| Average Crop Yield t-crop/ha/y |
ACY |
DCYCA SQICA WELY CO2ELY FRA |
CYRA |
CRSU |
|
\(\mathtt{ACY}\left(t\right)=\left(\mathtt{CYRA}\cdot\mathtt{FRA}\left(t\right)+\left(1-\mathtt{FRA}\left(t\right)\right)\cdot\mathtt{DCYCA}\left(t\right)\cdot\mathtt{SQICA}\left(t\right)\right)\cdot\mathtt{CO2ELY}\left(t\right)\cdot\mathtt{WELY}\left(t\right)\) |
| Amount of Fertilizer Saved in Reg Ag kgN/ha/y |
AFSRA |
|
SFU |
FCR |
|
\(\mathtt{AFSRA}\left(t\right)=270-\mathtt{SFU}\) |
| Acceptable Loss of Forestry Land (1) |
ALFL |
FFLR |
TFFLR |
CREX |
|
\(\mathtt{ALFL}\left(t\right)=1-e^{\frac{-\mathtt{FFLR}\left(t\right)}{\mathtt{TFFLR}}}\) |
| BArren LAnd Mha |
BALA |
CRLO |
|
|
3000.0 |
\(\frac{\mathrm{d}\mathtt{BALA}\left(t\right)}{\mathrm{d}t}=\mathtt{CRLO}\left(t\right)\) |
| BIofuels USe Mtoe/y |
BIUS |
|
|
CRBI |
|
\(\mathtt{withlookup}(t, [(1980.0, 0.0), (1990.0, 0.0), (2000.0, 0.0), (2020.0, 0.0), (2100.0, 0.0)])\) |
| Cropland Expansion Multiplier (1) |
CEM |
|
SSP2LMA |
CREX |
|
\(\mathtt{CEM}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),1-\mathtt{SSP2LMA}\cdot\mathtt{ramp}\left(t,0.013,2000,2100\right),1\right)\) |
| Cost Index for Regenerative Agriculture (1) |
CIRA |
NDRA |
CRDRA |
ECRA |
|
\(\mathtt{CIRA}\left(t\right)=\left(1-\mathtt{CRDRA}\right)^{\mathtt{NDRA}\left(t\right)}\) |
| CO2 Absorption in Forestry Land GtCO2/y |
CO2AFL |
CO2AFLH FOLA WELY CO2ELY |
|
CO2ELULUC |
|
\(\mathtt{CO2AFL}\left(t\right)=\frac{1}{1000}\cdot\mathtt{CO2AFLH}\left(t\right)\cdot\mathtt{CO2ELY}\left(t\right)\cdot\mathtt{FOLA}\left(t\right)\cdot\mathtt{WELY}\left(t\right)\) |
| CO2 Absorption in Forestry Land tCO2/ha/y |
CO2AFLH |
FAM |
|
CO2AFL |
|
\(\mathtt{CO2AFLH}\left(t\right)=1.6\cdot\mathtt{FAM}\left(t\right)\) |
| CO2 Emissions from LULUC GtCO2/y |
CO2ELULUC |
ECO2ARA CO2AFL CO2RFC |
|
CO2E |
|
\(\mathtt{CO2ELULUC}\left(t\right)=-\mathtt{CO2AFL}\left(t\right)-\mathtt{ECO2ARA}\left(t\right)+\mathtt{CO2RFC}\left(t\right)\) |
| CO2 Effect on Land Yield (1) |
CO2ELY |
CO2CA |
CO2CEACY CO2C2022 |
ACY CO2AFL GLY80 |
|
\(\mathtt{CO2ELY}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),1+\mathtt{CO2CEACY}\cdot\left(-1+\frac{\mathtt{CO2CA}\left(t\right)}{\mathtt{CO2C2022}}\right),1\right)\) |
| CO2 Release from Forest Cut GtCO2/y |
CO2RFC |
OGRE CREX |
CO2RHFC |
CO2ELULUC |
|
