KGEMM Behavioral Equations and Identities

Abstract

This chapter reports the estimated long-run equations and identities in Sects. 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, and 7.9 while the estimated short-run equations, i.e., final ECM specifications associated with the long-run equations are reported in Appendix B to save space in the main text. Note that the long-run and ECM equations are estimated till 2019 in the fifth version of KGEMM. Starting years of the estimations range from the 1970s to the 1990s dictated by the data availability. For the readers ease, we describe one of the long-run equations below and the rest equations here follow the same context. As an example, we select the first appeared long-run equation, i.e., Eq. (7.43).

This chapter reports the estimated long-run equations and identities in Sects. 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, and 7.9 while the estimated short-run equations, i.e., final ECM specifications associated with the long-run equations are reported in Appendix B to save space in the main text.¹ Note that the long-run and ECM equations are estimated till 2019 in the fifth version of KGEMM. Starting years of the estimations range from the 1970s to the 1990s dictated by the data availability. For the readers ease, we describe one of the long-run equations below and the rest equations here follow the same context. As an example, we select the first appeared long-run equation, i.e., Eq. (7.43).

$$ \mathrm{LOG}\left(\mathrm{IFDIS}\right)={1.00}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVADIS}\right)-{0.03}^{\ast }\ \mathrm{RRLEND}1-2.33+\mathrm{ECT}\_\mathrm{IFDIS} $$

Where LOG indicates the natural logarithmic transformation of a given variable. IFDIS, GVADIS, RRLEND1 are the variables (see Appendix B for the definitions and notations of the variables). ECT_IFDIS is the residuals of the long-run equation of the retail, wholesale, hotels, and catering sector’s investment, i.e., equilibrium correction term. In general, ECT_X denotes the equilibrium correction term for the variable X (Its one period lagged series enters the short run, i.e., ECM equation of the variable X as reported in Appendix B).

The long-run equation shows that private investment in the retail, wholesale, hotels, and catering sector (IFDIS) increases by 1% when the sector’s output (GVADIS) increases by 1%, while it decreases by 3% if the real lending rate (RRLEND1) rises by 1 percentage point, holding other factors constant. A detailed discussion of this and other estimated long- and short-run equations of investments for economic activity sectors can be found in Javid et al. (2022).

To save space, we do not report the significance levels of the estimated coefficients as well as pre-estimation (e.g., unit root and cointegration) and post-estimation (e.g., diagnostics, stability) test results for the long- and short-run equations because they number 192. They are available from the authors on request. Note, however, that all the estimated coefficients (reported below in the tables and in Appendix B) are statistically significant and the cointegration tests indicate long-run relationships among the variables at different conventional significance levels.

7.1 Real Block Equations and Identities (Demand-Side and Supply-Side)

7.1.1 Demand-Side

7.1.1.1 Identities for Intermediate, Final and Total Demand by Economic Activity Sector

7.1.1.1.1 Intermediate Demand

$$ \mathrm{IDAGR}={\displaystyle \begin{array}{l}\mathrm{A}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{A}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{A}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{A}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{A}{5}^{\ast }\ \mathrm{GVAU}+\mathrm{A}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{A}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{A}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{A}{9}^{\ast }\ \mathrm{GVAAGR}+\mathrm{A}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{A}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{A}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDAGR}\end{array}} $$

(7.1)

$$ \mathrm{IDCON}={\displaystyle \begin{array}{l}\mathrm{B}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{B}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{B}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{B}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{B}{5}^{\ast}\mathrm{GVAU}+\mathrm{B}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{B}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{B}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{B}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{B}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{B}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{B}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDCON}\end{array}} $$

(7.2)

$$ \mathrm{IDDIS}={\displaystyle \begin{array}{l}\mathrm{C}{1}^{\ast}\mathrm{GVAOIL}+\mathrm{C}{2}^{\ast}\mathrm{GVAMINOTH}+\mathrm{C}{3}^{\ast}\mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{C}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{C}{5}^{\ast}\mathrm{GVAU}+\mathrm{C}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{C}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{C}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{C}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{C}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{C}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{C}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDDIS}\end{array}} $$

(7.3)

$$ \mathrm{IDFIBU}={\displaystyle \begin{array}{l}\mathrm{D}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{D}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{D}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{D}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{D}5\ast \mathrm{GVAU}+\mathrm{D}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{D}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{D}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{D}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{D}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{D}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{D}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{D}\mathrm{IS}\_\mathrm{IDFIBU}\end{array}} $$

(7.4)

$$ \mathrm{IDGOV}={\displaystyle \begin{array}{l}\mathrm{E}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{E}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{E}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{E}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{E}{5}^{\ast}\mathrm{GVAU}+\mathrm{E}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{E}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{E}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{E}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{E}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{E}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{E}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDGOV}\end{array}} $$

(7.5)

$$ \mathrm{IDMANNOLPC}={\displaystyle \begin{array}{l}\mathrm{F}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{F}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{F}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\mathrm{F}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{F}{5}^{\ast }\ \mathrm{GVAU}+\mathrm{F}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{F}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{F}{8}^{\ast}\left(\mathrm{GVATRACO}\kern0.50em \mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{F}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{F}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{F}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{F}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDMANNOLPC}\end{array}} $$

(7.6)

$$ \mathrm{IDMINOTH}={\displaystyle \begin{array}{l}\mathrm{G}{1}^{\ast }\ \mathrm{G}\mathrm{VAOIL}+\mathrm{G}{2}^{\ast }\ \mathrm{G}\mathrm{VAMINOTH}+\mathrm{G}{3}^{\ast }\ \mathrm{G}\mathrm{VAPETCH}\\ {}+\kern2px \mathrm{G}{4}^{\ast }\ \mathrm{G}\mathrm{VAMANNOLPC}+\mathrm{G}{5}^{\ast }\ \mathrm{G}\mathrm{VAU}+\mathrm{G}{6}^{\ast }\ \mathrm{G}\mathrm{VACON}\\ {}+\kern2px \mathrm{G}{7}^{\ast }\ \mathrm{G}\mathrm{VADIS}+\mathrm{G}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{G}{9}^{\ast}\mathrm{G}\mathrm{VAAGR}+\mathrm{G}{10}^{\ast }\ \mathrm{G}\mathrm{VAFIBU}+\mathrm{G}{11}^{\ast }\ \mathrm{G}\mathrm{VAGOV}\\ {}+\kern2px \mathrm{G}{12}^{\ast }\ \mathrm{G}\mathrm{VAOTHS}+\mathrm{DIS}\_\mathrm{IDMINOTH}\end{array}} $$

(7.7)

$$ \mathrm{IDOIL}={\displaystyle \begin{array}{l}\mathrm{H}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{H}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{H}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{H}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{H}{5}^{\ast}\mathrm{GVAU}+\mathrm{H}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{H}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{H}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{H}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{H}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{H}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{H}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDOIL}\end{array}} $$

(7.8)

$$ \mathrm{IDOILREF}={\displaystyle \begin{array}{l}\mathrm{I}{1}^{\ast }\ \mathrm{GVAAGR}+\mathrm{I}{2}^{\ast }\ \mathrm{GVACON}+\mathrm{I}{3}^{\ast }\ \mathrm{GVADIS}\\ {}+\kern2px \mathrm{I}{4}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{I}{5}^{\ast }\ \mathrm{GVAFIBU}\mathrm{OTH}+\mathrm{I}{6}^{\ast }\ \mathrm{GVAREAL}\\ {}+\kern2px \mathrm{I}{7}^{\ast }\ \mathrm{GVAMANNO}+\mathrm{I}{8}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{I}{9}^{\ast }\ \mathrm{GVAOILMIN}\\ {}+\kern2px \mathrm{I}{10}^{\ast }\ \mathrm{GVAOILREF}+\mathrm{I}{11}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{I}{12}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{I}{13}^{\ast }\ \mathrm{GVATRACOM}+\mathrm{I}{14}^{\ast }\ \mathrm{GVAU}\end{array}} $$

(7.9)

$$ \mathrm{IDOTHS}={\displaystyle \begin{array}{l}\mathrm{J}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{J}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{J}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{J}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{J}{5}^{\ast}\mathrm{GVAU}+\mathrm{J}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{J}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{J}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{J}{9}^{\ast }\ \mathrm{GVAAGR}+\mathrm{J}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{J}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{J}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDOTHS}\end{array}} $$

(7.10)

$$ \mathrm{IDPETCH}={\displaystyle \begin{array}{l}\mathrm{K}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{K}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{K}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{K}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{K}{5}^{\ast }\ \mathrm{GVAU}+\mathrm{K}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{K}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{K}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{K}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{K}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{K}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{K}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDPETCH}\end{array}} $$

(7.11)

$$ \mathrm{IDTRACOM}={\displaystyle \begin{array}{l}\mathrm{L}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{L}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{L}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{L}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{L}{5}^{\ast }\ \mathrm{GVAU}+\mathrm{L}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{L}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{L}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{L}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{L}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{L}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{L}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDTRACOM}\end{array}} $$

(7.12)

$$ \mathrm{IDU}={\displaystyle \begin{array}{l}\mathrm{M}{1}^{\ast }\ \mathrm{GVAOIL}+\mathrm{M}{2}^{\ast }\ \mathrm{GVAMINOTH}+\mathrm{M}{3}^{\ast }\ \mathrm{GVAPETCH}\\ {}+\kern2px \mathrm{M}{4}^{\ast }\ \mathrm{GVAMANNOLPC}+\mathrm{M}{5}^{\ast}\mathrm{GVAU}+\mathrm{M}{6}^{\ast }\ \mathrm{GVACON}\\ {}+\kern2px \mathrm{M}{7}^{\ast }\ \mathrm{GVADIS}+\mathrm{M}{8}^{\ast}\left(\mathrm{GVATRACOM}-\mathrm{GVATRAPIPE}\right)\\ {}+\kern2px \mathrm{M}{9}^{\ast}\mathrm{GVAAGR}+\mathrm{M}{10}^{\ast }\ \mathrm{GVAFIBU}+\mathrm{M}{11}^{\ast }\ \mathrm{GVAGOV}\\ {}+\kern2px \mathrm{M}{12}^{\ast }\ \mathrm{GVAOTHS}+\mathrm{DIS}\_\mathrm{IDU}\end{array}} $$

(7.13)

Here, the coefficients from A1 to M12 are Input-Output coefficients. We do not report numerical values of them due to the data confidentiality issue as they obtained from OEGEM.

7.1.1.1.2 Final Demand

$$ \mathrm{FDAGR}={\displaystyle \begin{array}{l}\mathrm{N}{1}^{\ast }\ \mathrm{CONS}+\mathrm{N}{2}^{\ast }\ \mathrm{GC}+\mathrm{N}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{N}{4}^{\ast }\ \mathrm{IFNOILP}+\mathrm{N}{5}^{\ast }\ \mathrm{GI}\\ {}+\kern2px \mathrm{N}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{N}{7}^{\ast}\mathrm{XGNOIL}+\mathrm{N}{8}^{\ast }\ \mathrm{XS}+\mathrm{DIS}\_\mathrm{FDAGR}\end{array}} $$

(7.14)

$$ \mathrm{FDCON}={\displaystyle \begin{array}{l}\mathrm{O}{1}^{\ast }\ \mathrm{CONS}+\mathrm{O}{2}^{\ast }\ \mathrm{GC}+\mathrm{O}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{O}{4}^{\ast }\ \mathrm{IFNOILP}+\mathrm{O}{5}^{\ast }\ \mathrm{GI}\\ {}+\kern2px \mathrm{O}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{O}7\ast \mathrm{XGNOIL}+\mathrm{O}{8}^{\ast }\ \mathrm{XS}+\mathrm{DIS}\_\mathrm{FDCON}\end{array}} $$

(7.15)

$$ \mathrm{FDDIS}={\displaystyle \begin{array}{l}\mathrm{P}{1}^{\ast }\ \mathrm{CONS}+\mathrm{P}{2}^{\ast }\ \mathrm{GC}+\mathrm{P}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{P}{4}^{\ast }\ \mathrm{IFNOILP}+\mathrm{P}{5}^{\ast }\ \mathrm{GI}\\ {}+\kern2px \mathrm{P}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{P}{7}^{\ast}\mathrm{XGNOIL}+\mathrm{P}{8}^{\ast }\ \mathrm{XS}+\mathrm{DIS}\_\mathrm{FDDIS}\end{array}} $$

(7.16)

$$ \mathrm{FDFIBU}={\displaystyle \begin{array}{l}\mathrm{Q}{1}^{\ast }\ \mathrm{CONS}+\mathrm{Q}{2}^{\ast }\ \mathrm{GC}+\mathrm{Q}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{Q}{4}^{\ast }\ \mathrm{IFNOILP}+\mathrm{Q}{5}^{\ast }\ \mathrm{GI}\\ {}+\kern2px \mathrm{Q}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{Q}7\ast \mathrm{XGNOIL}+\mathrm{Q}{8}^{\ast }\ \mathrm{XS}+\mathrm{DIS}\_\mathrm{FDFIBU}\end{array}} $$

(7.17)

$$ \mathrm{FDGOV}={\displaystyle \begin{array}{l}\mathrm{R}{1}^{\ast }\ \mathrm{CONS}+\mathrm{R}{2}^{\ast }\ \mathrm{GC}+\mathrm{R}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{R}{4}^{\ast }\ \mathrm{IFNOILP}+\mathrm{R}{5}^{\ast }\ \mathrm{GI}\\ {}+\kern2px \mathrm{R}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{R}{7}^{\ast}\mathrm{XGNOIL}+\mathrm{R}{8}^{\ast }\ \mathrm{XS}+\mathrm{DIS}\_\mathrm{FDGOV}\end{array}} $$

(7.18)

$$ \mathrm{FDMANNOLPC}={\displaystyle \begin{array}{l}\mathrm{S}{1}^{\ast }\ \mathrm{CONS}+\mathrm{S}{2}^{\ast }\ \mathrm{GC}+\mathrm{S}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{S}{4}^{\ast }\ \mathrm{IFNOILP}\\ {}+\kern2px \mathrm{S}{5}^{\ast }\ \mathrm{GI}+\mathrm{S}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{S}{7}^{\ast }\ \mathrm{XGNOIL}+\mathrm{S}{8}^{\ast }\ \mathrm{XS}\\ {}+\kern2px \mathrm{DIS}\_\mathrm{FDMANNOLPC}\end{array}} $$

(7.19)

$$ \mathrm{FDMINOTH}=\mathrm{T}{1}^{\ast }\ \mathrm{CONS}+\mathrm{T}{2}^{\ast }\ \mathrm{GC}+\mathrm{T}{3}^{\ast }\ \mathrm{IF}+\mathrm{T}{4}^{\ast }\ \mathrm{X}+\mathrm{T}{5}^{\ast }\ \mathrm{IS} $$

