| Average Gross Income per Worker kdollar/p/y |
AGIW |
WARA AHW |
|
|
|
\(\mathtt{AGIW}\left(t\right)=\mathtt{AHW}\left(t\right)\cdot\mathtt{WARA}\left(t\right)\) |
| Average Hours Worked kh/y |
AHW |
NHW |
PFTJ |
AGIW LAUS |
|
\(\mathtt{AHW}\left(t\right)=\frac{\mathtt{NHW}\left(t\right)}{\mathtt{PFTJ}}\) |
| Average Hours Worked in 1980 kh/y |
AHW1980 |
|
PFTJ80 |
LAUS80 |
|
\(\mathtt{AHW1980}\left(t\right)=\frac{2}{\mathtt{PFTJ80}}\) |
| AVailable WOrkforce Mp |
AVWO |
LPR WAP |
|
UNEM UR |
|
\(\mathtt{AVWO}\left(t\right)=\mathtt{LPR}\left(t\right)\cdot\mathtt{WAP}\left(t\right)\) |
| Change in Embedded CLR kcu/ftj/y |
CECLR |
ECLR ROCECLR |
|
ECLR |
|
\(\mathtt{CECLR}\left(t\right)=\mathtt{ECLR}\left(t\right)\cdot\mathtt{ROCECLR}\left(t\right)\) |
| CHange in WOrkforce Mp/y |
CHWO |
WF HFD OPWO |
|
WF |
|
\(\mathtt{CHWO}\left(t\right)=\frac{-\mathtt{WF}\left(t\right)+\mathtt{OPWO}\left(t\right)}{\mathtt{HFD}\left(t\right)}\) |
| Change in Wage RAte dollar/ph/y |
CWRA |
ROCWSO WARA |
|
WARA |
|
\(\mathtt{CWRA}\left(t\right)=\mathtt{ROCWSO}\left(t\right)\cdot\mathtt{WARA}\left(t\right)\) |
| Change in WSO 1/y |
CWSO |
ROCWSO WSO |
|
WSO |
|
\(\mathtt{CWSO}\left(t\right)=\mathtt{ROCWSO}\left(t\right)\cdot\mathtt{WSO}\left(t\right)\) |
| Embedded CLR kcu/ftj |
ECLR |
CECLR |
|
CECLR OCLR |
41.0 |
\(\frac{\mathrm{d}\mathtt{ECLR}\left(t\right)}{\mathrm{d}t}=\mathtt{CECLR}\left(t\right)\) |
| Extra Normal LPR from 2022 (1) |
ENLPR2022 |
IPP |
GENLPR |
NLPR |
|
\(\mathtt{ENLPR2022}\left(t\right)=\mathtt{ramp}\left(t,\frac{\mathtt{GENLPR}}{\mathtt{IPP}\left(t\right)},2000,2000+\mathtt{IPP}\left(t\right)\right)\) |
| GDPppeoROCCLR |
GDPPEROCCLR |
GDPP |
GDPPEROCCLRM GDPP1980 |
ROCECLR |
|
\(\mathtt{GDPPEROCCLR}\left(t\right)=\mathtt{max}\left(0,1+\mathtt{GDPPEROCCLRM}\cdot\left(-1+\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\right)\) |
| Hiring/Firing Delay y |
HFD |
|
TYLD |
CHWO |
|
\(\mathtt{HFD}\left(t\right)=\frac{1}{3}\cdot\mathtt{TYLD}\) |
| Hours Worked Mult from GDPpP (1) |
HWMGDPP |
GDPP |
TENHW GDPP1980 |
NHW |
|
\(\mathtt{HWMGDPP}\left(t\right)=1+\mathtt{TENHW}\cdot\left(-1+\frac{\mathtt{GDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\) |
| Indicated Labour Participation Rate (1) |
ILPR |
NLPR PSW |
|
LPR |
|
\(\mathtt{ILPR}\left(t\right)=-\mathtt{PSW}\left(t\right)+\mathtt{NLPR}\left(t\right)\) |
| Indicated Wage Effect on Optimal CLR (1) |