\(\mathtt{CO2RFC}\left(t\right)=\frac{1}{1000}\cdot\mathtt{CO2RHFC}\cdot\left(\mathtt{CREX}\left(t\right)+\mathtt{OGRE}\left(t\right)\right)\) |
| COst of FErtilizer Gdollar/y |
COFE |
FEUS |
CTF |
COFO |
|
\(\mathtt{COFE}\left(t\right)=\frac{1}{1000}\cdot\mathtt{CTF}\cdot\mathtt{FEUS}\left(t\right)\) |
| COst of FOod Gdollar/y |
COFO |
CRA COFE GDP |
AFGDP |
CFETA |
|
\(\mathtt{COFO}\left(t\right)=\mathtt{AFGDP}\cdot\mathtt{GDP}\left(t\right)+\mathtt{COFE}\left(t\right)+\mathtt{CRA}\left(t\right)\) |
| Cost of Regenerative Agriculture Gdollar/y |
CRA |
ECRA RAA |
|
COFO ECFT |
|
\(\mathtt{CRA}\left(t\right)=\frac{1}{1000}\cdot\mathtt{ECRA}\left(t\right)\cdot\mathtt{RAA}\left(t\right)\) |
| CRop BAlance (1) |
CRBA |
CRUS DCS |
|
PCB RMSP |
|
\(\mathtt{CRBA}\left(t\right)=\frac{\mathtt{CRUS}\left(t\right)}{\mathtt{DCS}\left(t\right)}\) |
| CRops for BIofuel Mt-crop/y |
CRBI |
BIUS |
TCTB |
CRDE |
|
\(\mathtt{CRBI}\left(t\right)=\mathtt{TCTB}\cdot\mathtt{BIUS}\left(t\right)\) |
| CRop DEmand Mt-crop/y |
CRDE |
TUCERM FERM CRBI |
|
DCS |
|
\(\mathtt{CRDE}\left(t\right)=\mathtt{CRBI}\left(t\right)+\mathtt{FERM}\left(t\right)+\mathtt{TUCERM}\left(t\right)\) |
| CRopland EXpansion Mha/y |
CREX |
CREXR FOLA ALFL CRLA CEM |
|
CRLA FOLA CO2RFC LFL |
|
\(\mathtt{CREX}\left(t\right)=\mathtt{ifelse}\left(\left(\mathtt{FOLA}\left(t\right)>0\right),\mathtt{CREXR}\left(t\right)\cdot\mathtt{CRLA}\left(t\right),0\right)\cdot\mathtt{ALFL}\left(t\right)\cdot\mathtt{CEM}\left(t\right)\) |
| CRopland EXpansion Rate 1/y |
CREXR |
PCB |
CBECLE |
CREX |
|
\(\mathtt{CREXR}\left(t\right)=0.005+\mathtt{CBECLE}\cdot\left(-1+\mathtt{PCB}\left(t\right)\right)\) |
| CRopLAnd Mha |
CRLA |
UREX CRLO CREX |
|
CREX CRLO CRSU CSRA DCYCA FEUS FOFO RAA |
1450.0 |
\(\frac{\mathrm{d}\mathtt{CRLA}\left(t\right)}{\mathrm{d}t}=-\mathtt{CRLO}\left(t\right)-\mathtt{UREX}\left(t\right)+\mathtt{CREX}\left(t\right)\) |
| CRopland LOss Mha/y |
CRLO |
CRLA LER |
|
BALA CRLA LOCR |
|
\(\mathtt{CRLO}\left(t\right)=\mathtt{CRLA}\left(t\right)\cdot\mathtt{LER}\left(t\right)\) |
| CRop SUpply (after 20 % waste) Mt-crop/y |
CRSU |
ACY CRLA |
|
MMCH4E CRUS |
|
\(\mathtt{CRSU}\left(t\right)=\mathtt{ACY}\left(t\right)\cdot\mathtt{CRLA}\left(t\right)\) |
| CRop USe Mt/y |
CRUS |
CRSU CWR |
|
CRBA CRUSP |
|
\(\mathtt{CRUS}\left(t\right)=\left(1+\mathtt{CWR}\left(t\right)\right)\cdot\mathtt{CRSU}\left(t\right)\) |
