| AVailable CApital Gdollar/y |
AVCA |
TS |
FCI |
INCPIS |
|
\(\mathtt{AVCA}\left(t\right)=\mathtt{FCI}+\mathtt{TS}\left(t\right)\) |
| CAPacity Gcu |
CAP |
CPUS CPIS |
|
OPWO |
|
\(\mathtt{CAP}\left(t\right)=\mathtt{CPIS}\left(t\right)+\mathtt{CPUS}\left(t\right)\) |
| Capacity Addition PIS Gcu/y |
CAPIS |
CUCPIS |
CTPIS |
CPIS CUCPIS CRR |
|
\(\mathtt{CAPIS}\left(t\right)=\frac{\mathtt{CUCPIS}\left(t\right)}{\mathtt{CTPIS}}\) |
| Capacity Addition PUS Gcu/y |
CAPUS |
CUCPUS |
CTPUS |
CPUS CUCPUS |
|
\(\mathtt{CAPUS}\left(t\right)=\frac{\mathtt{CUCPUS}\left(t\right)}{\mathtt{CTPUS}}\) |
| CBC Effect on Flow to Capacity Addion (1) |
CBCEFCA |
CBC CBC1980 |
CBCEFRA |
FACNC |
|
\(\mathtt{CBCEFCA}\left(t\right)=1+\mathtt{CBCEFRA}\cdot\left(-1+\frac{\mathtt{CBC}\left(t\right)}{\mathtt{CBC1980}\left(t\right)}\right)\) |
| Capacity Discard PIS Gcu/y |
CDPIS |
LCPIS CPIS |
|
CPIS |
|
\(\mathtt{CDPIS}\left(t\right)=\frac{\mathtt{CPIS}\left(t\right)}{\mathtt{LCPIS}\left(t\right)}\) |
| Capacity Discard PUS Gcu/y |
CDPUS |
CPUS LCPUS |
|
CPUS |
|
\(\mathtt{CDPUS}\left(t\right)=\frac{\mathtt{CPUS}\left(t\right)}{\mathtt{LCPUS}\left(t\right)}\) |
| Capacity Initiation PIS Gcu/y |
CIPIS |
INCPIS GDP OBSGIPIS COCA |
|
CUCPIS |
|
\(\mathtt{CIPIS}\left(t\right)=\mathtt{max}\left(\frac{\mathtt{GDP}\left(t\right)\cdot\mathtt{OBSGIPIS}\left(t\right)+\mathtt{INCPIS}\left(t\right)}{\mathtt{COCA}\left(t\right)},0\right)\) |
| Capacity Initiation PUS Gcu/y |
CIPUS |
GIPC GDP OBSGIPUS COCA |
|
CUCPUS |
|
\(\mathtt{CIPUS}\left(t\right)=\mathtt{max}\left(\frac{\mathtt{GDP}\left(t\right)\cdot\mathtt{OBSGIPUS}\left(t\right)+\mathtt{GIPC}\left(t\right)}{\mathtt{COCA}\left(t\right)},0\right)\) |
| COst of CApacity dollar/cu |
COCA |
OWECC |
CC1980 |
CIPIS CIPUS |
|
\(\mathtt{COCA}\left(t\right)=\mathtt{CC1980}\cdot\mathtt{OWECC}\left(t\right)\) |
| Capacity PIS Gcu |
CPIS |
CDPIS CAPIS |
|
CDPIS CRR CAP ORO |
59250.0 |
\(\frac{\mathrm{d}\mathtt{CPIS}\left(t\right)}{\mathrm{d}t}=-\mathtt{CDPIS}\left(t\right)+\mathtt{CAPIS}\left(t\right)\) |
| Capacity PUS Gcu |
CPUS |
CDPUS CAPUS |
|
CDPUS CAP ORO IPR |
5350.0 |
\(\frac{\mathrm{d}\mathtt{CPUS}\left(t\right)}{\mathrm{d}t}=-\mathtt{CDPUS}\left(t\right)+\mathtt{CAPUS}\left(t\right)\) |
| Capacity Renewal Rate 1/y |
CRR |
CAPIS CPIS |
|
ECR |
|
\(\mathtt{CRR}\left(t\right)=\frac{\mathtt{CAPIS}\left(t\right)}{\mathtt{CPIS}\left(t\right)}\) |
| Capacity Under Construction PIS Gcu |
CUCPIS |
CAPIS CIPIS |
|
CAPIS |
10072.5 |
\(\frac{\mathrm{d}\mathtt{CUCPIS}\left(t\right)}{\mathrm{d}t}=-\mathtt{CAPIS}\left(t\right)+\mathtt{CIPIS}\left(t\right)\) |
| Capacity Under Construction PUS Gcu |
CUCPUS |
CIPUS CAPUS |
|
CAPUS |
909.5 |
\(\frac{\mathrm{d}\mathtt{CUCPUS}\left(t\right)}{\mathrm{d}t}=-\mathtt{CAPUS}\left(t\right)+\mathtt{CIPUS}\left(t\right)\) |
| CUC PUS in 1980 Gcu |
CUCPUS1980 |
LCPUS1980 |
EMCUC CAPPUS1980 CTPUS |
|
|
\(\mathtt{CUCPUS1980}\left(t\right)=\frac{\mathtt{CAPPUS1980}\cdot\mathtt{CTPUS}\cdot\mathtt{EMCUC}}{\mathtt{LCPUS1980}\left(t\right)}\) |