(7.20)

$$ \mathrm{FDOIL}={\displaystyle \begin{array}{l}\mathrm{U}{1}^{\ast }\ \mathrm{CONS}+\mathrm{U}{2}^{\ast }\ \mathrm{GC}+\mathrm{U}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{U}{4}^{\ast }\ \mathrm{IFNOILP}+\mathrm{U}{5}^{\ast }\ \mathrm{GI}\\ {}+\kern2px \mathrm{U}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{U}{7}^{\ast}\mathrm{XGNOIL}+\mathrm{U}{8}^{\ast }\ \mathrm{XS}\end{array}} $$

(7.21)

$$ \mathrm{FDOILREF}=\mathrm{V}{1}^{\ast }\ \mathrm{CONS}+\mathrm{V}{2}^{\ast }\ \mathrm{GC}+\mathrm{V}{3}^{\ast }\ \mathrm{IF}+\kern0.50em \mathrm{V}{4}^{\ast }\ \mathrm{X}+\mathrm{V}{5}^{\ast }\ \mathrm{IS} $$

(7.22)

$$ \mathrm{FDOTHS}={\displaystyle \begin{array}{l}\mathrm{W}{1}^{\ast }\ \mathrm{CONS}+\mathrm{W}{2}^{\ast }\ \mathrm{GC}+\mathrm{W}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{W}{4}^{\ast }\ \mathrm{IFNOILP}\\ {}+\kern2px \mathrm{W}{5}^{\ast }\ \mathrm{GI}+\mathrm{W}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{W}{7}^{\ast }\ \mathrm{XGNOIL}+\mathrm{W}{8}^{\ast }\ \mathrm{XS}\\ {}+\kern2px \mathrm{DIS}\_\mathrm{FDOTHS}\end{array}} $$

(7.23)

$$ \mathrm{FDPETCH}={\displaystyle \begin{array}{l}\mathrm{X}{1}^{\ast }\ \mathrm{CONS}+\mathrm{X}{2}^{\ast }\ \mathrm{GC}+\mathrm{X}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{X}{4}^{\ast }\ \mathrm{IFNOILP}\\ {}+\kern2px \mathrm{X}{5}^{\ast }\ \mathrm{GI}+\mathrm{X}{6}^{\ast }\ \mathrm{X}\mathrm{GOIL}+\mathrm{X}7\ast \mathrm{XGNOIL}+\mathrm{X}{8}^{\ast }\ \mathrm{X}\mathrm{S}\\ {}+\kern2px \mathrm{DIS}\_\mathrm{FDPETCH}\end{array}} $$

(7.24)

$$ \mathrm{FDTRACOM}={\displaystyle \begin{array}{l}\mathrm{Y}{1}^{\ast }\ \mathrm{CONS}+\mathrm{Y}{2}^{\ast }\ \mathrm{GC}+\mathrm{Y}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{Y}{4}^{\ast }\ \mathrm{IFNOILP}\\ {}+\kern2px \mathrm{Y}{5}^{\ast }\ \mathrm{GI}+\mathrm{Y}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{Y}{7}^{\ast }\ \mathrm{XGNOIL}+\mathrm{Y}{8}^{\ast }\ \mathrm{XS}\\ {}+\kern2px \mathrm{DIS}\_\mathrm{FDTRACOM}\end{array}} $$

(7.25)

$$ \mathrm{FDU}={\displaystyle \begin{array}{l}\mathrm{Z}{1}^{\ast }\ \mathrm{CONS}+\mathrm{Z}{2}^{\ast }\ \mathrm{GC}+\mathrm{Z}{3}^{\ast }\ \mathrm{IFOIL}+\mathrm{Z}{4}^{\ast }\ \mathrm{IFNOILP}+\mathrm{Z}{5}^{\ast }\ \mathrm{GI}\\ {}+\kern2px \mathrm{Z}{6}^{\ast }\ \mathrm{XGOIL}+\mathrm{Z}{7}^{\ast}\mathrm{XGNOIL}+\mathrm{Z}{8}^{\ast }\ \mathrm{XS}+\mathrm{DIS}\_\mathrm{FDU}\end{array}} $$

(7.26)

Here, the coefficients from N1 to Z8 are Input-Output coefficients. We do not report numerical values of them due to the data confidentiality issue as they obtained from OEGEM.

7.1.1.1.3 Total Demand

$$ \mathrm{TDAGR}=\mathrm{IDAGR}+\mathrm{FDAGR} $$

(7.27)

$$ \mathrm{TDPETCH}=\mathrm{IDPETCH}+\mathrm{FDPETCH} $$

(7.28)

$$ \mathrm{TDCON}=\mathrm{IDCON}+\mathrm{FDCON} $$

(7.29)

$$ \mathrm{TDDIS}=\mathrm{IDDIS}+\mathrm{FDDIS} $$

(7.30)

$$ \mathrm{TDFIBU}=\mathrm{IDFIBU}+\mathrm{FDFIBU} $$

(7.31)

$$ \mathrm{TDGOV}=\mathrm{IDGOV}+\mathrm{FDGOV} $$

(7.32)

$$ \mathrm{TDMANNOLPC}=\mathrm{IDMANNOLPC}+\mathrm{FDMANNOLPC} $$

(7.33)

$$ \mathrm{TDMINOTH}=\mathrm{IDMINOTH}+\mathrm{FDMINOTH} $$

(7.34)

$$ \mathrm{TDOIL}=\mathrm{IDOIL}+\mathrm{FDOIL} $$

(7.35)

$$ \mathrm{TDOILREF}=\mathrm{IDOILREF}+\mathrm{FDOILREF} $$

(7.36)

$$ \mathrm{TDOTHS}=\mathrm{IDOTHS}+\mathrm{FDOTHS} $$

(7.37)

$$ \mathrm{TDTRACOM}=\mathrm{IDTRACOM}+\mathrm{FDTRACOM} $$

(7.38)

$$ \mathrm{TDU}=\mathrm{IDU}+\mathrm{FDU} $$

(7.39)

7.1.1.2 Identities for Total Final Expenditure and Domestic Demand

$$ \mathrm{TFE}=\mathrm{CONS}+\mathrm{IF}+\mathrm{GC}+\mathrm{IS}+\mathrm{X} $$

(7.40)

$$ \mathrm{DOMD}=\mathrm{CONS}+\mathrm{IF}+\mathrm{IS}+\mathrm{GC} $$

(7.41)

$$ \mathrm{DOMD}\_\mathrm{Z}=\mathrm{CONS}\_\mathrm{Z}+\mathrm{IF}\_\mathrm{Z}+\mathrm{IS}\_\mathrm{Z}+\mathrm{GC}\_\mathrm{Z} $$

(7.42)

7.1.1.2.1 Equations for Investments by Economic Activity Sector

$$ \mathrm{LOG}\ \left(\mathrm{IFDIS}\right)={1.00}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVADIS}\right)-{0.03}^{\ast }\ \mathrm{RRLEND}1-2.33+\mathrm{ECT}\_\mathrm{IFDIS} $$

(7.43)

$$ \mathrm{LOG}\ \left(\mathrm{IFCON}\right)={0.82}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVACON}\right)-{0.02}^{\ast }\ \mathrm{RRLEND}1+0.30+\mathrm{ECT}\_\mathrm{IFCON} $$

(7.44)

$$ \mathrm{LOG}\ \left(\mathrm{IFFIBU}\right)={\displaystyle \begin{array}{l}{2.32}^{\ast}\mathrm{LOG}\left(\mathrm{GVAFIBU}\right)+{0.94}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{REER}\right)-21.98\\ {}-\kern2px {0.54}^{\ast }\ \mathrm{DSH}2010+\mathrm{ECT}\_\mathrm{IFFIBU}\end{array}} $$

(7.45)

$$ \mathrm{LOG}\ \left(\mathrm{IFMANNOLPC}\right)={\displaystyle \begin{array}{l}{0.69}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVAMANNOLPC}\right)-{0.03}^{\ast }\ \mathrm{RRLEND}1\\ {}+\kern2px {0.86}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{RER}\right)+1.40+\mathrm{ECT}\_\mathrm{IFMANNOLPC}\end{array}} $$

(7.46)

$$ \mathrm{LOG}\ \left(\mathrm{IFOTHS}\right)={\displaystyle \begin{array}{l}{2.65}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVAOTHS}\right)-{0.13}^{\ast }\ \mathrm{RRLEND}1\\ {}-\kern2px {2.75}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{RER}\right)-14.26+\mathrm{ECT}\_\mathrm{IFOTHS}\end{array}} $$

(7.47)

$$ \mathrm{LOG}\ \left(\mathrm{IFPETCH}\right)={\displaystyle \begin{array}{l}{2.72}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVAPETCH}\right)+{2.24}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{RER}\right)\\ {}-\kern2px {0.13}^{\ast }\ \mathrm{RRLEND}1-20.72+\mathrm{ECT}\_\mathrm{IFPETCH}\end{array}} $$

(7.48)

$$ \mathrm{LOG}\ \left(\mathrm{IFTRACOX}\right)={0.81}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVATRACOM}\right)-{0.06}^{\ast }\ \mathrm{RRLEND}1+1.09+\mathrm{ECT}\_\mathrm{IFTRACOM} $$

(7.49)

$$ \mathrm{LOG}\ \left(\mathrm{IFU}\right)={0.79}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAU}\right)-{0.05}^{\ast }\ \mathrm{RRLEND}1-{0.37}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{RER}\right)+2.54+\mathrm{ECT}\_\mathrm{IFU} $$

(7.50)

$$ \mathrm{LOG}\ \left(\mathrm{IFAGR}\right)={\displaystyle \begin{array}{l}{3.25}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAAGR}\right)+{3.26}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{RER}\right)-33.17\\ {}+\kern2px {2.54}^{\ast }\ \mathrm{DST}1012+\mathrm{ECT}\_\mathrm{IFAGR}\end{array}} $$

(7.51)

7.1.1.3 Identities for Investments

$$ \mathrm{IF}=\mathrm{IFOIL}+\mathrm{IFNOIL}+\mathrm{DIS}\_\mathrm{IF} $$

(7.52)

$$ \mathrm{IF}\_\mathrm{Z}={\mathrm{IF}}^{\ast }\ \mathrm{PIF}/100 $$

(7.53)

$$ \mathrm{IFNOIL}=\mathrm{IFNOILP}+\mathrm{GI}+\mathrm{ISP} $$

(7.54)

$$ \mathrm{IFNOILP}={\displaystyle \begin{array}{l}\mathrm{IFDOMP}+\\ {}{100}^{\ast}\left(\left(\left(\mathrm{FI}\$\mathrm{IN}\_{\mathrm{Z}}^{\ast }\ \mathrm{RXD}\right)/\left(\mathrm{WPMF}\$\_\mathrm{WLD}/{111.4992}^{\ast }\ 100\right)\right)\right)\\ {}+\kern2px \mathrm{DIS}\_\mathrm{IFNOILP}\end{array}} $$

(7.55)

$$ \mathrm{FI}\$\mathrm{IN}\_\mathrm{Z}=\mathrm{FDI}\$\mathrm{IN}\_\mathrm{Z}+\mathrm{FPI}\$\mathrm{IN}\_\mathrm{Z}+\mathrm{FOI}\$\mathrm{IN}\_\mathrm{Z} $$

(7.56)

$$ \mathrm{IFDOMP}={\displaystyle \begin{array}{l}\mathrm{IFAGR}+\mathrm{IFCON}+\mathrm{IFDIS}+\mathrm{IFFIBU}+\mathrm{IFMANNO}\\ {}+\kern2px \mathrm{IFMINOTH}+\mathrm{IFOTHS}+\mathrm{IFTRACOX}+\mathrm{IFU}\\ {}+\kern2px \mathrm{DIS}\_\mathrm{IFDOM}\end{array}} $$

(7.57)

$$ \mathrm{IFMANNO}=\mathrm{IFMANNOLPC}+\mathrm{IFPETCH} $$

(7.58)

$$ \mathrm{IFNOIL}\_\mathrm{Z}=\mathrm{IFNOILP}\_\mathrm{Z}+\mathrm{GI}\_\mathrm{Z} $$

(7.59)

$$ \mathrm{GI}=\mathrm{GI}\_\mathrm{Z}/{\mathrm{PIF}}^{\ast }100+\mathrm{DIS}\_\mathrm{GI} $$

(7.60)

7.1.1.3.1 Equations for Gross Value Added by Economic Activity Sector

$$ \mathrm{LOG}\left(\mathrm{GVAAGR}\right)={\displaystyle \begin{array}{l}{0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{AGR}\right)+{0.07}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDAGR}\right)\\ {}+\kern2px {0.08}^{\ast }\ \mathrm{LOG}\left(\mathrm{DDIS}\_\mathrm{IND}\right)+9.85+{0.01}^{\ast }@\mathrm{TREND}\\ {}-\kern2px {0.07}^{\ast }\ \mathrm{DP}2008-{0.11}^{\ast }\ \mathrm{DP}2009+{0.01}^{\ast }\ \mathrm{DBT}2010\\ {}+\kern2px \mathrm{ECT}\_\mathrm{GVAAGR}\end{array}} $$

(7.61)

$$ \mathrm{LOG}\left(\mathrm{GVACON}\right)=\kern1em {\displaystyle \begin{array}{l}{0.28}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDCON}\right)+{0.63}^{\ast }\ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{TRA}\right)+\kern2px 5.68+\mathrm{ECT}\_\mathrm{GVACON}\end{array}} $$

(7.62)

$$ \mathrm{LOG}\left(\mathrm{GVADIS}\right)={1.22}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDDIS}\right)+{0.18}^{\ast }\ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{COMM}\right)-3.07+\mathrm{ECT}\_\mathrm{GVADIS} $$

(7.63)

$$ \mathrm{LOG}\left(\mathrm{GVAFIBU}\right)={0.16}^{\ast }\ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{COMM}\right)+{0.71}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDFIBU}\right)+3.57+\mathrm{ECT}\_\mathrm{GVAFIBU} $$

(7.64)

$$ \mathrm{LOG}\left(\mathrm{GVAGOV}\right)={\displaystyle \begin{array}{l}{0.25}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDGOV}\right)+{0.29}^{\ast }\ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{GOV}\right)+{0.13}^{\ast }\ \\ {}\mathrm{LOG}\left(\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{TRA}\right)+8.72-{0.06}^{\ast }\ \mathrm{DP}2008+\\ {}\mathrm{ECT}\_\mathrm{GVAGOV}\end{array}} $$

(7.65)

$$ \mathrm{LOG}\left(\mathrm{GVAMANNOLPC}\right)={\displaystyle \begin{array}{l}{0.91}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDMANNOLPC}\right)\\ {}+\kern2px {0.19}^{\ast }\ \mathrm{LOG}\left(\mathrm{DNGA}\_\mathrm{IND}\right)\\ {}+\kern2px {0.12}^{\ast}\mathrm{LOG}\left(\mathrm{DDIS}\_\mathrm{IND}\right)\\ {}+\kern2px {0.24}^{\ast }\ \mathrm{LOG}\left(\mathrm{DHFO}\_\mathrm{IND}\right)\\ {}+\kern2px {0.05}^{\ast }\ \mathrm{LOG}\left(\mathrm{DCOIL}\_\mathrm{IND}\right)-0.92\\ {}+\kern2px {0.18}^{\ast }\ \mathrm{DP}1997+\mathrm{ECT}\_\mathrm{GVAMANNOLPC}\end{array}} $$