| CRop USe per Person t-crop/p/y |
CRUSP |
POP CRUS |
|
|
|
\(\mathtt{CRUSP}\left(t\right)=\frac{\mathtt{CRUS}\left(t\right)}{\mathtt{POP}\left(t\right)}\) |
| Change in Soil Quality in Conv Ag t-crop/ha/y/y |
CSQCA |
SQICA ROCSQCA |
|
SQICA |
|
\(\mathtt{CSQCA}\left(t\right)=\mathtt{ROCSQCA}\left(t\right)\cdot\mathtt{SQICA}\left(t\right)\) |
| Crop Supply Reg Ag Mt-crop/y |
CSRA |
CRLA FRA |
CYRA |
DCSCA |
|
\(\mathtt{CSRA}\left(t\right)=\mathtt{CYRA}\cdot\mathtt{CRLA}\left(t\right)\cdot\mathtt{FRA}\left(t\right)\) |
| Crop Waste Reduction (1) |
CWR |
IPP |
GCWR |
CRUS |
|
\(\mathtt{CWR}\left(t\right)=\mathtt{ramp}\left(t,\frac{\mathtt{GCWR}}{\mathtt{IPP}\left(t\right)},2000,2000+\mathtt{IPP}\left(t\right)\right)\) |
| Desired Crop Supply Mt-crop/y |
DCS |
CRDE |
|
CRBA DCSCA |
|
\(\mathtt{DCS}\left(t\right)=\mathtt{CRDE}\left(t\right)\) |
| Desired Crop Supply Conv Ag Mt-crop/y |
DCSCA |
DCS CSRA |
|
DCYCA |
|
\(\mathtt{DCSCA}\left(t\right)=-\mathtt{CSRA}\left(t\right)+\mathtt{DCS}\left(t\right)\) |
| Desired Crop Yield in Conv Ag t-crop/ha/y |
DCYCA |
CRLA DCSCA FRA |
|
ACY TFUCA |
|
\(\mathtt{DCYCA}\left(t\right)=\frac{\mathtt{DCSCA}\left(t\right)}{\left(1-\mathtt{FRA}\left(t\right)\right)\cdot\mathtt{CRLA}\left(t\right)}\) |
| Demand for Red Meat Mt-red-meat/y |
DRM |
POP DRMP FNRM |
|
RMF RMGL |
|
\(\mathtt{DRM}\left(t\right)=\frac{1}{1000}\cdot\left(1-\mathtt{FNRM}\left(t\right)\right)\cdot\mathtt{DRMP}\left(t\right)\cdot\mathtt{POP}\left(t\right)\) |
| Demand for Red Meat per Person kg-red-meat/p/y |
DRMP |
TURMP |
|
DRM |
|
\(\mathtt{DRMP}\left(t\right)=\mathtt{TURMP}\left(t\right)\) |
| Extra Cost of Food Turnaround Gdollar/y |
ECFT |
CRA FCR |
|
ECFTSGDP |
|
\(\mathtt{ECFT}\left(t\right)=-\mathtt{FCR}\left(t\right)+\mathtt{CRA}\left(t\right)\) |
| Extra Cost of Food Turnaround as Share of GDP (1) |
ECFTSGDP |
ECFT GDP |
|
|
|
\(\mathtt{ECFTSGDP}\left(t\right)=\frac{\mathtt{ECFT}\left(t\right)}{\mathtt{GDP}\left(t\right)}\) |
| Extra CO2 Absorption in Reg Ag GtCO2/y |
ECO2ARA |
RAA |
CO2ARA |
CO2ELULUC |
|
\(\mathtt{E\mathtt{CO2ARA}}\left(t\right)=\frac{1}{1000}\cdot\mathtt{CO2ARA}\cdot\mathtt{RAA}\left(t\right)\) |
| Extra Cost of Reg Ag dollar/ha/y |
ECRA |
CIRA |
ECRA22 |
CRA |
|
\(\mathtt{ECRA}\left(t\right)=\mathtt{ECRA22}\cdot\mathtt{CIRA}\left(t\right)\) |
| Forest Absorption Multipler (1) |
FAM |
|
MFAM SSP2LMA |