| Effect of Capacity Renewal 1/y |
ECR |
CRR ITFP ETFP |
|
ETFP |
|
\(\mathtt{ECR}\left(t\right)=\left(-\mathtt{ETFP}\left(t\right)+\mathtt{ITFP}\left(t\right)\right)\cdot\mathtt{CRR}\left(t\right)\) |
| Excess DEmand (1) |
EDE |
OOV TPP |
|
PEDE |
|
\(\mathtt{EDE}\left(t\right)=\frac{\mathtt{TPP}\left(t\right)}{\mathtt{OOV}\left(t\right)}\) |
| ED Effect on Flow to Capacity Addition (1) |
EDEFCA |
PEDE |
EDEFRA ED1980 |
FACNC |
|
\(\mathtt{EDEFCA}\left(t\right)=1+\mathtt{EDEFRA}\cdot\left(-1+\frac{\mathtt{PEDE}\left(t\right)}{\mathtt{ED1980}}\right)\) |
| Excess Demand Effect on Life of Capacity (1) |
EDELC |
PEDE |
EDELCM ED1980 |
LCPIS |
|
\(\mathtt{EDELC}\left(t\right)=1+\mathtt{EDELCM}\cdot\left(-1+\frac{\mathtt{PEDE}\left(t\right)}{\mathtt{ED1980}}\right)\) |
| Embedded TFP (1) |
ETFP |
ECR |
|
ECR ORO |
1.0 |
\(\frac{\mathrm{d}\mathtt{ETFP}\left(t\right)}{\mathrm{d}t}=\mathtt{ECR}\left(t\right)\) |
| Fraction of Available Capital to New Capacity (1) |
FACNC |
EDEFCA CBCEFCA FRACAMGDPPL FACNC WSOEFCA |
FRA1980 IPT |
FACNC INCPIS |
1.0515 |
\(\frac{\mathrm{d}\mathtt{FACNC}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{FACNC}\left(t\right)+\frac{1}{3}\cdot\mathtt{FRA1980}\cdot\left(\mathtt{CBCEFCA}\left(t\right)+\mathtt{EDEFCA}\left(t\right)+\mathtt{WSOEFCA}\left(t\right)\right)\cdot\mathtt{FRACAMGDPPL}\left(t\right)}{\mathtt{IPT}}\) |
| FRACA Mult from GDPpP - Line (1) |
FRACAMGDPPL |
GDPP |
GDPP1980 FRACAM GDPPEFRACA |
FACNC |
|
\(\mathtt{\mathtt{FRACAM}GDPPL}\left(t\right)=\mathtt{max}\left(\mathtt{FRACAM},1+\mathtt{GDPPEFRACA}\cdot\left(-1+\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\right)\) |
| FRACA Mult from GDPpP - Table (1) |
FRACAMGDPPT |
GDPP |
GDPP1980 |
|
|
\(\mathtt{FRACAMGDPPT}\left(t\right)=\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\geq0\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}<1\right)+0.5\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\geq16\right)+\left(0.85-0.1\cdot\left(-2+\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\geq2\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}<2.1\right)+\left(0.55-0.0063\cdot\left(-8+\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\geq8\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}<16\right)+\left(0.65-0.025\cdot\left(-4+\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\geq4\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}<8\right)+\left(1-0.15\cdot\left(-1+\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\geq1\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}<2\right)+\left(0.84-0.1\cdot\left(-2.1+\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\geq2.1\right)\cdot\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}<4\right)+\left(\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}<0\right)\) |
| Investment in New Capacity PIS Gdollar/y |
INCPIS |
AVCA FACNC |
|
CIPIS ISGDP |
|
\(\mathtt{INCPIS}\left(t\right)=\mathtt{AVCA}\left(t\right)\cdot\mathtt{FACNC}\left(t\right)\) |