(7.66)

$$ \mathrm{LOG}\left(\mathrm{GVAOILMIN}\right)={0.98}^{\ast }\ \mathrm{LOG}\left(\mathrm{OILMBD}\right)+11.44+{0.002}^{\ast }@\mathrm{TREND}+\mathrm{ECT}\_\mathrm{GVAOILMIN} $$

(7.67)

$$ \mathrm{LOG}\ \left(\mathrm{GVAOILREF}\right)={\displaystyle \begin{array}{l}{1.01}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{TDOIL}\right)+{0.56}^{\ast }\ \mathrm{LOG}\ \Big({\mathrm{OILUSE}}^{\ast }\ {365}^{\ast}\\ {}\ 0.1486-\kern2px \mathrm{DCOIL}\_\mathrm{U}\left)-{0.36}^{\ast }\ \mathrm{LOG}\ \right(\mathrm{DNGA}\_\mathrm{IND}\\ {}+\kern2px \mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DNGA}\_\mathrm{EOU}\Big)-4.41\\ {}-\kern2px {0.21}^{\ast }\ \mathrm{DP}2013+\mathrm{ECT}\_\mathrm{GVAOILREF}\end{array}} $$

(7.68)

$$ \mathrm{LOG}\left(\mathrm{GVAOTHS}\right)={\displaystyle \begin{array}{l}{0.47}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDOTHS}\right)+{0.19}^{\ast }\ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{COMM}\right)\\ {}+\kern2px 5.43+{0.03}^{\ast}\mathrm{DBT}2015+\mathrm{ECT}\_\mathrm{GVAOTHS}\end{array}} $$

(7.69)

$$ \mathrm{LOG}\left(\mathrm{GVAPETCH}\right)={\displaystyle \begin{array}{l}{0.31}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDPETCH}\right)\\ {}+\kern2px {0.54}^{\ast }\ \mathrm{LOG}\Big(\mathrm{DETH}\_\mathrm{IND}\_\mathrm{NEU}\\ {}+\kern2px \mathrm{DLPG}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DNAP}\_\mathrm{IND}\_\mathrm{NEU}\\ {}+\kern2px \mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}\Big)+{0.38}^{\ast }\ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{IND}\right)\\ {}+\kern2px 4.70-{0.20}^{\ast }\ \mathrm{DSH}2008+\mathrm{ECT}\_\mathrm{GVAPETCH}\end{array}} $$

(7.70)

$$ \mathrm{LOG}\left(\mathrm{DETH}\_\mathrm{IND}\_\mathrm{NEU}\right)={\displaystyle \begin{array}{l}-{0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{PETH}\_\mathrm{IND}\_\mathrm{NEU}/{\mathrm{PGDPPETCH}}^{\ast }\ 100\right)\\ {}+\kern2px {0.71}^{\ast}\mathrm{LOG}\left(\mathrm{GVAPETCH}\right)-4.19\\ {}-\kern2px {0.21}^{\ast }\ \mathrm{DSH}000102-{0.19}^{\ast }\ \mathrm{DP}2008\\ {}+\kern2px \mathrm{ECT}\_\mathrm{DETH}\_\mathrm{IND}\_\mathrm{NEU}\end{array}} $$

(7.71)

$$ \mathrm{LOG}\left(\mathrm{DLPG}\_\mathrm{IND}\_\mathrm{NEU}\right)={\displaystyle \begin{array}{l}-{0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{PLPG}\_\mathrm{IND}\_\mathrm{NEU}/{\mathrm{PGDPPETCH}}^{\ast }\ 100\right)\\ {}+\kern2px {0.53}^{\ast}\mathrm{LOG}\left(\mathrm{GVAPETCH}\right)-2.93\\ {}+\kern2px {0.17}^{\ast }\ \mathrm{DTB}9501-{0.47}^{\ast }\ \mathrm{DSH}2003\\ {}+\kern2px \mathrm{ECT}\_\mathrm{DLPG}\_\mathrm{IND}\_\mathrm{NEU}\end{array}} $$

(7.72)

$$ \mathrm{LOG}\left(\mathrm{DNAP}\_\mathrm{IND}\_\mathrm{NEU}\right)={\displaystyle \begin{array}{l}-{0.31}^{\ast }\ \mathrm{LOG}\left(\mathrm{PNAP}\_\mathrm{IND}\_\mathrm{NEU}/{\mathrm{PGDPPETCH}}^{\ast }\ 100\right)\\ {}+\kern2px {3.47}^{\ast}\mathrm{LOG}\left(\mathrm{GVAPETCH}\right)-24.81\\ {}-\kern2px {0.14}^{\ast }@\mathrm{TREND}-{1.35}^{\ast }\ \mathrm{DP}1991\\ {}+\kern2px \mathrm{ECT}\_\mathrm{DNAP}\_\mathrm{IND}\_\mathrm{NEU}\end{array}} $$

(7.73)

$$ \mathrm{LOG}\left(\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}\right)={\displaystyle \begin{array}{l}-{0.08}^{\ast }\ \mathrm{LOG}\left(\mathrm{PNGA}\_\mathrm{IND}\_\mathrm{NEU}/{\mathrm{PGDPPETCH}}^{\ast }\ 100\right)\\ {}+\kern2px {0.35}^{\ast}\mathrm{LOG}\left(\mathrm{GVAPETCH}\right)-1.76\\ {}+\kern2px {0.06}^{\ast }\ \mathrm{TI}2009+{0.12}^{\ast }\ \mathrm{S}12001\\ {}+\kern2px \mathrm{ECT}\_\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}\end{array}} $$

(7.74)

$$ \mathrm{LOG}\left(\mathrm{GVATRACOM}\right)={\displaystyle \begin{array}{l}{1.40}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDTRACOM}\right)\\ {}+\kern2px {0.38}^{\ast }\ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{COMM}\right)\\ {}+\kern2px {0.65}^{\ast}\mathrm{LOG}\left(\mathrm{DGAS}\_\mathrm{TRA}\right)\\ {}+\kern2px {0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{DEOTH}\_\mathrm{TRA}\right)-4.21\\ {}-\kern2px {0.06}^{\ast }@\mathrm{TREND}+{0.07}^{\ast }\ \mathrm{DBT}2016\\ {}+\kern2px \mathrm{ECT}\_\mathrm{GVATRACOM}\end{array}} $$

(7.75)

$$ \mathrm{LOG}\left(\mathrm{GVAU}\right)={\displaystyle \begin{array}{l}{0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{TDU}\right)+{0.46}^{\ast }\ \mathrm{LOG}\left(\mathrm{DNGA}\_\mathrm{U}\right)\\ {}+\kern2px {0.17}^{\ast }\ \mathrm{LOG}\left(\mathrm{DCOIL}\_\mathrm{U}\right)+{0.49}^{\ast}\mathrm{LOG}\left(\mathrm{DDIS}\_\mathrm{U}+\mathrm{DHFO}\_\mathrm{U}\right)\\ {}+\kern2px 5.16-{0.07}^{\ast }\ \mathrm{DP}2008+\mathrm{ECT}\_\mathrm{GVAU}\end{array}} $$

(7.76)

7.1.1.4 Identities for Gross Value Added

7.1.1.4.1 Sectoral Aggregations

$$ \mathrm{GVAREAL}=\mathrm{GVAFIBU}-\mathrm{GVAFIBUOTH} $$

(7.77)

$$ \mathrm{GVAIND}=\mathrm{GVAU}+\mathrm{GVAMAN}+\mathrm{GVAMINOTH}+\mathrm{GVAOILMIN} $$

(7.78)

$$ \mathrm{GVAMIN}=\mathrm{GVAMINOTH}+\mathrm{GVAOILMIN} $$

(7.79)

$$ \mathrm{GVAMANNO}=\mathrm{GVAMANNOLPC}+\mathrm{GVAPETCH} $$

(7.80)

$$ \mathrm{GVAMAN}=\mathrm{GVAMANNO}+\mathrm{GVAOILREF} $$

(7.81)

$$ \mathrm{GVAOIL}=\mathrm{GVAOILMIN}+\mathrm{GVAOILREF}+\mathrm{DIS}\_\mathrm{GVAOIL} $$

(7.82)

$$ \mathrm{GVANOIL}={\displaystyle \begin{array}{l}\mathrm{GVAAGR}+\mathrm{GVACON}+\mathrm{GVAU}+\mathrm{GVAMANNO}\\ {}+\kern2px \mathrm{GVAMINOTH}+\mathrm{GVADIS}+\mathrm{GVATRACOM}\\ {}+\kern2px \mathrm{GVAFIBU}+\mathrm{GVAOTHS}+\mathrm{GVAGOV}-\mathrm{GVAFISIM}+\kern2px \mathrm{DIS}\_\mathrm{GVANOIL}\end{array}} $$

(7.83)

$$ \mathrm{GDP}=\mathrm{GVANOIL}+\mathrm{GVAOIL}+\mathrm{GVANIT} $$

(7.84)

7.1.1.4.2 Value Added in Nominal Terms by Economic Activity Sector

$$ \mathrm{GVACON}\_\mathrm{Z}={\mathrm{GVACON}}^{\ast }\ \mathrm{PGDPCON}/100 $$

(7.85)

$$ \mathrm{GVAFIBU}\_\mathrm{Z}=\mathrm{GVAFIBUOTH}\_\mathrm{Z}+\mathrm{GVAREAL}\_\mathrm{Z} $$

(7.86)

$$ \mathrm{GVAFIBUOTH}\_\mathrm{Z}={\mathrm{GVAFIBUOTH}}^{\ast }\ \mathrm{PGDPFIBUOTH}/100 $$

(7.87)

$$ \mathrm{GVASER}=\mathrm{GVADIS}+\mathrm{GVATRACOM}+\mathrm{GVAFIBU}+\mathrm{GVAOTHS}+\mathrm{GVAGOV} $$

(7.88)

$$ \mathrm{GVASER}\_\mathrm{Z}=\mathrm{GVADIS}\_\mathrm{Z}+\mathrm{GVATRACOM}\_\mathrm{Z}+\mathrm{GVAFIBU}\_\mathrm{Z}+\mathrm{GVAOTHS}\_\mathrm{Z}+\mathrm{GVAGOV}\_\mathrm{Z} $$

(7.89)

$$ \mathrm{GVADIS}\_\mathrm{Z}={\mathrm{GVADIS}}^{\ast }\ \mathrm{PGDPDIS}/100 $$

(7.90)

$$ \mathrm{GVATRACOM}\_\mathrm{Z}={\mathrm{GVATRACOM}}^{\ast }\ \mathrm{PGDPTRACOM}/100 $$

(7.91)

$$ \mathrm{GVAGOV}\_\mathrm{Z}={\mathrm{GVAGOV}}^{\ast }\ \mathrm{PGDPGOV}/100 $$

(7.92)

$$ \mathrm{GVAIND}\_\mathrm{Z}=\mathrm{GVAU}\_\mathrm{Z}+\mathrm{GVAMAN}\_\mathrm{Z}+\mathrm{GVAMINOTH}\_\mathrm{Z}+\mathrm{GVAOILMIN}\_\mathrm{Z} $$

(7.93)

$$ \mathrm{GVAU}\_\mathrm{Z}={\mathrm{GVAU}}^{\ast }\ \mathrm{PGDPU}/100 $$

(7.94)

$$ \mathrm{GVAMAN}\_\mathrm{Z}={\mathrm{GVAMAN}}^{\ast }\ \mathrm{PGDPMAN}/100 $$

(7.95)

$$ \mathrm{GVAMINOTH}\_\mathrm{Z}={\mathrm{GVAMINOTH}}^{\ast }\ \mathrm{PGDPMINOTH}/100 $$

(7.96)

$$ \mathrm{GVAOILMIN}\_\mathrm{Z}={\mathrm{GVAOILMIN}}^{\ast }\ \mathrm{PGDPOILMIN}/100 $$

(7.97)

$$ \mathrm{GVAMIN}\_\mathrm{Z}=\mathrm{GVAMINOTH}\_\mathrm{Z}+\mathrm{GVAOILMIN}\_\mathrm{Z} $$

(7.98)

$$ \mathrm{GVAMANNO}\_\mathrm{Z}=\mathrm{GVAMAN}\_\mathrm{Z}-\mathrm{GVAOILREF}\_\mathrm{Z} $$

(7.99)

$$ \mathrm{GVAOILREF}\_\mathrm{Z}={\mathrm{GVAOILREF}}^{\ast }\ \mathrm{PGDPOILREF}/100 $$

(7.100)

$$ \mathrm{GVAAGR}\_\mathrm{Z}={\mathrm{GVAAGR}}^{\ast }\ \mathrm{PGDPAGR}/100 $$

(7.101)

$$ \mathrm{GVANOIL}\_\mathrm{Z}={\displaystyle \begin{array}{l}\mathrm{GVAAGR}\_\mathrm{Z}+\mathrm{GVACON}\_\mathrm{Z}+\mathrm{GVAU}\_\mathrm{Z}\\ {}+\kern2px \mathrm{GVAMANNO}\_\mathrm{Z}+\mathrm{GVAMINOTH}\_\mathrm{Z}+\mathrm{GVADIS}\_\mathrm{Z}\\ {}+\kern2px \mathrm{GVATRACOM}\_\mathrm{Z}+\mathrm{GVAFIBU}\_\mathrm{Z}+\mathrm{GVAOTHS}\_\mathrm{Z}\\ {}+\kern2px \mathrm{GVAGOV}\_\mathrm{Z}-\mathrm{GVAFISIM}\_\mathrm{Z}+\mathrm{DIS}\_\mathrm{GVANOIL}\_\mathrm{Z}\end{array}} $$

(7.102)

$$ \mathrm{GVAFISIM}\_\mathrm{Z}={\mathrm{GVAFISIM}}^{\ast }\ \mathrm{PGDPFISIM}/100 $$

(7.103)

$$ \mathrm{GVAOIL}\_\mathrm{Z}=\mathrm{GVAOILMIN}\_\mathrm{Z}+\mathrm{GVAOILREF}\_\mathrm{Z}+\mathrm{DIS}\_\mathrm{GVAOIL}\_\mathrm{Z} $$

(7.104)

$$ \mathrm{GDP}\_\mathrm{Z}=\mathrm{GVANOIL}\_\mathrm{Z}+\mathrm{GVAOIL}\_\mathrm{Z}+\mathrm{GVANIT}\_\mathrm{Z} $$

(7.105)

$$ \mathrm{GDP}\$\_\mathrm{Z}=\mathrm{GDP}\_\mathrm{Z}/\mathrm{RXD} $$

(7.106)

$$ \mathrm{GVANIT}\_\mathrm{Z}={\mathrm{GVANIT}}^{\ast }\ \mathrm{PGDPNIT}/100+\mathrm{DIS}\_\mathrm{GVANIT}\_\mathrm{Z} $$

