t,j,kcr,w,"level") = vm_area.l(j,kcr,w); ov_rotation_penalty(t,i,"level") = vm_rotation_penalty.l(i); @@ -37,6 +38,7 @@ oq30_bv_per(t,j,potnatveg,"level") = q30_bv_per.l(j,potnatveg); oq30_land_snv(t,j,"level") = q30_land_snv.l(j); oq30_crop_reg(t,i,"level") = q30_crop_reg.l(i); + oq30_land_snv_trans(t,j,"level") = q30_land_snv_trans.l(j); ov_fallow(t,j,"upper") = vm_fallow.up(j); ov_area(t,j,kcr,w,"upper") = vm_area.up(j,kcr,w); ov_rotation_penalty(t,i,"upper") = vm_rotation_penalty.up(i); @@ -52,6 +54,7 @@ oq30_bv_per(t,j,potnatveg,"upper") = q30_bv_per.up(j,potnatveg); oq30_land_snv(t,j,"upper") = q30_land_snv.up(j); oq30_crop_reg(t,i,"upper") = q30_crop_reg.up(i); + oq30_land_snv_trans(t,j,"upper") = q30_land_snv_trans.up(j); ov_fallow(t,j,"lower") = vm_fallow.lo(j); ov_area(t,j,kcr,w,"lower") = vm_area.lo(j,kcr,w); ov_rotation_penalty(t,i,"lower") = vm_rotation_penalty.lo(i); @@ -67,4 +70,5 @@ oq30_bv_per(t,j,potnatveg,"lower") = q30_bv_per.lo(j,potnatveg); oq30_land_snv(t,j,"lower") = q30_land_snv.lo(j); oq30_crop_reg(t,i,"lower") = q30_crop_reg.lo(i); + oq30_land_snv_trans(t,j,"lower") = q30_land_snv_trans.lo(j); *##################### R SECTION END (OUTPUT DEFINITIONS) ###################### diff --git a/modules/30_crop/rotation_apr22/preloop.gms b/modules/30_crop/rotation_apr22/preloop.gms index feaa2aeed3..28af80e373 100644 --- a/modules/30_crop/rotation_apr22/preloop.gms +++ b/modules/30_crop/rotation_apr22/preloop.gms @@ -8,9 +8,20 @@ ** Trajectory for cropland scenarios * sigmoidal interpolation between start year and target year -m_sigmoid_interpol(p30_snv_scenario_fader,s30_snv_scenario_start,s30_snv_scenario_target,0,1); -m_sigmoid_interpol(p30_rotation_scenario_fader,s30_rotation_scenario_start,s30_rotation_scenario_target,0,1); +m_sigmoid_time_interpol(p30_snv_scenario_fader,s30_snv_scenario_start,s30_snv_scenario_target,0,1); +m_sigmoid_time_interpol(p30_rotation_scenario_fader,s30_rotation_scenario_start,s30_rotation_scenario_target,0,1); +* linear interpolation to estimate the cropland that +* requires relocation due to SNV policy +if (s30_snv_shr = 0, +i30_snv_relocation_target(j) = 0; + +elseif s30_snv_shr <= s30_snv_relocation_data_x1, +m_linear_cell_data_interpol(i30_snv_relocation_target, s30_snv_shr,0,s30_snv_relocation_data_x1,0, f30_snv_target_cropland(j, "SNV20TargetCropland")); + +elseif s30_snv_shr > s30_snv_relocation_data_x1, +m_linear_cell_data_interpol(i30_snv_relocation_target, s30_snv_shr,s30_snv_relocation_data_x1, s30_snv_relocation_data_x2,f30_snv_target_cropland(j, "SNV20TargetCropland"), f30_snv_target_cropland(j, "SNV50TargetCropland")); +); ** create crop rotation scenario i30_rotation_max_shr(t_all,rotamax30)= diff --git a/modules/30_crop/rotation_apr22/presolve.gms b/modules/30_crop/rotation_apr22/presolve.gms index 6598009c50..b7f9dde6ea 100644 --- a/modules/30_crop/rotation_apr22/presolve.gms +++ b/modules/30_crop/rotation_apr22/presolve.gms @@ -25,6 +25,19 @@ p30_snv_shr(t,j) = p30_snv_scenario_fader(t) * (s30_snv_shr * sum(cell(i,j), p30_country_snv_weight(i)) + s30_snv_shr_noselect * sum(cell(i,j), 1-p30_country_snv_weight(i))); +*' Cropland relocation in response to SNV policy is based on exogeneous land +*' cover information from the Copernicus Global Land Service (@buchhorn_copernicus_2020). +*' The rate of the policy implementation is derived based +*' on the difference of scenario fader values in consecutive time steps +p30_snv_relocation(t,j) = (p30_snv_scenario_fader(t) - p30_snv_scenario_fader(t-1)) * + (i30_snv_relocation_target(j) * sum(cell(i,j), p30_country_snv_weight(i)) + + s30_snv_shr_noselect * sum(cell(i,j), 1-p30_country_snv_weight(i))); +*' The following lines take care of