CO2AFLH |
|
\(\mathtt{FAM}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),1+\mathtt{SSP2LMA}\cdot\mathtt{ramp}\left(t,\frac{1}{78}\cdot\left(-1+\mathtt{MFAM}\right),2000,2100\right),1\right)\) |
| Fertilizer Cost Reduction Gdollar/y |
FCR |
AFSRA RAA |
CTF |
ECFT |
|
\(\mathtt{FCR}\left(t\right)=\frac{1}{1000}\cdot\mathtt{CTF}\cdot\mathtt{AFSRA}\left(t\right)\cdot\mathtt{RAA}\left(t\right)\) |
| Fertilizer Effect on Erosion Rate (1) |
FEER |
FUCA |
FUELER SFU |
LER |
|
\(\mathtt{FEER}\left(t\right)=1+\mathtt{FUELER}\cdot\left(-1+\frac{\mathtt{FUCA}\left(t\right)}{\mathtt{SFU}}\right)\) |
| FEed for Red Meat Mt-crop/y |
FERM |
RMF |
KCKRM |
CRDE |
|
\(\mathtt{FERM}\left(t\right)=\mathtt{KCKRM}\cdot\mathtt{RMF}\left(t\right)\) |
| FErtilizer USe Mt/y |
FEUS |
FUCA CRLA FRA |
|
MMN2OE COFE FOFO FUP |
|
\(\mathtt{FEUS}\left(t\right)=\frac{1}{1000}\cdot\left(1-\mathtt{FRA}\left(t\right)\right)\cdot\mathtt{CRLA}\left(t\right)\cdot\mathtt{FUCA}\left(t\right)\) |
| Food Footprint Index (1980=1) |
FFI |
FOFO |
FF80 |
|
|
\(\mathtt{FFI}\left(t\right)=\frac{\mathtt{FOFO}\left(t\right)}{\mathtt{FF80}}\) |
| Fraction Forestry Land Remaining (1) |
FFLR |
FOLA |
|
ALFL FFLREOGRR |
|
\(\mathtt{FFLR}\left(t\right)=\mathtt{max}\left(0,0.00091\cdot\mathtt{FOLA}\left(t\right)\right)\) |
| FFLReoOGRR |
FFLREOGRR |
FFLR |
FFLREOGRRM TFFLR |
OGRR |
|
\(\mathtt{FFLREOGRR}\left(t\right)=\mathtt{max}\left(1,1+\mathtt{FFLREOGRRM}\cdot\left(-\mathtt{TFFLR}+\mathtt{FFLR}\left(t\right)\right)\right)\) |
| Fraction New Red Meat (1) |
FNRM |
IPP |
GFNRM |
DRM |
|
\(\mathtt{FNRM}\left(t\right)=\mathtt{ramp}\left(t,\frac{\mathtt{GFNRM}}{\mathtt{IPP}\left(t\right)},2000,2000+\mathtt{IPP}\left(t\right)\right)\) |
| FOod FOotprint |
FOFO |
CRLA FEUS |
|
FFI |
|
\(\mathtt{FOFO}\left(t\right)=\mathtt{CRLA}\left(t\right)\cdot\mathtt{FEUS}\left(t\right)\) |
| FOrestry LAnd Mha |
FOLA |
NFL CREX |
|
CO2AFL CREX FFLR TFA |
1100.0 |
\(\frac{\mathrm{d}\mathtt{FOLA}\left(t\right)}{\mathrm{d}t}=-\mathtt{CREX}\left(t\right)+\mathtt{NFL}\left(t\right)\) |
| Fertilizer Productivity Index (1980=1) |
FPI |
|
ROCFP |
FUCA |
|
\(\mathtt{FPI}\left(t\right)=e^{\mathtt{ROCFP}\cdot\left(-2000+t\right)}\) |
| Fraction Regenerative Agriculture (1) |
FRA |
IPP |
GFRA |
ACY CSRA DCYCA FEUS RAA |
|
\(\mathtt{FRA}\left(t\right)=\mathtt{ramp}\left(t,\frac{\mathtt{GFRA}}{\mathtt{IPP}\left(t\right)},2000,2000+\mathtt{IPP}\left(t\right)\right)\) |