(7.107)

7.1.1.4.3 Disposable Income, Private Consumption and Wealth

$$ \mathrm{DI}\_\mathrm{T}\_\mathrm{Z}=\mathrm{NNSA}\_\mathrm{Z}+\mathrm{CONS}\_\mathrm{Z}+\mathrm{GC}\_\mathrm{Z} $$

(7.108)

$$ \mathrm{DI}\_\mathrm{Z}=\mathrm{LABCOMP}+\mathrm{GCGPE}-\mathrm{REMOF}+\mathrm{DIS}\_\mathrm{DI}\_\mathrm{Z} $$

(7.109)

$$ \mathrm{DI}=\mathrm{DI}\_\mathrm{Z}/{\mathrm{CPI}}^{\ast }\ 100 $$

(7.110)

$$ \mathrm{LOG}\left(\mathrm{CONS}\right)={\displaystyle \begin{array}{l}{1.00}^{\ast }\ \mathrm{LOG}\left(\mathrm{DI}\right)-{0.03}^{\ast}\left(\mathrm{RCB}-@\mathrm{PCH}\left(\mathrm{CPI}\right)\ast 100\right)\\ {}-\kern2px {0.54}^{\ast }\ \mathrm{LOG}\left(\mathrm{WEALTH}\right)+5.97+\mathrm{ECT}\_\mathrm{CONS}\end{array}} $$

(7.111)

$$ \mathrm{PCONS}=\mathrm{CONS}\_\mathrm{Z}/{\mathrm{CONS}}^{\ast }\ 100 $$

(7.112)

$$ \mathrm{WEALTH}=\left(\left(\mathrm{M}3-\mathrm{M}0\right)-\mathrm{LIABP}\right)/{\mathrm{CPI}}^{\ast }\ 100 $$

(7.113)

7.1.2 Supply-Side

7.1.2.1 Identities for Capital Stocks by Economic Activity Sector

$$ \mathrm{CAPAGR}=\mathrm{CAPAGR}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFAGR}+\mathrm{DIS}\_\mathrm{CAPAGR} $$

(7.114)

$$ \mathrm{CAPCON}=\mathrm{CAPCON}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFCON}+\mathrm{DIS}\_\mathrm{CAPCON} $$

(7.115)

$$ \mathrm{CAPDIS}=\mathrm{CAPDIS}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFDIS}+\mathrm{DIS}\_\mathrm{CAPDIS} $$

(7.116)

$$ \mathrm{CAPFIBU}=\mathrm{CAPFIBU}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFFIBU}+\mathrm{DIS}\_\mathrm{CAPFIBU} $$

(7.117)

$$ \mathrm{CAPGOV}=\mathrm{CAPGOV}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{GI}+\mathrm{DIS}\_\mathrm{CAPGOV} $$

(7.118)

$$ \mathrm{CAPMANNOLPC}=\mathrm{CAPMANNOLPC}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFMANNOLPC}+\mathrm{DIS}\_\mathrm{CAPMANNOLPC} $$

(7.119)

$$ \mathrm{CAPNOIL}=\mathrm{CAPNOIL}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFNOIL}+\mathrm{DIS}\_\mathrm{CAPNOIL} $$

(7.120)

$$ \mathrm{CAPOILREF}=\mathrm{CAPOILREF}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFOIL}+\mathrm{DIS}\_\mathrm{CAPOILREF} $$

(7.121)

$$ \mathrm{CAPOTHS}=\mathrm{CAPOTHS}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFOTHS}+\mathrm{DIS}\_\mathrm{CAPOTHS} $$

(7.122)

$$ \mathrm{CAPPETCH}=\mathrm{CAPPETCH}{\left(-1\right)}^{\ast }\ 0.788+\mathrm{IFPETCH}+\mathrm{DIS}\_\mathrm{CAPPETCH} $$

(7.123)

$$ \mathrm{CAPU}=\mathrm{CAPU}{\left(-1\right)}^{\ast }\ 0.95+\mathrm{IFU}+\mathrm{DIS}\_\mathrm{CAPU} $$

(7.124)

$$ \mathrm{KOILREF}=\mathrm{IFREF}+\mathrm{KOILREF}{\left(-1\right)}^{\ast }\ 0.9500000+\mathrm{DIS}\_\mathrm{KOILREF} $$

(7.125)

7.1.2.2 Identities for the Estimated Potential Output Equations by Economic Activity Sector

$$ \mathrm{POT}\_\mathrm{GVAAGR}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.21}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPAGR}\right)+{0.19}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETAGR}\right)\\ {}+\kern2px {0.56}^{\ast }\ \mathrm{LOG}\left(\mathrm{AGRLANDSH}\right)+4.82\\ {}+\kern2px {0.003}^{\ast }\ \mathrm{DSH}{2010}^{\ast }@\mathrm{TREND}\Big)\end{array}} $$

(7.126)

$$ \mathrm{POT}\_\mathrm{GVACON}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.28}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPCON}\right)+{0.72}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETCON}\right)\\ {}+\kern2px 3.09+{0.10}^{\ast }\ \mathrm{DP}2011\Big)\end{array}} $$

(7.127)

$$ \mathrm{POT}\_\mathrm{GVADIS}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.73}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPDIS}\right)+{0.56}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETDIS}\right)-0.98\\ {}-\kern2px {0.14}^{\ast }\ \mathrm{DP}2003-{0.07}^{\ast }\ \mathrm{DP}2011\Big)\end{array}} $$

(7.128)

$$ \mathrm{POT}\_\mathrm{GVAFIBU}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.36}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPFIBU}\right)+{0.51}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETFIBU}\right)\\ {}+\kern2px 4.96+{0.41}^{\ast }\ \mathrm{DP}2013\Big)\end{array}} $$

(7.129)

$$ \mathrm{POT}\_\mathrm{GVAGOV}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.09}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{CAPGOV}\right)\\ {}+\kern2px {0.66}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{ETGOV}\right)+6.74\Big)\end{array}} $$

(7.130)

$$ \mathrm{POT}\_\mathrm{GVAMANNOLPC}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.82}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPMANNOLPC}\right)\\ {}+\kern2px {0.46}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETMANNO}\right)-0.24\Big)\end{array}} $$

(7.131)

$$ \mathrm{POT}\_\mathrm{GVANOIL}=\mathrm{EXP}\left({0.40}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPNOIL}\right)+{0.59}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETNOIL}\right)+2.51\right) $$

(7.132)

$$ \mathrm{POT}\_\mathrm{GVAOILREF}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.86}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPOILREF}\right)\\ {}+\kern2px {0.44}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETOILREF}\right)+1.23\Big)\end{array}} $$

(7.133)

$$ \mathrm{POT}\_\mathrm{GVAOTHS}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.11}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPOTHS}\right)+{0.71}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETOTHS}\right)\\ {}+\kern2px 4.19+{0.04}^{\ast }\ \mathrm{DBT}2015\Big)\end{array}} $$

(7.134)

$$ \mathrm{POT}\_\mathrm{GVAPETCH}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({0.43}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPPETCH}\right)\\ {}+\kern2px {0.31}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETPETCH}\right)+3.96+{0.24}^{\ast }\ \mathrm{DST}0312\\ {}-\kern2px {0.29}^{\ast }\ \mathrm{DP}2012\Big)\end{array}} $$

(7.135)

$$ \mathrm{POT}\_\mathrm{GVATRACOM}={\displaystyle \begin{array}{l}\mathrm{EXP}\Big({1.23}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPNOIL}-\mathrm{CAPMANNO}\right)\\ {}+\kern2px {0.40}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETTRACOM}\right)-8.93\Big)\end{array}} $$

(7.136)

$$ \mathrm{POT}\_\mathrm{GVAU}=\mathrm{EXP}\ \left({0.78}^{\ast }\ \mathrm{LOG}\left(\mathrm{CAPU}\right)+{0.35}^{\ast }\ \mathrm{LOG}\left(\mathrm{ETU}\right)-1.11\right) $$

(7.137)

$$ \mathrm{POT}\_\mathrm{GVAMANNO}=\mathrm{POT}\_\mathrm{GVAMANNO}\mathrm{LPC}+\mathrm{POT}\_\mathrm{GVAPETCH} $$

(7.138)

7.1.2.3 Identities for Output Gaps by Economic Activity Sector

$$ \mathrm{GAP}\_\mathrm{GVAAGR}=\mathrm{GVAAGR}-\mathrm{POT}\_\mathrm{GVAAGR} $$

(7.139)

$$ \mathrm{GAP}\_\mathrm{GVACON}=\mathrm{GVACON}-\mathrm{POT}\_\mathrm{GVACON} $$

(7.140)

$$ \mathrm{GAP}\_\mathrm{GVADIS}=\mathrm{GVADIS}-\mathrm{POT}\_\mathrm{GVADIS} $$

(7.141)

$$ \mathrm{GAP}\_\mathrm{GVAFIBU}=\mathrm{GVAFIBU}-\mathrm{POT}\_\mathrm{GVAFIBU} $$

(7.142)

$$ \mathrm{GAP}\_\mathrm{GVAGOV}=\mathrm{GVAGOV}-\mathrm{POT}\_\mathrm{GVAGOV} $$

(7.143)

$$ \mathrm{GAP}\_\mathrm{GVAMANNOLPC}=\mathrm{GVAMANNOLPC}-\mathrm{POT}\_\mathrm{GVAMANNOLPC} $$

(7.144)

$$ \mathrm{GAP}\_\mathrm{GVANOIL}=\mathrm{GVANOIL}-\mathrm{POT}\_\mathrm{GVANOIL} $$

(7.145)

$$ \mathrm{GAP}\_\mathrm{GVAOILREF}=\mathrm{GVAOILREF}-\mathrm{POT}\_\mathrm{GVAOILREF} $$

(7.146)

$$ \mathrm{GAP}\_\mathrm{GVAOTHS}=\mathrm{GVAOTHS}-\mathrm{POT}\_\mathrm{GVAOTHS} $$

(7.147)

$$ \mathrm{GAP}\_\mathrm{GVAPETCH}=\mathrm{GVAPETCH}-\mathrm{POT}\_\mathrm{GVAPETCH} $$

(7.148)

$$ \mathrm{GAP}\_\mathrm{GVATRACOM}=\mathrm{GVATRACOM}-\mathrm{POT}\_\mathrm{GVATRACOM} $$

(7.149)

$$ \mathrm{GAP}\_\mathrm{GVAU}=\mathrm{GVAU}-\mathrm{POT}\_\mathrm{GVAU} $$

(7.150)

7.2 Fiscal Block Behavioral Equations and Identities

7.2.1 Equations for Government Expenditure Items

$$ \mathrm{LOG}\left(\mathrm{GWSA}\_\mathrm{Z}\right)={0.86}^{\ast }\ \mathrm{LOG}\left(\mathrm{GREV}\right)+1.18+\mathrm{ECT}\_\mathrm{GWSA}\_\mathrm{Z} $$

(7.151)

$$ \mathrm{LOG}\left(\mathrm{GAE}\_\mathrm{Z}\right)={0.87}^{\ast }\ \mathrm{LOG}\left(\mathrm{GREV}\right)-0.96+\mathrm{ECT}\_\mathrm{GAE}\_\mathrm{Z} $$

(7.152)

$$ \mathrm{LOG}\left(\mathrm{GMO}\_\mathrm{Z}\right)={0.68}^{\ast }\ \mathrm{LOG}\left(\mathrm{GREV}\right)+2.05+\mathrm{ECT}\_\mathrm{GMO}\_\mathrm{Z} $$

(7.153)

$$ \mathrm{LOG}\left(\mathrm{GCGPE}\right)={0.72}^{\ast }\ \mathrm{LOG}\left(\mathrm{GREV}\right)-5.57+{6.21}^{\ast }\ \mathrm{DSH}1981+\mathrm{ECT}\_\mathrm{GCGPE} $$

(7.154)

$$ \mathrm{LOG}\left(\mathrm{GC}\_\mathrm{Z}\_\mathrm{OTH}\right)={1.03}^{\ast }\ \mathrm{LOG}\left(\mathrm{GREV}\right)-2.28+\mathrm{ECT}\_\mathrm{GC}\_\mathrm{Z}\_\mathrm{OTH} $$

(7.155)

$$ \mathrm{LOG}\left(\mathrm{GI}\_\mathrm{Z}\right)={0.81}^{\ast }\ \mathrm{LOG}\left(\mathrm{GREV}\right)+0.80+\mathrm{ECT}\_\mathrm{GI}\_\mathrm{Z} $$

(7.156)

7.2.2 Identities for Government Expenditures

$$ \mathrm{GEXP}=\mathrm{PSCE}+\mathrm{PSCAPE} $$

(7.157)

$$ \mathrm{PSCE}=\mathrm{GWSA}\_\mathrm{Z}+\mathrm{GAE}\_\mathrm{Z}+\mathrm{GMO}\_\mathrm{Z}+\mathrm{GCGPE}+\mathrm{PSCE}\_\mathrm{OTH} $$

(7.158)

$$ \mathrm{LOG}\left(\mathrm{PSCE}\_\mathrm{OTH}\right)={\displaystyle \begin{array}{l}{0.45}^{\ast }\ \mathrm{LOG}\left(\mathrm{GREVOIL}\right)+{0.65}^{\ast }\ \mathrm{LOG}\left(\mathrm{GREVNOIL}\right)\\ {}-\kern2px 1.70-{2.29}^{\ast }\ \mathrm{DP}1986+\mathrm{ECT}\_\mathrm{PSCE}\_\mathrm{OTH}\end{array}} $$

(7.159)

$$ \mathrm{PSCAPE}=\mathrm{PSCAPE}{\left(-1\right)}^{\ast }\ \mathrm{GI}\_\mathrm{Z}/\mathrm{GI}\_\mathrm{Z}\left(-1\right)+\mathrm{DIS}\_\mathrm{PSCAPE} $$

(7.160)

$$ \mathrm{GC}\_\mathrm{Z}=\mathrm{GWSA}\_\mathrm{Z}+\mathrm{GAE}\_\mathrm{Z}+\mathrm{GMO}\_\mathrm{Z}+\mathrm{GC}\_\mathrm{Z}\_\mathrm{OTH} $$

(7.161)

$$ \mathrm{GC}=\mathrm{GC}\_\mathrm{Z}/{\mathrm{PGC}}^{\ast }\ 100 $$

(7.162)

7.2.3 Identities for Government Revenues

$$ \mathrm{GREV}=\mathrm{GREVOIL}+\mathrm{GREVNOIL} $$

(7.163)

$$ \mathrm{GREVOIL}={0.80}^{\ast }\ \mathrm{XGOIL}\$\_{\mathrm{Z}}^{\ast }\ \mathrm{RXD}+\mathrm{DIS}\_\mathrm{GREVOIL} $$