IWEOCLR |
WSO |
WSOECLR |
WEOCLR |
|
\(\mathtt{IWEOCLR}\left(t\right)=1+\mathtt{WSOECLR}\cdot\left(-1+2\cdot\mathtt{WSO}\left(t\right)\right)\) |
| LAbour PRoductivity dollar/ph |
LAPR |
OUTP LAUS |
PRUN |
WASH |
|
\(\mathtt{LAPR}\left(t\right)=\frac{\mathtt{PRUN}\cdot\mathtt{OUTP}\left(t\right)}{\mathtt{LAUS}\left(t\right)}\) |
| LAbour USe Gph/y |
LAUS |
WF AHW |
|
LAPR ORO |
3060.0 |
\(\mathtt{LAUS}\left(t\right)=\mathtt{AHW}\left(t\right)\cdot\mathtt{WF}\left(t\right)\) |
| LAbour USe in 1980 Gph/y |
LAUS80 |
AHW1980 |
|
|
|
\(\mathtt{LAUS80}\left(t\right)=1500\cdot\mathtt{AHW1980}\left(t\right)\) |
| Labour Participation Rate (1) |
LPR |
LPR ILPR |
TELLM |
LPR AVWO PART WBEP |
0.8 |
\(\frac{\mathrm{d}\mathtt{LPR}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{LPR}\left(t\right)+\mathtt{ILPR}\left(t\right)}{\mathtt{TELLM}}\) |
| Long-Term Erosion of WSO 1/y |
LTEWSO |
WSO |
RWER |
WSO |
|
\(\mathtt{LTEWSO}\left(t\right)=\mathtt{RWER}\cdot\mathtt{WSO}\left(t\right)\) |
| Normal Hours Worked kh/ftj/y |
NHW |
HWMGDPP NHW |
TAHW |
NHW AHW |
2.0 |
\(\frac{\mathrm{d}\mathtt{NHW}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{NHW}\left(t\right)+2\cdot\mathtt{HWMGDPP}\left(t\right)}{\mathtt{TAHW}}\) |
| Normal LPR (1) |
NLPR |
ENLPR2022 WSO |
NLPR80 WSOELPR |
ILPR |
|
\(\mathtt{NLPR}\left(t\right)=\mathtt{NLPR80}\cdot\left(1+\mathtt{WSOELPR}\cdot\left(-1+2\cdot\mathtt{WSO}\left(t\right)\right)\right)+\mathtt{ENLPR2022}\left(t\right)\) |
| Optimal Capital Labour Ratio kcu/ftj |
OCLR |
WEOCLR ECLR |
|
OPWO |
|
\(\mathtt{OCLR}\left(t\right)=\mathtt{ECLR}\left(t\right)\cdot\mathtt{WEOCLR}\left(t\right)\) |
| OPtimal WOrkforce Mp |
OPWO |
CAP OCLR |
PFTJ |
CHWO |
|
\(\mathtt{OPWO}\left(t\right)=\frac{\mathtt{PFTJ}\cdot\mathtt{CAP}\left(t\right)}{\mathtt{OCLR}\left(t\right)}\) |
| Participation (1) |
PART |
PURA LPR |
|
|
|
\(\mathtt{PART}\left(t\right)=\left(1-\mathtt{PURA}\left(t\right)\right)\cdot\mathtt{LPR}\left(t\right)\) |
| Perceived Surplus Workforce (1) |
PSW |
PURA |
PUELPR AUR |
ILPR |
|
\(\mathtt{PSW}\left(t\right)=\mathtt{AUR}\cdot\left(1+\mathtt{PUELPR}\cdot\left(-1+\frac{\mathtt{PURA}\left(t\right)}{\mathtt{AUR}}\right)\right)\) |
| Perceived Unemployment RAte (1) |
PURA |
PURA UPT UR |
|
PURA PART PSW ROCWSO |
0.05 |
\(\frac{\mathrm{d}\mathtt{PURA}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{PURA}\left(t\right)+\mathtt{UR}\left(t\right)}{\mathtt{UPT}\left(t\right)}\) |