| Food Sector Productivity Index (1980=1) |
FSPI |
|
EROCFSP ROCFSP |
TUCERM |
|
\(\mathtt{FSPI}\left(t\right)=e^{\mathtt{ROCFSP}\cdot\left(-2000+t\right)}\cdot\mathtt{ifelse}\left(\left(t>2000\right),e^{\mathtt{E\mathtt{ROCFSP}}\cdot\left(-2000+t\right)},1\right)\) |
| Fertilizer Use in Conv Ag kgN/ha/y |
FUCA |
TFUCA FPI |
|
FEER FEUS ROCSQCA |
|
\(\mathtt{FUCA}\left(t\right)=\frac{\mathtt{TFUCA}\left(t\right)}{\mathtt{FPI}\left(t\right)}\) |
| FErtilizer USe per Person kg/p/y |
FUP |
POP FEUS |
|
|
|
\(\mathtt{FUP}\left(t\right)=\frac{1000\cdot\mathtt{FEUS}\left(t\right)}{\mathtt{POP}\left(t\right)}\) |
| Grazing Land Yield kg-red-meat/ha/y |
GLY |
GLY80 |
|
PRMGL |
|
\(\mathtt{GLY}\left(t\right)=\mathtt{GLY80}\left(t\right)\) |
| Grazing Land Yied in 1980 kg-red-meat/ha/y |
GLY80 |
WELY CO2ELY |
|
GLY |
|
\(\mathtt{GLY80}\left(t\right)=14\cdot\mathtt{CO2ELY}\left(t\right)\cdot\mathtt{WELY}\left(t\right)\) |
| GRazing LAnd Mha |
GRLA |
NGL |
|
PRMGL |
3300.0 |
\(\frac{\mathrm{d}\mathtt{GRLA}\left(t\right)}{\mathrm{d}t}=\mathtt{NGL}\left(t\right)\) |
| Indicated Urban Land Mha |
IUL |
POP |
ULP |
UREX |
|
\(\mathtt{IUL}\left(t\right)=\mathtt{ULP}\cdot\mathtt{POP}\left(t\right)\) |
| Land Erosion Rate 1/y |
LER |
FEER LERM |
LER80 |
CRLO |
|
\(\mathtt{LER}\left(t\right)=\mathtt{LER80}\cdot\mathtt{FEER}\left(t\right)\cdot\mathtt{LERM}\left(t\right)\) |
| Land ERosion Multiplier (1) |
LERM |
|
SSP2LMA |
LER |
|
\(\mathtt{LERM}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),1-\mathtt{SSP2LMA}\cdot\mathtt{ramp}\left(t,0.013,2000,2100\right),1\right)\) |
| Loss of Forest Land Mha/y |
LFL |
OGRE CREX |
|
|
|
\(\mathtt{LFL}\left(t\right)=\mathtt{CREX}\left(t\right)+\mathtt{OGRE}\left(t\right)\) |
| LOss of CRopland Mha/y |
LOCR |
UREX CRLO |
|
|
|
\(\mathtt{LOCR}\left(t\right)=\mathtt{CRLO}\left(t\right)+\mathtt{UREX}\left(t\right)\) |
| Number of Doublings in Reg Ag (1) |
NDRA |
RAA |
EGB22 |
CIRA |
|
\(\mathtt{NDRA}\left(t\right)=1.4\cdot\log\left(\frac{\mathtt{EGB22}+\mathtt{RAA}\left(t\right)}{\mathtt{EGB22}}\right)\) |
| New Forestry Land Mha/y |
NFL |
OGRE |
FCG |
FOLA OGFA |
|
\(\mathtt{NFL}\left(t\right)=\left(1-\mathtt{FCG}\right)\cdot\mathtt{OGRE}\left(t\right)\) |
| New Grazing Land Mha/y |
NGL |
OGRE |
FCG |
GRLA OGFA |
|