(7.164)

$$ \mathrm{GREVNOIL}={\displaystyle \begin{array}{l}{0.85}^{\ast }\ \mathrm{CEN}\_\mathrm{TOT}\_\mathrm{KSA}+\mathrm{VAT}\_\mathrm{REV}+\mathrm{EXPL}+\mathrm{HUVF}\\ {}+\kern2px \mathrm{OVF}+\mathrm{TOITT}+\mathrm{TOIPC}+\mathrm{DIS}\_\mathrm{GREVNOIL}\end{array}} $$

(7.165)

$$ \mathrm{VAT}\_\mathrm{REV}={\displaystyle \begin{array}{l}\mathrm{VAT}\_\mathrm{RATE}/{100}^{\ast }\ \mathrm{C}\_{\mathrm{RATIO}}^{\ast }\ \Big({0.90}^{\ast }\ \mathrm{GC}\_\mathrm{Z}\\ {}+\kern2px {0.90}^{\ast}\left({\mathrm{CONS}}^{\ast }\ \mathrm{PCONS}/100\right)\Big){}^{\ast}\mathrm{VAT}\_\mathrm{REV}\_\mathrm{DUMMY}\\ {}+\kern2px \mathrm{DIS}\_\mathrm{VAT}\_\mathrm{REV}\end{array}} $$

(7.166)

$$ \mathrm{EXPL}=\mathrm{EXPL}{\left(-1\right)}^{\ast }\ \mathrm{POPNS}/\mathrm{POPNS}\left(-1\right)+\mathrm{DIS}\_\mathrm{EXPL} $$

(7.167)

$$ \mathrm{HUVF}=\mathrm{HUVF}{\left(-1\right)}^{\ast }\ \mathrm{XSTRAV}\_\mathrm{Z}/\mathrm{XSTRAV}\_\mathrm{Z}\left(-1\right)+\mathrm{DIS}\_\mathrm{HUVF} $$

(7.168)

$$ \mathrm{OVF}=\mathrm{OVF}{\left(-1\right)}^{\ast }\ \mathrm{XSTRAV}\_\mathrm{Z}/\mathrm{XSTRAV}\_\mathrm{Z}\left(-1\right)+\mathrm{DIS}\_\mathrm{OVF} $$

(7.169)

$$ \mathrm{TOITT}=\mathrm{TOITT}{\left(-1\right)}^{\ast }\ \mathrm{M}\_\mathrm{Z}/\mathrm{M}\_\mathrm{Z}\left(-1\right)+\mathrm{DIS}\_\mathrm{TOIT} $$

(7.170)

$$ \mathrm{TOIPC}=\mathrm{TOIPC}{\left(-1\right)}^{\ast }\ \mathrm{GVANOIL}/\mathrm{GVANOIL}\left(-1\right)+\mathrm{DIS}\_\mathrm{TOIPC} $$

(7.171)

7.2.4 Identities for Total and Non-oil Budget Balance

$$ \mathrm{GB}=\mathrm{GREV}-\mathrm{GEXP} $$

(7.172)

$$ \mathrm{GBNOIL}=\mathrm{GB}-\mathrm{GREVOIL} $$

(7.173)

$$ \mathrm{DEBT}\_\mathrm{GOV}=-{0.44}^{\ast }\ \mathrm{GB}+17290.59+{225653.47}^{\ast }\ \mathrm{DP}2008+\mathrm{ECT}\_\mathrm{DEBT}\_\mathrm{GOV} $$

(7.174)

$$ \mathrm{DEBTG}\_\mathrm{GOV}=\mathrm{DEBTG}\_\mathrm{GOV}\left(-1\right)+\mathrm{DEBT}\_\mathrm{GOV} $$

(7.175)

7.3 Monetary Block Equations and Identities

$$ {\displaystyle \begin{array}{l}\mathrm{LOG}\left(\mathrm{M}2\right)={1.00}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDP}\right)+{0.82}^{\ast }\ \mathrm{LOG}\left(\mathrm{GDP}\right)-{0.02}^{\ast }\ \mathrm{IRD}+{0.10}^{\ast}\\ {}\mathrm{LOG}\left(\mathrm{WPO}\_\mathrm{AL}\_\mathrm{R}\right)+{0.624835}^{\ast }\ \mathrm{LOG}\left(\mathrm{REER}\right)+{0.03}^{\ast }@\mathrm{TREND}(50)-3.21+\mathrm{ECT}\_\mathrm{MD}\_\mathrm{UR}\end{array}} $$

(7.176)

$$ \mathrm{M}0=\mathrm{M}2-\mathrm{DTS}-\mathrm{DD} $$

(7.177)

$$ \mathrm{M}1=\mathrm{M}2-\mathrm{DTS} $$

(7.178)

$$ \mathrm{M}3=\mathrm{M}2+\mathrm{DQM} $$

(7.179)

$$ \mathrm{LIABP}=\left(\mathrm{LIABP}{\left(-1\right)}^{\ast }\ \left(\mathrm{DD}+\mathrm{DTS}\right)/\left(\mathrm{DD}\left(-1\right)+\mathrm{DTS}\left(-1\right)\right)+\mathrm{DIS}\_\mathrm{LIABP}\right) $$

(7.180)

$$ \mathrm{RLEND}=\mathrm{RLEND}\left(-1\right)+\left(\mathrm{RSH}-\mathrm{RSH}\left(-1\right)\right) $$

(7.181)

$$ \mathrm{RRLEND}=\mathrm{RLEND}-\mathrm{DLOG}{\left(\mathrm{CPI}\right)}^{\ast }\ 100 $$

(7.182)

$$ \mathrm{RLG}=\mathrm{RLG}\left(-1\right)+\left(\mathrm{RSH}-\mathrm{RSH}\left(-1\right)\right)+\mathrm{DIS}\_\mathrm{RLG} $$

(7.183)

$$ \mathrm{IRD}=\mathrm{IR}\_\mathrm{UK}\hbox{--} \mathrm{RLEND} $$

(7.184)

$$ \mathrm{RDEBT}=\mathrm{RDEBT}\left(-1\right)+\mathrm{RLEND}-\mathrm{RLEND}\left(-1\right) $$

(7.185)

$$ \mathrm{RRXD}=\left(\mathrm{RXD}/3.75\ast 100\right)\ast \left(\mathrm{CPI}\_\mathrm{USA}/\mathrm{CPI}\right) $$

(7.186)

$$ \mathrm{REER}={\mathrm{NEER}}^{\ast }\ \mathrm{CPI}/\mathrm{CPI}\_\mathrm{USA}+\mathrm{DIS}\_\mathrm{REER} $$

(7.187)

$$ \mathrm{REERE}=\mathrm{EXP}\left({1.28}^{\ast}\mathrm{LOG}\left(\left(\left(\mathrm{GVANOIL}/\mathrm{RXD}\right)/\left({\mathrm{POP}}^{\ast }10\hat{\mkern6mu} 3\right)\right)/\left(\mathrm{GDPPC}\_\mathrm{WLD}\right)\ast 100\right)+{0.20}^{\ast}\mathrm{LOG}\left(\left(\left(\mathrm{GVAOIL}/\mathrm{RXD}\right)/\left({\mathrm{POP}}^{\ast }10\hat{\mkern6mu} 3\right)\right)/\left(\mathrm{GDPPC}\_\mathrm{WLD}\right)\ast 100\right)-{0.24}^{\ast}\mathrm{LOG}\left(\mathrm{NFA}/\mathrm{GDP}\_{\mathrm{Z}}^{\ast }\ 100\right)+{0.68}^{\ast }\ \mathrm{LOG}\left(\mathrm{GC}\_\mathrm{Z}/\mathrm{GDP}\_{\mathrm{Z}}^{\ast }\ 100\right)-3.28\right) $$

(7.188)

$$ \mathrm{PRODDN}=\left(\left(\mathrm{GVANOIL}/\mathrm{RXD}\right)/\left({\mathrm{POP}}^{\ast }10\hat{\mkern6mu} 3\right)\right)/\left(\mathrm{GDPPC}\_\mathrm{WLD}\right)\ast 100 $$

(7.189)

$$ \mathrm{PRODDO}=\left(\left(\mathrm{GVAOIL}/\mathrm{RXD}\right)/\left({\mathrm{POP}}^{\ast }10\hat{\mkern6mu} 3\right)\right)/\left(\mathrm{GDPPC}\_\mathrm{WLD}\right)\ast 100 $$

(7.190)

7.4 External Block Equations and Identities

7.4.1 Exports Related Equations and Identities

$$ \mathrm{X}=\mathrm{XG}+\mathrm{XS}+\mathrm{DIS}\_\mathrm{X} $$

(7.191)

$$ \mathrm{XG}=\mathrm{XGNOIL}+\mathrm{XGOIL} $$

(7.192)

$$ \mathrm{LOG}\ \left(\mathrm{XGNOIL}\right)={\displaystyle \begin{array}{l}-{1.17}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{REER}\right)\\ {}+{0.82}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GDP}\_{\mathrm{MNA}}^{\ast }\ \mathrm{RXD}\right)\\ {}+\kern2px {1.08}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVANOIL}\right)-10.30\\ {}+\kern2px \mathrm{ECT}\_\mathrm{XGNOIL}\end{array}} $$

(7.193)

$$ \mathrm{LOG}\left(\mathrm{XOILREF}\right)={\displaystyle \begin{array}{l}{2.68}^{\ast }\ \mathrm{LOG}\left(\mathrm{WTREF}\right)+{1.49}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAOILREF}\right)\\ {}-\kern2px {0.18}^{\ast }\ \mathrm{LOG}\left(\mathrm{WPO}\_\mathrm{AL}\_\mathrm{R}\right)-20.52-{0.12}^{\ast }@\mathrm{TREND}\\ {}-\kern2px {0.21}^{\ast }\ \mathrm{DP}2001+\mathrm{ECT}\_\mathrm{XOILREF}\end{array}} $$

(7.194)

$$ \mathrm{WPO}\_\mathrm{AL}\_\mathrm{R}=\mathrm{WPO}\_\mathrm{AL}/\mathrm{CPI}\_{\mathrm{USA}}^{\ast }\ 100+\mathrm{DIS}\_\mathrm{WPO}\_\mathrm{AL}\_\mathrm{R} $$

(7.195)

$$ \mathrm{XGOIL}=\mathrm{XGOIL}\_\mathrm{Z}/{\mathrm{PGDPOIL}}^{\ast }\ 100 $$

(7.196)

$$ \mathrm{XGOIL}\_\mathrm{Z}=\mathrm{XGOIL}\$\_{\mathrm{Z}}^{\ast }\ \mathrm{RXD} $$

(7.197)

$$ \mathrm{XGOIL}\$\_\mathrm{Z}={\mathrm{XOILC}}^{\ast }\ {365}^{\ast }\ \mathrm{WPO}\_\mathrm{AL}+{\mathrm{XOILREF}}^{\ast }\ {1.2}^{\ast }\ \mathrm{WPO}\_\mathrm{AL}+\mathrm{DIS}\_\mathrm{XGOIL}\$\_\mathrm{Z} $$

(7.198)

$$ \mathrm{XOILC}=\mathrm{OILMBD}-\mathrm{OILUSE} $$

(7.199)

$$ \mathrm{XGNOIL}\_\mathrm{Z}={\mathrm{XGNOIL}}^{\ast }\ \mathrm{PGDPNOIL}/100 $$

(7.200)

$$ \mathrm{X}\_\mathrm{Z}={\mathrm{X}}^{\ast }\ \mathrm{PX}/100 $$

(7.201)

$$ \mathrm{X}\$\_\mathrm{Z}=\mathrm{XG}\$\_\mathrm{Z}+\mathrm{XS}\$\_\mathrm{Z} $$

(7.202)

$$ \mathrm{XG}\$\_\mathrm{Z}=\mathrm{XGOIL}\$\_\mathrm{Z}+\mathrm{XGNOIL}\$\_\mathrm{Z} $$

(7.203)

$$ \mathrm{XGNOIL}\$\_\mathrm{Z}=\mathrm{XGNOIL}\_\mathrm{Z}/\mathrm{RXD} $$

(7.204)

$$ \mathrm{XS}\$\_\mathrm{Z}=\mathrm{XS}\_\mathrm{Z}/\mathrm{RXD} $$

(7.205)

$$ \mathrm{XS}=\mathrm{XS}\_\mathrm{Z}/{\mathrm{PX}}^{\ast }\ 100 $$

(7.206)

$$ \mathrm{XS}\_\mathrm{Z}={\displaystyle \begin{array}{l}\Big(\mathrm{XSOIL}\_\mathrm{Z}+\mathrm{XSII}\_\mathrm{Z}+\mathrm{XSTRAN}\_\mathrm{Z}+\mathrm{XSTRAV}\_\mathrm{Z}\\ {}+\kern2px \mathrm{XSIP}\_\mathrm{Z}+\mathrm{XSFIN}\_\mathrm{Z}+\mathrm{XSCOM}\_\mathrm{Z}+\mathrm{XSOBS}\_\mathrm{Z}+\mathrm{XSGOV}\_\mathrm{Z}\Big)\end{array}} $$

(7.207)

7.4.2 Imports Related Equations and Identities

$$ \mathrm{M}=\mathrm{MG}+\mathrm{MS}+\mathrm{DIS}\_\mathrm{M} $$

(7.208)

$$ \mathrm{MG}=\mathrm{MGCAP}+\mathrm{MGCONS}+\mathrm{MGINTER}+\mathrm{DIS}\_\mathrm{MG} $$

(7.209)

$$ \mathrm{LOG}\left(\mathrm{MGCAP}\right)={\displaystyle \begin{array}{l}{1.03}^{\ast }\ \mathrm{LOG}\left(\mathrm{DOMD}\right)+{0.84}^{\ast }\ \mathrm{LOG}\left(\mathrm{NEER}\right)\\ {}-\kern2px {0.31}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDP}\_\mathrm{US}/\mathrm{PGDP}\right)-7.16\\ {}+\kern2px {0.37}^{\ast }\ \mathrm{DSH}2003-{0.15}^{\ast }\ \mathrm{DBT}2018+\mathrm{ECT}\_\mathrm{MGCAP}\end{array}} $$

(7.210)

$$ \mathrm{LOG}\left(\mathrm{MGCONS}\right)={\displaystyle \begin{array}{l}{0.86}^{\ast }\ \mathrm{LOG}\left(\mathrm{DOMD}\right)+{1.08}^{\ast }\ \mathrm{LOG}\left(\mathrm{REER}\right)-7.07\\ {}+\kern2px {0.02}^{\ast }@\mathrm{TREND}-0.12\ast \mathrm{DBT}2018+{0.32}^{\ast }\ \mathrm{DSH}2003\\ {}+\kern2px \mathrm{ECT}\_\mathrm{MGCONS}\end{array}} $$