mismatches in the input +*' data (derived from satellite imagery) and in +*' cases of cropland reduction +p30_max_snv_relocation(t,j) = p30_snv_shr(t,j) * (p30_snv_scenario_fader(t) - p30_snv_scenario_fader(t-1)) * pcm_land(j,"crop"); +p30_snv_relocation(t,j)$(p30_snv_relocation(t, j) > p30_max_snv_relocation(t,j)) = p30_max_snv_relocation(t,j); + *' Area potentially available for cropping p30_avl_cropland(t,j) = f30_avl_cropland(j,"%c30_marginal_land%") * (1 - p30_snv_shr(t,j)); *' @stop diff --git a/modules/35_natveg/dynamic_feb21/preloop.gms b/modules/35_natveg/dynamic_feb21/preloop.gms index e277913b3b..75ed687dd8 100644 --- a/modules/35_natveg/dynamic_feb21/preloop.gms +++ b/modules/35_natveg/dynamic_feb21/preloop.gms @@ -65,4 +65,4 @@ p35_land_start_ac(j,ac,"secdforest") = i35_secdforest(j,ac); * ----------------------------- * Set forest damage trajectory * ----------------------------- -m_sigmoid_interpol(p35_damage_fader,sm_fix_SSP2,s35_forest_damage_end,0,1); +m_sigmoid_time_interpol(p35_damage_fader,sm_fix_SSP2,s35_forest_damage_end,0,1); diff --git a/modules/42_water_demand/agr_sector_aug13/preloop.gms b/modules/42_water_demand/agr_sector_aug13/preloop.gms index 351a33dac8..fbf5faba06 100644 --- a/modules/42_water_demand/agr_sector_aug13/preloop.gms +++ b/modules/42_water_demand/agr_sector_aug13/preloop.gms @@ -13,5 +13,5 @@ i42_wat_req_k(t,j,kli) = f42_wat_req_kli(kli); * Trajectory for environmental flow policy * (linear interpolation from start year to target year) p42_efp(t_all,"off") = 0; -m_linear_interpol(p42_efp_fader, s42_efp_startyear, s42_efp_targetyear, 0, 1); +m_linear_time_interpol(p42_efp_fader, s42_efp_startyear, s42_efp_targetyear, 0, 1); p42_efp(t_all, "on") = p42_efp_fader(t_all); diff --git a/modules/42_water_demand/all_sectors_aug13/preloop.gms b/modules/42_water_demand/all_sectors_aug13/preloop.gms index 351a33dac8..fbf5faba06 100644 --- a/modules/42_water_demand/all_sectors_aug13/preloop.gms +++ b/modules/42_water_demand/all_sectors_aug13/preloop.gms @@ -13,5 +13,5 @@ i42_wat_req_k(t,j,kli) = f42_wat_req_kli(kli); * Trajectory for environmental flow policy * (linear interpolation from start year to target year) p42_efp(t_all,"off") = 0; -m_linear_interpol(p42_efp_fader, s42_efp_startyear, s42_efp_targetyear, 0, 1); +m_linear_time_interpol(p42_efp_fader, s42_efp_startyear, s42_efp_targetyear, 0, 1); p42_efp(t_all, "on") = p42_efp_fader(t_all); diff --git a/modules/44_biodiversity/bv_btc_mar21/preloop.gms b/modules/44_biodiversity/bv_btc_mar21/preloop.gms index e8fdf5e457..9a070d91b3 100644 --- a/modules/44_biodiversity/bv_btc_mar21/preloop.gms +++ b/modules/44_biodiversity/bv_btc_mar21/preloop.gms @@ -6,6 +6,6 @@ *** | Contact: magpie@pik-potsdam.de v44_bv_weighted.l(j) = 0.3; -m_linear_interpol(p44_price_bv_loss,s44_start_year,s44_target_year,s44_start_price,s44_target_price); +m_linear_time_interpol(p44_price_bv_loss,s44_start_year,s44_target_year,s44_start_price,s44_target_price); p44_price_bv_loss(t_all)$(m_year(t_all) < s44_start_year) = 0; display p44_price_bv_loss; diff --git a/modules/52_carbon/normal_dec17/input.gms b/modules/52_carbon/normal_dec17/input.gms index f9e9d2f35d..cca246899a 100644 --- a/modules/52_carbon/normal_dec17/input.gms +++ b/modules/52_carbon/normal_dec17/input.gms @@ -55,4 +55,5 @@ $elseif "%c52_land_carbon_sink_rcp%" == "nocc_hist" i52_land_carbon_sink(t_all,i)$(m_year(t_all) > sm_fix_cc) = f52_land_carbon_sink(t_all,i,"RCPBU")$(m_year(t_all) = sm_fix_cc); $else i52_land_carbon_sink(t_all,i) = f52_land_carbon_sink(t_all,i,"%c52_land_carbon_sink_rcp%"); + i52_land_carbon_sink(t_all,i)$(m_year(t_all) <= sm_fix_cc) = f52_land_carbon_sink(t_all,i,"RCPBU")$(m_year(t_all) <= sm_fix_cc); $endif