\(\mathtt{NGL}\left(t\right)=\mathtt{FCG}\cdot\mathtt{OGRE}\left(t\right)\) |
| Old Growth Forest Area Mha 1 |
OGFA |
NGL NFL |
|
OGRE TFA |
2600.0 |
\(\frac{\mathrm{d}\mathtt{OGFA}\left(t\right)}{\mathrm{d}t}=-\mathtt{NFL}\left(t\right)-\mathtt{NGL}\left(t\right)\) |
| Old Growth Removal Mha/y |
OGRE |
OGRR OGRRM OGFA |
|
CO2RFC LFL NFL NGL |
|
\(\mathtt{OGRE}\left(t\right)=\mathtt{OGFA}\left(t\right)\cdot\mathtt{OGRR}\left(t\right)\cdot\mathtt{OGRRM}\left(t\right)\) |
| Old Growth Removal Rate 1/y |
OGRR |
FFLREOGRR |
OGRR80 |
OGRE |
|
\(\mathtt{OGRR}\left(t\right)=\mathtt{OGRR80}\cdot\mathtt{FFLREOGRR}\left(t\right)\) |
| Old Growth Removal Rate Multiplier (1) |
OGRRM |
|
SSP2LMA |
OGRE |
|
\(\mathtt{OGRRM}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),1-\mathtt{SSP2LMA}\cdot\mathtt{ramp}\left(t,0.013,2000,2100\right),1\right)\) |
| Perceived Crop Balance (1) |
PCB |
CRBA |
DRC |
CREXR |
|
\(\mathtt{PCB}\left(t\right)=\frac{\mathtt{CRBA}\left(t\right)}{1+\mathtt{DRC}}\) |
| Potential Red Meat from Grazing Land Mt-red-meat/y |
PRMGL |
GRLA GLY |
|
RMGL |
|
\(\mathtt{PRMGL}\left(t\right)=\frac{1}{1000}\cdot\mathtt{GLY}\left(t\right)\cdot\mathtt{GRLA}\left(t\right)\) |
| Regenerative Agriculture Area Mha |
RAA |
CRLA FRA |
|
CRA ECO2ARA FCR NDRA |
|
\(\mathtt{RAA}\left(t\right)=\mathtt{CRLA}\left(t\right)\cdot\mathtt{FRA}\left(t\right)\) |
| Red Meat from Feedlots Mt-red-meat/y |
RMF |
RMGL DRM |
|
FERM RMSP |
|
\(\mathtt{RMF}\left(t\right)=-\mathtt{RMGL}\left(t\right)+\mathtt{DRM}\left(t\right)\) |
| Red Meat from Grazing Land Mt-red-meat/y |
RMGL |
PRMGL DRM |
|
RMF RMSP TUFRM |
|
\(\mathtt{RMGL}\left(t\right)=\mathtt{min}\left(\mathtt{DRM}\left(t\right),\mathtt{PRMGL}\left(t\right)\right)\) |
| Red meat Supply per Person kg-red-meat/p/y |
RMSP |
RMGL POP CRBA RMF |
|
|
|
\(\mathtt{RMSP}\left(t\right)=\frac{1000\cdot\left(\mathtt{RMF}\left(t\right)\cdot\mathtt{min}\left(1,\mathtt{CRBA}\left(t\right)\right)+\mathtt{RMGL}\left(t\right)\right)}{\mathtt{POP}\left(t\right)}\) |
| ROC in Soil Quality in Conv Ag 1/y |
ROCSQCA |
FUCA |
FUESQ SFU |
CSQCA |
|
\(\mathtt{ROCSQCA}\left(t\right)=\mathtt{FUESQ}\cdot\left(-1+\frac{\mathtt{FUCA}\left(t\right)}{\mathtt{SFU}}\right)\) |
| Soil Quality Index in Conv Ag (1980=1) |
SQICA |
CSQCA |
|
ACY CSQCA |
1.0 |
\(\frac{\mathrm{d}\mathtt{SQICA}\left(t\right)}{\mathrm{d}t}=\mathtt{CSQCA}\left(t\right)\) |