(7.211)

$$ \mathrm{LOG}\left(\mathrm{MGINTER}\right)={\displaystyle \begin{array}{l}{2.56}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVANOIL}+\mathrm{GVAOIL}\right)\\ {}+\kern2px {0.56}^{\ast }\ \mathrm{LOG}\left(\mathrm{NEER}\right)-{0.86}^{\ast}\mathrm{LOG}\left(\mathrm{PGDP}\_\mathrm{US}/\mathrm{PGDP}\right)\\ {}-\kern2px 25.62-{0.04}^{\ast }@\mathrm{TREND}-{0.09}^{\ast }\ \mathrm{DBT}2018\\ {}-\kern2px {0.14}^{\ast }\ \mathrm{DSH}2010+\mathrm{ECT}\_\mathrm{MGINTER}\end{array}} $$

(7.212)

$$ \mathrm{MG}\_\mathrm{Z}=\mathrm{MGCAP}\_\mathrm{Z}+\mathrm{MGCONS}\_\mathrm{Z}+\mathrm{MGINTER}\_\mathrm{Z}+\mathrm{DIS}\_\mathrm{MG}\_\mathrm{Z} $$

(7.213)

$$ \mathrm{MGCAP}\_\mathrm{Z}={\mathrm{MGCAP}}^{\ast }\ \mathrm{PMG} $$

(7.214)

$$ \mathrm{MGCONS}\_\mathrm{Z}={\mathrm{MGCONS}}^{\ast }\ \mathrm{PMG} $$

(7.215)

$$ \mathrm{MGINTER}\_\mathrm{Z}={\mathrm{MGINTER}}^{\ast }\ \mathrm{PMG} $$

(7.216)

$$ \mathrm{LOG}\left(\mathrm{MS}\right)={0.44}^{\ast }\ \mathrm{LOG}\left(\mathrm{DOMD}\right)-{1.61}^{\ast }\ \mathrm{LOG}\left(\mathrm{RRXD}\right)+12.60+\mathrm{ECT}\_\mathrm{MS} $$

(7.217)

$$ \mathrm{MOILREF}=\mathrm{DOILREF}\_\mathrm{T}+{\mathrm{XOILREF}}^{\ast }\ 0.14-\mathrm{QOILREF}+\mathrm{DIS}\_\mathrm{MOILREF} $$

(7.218)

$$ \mathrm{M}\_\mathrm{Z}={\mathrm{M}}^{\ast }\ \mathrm{PM}/100 $$

(7.219)

7.4.3 Overall and Non-oil Trade Balance

$$ \mathrm{TB}=\mathrm{X}-\mathrm{M} $$

(7.220)

$$ \mathrm{TBNOIL}=\mathrm{XGNOIL}-\mathrm{M} $$

(7.221)

7.4.4 Other BOP Related Equations and Identities

$$ \mathrm{LOG}\left(100\ast \mathrm{REMOF}\ast \mathrm{RXD}/\mathrm{PGDP}\right)={\displaystyle \begin{array}{l}1.70\ast \mathrm{LOG}\ \left(\mathrm{GDP}\right)\\ {}+\kern2px 1.00\ast \mathrm{LOG}\ \left(\mathrm{ETNS}\right)\\ {}+\kern2px 1.43\ast \mathrm{LOG}\ \left(\mathrm{PGDP}\right)\\ {}-\kern2px 0.09\ast \mathrm{LOG}\left(\left(\mathrm{EXPL}/\mathrm{PGDP}\ast 100\right)+1\right)\\ {}+\kern2px \mathrm{ECT}\_\mathrm{REMOF}\end{array}} $$

(7.222)

$$ \mathrm{FDI}\$\mathrm{OUT}\_\mathrm{Z}=\mathrm{FDI}\$\mathrm{OUT}\_\mathrm{Z}{\left(-1\right)}^{\ast }\ \left(\mathrm{GDP}\$\_\mathrm{Z}/\mathrm{GDP}\$\_\mathrm{Z}\left(-1\right)\right)+\mathrm{DIS}\_\mathrm{FDI}\$\mathrm{OUT} $$

(7.223)

$$\begin{array}{lll} \mathrm{FDI}{\$}=\mathrm{FDI}{\$}\mathrm{IN}\_\mathrm{Z}-\mathrm{FDI}{\$}\mathrm{OUT}\_\mathrm{Z}+\mathrm{DIS}\_\mathrm{FDI}{\$}\end{array} $$

(7.224)

$$ {\displaystyle \begin{array}{l}\mathrm{WTOUR}=\left(\mathrm{WTOUR}{\left(-1\right)}^{\ast }\ \right(\mathrm{AA}{1}^{\ast }\ \mathrm{MS}\$\_\mathrm{ZAF}/\mathrm{MS}\$\_\mathrm{ZAF}\left(-1\right)+\\ {}\mathrm{AA}{2}^{\ast }\ \mathrm{MS}\$\_\mathrm{USA}/\mathrm{MS}\$\_\mathrm{USA}\left(-1\right)+\mathrm{AA}{3}^{\ast }\ \mathrm{MS}\$\_\mathrm{CAN}/\mathrm{MS}\$\_\mathrm{CAN}\left(-1\right)+\\ {}\mathrm{AA}{4}^{\ast }\ \left(\mathrm{MS}\$\_\mathrm{MEX}\right)/\left(\mathrm{MS}\$\_\mathrm{MEX}\left(-1\right)\right)+\mathrm{AA}{5}^{\ast }\ \mathrm{MS}\$\_\mathrm{JPN}/\mathrm{MS}\$\_\mathrm{JPN}\left(-1\right)+\\ {}\mathrm{AA}{6}^{\ast }\ \left(\mathrm{MS}\$\_\mathrm{TUR}\right)/\left(\mathrm{MS}\$\_\mathrm{TUR}\left(-1\right)\right)+\mathrm{AA}{7}^{\ast }\ \mathrm{MS}\$\_\mathrm{DEU}/\mathrm{MS}\$\_\mathrm{DEU}\left(-1\right)+\\ {}\mathrm{AA}{8}^{\ast}\mathrm{MS}\$\_\mathrm{FRA}/\mathrm{MS}\$\_\mathrm{FRA}\left(-1\right)+\mathrm{AA}{9}^{\ast }\ \mathrm{MS}\$\_\mathrm{ITA}/\mathrm{MS}\$\_\mathrm{ITA}\left(-1\right)+\\ {}\mathrm{AA}{10}^{\ast }\ \mathrm{MS}\$\_\mathrm{GBR}/\mathrm{MS}\$\_\mathrm{GBR}\left(-1\right)\left)\right)+\mathrm{DIS}\_\mathrm{WTOUR}\end{array}} $$

(7.225)

$$ \mathrm{WTREF}={100}^{\ast }\ \left(\mathrm{AB}{1}^{\ast }\ \mathrm{DOILREF}\_\mathrm{ARGENTIN}/\mathrm{AB}2+\mathrm{AB}{3}^{\ast }\ \mathrm{DOILREF}\_\mathrm{AUSTRALI}/\mathrm{AB}4+\mathrm{AB}{5}^{\ast }\ \mathrm{DOILREF}\_\mathrm{AUSTRIA}/\mathrm{AB}6+\mathrm{AB}{7}^{\ast }\ \mathrm{DOILREF}\_\mathrm{BELGIUM}/\mathrm{AB}8+\mathrm{AB}{9}^{\ast }\ \mathrm{DOILREF}\_\mathrm{BRAZIL}/\mathrm{AB}10+\mathrm{AB}{11}^{\ast }\ \mathrm{DOILREF}\_\mathrm{BULGARIA}/\mathrm{AB}12+\mathrm{AB}{13}^{\ast }\ \mathrm{DOILREF}\_\mathrm{CANADA}/\mathrm{AB}14+\mathrm{AB}{15}^{\ast }\ \mathrm{DOILREF}\_\mathrm{CHILE}/\mathrm{AB}16+\mathrm{AB}{17}^{\ast }\ \mathrm{DOILREF}\_\mathrm{CHINA}/\mathrm{AB}18+\mathrm{AB}{19}^{\ast }\ \mathrm{DOILREF}\_\mathrm{CROATIA}/\mathrm{AB}20+\mathrm{AB}{21}^{\ast }\ \mathrm{DOILREF}\_\mathrm{CZECH}/\mathrm{AB}22+\mathrm{AB}{23}^{\ast }\ \mathrm{DOILREF}\_\mathrm{DENMARK}/\mathrm{AB}24+\mathrm{AB}{25}^{\ast }\ \mathrm{DOILREF}\_\mathrm{FINLAND}/\mathrm{AB}26+\mathrm{AB}{27}^{\ast }\ \mathrm{DOILREF}\_\mathrm{FRANCE}/\mathrm{AB}28+\mathrm{AB}{29}^{\ast }\ \mathrm{DOILREF}\_\mathrm{GERMANY}/\mathrm{AB}30+\mathrm{AB}{31}^{\ast }\ \mathrm{DOILREF}\_\mathrm{GREECE}/\mathrm{AB}32+\mathrm{AB}{33}^{\ast }\ \mathrm{DOILREF}\_\mathrm{HK}/\mathrm{AB}34+\mathrm{AB}{35}^{\ast }\ \mathrm{DOILREF}\_\mathrm{HUNGARY}/\mathrm{AB}36+\mathrm{AB}{37}^{\ast }\ \mathrm{DOILREF}\_\mathrm{INDIA}/\mathrm{AB}38+\mathrm{AB}{39}^{\ast }\ \mathrm{DOILREF}\_\mathrm{INDONESI}/\mathrm{AB}40+\mathrm{AB}{41}^{\ast }\ \mathrm{DOILREF}\_\mathrm{IRELAND}/\mathrm{AB}42+\mathrm{AB}{43}^{\ast }\ \mathrm{DOILREF}\_\mathrm{ITALY}/\mathrm{AB}44+\mathrm{AB}{45}^{\ast }\ \mathrm{DOILREF}\_\mathrm{JAPAN}/\mathrm{AB}46+\mathrm{AB}{47}^{\ast }\ \mathrm{DOILREF}\_\mathrm{KOREA}/\mathrm{AB}48+\mathrm{AB}{49}^{\ast }\ \mathrm{DOILREF}\_\mathrm{MALAYSIA}/\mathrm{AB}50+\mathrm{AB}{51}^{\ast }\ \mathrm{DOILREF}\_\mathrm{MEXICO}/\mathrm{AB}52+\mathrm{AB}{53}^{\ast }\ \mathrm{DOILREF}\_\mathrm{NETH}/\mathrm{AB}54+\mathrm{AB}{55}^{\ast }\ \mathrm{DOILREF}\_\mathrm{NORWAY}/\mathrm{AB}56+\mathrm{AB}{57}^{\ast }\ \mathrm{DOILREF}\_\mathrm{PHILIPPI}/\mathrm{AB}58+\mathrm{AB}{59}^{\ast }\ \mathrm{DOILREF}\_\mathrm{POLAND}/\mathrm{AB}60+\mathrm{AB}{61}^{\ast }\ \mathrm{DOILREF}\_\mathrm{PORTUGAL}/\mathrm{AB}62+\mathrm{AB}{63}^{\ast }\ \mathrm{DOILREF}\_\mathrm{ROMANIA}/\mathrm{AB}64+\mathrm{AB}{65}^{\ast }\ \mathrm{DOILREF}\_\mathrm{RUSSIA}/\mathrm{AB}66+\mathrm{AB}{67}^{\ast }\ \mathrm{DOILREF}\_\mathrm{SAFRICA}/\mathrm{AB}68+\mathrm{AB}{69}^{\ast }\ \mathrm{DOILREF}\_\mathrm{SINGPORE}/\mathrm{AB}70+\mathrm{AB}{71}^{\ast }\ \mathrm{DOILREF}\_\mathrm{SLOVAKIA}/\mathrm{AB}72+\mathrm{AB}{73}^{\ast }\ \mathrm{DOILREF}\_\mathrm{SPAIN}/\mathrm{AB}74+\mathrm{AB}{75}^{\ast }\ \mathrm{DOILREF}\_\mathrm{SWEDEN}/\mathrm{AB}76+\mathrm{AB}{77}^{\ast }\ \mathrm{DOILREF}\_\mathrm{SWITZ}/\mathrm{AB}78+\mathrm{AB}{79}^{\ast }\ \mathrm{DOILREF}\_\mathrm{TAIWAN}/\mathrm{AB}80+\mathrm{AB}{81}^{\ast }\ \mathrm{DOILREF}\_\mathrm{THAILAND}/\mathrm{AB}82+\mathrm{AB}{83}^{\ast }\ \mathrm{DOILREF}\_\mathrm{TURKEY}/\mathrm{AB}84+\mathrm{AB}{85}^{\ast }\ \mathrm{DOILREF}\_\mathrm{UAEMOD}/\mathrm{AB}86+\mathrm{AB}{87}^{\ast }\ \mathrm{DOILREF}\_\mathrm{UK}/\mathrm{AB}88+\mathrm{AB}{89}^{\ast }\ \mathrm{DOILREF}\_\mathrm{US}/\mathrm{AB}90\right) $$

(7.226)

Here, the coefficients from AA1 to AA10 and from AB1 to AB90 are obtained from OEGEM. We do not report numerical values of them due to the data confidentiality issue.