| ROC in ECLR 1/y |
ROCECLR |
GDPPEROCCLR |
ROCECLR80 |
CECLR |
|
\(\mathtt{ROCECLR}\left(t\right)=\mathtt{ROCECLR80}\cdot\mathtt{GDPPEROCCLR}\left(t\right)\) |
| ROC in WSO - Table 1/y |
ROCWSO |
PURA |
AUR |
CWSO CWRA |
|
\(\mathtt{withlookup}\left(\frac{\mathtt{PURA}(t)}{\mathtt{AUR}(t)}, [(0.0, 0.06), (0.5, 0.02), (1.0, 0.0), (1.5, -0.007), (2.0, -0.01)]\right)\) |
| Time to Change Tooling y |
TCT |
|
TYLD |
WEOCLR |
|
\(\mathtt{TCT}\left(t\right)=\frac{1}{3}\cdot\mathtt{TYLD}\) |
| UNEMployed Mp |
UNEM |
WF AVWO |
|
UR |
|
\(\mathtt{UNEM}\left(t\right)=\mathtt{max}\left(0,-\mathtt{WF}\left(t\right)+\mathtt{AVWO}\left(t\right)\right)\) |
| Unemployment perception time y |
UPT |
|
TYLD |
PURA |
|
\(\mathtt{UPT}\left(t\right)=\frac{1}{3}\cdot\mathtt{TYLD}\) |
| UNemployment RAte (1) |
UR |
AVWO UNEM |
|
PU PURA |
|
\(\mathtt{UR}\left(t\right)=\frac{\mathtt{UNEM}\left(t\right)}{\mathtt{AVWO}\left(t\right)}\) |
| Working Age Population Mp |
WAP |
A20PA |
|
AVWO |
|
\(\mathtt{WAP}\left(t\right)=\mathtt{A20PA}\left(t\right)\) |
| WAge RAte dollar/ph |
WARA |
WRE CWRA |
|
AGIW CWRA WASH WRE |
3.6715 |
\(\frac{\mathrm{d}\mathtt{WARA}\left(t\right)}{\mathrm{d}t}=-\mathtt{WRE}\left(t\right)+\mathtt{CWRA}\left(t\right)\) |
| WAge Share (1) |
WASH |
LAPR WARA |
|
WSOEFCA |
|
\(\mathtt{WASH}\left(t\right)=\frac{\mathtt{WARA}\left(t\right)}{\mathtt{LAPR}\left(t\right)}\) |
| Wage Effect on Optimal CLR (1) |
WEOCLR |
WEOCLR IWEOCLR TCT |
|
WEOCLR OCLR |
1.0 |
\(\frac{\mathrm{d}\mathtt{WEOCLR}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{WEOCLR}\left(t\right)+\mathtt{IWEOCLR}\left(t\right)}{\mathtt{TCT}\left(t\right)}\) |
| WorkForce Mp |
WF |
CHWO |
|
WDI CHWO LAUS UNEM |
1530.0 |
\(\frac{\mathrm{d}\mathtt{WF}\left(t\right)}{\mathrm{d}t}=\mathtt{CHWO}\left(t\right)\) |
| Wage Rate Erosion dollar/ph/y |
WRE |
WRER WARA |
|
WARA |
|
\(\mathtt{WRE}\left(t\right)=\mathtt{WARA}\left(t\right)\cdot\mathtt{WRER}\left(t\right)\) |
| Wage Rate Erosion Rate 1/y |
WRER |
IR |
FIC |
WRE |
|
\(\mathtt{WRER}\left(t\right)=\left(1-\mathtt{FIC}\right)\cdot\mathtt{IR}\left(t\right)\) |
| Worker Share of Output (1) |
WSO |
LTEWSO CWSO |
|
ITO ITW OI WI CWSO IWEOCLR LTEWSO NLPR |
0.5 |
\(\frac{\mathrm{d}\mathtt{WSO}\left(t\right)}{\mathrm{d}t}=-\mathtt{LTEWSO}\left(t\right)+\mathtt{CWSO}\left(t\right)\) |