| Total Forest Area Mha |
TFA |
FOLA OGFA |
|
|
|
\(\mathtt{TFA}\left(t\right)=\mathtt{FOLA}\left(t\right)+\mathtt{OGFA}\left(t\right)\) |
| Traditional Fertilizer Use in Conv Ag kgN/ha/y |
TFUCA |
DCYCA |
|
FUCA |
|
\(\mathtt{withlookup}(\mathtt{DCYCA}(t), [(1.0, 0.0), (2.0, 40.0), (2.5, 50.0), (3.0, 60.0), (3.5, 70.0), (4.5, 100.0), (6.5, 200.0), (10.0, 600.0)])\) |
| Traditional Use of Crops Mt/y |
TUC |
TUCP POP |
|
TUCERM |
|
\(\mathtt{TUC}\left(t\right)=\frac{1}{1000}\cdot\mathtt{POP}\left(t\right)\cdot\mathtt{TUCP}\left(t\right)\) |
| Traditional Use of Crops Ex Red Meat Mt/y |
TUCERM |
TUFRM FSPI TUC |
|
CRDE TUCERMP |
|
\(\mathtt{TUCERM}\left(t\right)=\frac{-\mathtt{TUFRM}\left(t\right)+\mathtt{TUC}\left(t\right)}{\mathtt{FSPI}\left(t\right)}\) |
| Traditional Use of Crops Ex Red Meat per Person kg-crop/p/y |
TUCERMP |
POP TUCERM |
|
|
|
\(\mathtt{TUCERMP}\left(t\right)=\frac{1000\cdot\mathtt{TUCERM}\left(t\right)}{\mathtt{POP}\left(t\right)}\) |
| Traditional Use of Crops per Person kg-crop/p/y |
TUCP |
GDPP |
|
TUC |
|
\(\mathtt{withlookup}(\mathtt{GDPP}(t), [(0.0, 400.0), (6.1, 680.0), (8.7, 780.0), (13.9, 950.0), (20.0, 1050.0), (30.0, 1150.0), (40.0, 1250.0), (60.0, 1350.0), (100.0, 1550.0)])\) |
| Traditional Use of Feed for Red Meat Mt-crop/y |
TUFRM |
RMGL TURMP POP |
KCKRM |
TUCERM |
|
\(\mathtt{TUFRM}\left(t\right)=\mathtt{KCKRM}\cdot\left(-\mathtt{RMGL}\left(t\right)+\frac{1}{1000}\cdot\mathtt{POP}\left(t\right)\cdot\mathtt{TURMP}\left(t\right)\right)\) |
| Traditional Use of Red Meat per Person kg-red-meat/p/y |
TURMP |
GDPP |
|
DRMP TUFRM |
|
\(\mathtt{withlookup}(\mathtt{GDPP}(t), [(0.0, 0.0), (6.1, 6.0), (8.8, 8.5), (14.0, 13.0), (30.0, 27.0), (40.0, 32.0), (50.0, 33.0), (100.0, 25.0)])\) |
| URban EXpansion Mha/y |
UREX |
URLA IUL |
UDT |
CRLA URLA LOCR |
|
\(\mathtt{UREX}\left(t\right)=\mathtt{max}\left(0,\frac{-\mathtt{URLA}\left(t\right)+\mathtt{IUL}\left(t\right)}{\mathtt{UDT}}\right)\) |
| URban LAnd Mha |
URLA |
UREX |
|
UREX |
215.0 |
\(\frac{\mathrm{d}\mathtt{URLA}\left(t\right)}{\mathrm{d}t}=\mathtt{UREX}\left(t\right)\) |
| Warming Effect on Land Yield (1) |
WELY |
OW |
OWEACY OW2022 |
ACY CO2AFL GLY80 |
|
\(\mathtt{WELY}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),1+\mathtt{OWEACY}\cdot\left(-1+\frac{\mathtt{OW}\left(t\right)}{\mathtt{OW2022}}\right),1\right)\) |