7.5 Domestic Prices Block Equations and Identities

7.5.1 Consumer Prices

7.5.1.1 Equations for Sectoral CPI

$$ \mathrm{LOG}\ \left(\mathrm{CPIU}\right)={\displaystyle \begin{array}{l}{0.44}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPREAL}\right)+{0.13}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PE}\_\mathrm{RES}\right)\\ {}+{0.69}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPSER}\right)-1.47-{0.20}^{\ast }\ \mathrm{DP}2018\\ {}-{0.26}^{\ast }\ \mathrm{DP}2019+\mathrm{LOG}\ \left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)+\mathrm{ECT}\_\mathrm{CPIU}\end{array}} $$

(7.227)

$$ \mathrm{LOG}\ \left(\mathrm{CPIFOOD}\right)={\displaystyle \begin{array}{l}{1.67}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPAGR}\right)+{0.50}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PMG}\right)\\ {}+{0.16}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{WDIS}\right)+{0.08}^{\ast}\mathrm{LOG}\ \left(\mathrm{PELE}\_\mathrm{COMM}\right)\\ {}-\kern2px 7.55+\mathrm{LOG}\ \left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)+\mathrm{ECT}\_\mathrm{CPIFOOD}\end{array}} $$

(7.228)

$$ \mathrm{LOG}\ \left(\mathrm{CPITRA}\right)={\displaystyle \begin{array}{l}{0.18}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{WSER}\right)+{0.19}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PE}\_\mathrm{TRACOM}\right)\\ {}+\kern2px {0.30}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PMG}\right)+0.25+\mathrm{LOG}\left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)\\ {}+\mathrm{ECT}\_\mathrm{CPITRA}\_\mathrm{ULC}\end{array}} $$

(7.229)

$$ \mathrm{LOG}\ \left(\mathrm{CPIHH}\right)={\displaystyle \begin{array}{l}{0.21}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{WDIS}\right)+{0.71}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPMANNO}\right)\\ {}+\kern2px {0.25}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PM}\right)-1.20-{0.01}^{\ast }@\mathrm{TREND}\\ {}-\kern2px {0.08}^{\ast }\ \mathrm{DP}2008+\mathrm{LOG}\ \left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)\\ {}+\mathrm{ECT}\_\mathrm{CPIHH}\_\mathrm{ULC}\end{array}} $$

(7.230)

$$ \mathrm{LOG}\ \left(\mathrm{CPICOMM}\right)={\displaystyle \begin{array}{l}{0.25}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{WTRACOM}\right)+{0.57}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPTRACOM}\right)\\ {}+\kern2px {0.49}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PM}\right)-{0.03}^{\ast}\left(@\mathrm{TREND}\right)\\ {}+\mathrm{LOG}\ \left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)+\kern2px \mathrm{ECT}\_\mathrm{CPICOM}\_\mathrm{ULC}\end{array}} $$

(7.231)

$$ \mathrm{LOG}\ \left(\mathrm{CPIHTL}\right)=1.36+{0.63}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPDIS}\right)+{0.06}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PMS}\right)+\mathrm{LOG}\ \left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)+\mathrm{ECT}\_\mathrm{CPIHTL}\_\mathrm{ULC} $$

(7.232)

$$ \mathrm{LOG}\ \left(\mathrm{CPICLOTH}\right)={\displaystyle \begin{array}{l}{0.50}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPMANNO}\right)+{0.16}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PM}\right)\\ {}+\kern2px {0.14}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{WDIS}\right)-{0.02}^{\ast }@\mathrm{TREND}\\ {}+\kern2px {0.09}^{\ast }\ \mathrm{DP}2016+1.58+\mathrm{LOG}\ \left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)\\ {}+\mathrm{ECT}\_\mathrm{CPICLOTH}\_\mathrm{ULC}\end{array}} $$

(7.233)

$$ \mathrm{LOG}\ \left(\mathrm{CPIMISC}\right)={\displaystyle \begin{array}{l}{0.52}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPMANNO}\right)+{0.34}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPSER}\right)\\ {}+\kern2px {0.21}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PMG}\right)-0.07-{0.004}^{\ast }@\mathrm{TREND}\\ {}+\mathrm{LOG}\left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)+\kern2px \mathrm{ECT}\_\mathrm{CPIMISC}\_\mathrm{ULC}\end{array}} $$

(7.234)

$$ \mathrm{LOG}\ \left(\mathrm{CPIEDU}\right)={\displaystyle \begin{array}{l}{0.12}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{W}\right)+{0.24}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPSER}\right)\\ {}+\kern2px {0.05}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PMS}\right)+2.13+\mathrm{LOG}\ \left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)\\ {}+\mathrm{ECT}\_\mathrm{CPIEDU}\_\mathrm{ULC}\end{array}} $$

(7.235)

$$ \mathrm{LOG}\ \left(\mathrm{CPIART}\right)={\displaystyle \begin{array}{l}{0.60}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPSER}\right)+{0.51}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{WSER}\right)\\ {}+\kern2px {0.55}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PM}\right)-{0.05}^{\ast}\left(@\mathrm{TREND}\right)\\ {}+\mathrm{LOG}\left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)+\kern2px \mathrm{ECT}\_\mathrm{CPIART}\_\mathrm{ULC}\end{array}} $$

(7.236)

$$ \mathrm{LOG}\ \left(\mathrm{CPIHEAL}\right)={\displaystyle \begin{array}{l}{0.16}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPSER}\right)+{0.09}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PMS}\right)+3.45\\ {}+\kern2px {0.05}^{\ast }\ \mathrm{DP}2003+0.05\ast \mathrm{DB}1617+\mathrm{LOG}\left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)\\ {}+\mathrm{ECT}\_\mathrm{CPIHEAL}\_\mathrm{ULC}\end{array}} $$

(7.237)

$$ {\displaystyle \begin{array}{l}\mathrm{LOG}\ \left(\mathrm{CPITOBC}\right)={1.61}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PGDPMANNO}\right)+{0.71}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{WDIS}\right)+{0.15}^{\ast}\;\\ {}\mathrm{LOG}\ \left(\mathrm{PELE}\_\mathrm{COMM}\right)+{0.01}^{\ast }\ \left(@\mathrm{TREND}\right)+\mathrm{LOG}\ \left(\left(\mathrm{VAT}\_\mathrm{RATE}+100\right)/100\right)\\ {}+\mathrm{ECT}\_\mathrm{CPITOBC}\_\mathrm{ULC}\end{array}} $$

(7.238)

7.5.1.2 Identity for Total CPI

$$ \mathrm{CPI}={\displaystyle \begin{array}{l}\mathrm{CPIU}\_{\mathrm{W}}^{\ast }\ \mathrm{CPIU}+\mathrm{CPIFOOD}\_{\mathrm{W}}^{\ast }\ \mathrm{CPIFOOD}\\ {}+\kern2px \mathrm{CPITRA}\_{\mathrm{W}}^{\ast }\ \mathrm{CPITRA}+\mathrm{CPIHH}\_{\mathrm{W}}^{\ast}\mathrm{CPIHH}\\ {}+\kern2px \mathrm{CPICOMM}\_{\mathrm{W}}^{\ast }\ \mathrm{CPICOMM}+\mathrm{CPIHTL}\_{\mathrm{W}}^{\ast }\ \mathrm{CPIHTL}\\ {}+\kern2px \mathrm{CPICLOTH}\_{\mathrm{W}}^{\ast }\ \mathrm{CPICLOTH}+\mathrm{CPIMISC}\_{\mathrm{W}}^{\ast }\ \mathrm{CPIMISC}\\ {}+\kern2px \mathrm{CPIEDU}\_{\mathrm{W}}^{\ast }\ \mathrm{CPIEDU}+\mathrm{CPIART}\_{\mathrm{W}}^{\ast }\ \mathrm{CPIART}\\ {}+\kern2px \mathrm{CPIHEAL}\_{\mathrm{W}}^{\ast}\mathrm{CPIHEAL}+\mathrm{CPITOBC}\_{\mathrm{W}}^{\ast }\ \mathrm{CPITOBC}\\ {}+\kern2px \mathrm{DIS}\_\mathrm{CPI}\end{array}} $$

(7.239)

7.5.2 Producer Prices

7.5.2.1 Equations for Sectoral Producer Prices

$$ \mathrm{LOG}\left(\mathrm{PGDPAGR}\right)={\displaystyle \begin{array}{l}{0.05}^{\ast }\ \mathrm{LOG}\left(\mathrm{WAGR}\right)+{0.24}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{AGR}\right)\\ {}+\kern2px {0.34}^{\ast }\ \mathrm{LOG}\left(\mathrm{PMG}\right)+0.82+{0.09}^{\ast }\ \mathrm{DP}2017\\ {}+\kern2px \mathrm{ECT}\_\mathrm{PGDPAGR}\end{array}} $$

(7.240)

$$ \mathrm{LOG}\left(\mathrm{PGDPCON}\right)={\displaystyle \begin{array}{l}{0.09}^{\ast }\ \mathrm{LOG}\left(\mathrm{ULCCON}\right)+{0.09}^{\ast }\ \mathrm{LOG}\left(\mathrm{PE}\_\mathrm{CON}\right)\\ {}+\kern2px {0.59}^{\ast }\ \mathrm{LOG}\left(\mathrm{PM}\right)+0.20+{0.01}^{\ast }@\mathrm{TREND}\\ {}+\kern2px \mathrm{ECT}\_\mathrm{PGDPCON}\end{array}} $$

(7.241)

$$ \mathrm{LOG}\left(\mathrm{PGDPDIS}\right)={\displaystyle \begin{array}{l}{0.22}^{\ast }\ \mathrm{LOG}\left(\mathrm{WDIS}\right)+{0.50}^{\ast }\ \mathrm{LOG}\left(\mathrm{PMG}\right)-0.67\\ {}+\kern2px {0.01}^{\ast }@\mathrm{TREND}+{0.16}^{\ast}\mathrm{DP}2017+\mathrm{ECT}\_\mathrm{PGDPDIS}\end{array}} $$

(7.242)

$$ \mathrm{LOG}\left(\mathrm{PGDPFIBU}\right)={\displaystyle \begin{array}{l}{0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{ULCFIBU}\right)+{0.63}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{COMM}\right)\\ {}+\kern2px {0.51}^{\ast }\ \mathrm{LOG}\left(\mathrm{PMG}\right)-3.08+\mathrm{ECT}\_\mathrm{PGDPFIBU}\end{array}} $$

(7.243)

$$ \mathrm{LOG}\left(\mathrm{PGDPGOV}\right)={\displaystyle \begin{array}{l}{0.30}^{\ast }\ \mathrm{LOG}\left(\mathrm{ULCGOV}\right)+{0.12}^{\ast }\ \mathrm{LOG}\left(\mathrm{PE}\_\mathrm{GOV}\right)\\ {}+\kern2px {1.74}^{\ast }\ \mathrm{LOG}\left(\mathrm{PM}\right)-5.65+\mathrm{ECT}\_\mathrm{PGDPGOV}\end{array}} $$

(7.244)

$$ \mathrm{LOG}\left(\mathrm{PGDPMANNO}\right)={\displaystyle \begin{array}{l}{0.04}^{\ast }\ \mathrm{LOG}\left(\mathrm{WMAN}\right)+{0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{PE}\_\mathrm{MANNO}\right)\\ {}+\kern2px {0.97}^{\ast }\ \mathrm{LOG}\left(\mathrm{PM}\right)-1.08+\mathrm{ECT}\_\mathrm{PGDPMANNO}\end{array}} $$

(7.245)

$$ \mathrm{LOG}\left(\mathrm{PGDPOIL}\mathrm{REF}\right)={\displaystyle \begin{array}{l}{0.11}^{\ast }\ \mathrm{LOG}\left(\mathrm{ULCOILREF}\right)\\ {}+\kern2px {0.69}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDPOIL}\right)+{0.75}^{\ast}\mathrm{LOG}\left(\mathrm{PCOIL}\_\mathrm{IND}\right)\\ {}-\kern2px 2.52+\mathrm{ECT}\_\mathrm{PGDPOILREF}\end{array}} $$

(7.246)

$$ \mathrm{LOG}\left(\mathrm{PGDPOTHS}\right)={\displaystyle \begin{array}{l}{0.12}^{\ast }\ \mathrm{LOG}\left(\mathrm{ULCSER}\right)+{0.04}^{\ast }\ \mathrm{LOG}\left(\mathrm{PE}\_\mathrm{OTHS}\right)\\ {}+\kern2px {0.62}^{\ast }\ \mathrm{LOG}\left(\mathrm{PM}\right)+0.96+\mathrm{ECT}\_\mathrm{PGDPOTHS}\end{array}} $$

(7.247)

$$ \mathrm{LOG}\left(\mathrm{PGDPTRACOM}\right)={\displaystyle \begin{array}{l}{0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{ULCTRACOM}\right)\\ {}+\kern2px {0.07}^{\ast }\ \mathrm{LOG}\left(\mathrm{PE}\_\mathrm{TRACOM}\right)+{0.32}^{\ast}\mathrm{LOG}\left(\mathrm{PM}\right)\\ {}+\kern2px 2.04+\mathrm{ECT}\_\mathrm{PGDPTRACOM}\end{array}} $$

(7.248)

$$ \mathrm{LOG}\left(\mathrm{PGDPSER}\right)={\displaystyle \begin{array}{l}{0.07}^{\ast }\ \mathrm{LOG}\left(\mathrm{WSER}\right)+{0.75}^{\ast }\ \mathrm{LOG}\left(\mathrm{PM}\right)\\ {}+\kern2px {0.12}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{COMM}\right)-1.27+{0.01}^{\ast }@\mathrm{TREND}\\ {}-\kern2px {0.06}^{\ast }\ \mathrm{DP}2008+\mathrm{ECT}\_\mathrm{PGDPSER}\end{array}} $$

(7.249)

$$ \mathrm{LOG}\left(\mathrm{PGDPU}\right)={\displaystyle \begin{array}{l}{0.22}^{\ast }\ \mathrm{LOG}\left(\mathrm{ULCU}\right)+{0.80}^{\ast }\ \mathrm{LOG}\left(\mathrm{PE}\_\mathrm{U}\right)\\ {}+\kern2px {0.92}^{\ast }\ \mathrm{LOG}\left(\mathrm{PMG}\right)-4.73-{0.20}^{\ast}\mathrm{DP}2008+\mathrm{ECT}\_\mathrm{PGDPU}\end{array}} $$

(7.250)

7.5.2.2 Identities for Producer Prices

$$ \mathrm{PGDP}={\displaystyle \begin{array}{l}{\left(\mathrm{GVANOIL}/\mathrm{GDP}\right)}^{\ast }\ \mathrm{PGDPNOIL}+{\left(\mathrm{GVAOIL}/\mathrm{GDP}\right)}^{\ast }\ \mathrm{PGDPOIL}\\ {}+\kern2px {\left(\mathrm{GVANIT}/\mathrm{GDP}\right)}^{\ast}\mathrm{PGDPNIT}+\mathrm{DIS}\_\mathrm{PGDP}\end{array}} $$

(7.251)

$$ \mathrm{PGDPNOIL}={\displaystyle \begin{array}{l}{\left(\mathrm{GVAAGR}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPAGR}\\ {}+{\left(\mathrm{GVAMINOTH}/\mathrm{GVANOIL}\right)}^{\ast}\mathrm{PGDPMINOTH}\\ {}+\kern2px {\left(\mathrm{GVAMANNO}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPMANNO}\\ {}+\kern2px {\left(\mathrm{GVAU}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPU}\\ {}+{\left(\mathrm{GVACON}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPCON}\\ {}+{\left(\mathrm{GVADIS}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPDIS}\\ {}+\kern2px {\left(\mathrm{GVATRACOM}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPTRACOM}\\ {}+\kern2px {\left(\mathrm{GVAFIBU}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPFIBU}\\ {}+{\left(\mathrm{GVAOTHS}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPOTHS}\\ {}+\kern2px {\left(\mathrm{GVAGOV}/\mathrm{GVANOIL}\right)}^{\ast }\ \mathrm{PGDPGOV}+\mathrm{DIS}\_\mathrm{PGDPNOIL}\end{array}} $$

(7.252)

7.5.2.3 Identities for Aggregated Energy Prices

$$ \mathrm{PE}\_\mathrm{AGR}={\displaystyle \begin{array}{l}\left(\mathrm{DELE}\_\mathrm{AGR}/\right(\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DGAS}\_\mathrm{TRA}+\mathrm{DDIS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PELE}\_\mathrm{AGR}\\ {}+\left(\mathrm{DGAS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PGAS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DDIS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PDIS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DKER}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PKER}\_\mathrm{TRA}\end{array}} $$