| Investment Share of GDP (1) |
ISGDP |
GIPC INCPIS GDP |
|
|
|
\(\mathtt{ISGDP}\left(t\right)=\frac{\mathtt{GIPC}\left(t\right)+\mathtt{INCPIS}\left(t\right)}{\mathtt{GDP}\left(t\right)}\) |
| Life of Capacity PIS y |
LCPIS |
EDELC OWELC |
LCPIS1980 |
CDPIS |
|
\(\mathtt{LCPIS}\left(t\right)=\frac{\mathtt{LCPIS1980}\cdot\mathtt{OWELC}\left(t\right)}{\mathtt{EDELC}\left(t\right)}\) |
| Life of Capacity PUS y |
LCPUS |
LCPUS1980 |
|
CDPUS |
|
\(\mathtt{LCPUS}\left(t\right)=\mathtt{LCPUS1980}\left(t\right)\) |
| Life of Capacity PUS in 1980 y |
LCPUS1980 |
OWELC |
|
CUCPUS1980 LCPUS |
|
\(\mathtt{LCPUS1980}\left(t\right)=15\cdot\mathtt{OWELC}\left(t\right)\) |
| Off-Balance Sheet Govmnt Inv in PIS (share of GDP) |
OBSGIPIS |
|
USPIS2022 |
CIPIS |
|
\(\mathtt{OBSGIPIS}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),\mathtt{USPIS2022},0\right)\) |
| Off-Balance-Sheet Govmnt Inv in PUS (share of GDP) |
OBSGIPUS |
|
USPUS2022 |
CIPUS |
|
\(\mathtt{OBSGIPUS}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),0.01+\mathtt{USPUS2022},0.01\right)\) |
| Output Growth Rate 1/y |
OGR |
OLY ORO OGR |
|
NCCR OGR |
0.06 |
\(\frac{\mathrm{d}\mathtt{OGR}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{OLY}\left(t\right)+\mathtt{ORO}\left(t\right)}{\mathtt{OLY}\left(t\right)}-\mathtt{OGR}\left(t\right)\) |
| Output Last Year Gdollar/y |
OLY |
OLY ORO |
|
OGR OLY |
26497.1 |
\(\frac{\mathrm{d}\mathtt{OLY}\left(t\right)}{\mathrm{d}t}=-\mathtt{OLY}\left(t\right)+\mathtt{ORO}\left(t\right)\) |
| Optimal Ouput - Value Gdollar/y |
OOV |
ORO |
PRUN |
EDE |
|
\(\mathtt{OOV}\left(t\right)=\mathtt{PRUN}\cdot\mathtt{ORO}\left(t\right)\) |
| Optimal Real Output Gu/y |
ORO |
CPUS LAUS CPIS ETFP |
OO1980 LAMBDA LAUS1980 KAPPA CAPPUS1980 CAPPIS1980 |
OUTP OGR OLY OOV |
|
\(\mathtt{ORO}\left(t\right)=\left(\frac{\mathtt{LAUS}\left(t\right)}{\mathtt{LAUS1980}}\right)^{\mathtt{LAMBDA}}\cdot\left(\frac{\mathtt{CPIS}\left(t\right)+\mathtt{CPUS}\left(t\right)}{\mathtt{CAPPIS1980}+\mathtt{CAPPUS1980}}\right)^{\mathtt{KAPPA}}\cdot\mathtt{OO1980}\cdot\mathtt{ETFP}\left(t\right)\) |
| OWeoCOC (1) |
OWECC |
OW |
OWECCM OW2022 |
COCA |
|
\(\mathtt{OWECC}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),1+\mathtt{OWECCM}\cdot\left(-1+\frac{\mathtt{OW}\left(t\right)}{\mathtt{OW2022}}\right),1\right)\) |
| OWeoLOC (1) |
OWELC |
OW |
OWELCM OW2022 |
LCPUS1980 LCPIS |
|
\(\mathtt{OWELC}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),1+\mathtt{OWELCM}\cdot\left(-1+\frac{\mathtt{OW}\left(t\right)}{\mathtt{OW2022}}\right),1\right)\) |
| Perceived Excess DEmand (1) |
PEDE |
EDE PEDE |
TOED |
PEDE EDEFCA EDELC |
1.0 |
\(\frac{\mathrm{d}\mathtt{PEDE}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{PEDE}\left(t\right)+\mathtt{EDE}\left(t\right)}{\mathtt{TOED}}\) |
| WSO Effect on Flow to Capacity Addition (1) |
WSOEFCA |
WASH |
WSOEFRA |
FACNC |
|
\(\mathtt{WSOEFCA}\left(t\right)=1+\mathtt{WSOEFRA}\cdot\left(-1+2\cdot\mathtt{WASH}\left(t\right)\right)\) |