The PUBLIC sector

The variables

Vensim name	Name	Used variables	Used parameters	Variables using it	Initial value	Equation
Change in TFP 1/y	`CTFP`	`RTA` `TFPEE5TA`		`TFPEE5TA`		$CTFP (t) = RTA (t) \cdot TFPEE 5 TA (t)$
Domestic Rate of Technological Advance 1/y	`DRTA`	`SC`	`SCROTA` `SC1980` `DROTA1980` `EDROTA2022`	`RTA`		$DRTA (t) = DROTA 1980 + (1 + SCROTA \cdot (- 1 + \frac{SC (t)}{SC 1980})) \cdot ifelse ((t > 2000), EDROTA 2022, 0)$
Extra Cost of TAs From 2022 GDollar/y	`ECTAF2022`	`CTA`	`CTA2022`	`ETTAF2022` `ECTAGDP`		$ECTAF 2022 (t) = \max (0, - CTA 2022 + CTA (t))$
Extra Cost of TAs as share of GDP (1)	`ECTAGDP`	`ECTAF2022` `GDP`		`PLUA`		$ECTAGDP (t) = \frac{ECTAF 2022 (t)}{GDP (t)}$
Govmnt Spending as Share of GDP	`GSSGDP`	`GDP` `GS`				$GSSGDP (t) = \frac{GS (t)}{GDP (t)}$
Infrastructure Purchases Ratio y	`IPR`	`CPUS` `GPU`		`PPP`		$IPR (t) = \frac{CPUS (t)}{GPU (t)}$
Imported ROTA 1/y	`IROTA`	`GDPP`	`GDPTL` `MIROTA2022`	`RTA`		$IROTA (t) = ifelse ((t > 2000), \max (0, MIROTA 2022 \cdot (2 + \frac{- GDPP (t)}{GDPTL})), 0)$
Indicated TFP (1)	`ITFP`	`OWTFP` `TFPEE5TA`		`ECR`		$ITFP (t) = OWTFP (t) \cdot TFPEE 5 TA (t)$
OWeoTFP	`OWTFP`	`OW`	`OWETFP` `OW2022`	`ITFP`		$OWTFP (t) = ifelse ((t > 2000), 1 + OWETFP \cdot (- 1 + \frac{OW (t)}{OW 2022}), 1)$
Productivity Loss from Unprofitable Activity (1)	`PLUA`	`ECTAGDP`	`FUATA`	`RTFPUA`		$PLUA (t) = FUATA \cdot ECTAGDP (t)$
Productivity of Public Purchases (1)	`PPP`	`IPR`	`IPRVPSS` `IPR1980`	`VPSS`		$PPP (t) = \max (0, 1 + IPRVPSS \cdot \log (\frac{IPR (t)}{IPR 1980}))$
Public SErvices per Person kdollar/p/y	`PSEP`	`POP` `VPSS`				$PSEP (t) = \frac{VPSS (t)}{POP (t)}$
Public Spending per Person kDollar/p/y	`PSP`	`POP` `GS`		`AWBPS` `PSSGDP`		$PSP (t) = \frac{GS (t)}{POP (t)}$
Reduction in ROTA from Inequality 1/y	`RROTAI`	`INEQI`	`IIEEROTA`	`RTA`		$RROTAI (t) = \min (1, 1 + IIEEROTA \cdot (- 1 + INEQI (t)))$
Rate of Technological Advance 1/y	`RTA`	`DRTA` `IROTA` `RROTAI`		`CTFP`		$RTA (t) = DRTA (t) \cdot RROTAI (t) + IROTA (t)$
Reduction in TFP from Unprofitable Activity (1)	`RTFPUA`	`RTFPUA` `PLUA`	`CTPIS` `IPT`	`RTFPUA` `TFPIE5TA`	0.0	$\frac{d RTFPUA (t)}{d t} = \frac{- RTFPUA (t) + PLUA (t)}{CTPIS + IPT}$
State Capacity (fraction of GDP)	`SC`	`GDP` `VPSS`		`DRTA`		$SC (t) = \frac{VPSS (t)}{GDP (t)}$
TFP Excluding Effect of 5TAs (1)	`TFPEE5TA`	`CTFP`		`CTFP` `ITFP` `TFPIE5TA`	1.0	$\frac{d TFPEE 5 TA (t)}{d t} = CTFP (t)$
TFP Including Effect of 5TAs (1)	`TFPIE5TA`	`RTFPUA` `TFPEE5TA`				$TFPIE 5 TA (t) = (1 - RTFPUA (t)) \cdot TFPEE 5 TA (t)$
Value of Public Services Supplied GDollar/y	`VPSS`	`PPP` `GPU`		`PSEP` `SC`		$VPSS (t) = GPU (t) \cdot PPP (t)$

The parameters

Vensim name	Name	Is used by	Value
Cost of TAs in 2022 GDollar/y	`CTA2022`	`ECTAF2022`	9145.0
Construction time PIS y	`CTPIS`	`RTFPUA`	1.5
Domestic ROTA in 1980 1/y	`DROTA1980`	`DRTA`	0.01
Extra Domestic ROTA in 2022 1/y	`EDROTA2022`	`DRTA`	0.003
Fraction Unprofitable Activity in TAs	`FUATA`	`PLUA`	0.3
GDPpp of Technology Leader kDollar/p/k	`GDPTL`	`IROTA`	15.0
sIIEeoROTA<0: Inequality Index Effect on ROTA	`IIEEROTA`	`RROTAI`	-0.1
Infrastructure Purchases Ratio in 1980 y	`IPR1980`	`PPP`	1.2
sIPReoVPSS>0: Infrastructure Purchase Ratio effect on Value of Pubblic Services Supplied	`IPRVPSS`	`PPP`	1.0
Investment planning time y	`IPT`	`RTFPUA`	1.0
Max Imported ROTA from 2022 1/y	`MIROTA2022`	`IROTA`	0.0
Observed Warming in 2022 deg C	`OW2022`	`OWTFP`	1.35
sOWeoTFP<0: Observed Warming Effect on Total Factor Productivity	`OWETFP`	`OWTFP`	-0.1
State Capacity in 1980 (fraction of GDP)	`SC1980`	`DRTA`	0.3
sSCeoROTA>0: State Capacity effect on Rate Of Technological Advance	`SCROTA`	`DRTA`	0.5