(7.253)

$$ \mathrm{PE}\_\mathrm{CON}=\left(\mathrm{DGAS}\_\mathrm{TRA}/\left(\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{TRA}+\kern2px \mathrm{DELE}\_\mathrm{COMM}\right)\right)\ast \kern0.33em \mathrm{PGAS}\_\mathrm{TRA}+{\left(\mathrm{DDIS}\_\mathrm{TRA}/\left(\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{TRA}+\kern2px \mathrm{DELE}\_\mathrm{COMM}\right)\right)}^{\ast}\kern0.33em \mathrm{PDIS}\_\mathrm{TRA}+{\left(\mathrm{DKER}\_\mathrm{TRA}/\left(\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{TRA}+\kern2px \mathrm{DELE}\_\mathrm{COMM}\right)\right)}^{\ast}\kern0.33em \mathrm{PKER}\_\mathrm{TRA}+\left(\mathrm{DELE}\_\mathrm{COMM}/\left(\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{TRA}+\kern2px \mathrm{DELE}\_\mathrm{COMM}\right)\right)\ast \mathrm{PE}\mathrm{LE}\_\mathrm{COMM} $$

(7.254)

$$ \mathrm{PE}\_\mathrm{DIS}={\left(\mathrm{DELE}\_\mathrm{COMM}/\left(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}+\mathrm{DDIS}\_\mathrm{TRA}\right)\right)}^{\ast}\mathrm{PELE}\_\mathrm{COMM}+{\left(\mathrm{DGAS}\_\mathrm{TRA}/\left(\ \mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}+\mathrm{DDIS}\_\mathrm{TRA}\right)\right)}^{\ast}\mathrm{PGAS}\_\mathrm{TRA}+{\left(\mathrm{DDIS}\_\mathrm{TRA}/\left(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}+\mathrm{DDIS}\_\mathrm{TRA}\right)\right)}^{\ast}\mathrm{PDIS}\_\mathrm{TRA} $$

(7.255)

$$ \mathrm{PE}\_\mathrm{FIBU}={\displaystyle \begin{array}{l}\left(\mathrm{DELE}\_\mathrm{COMM}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PELE}\_\mathrm{COMM}\\ {}+\left(\mathrm{DGAS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PGAS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DDIS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PDIS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DKER}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PKER}\_\mathrm{TRA}\end{array}} $$

(7.256)

$$ \mathrm{PE}\_\mathrm{GOV}={\displaystyle \begin{array}{l}\left(\mathrm{DELE}\_\mathrm{GOV}/\right(\mathrm{DELE}\_\mathrm{GOV}+\mathrm{DGAS}\_\mathrm{TRA}+\mathrm{DDIS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PELE}\_\mathrm{GOV}\\ {}+\left(\mathrm{DGAS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{GOV}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PGAS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DDIS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{GOV}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PDIS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DKER}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{GOV}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PKER}\_\mathrm{TRA}\end{array}} $$

(7.257)

$$ \mathrm{PE}\_\mathrm{OTHS}={\displaystyle \begin{array}{l}\left(\mathrm{DELE}\_\mathrm{COMM}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PELE}\_\mathrm{COMM}\\ {}+\left(\mathrm{DGAS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PGAS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DDIS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PDIS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DKER}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PKER}\_\mathrm{TRA}\end{array}} $$

(7.258)

$$ \mathrm{PE}\_\mathrm{TRA}\mathrm{COM}={\displaystyle \begin{array}{l}\left(\mathrm{DELE}\_\mathrm{COMM}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PELE}\_\mathrm{COMM}\\ {}+\left(\mathrm{DGAS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PGAS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DDIS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PDIS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DKER}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PKER}\_\mathrm{TRA}\end{array}} $$

(7.259)

$$ \mathrm{PE}\_\mathrm{U}={\displaystyle \begin{array}{l}{\left(\mathrm{DNGA}\_\mathrm{U}/\left(\mathrm{DNGA}\_\mathrm{U}+\mathrm{DCOIL}\_\mathrm{U}+\mathrm{DDIS}\_\mathrm{U}+\mathrm{DHFO}\_\mathrm{U}\right)\right)}^{\ast }\ \\ {}\mathrm{PNGA}\_\mathrm{IND}+\left(\mathrm{DCOIL}\_\mathrm{U}/\right(\mathrm{DNGA}\_\mathrm{U}+\mathrm{DCOIL}\_\mathrm{U}+\mathrm{DDIS}\_\mathrm{U}\\ {}+\kern2px \mathrm{DHFO}\_\mathrm{U}\left)\right){}^{\ast }\ \mathrm{PCOIL}\_\mathrm{IND}+\left(\mathrm{DDIS}\_\mathrm{U}/\right(\ \mathrm{DNGA}\_\mathrm{U}\\ {}+\kern2px \mathrm{DCOIL}\_\mathrm{U}+\mathrm{DDIS}\_\mathrm{U}+\mathrm{DHFO}\_\mathrm{U}\left)\right){}^{\ast }\ \mathrm{PDIS}\_\mathrm{IND}\\ {}+\left(\mathrm{DHFO}\_\mathrm{U}/\right(\mathrm{DNGA}\_\mathrm{U}+\mathrm{DCOIL}\_\mathrm{U}+\mathrm{DDIS}\_\mathrm{U}\\ {}+\kern2px \mathrm{DHFO}\_\mathrm{U}\left)\right){}^{\ast }\ \mathrm{PHFO}\_\mathrm{IND}\end{array}} $$

(7.260)

$$ \mathrm{PE}\_\mathrm{MANNO}={\left(\mathrm{DNGA}\_\mathrm{IND}/\left(\mathrm{DNGA}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DHFO}\_\mathrm{IND}+\mathrm{DDIS}\_\mathrm{IND}+\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{IND}+\mathrm{DOTH}\_\mathrm{IND}\right)\right)}^{\ast }\ \mathrm{PNGA}\_\mathrm{IND}+{\left(\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}/\left(\mathrm{DNGA}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DHFO}\_\mathrm{IND}+\mathrm{DDIS}\_\mathrm{IND}+\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{IND}+\mathrm{DOTH}\_\mathrm{IND}\right)\right)}^{\ast}\mathrm{PNGA}\_\mathrm{IND}+{\left(\mathrm{DDIS}\_\mathrm{IND}/\left(\mathrm{DNGA}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DHFO}\_\mathrm{IND}+\mathrm{DDIS}\_\mathrm{IND}+\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{IND}+\mathrm{DOTH}\_\mathrm{IND}\right)\right)}^{\ast }\ \mathrm{PDIS}\_\mathrm{IND}+{\left(\mathrm{DHFO}\_\mathrm{IND}/\left(\ \mathrm{DNGA}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DHFO}\_\mathrm{IND}+\mathrm{DDIS}\_\mathrm{IND}+\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{IND}+\mathrm{DOTH}\_\mathrm{IND}\right)\right)}^{\ast}\mathrm{PHFO}\_\mathrm{IND}+{\left(\mathrm{DCOIL}\_\mathrm{IND}/\left(\mathrm{DNGA}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DHFO}\_\mathrm{IND}+\mathrm{DDIS}\_\mathrm{IND}+\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{IND}+\mathrm{DOTH}\_\mathrm{IND}\right)\right)}^{\ast }\ \mathrm{PCOIL}\_\mathrm{IND}+{\left(\mathrm{DELE}\_\mathrm{IND}/\left(\mathrm{DNGA}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DHFO}\_\mathrm{IND}+\mathrm{DDIS}\_\mathrm{IND}+\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{IND}+\mathrm{DOTH}\_\mathrm{IND}\right)\right)}^{\ast}\mathrm{PELE}\_\mathrm{IND}+{\left(\mathrm{DOTH}\_\mathrm{IND}/\left(\mathrm{DNGA}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DHFO}\_\mathrm{IND}+\mathrm{DDIS}\_\mathrm{IND}+\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{IND}+\mathrm{DOTH}\_\mathrm{IND}\right)\right)}^{\ast }\ \mathrm{POTH}\_\mathrm{IND} $$

(7.261)

$$ \mathrm{PE}\_\mathrm{OILREF}={\displaystyle \begin{array}{l}\left(\mathrm{DCOIL}\_\mathrm{IND}/\right(\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{EOU}\\ {}+\kern2px \mathrm{DNGA}\_\mathrm{EOU}\left)\right){}^{\ast }\ \mathrm{PCOIL}\_\mathrm{IND}\\ {}+\left(\mathrm{DELE}\_\mathrm{EOU}/\right(\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{EOU}\\ {}+\kern2px \mathrm{DNGA}\_\mathrm{EOU}\left)\right){}^{\ast }\ \mathrm{PELE}\_\mathrm{IND}\\ {}+\left(\mathrm{DNGA}\_\mathrm{EOU}/\right(\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{EOU}\\ {}+\kern2px \mathrm{DNGA}\_\mathrm{EOU}\left)\right){}^{\ast }\ \mathrm{PNGA}\_\mathrm{IND}\end{array}} $$

(7.262)

$$ \mathrm{PE}\_\mathrm{AGR}={\displaystyle \begin{array}{l}\left(\mathrm{DELE}\_\mathrm{AGR}/\right(\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DGAS}\_\mathrm{TRA}+\mathrm{DDIS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PELE}\_\mathrm{AGR}\\ {}+\left(\mathrm{DGAS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PGAS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DDIS}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PDIS}\_\mathrm{TRA}\\ {}+\left(\mathrm{DKER}\_\mathrm{TRA}/\right(\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DGAS}\_\mathrm{TRA}\\ {}+\kern2px \mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA}\left)\right){}^{\ast}\mathrm{PKER}\_\mathrm{TRA}\end{array}} $$

(7.263)

7.6 Labor and Wages Block Equations and Identities

7.6.1 Equations for Sectorial Employment

$$ \mathrm{LOG}\ \left(\mathrm{ETAGR}\right)={\displaystyle \begin{array}{l}{0.92}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVAAGR}\right)-{0.86}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{WAGR}/{\mathrm{PGDPAGR}}^{\ast }\ 100\right)\\ {}+\kern2px 1.36+{0.04}^{\ast }@\mathrm{TREND}+{0.18}^{\ast }\ \mathrm{DP}2018\\ {}+\kern2px \mathrm{ECT}\_\mathrm{ETAGR}\end{array}} $$

(7.264)

$$ \mathrm{LOG}\left(\mathrm{ETCON}\right)={\displaystyle \begin{array}{l}{0.94}^{\ast }\ \left(\mathrm{GVACON}\right)-{0.21}^{\ast }\ \mathrm{LOG}\left(\mathrm{WCON}/{\mathrm{PGDPCON}}^{\ast }\ 100\right)\\ {}-\kern2px 1.68-0.24\ast \mathrm{DP}200708+\mathrm{ECT}\_\mathrm{ETCON}\end{array}} $$

(7.265)

$$ \mathrm{LOG}\left(\mathrm{ETDIS}\right)={\displaystyle \begin{array}{l}{0.13}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVADIS}\right)-{0.72}^{\ast }\ \mathrm{LOG}\left(\mathrm{WDIS}/{\mathrm{PGDPDIS}}^{\ast }\ 100\right)\\ {}+\kern2px 12.87+{0.13}^{\ast}\mathrm{DBT}2016-{0.13}^{\ast }\ \mathrm{DP}2003+\mathrm{ECT}\_\mathrm{ETDIS}\end{array}} $$

(7.266)

$$ \mathrm{LOG}\left(\mathrm{ETFIBU}\right)={\displaystyle \begin{array}{l}{0.93}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAFIBU}\right)\\ {}-{0.16}^{\ast }\ \mathrm{LOG}\left(\mathrm{WFIBU}/{\mathrm{PGDPFIBU}}^{\ast }\ 100\right)\\ {}-\kern2px 3.50-0.35\ast \mathrm{DP}201314+{0.38}^{\ast }\ \mathrm{DP}201718\\ {}+\kern2px \mathrm{ECT}\_\mathrm{ETFIBU}\end{array}} $$

(7.267)

$$ \mathrm{LOG}\ \left(\mathrm{ETGOV}\right)={\displaystyle \begin{array}{l}{1.12}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVAGOV}\right)\\ {}-{0.14}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GWSA}\_\mathrm{Z}/{\mathrm{PGDPGOV}}^{\ast }\ 100\right)\\ {}-\kern2px 5.42+\mathrm{ECT}\_\mathrm{ETGOV}\end{array}} $$

(7.268)

$$ \mathrm{LOG}\left(\mathrm{ETMANNO}\right)={\displaystyle \begin{array}{l}{0.74}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMANNO}\right)\\ {}+{0.13}^{\ast }\ \mathrm{LOG}\left({\mathrm{WMAN}}^{\ast }\ 100/\mathrm{PGDPMAN}\right)\\ {}-\kern2px 6.21-{0.36}^{\ast }\ \mathrm{DP}2010+\mathrm{ECT}\_\mathrm{ETMANNO}\end{array}} $$

(7.269)

$$ \mathrm{LOG}\left(\mathrm{ETMINOTH}\right)={\displaystyle \begin{array}{l}{0.28}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMINOTH}\right)\\ {}-\kern2px {0.58}^{\ast }\ \mathrm{LOG}\left(\mathrm{WMIN}/{\mathrm{PGDPMINOTH}}^{\ast }\ 100\right)+9.21\\ {}-\kern2px {0.15}^{\ast }\ \mathrm{DP}2009+{0.19}^{\ast }\ \mathrm{DP}2014+\mathrm{ECT}\_\mathrm{ETMINOTH}\end{array}} $$

(7.270)

$$ \mathrm{LOG}\left(\mathrm{ETOTHS}\right)={\displaystyle \begin{array}{l}{1.00}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAOTHS}\right)\\ {}-{0.53}^{\ast }\ \mathrm{LOG}\left(\mathrm{W}\_\mathrm{CEIC}/{\mathrm{PGDPOTHS}}^{\ast }\ 100\right)\\ {}+\kern2px 1.94+{0.16}^{\ast }\ \mathrm{DP}2014-{0.09}^{\ast }\ \mathrm{DP}2009+\mathrm{ECT}\_\mathrm{ETOTHS}\end{array}} $$

(7.271)

$$ \mathrm{LOG}\left(\mathrm{ETPETCH}\right)={\displaystyle \begin{array}{l}{1.65}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAPETCH}\right)-{1.21}^{\ast }\ \mathrm{LOG}\left(\mathrm{WPETCH}\right)\\ {}-\kern2px 3.85+{0.05}^{\ast }@\mathrm{TREND}+\mathrm{ECT}\_\mathrm{ETPETCH}\end{array}} $$

(7.272)

$$ \mathrm{LOG}\left(\mathrm{ETTRACOM}\right)={\displaystyle \begin{array}{l}{0.47}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVATRACOM}\right)\\ {}-\kern2px {0.54}^{\ast }\ \mathrm{LOG}\left(\mathrm{WTRACOM}/{\mathrm{PGDPTRACOM}}^{\ast }\ 100\right)\\ {}-\kern2px 6.29+\mathrm{ECT}\_\mathrm{ETTRACOM}\end{array}} $$

(7.273)

$$ \mathrm{LOG}\left(\mathrm{ETU}\right)={0.42}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAU}\right)-{0.48}^{\ast }\ \mathrm{LOG}\left(\mathrm{WU}/{\mathrm{PGDPU}}^{\ast }\ 100\right)+5.63+\mathrm{ECT}\_\mathrm{ETU} $$

(7.274)

7.6.1.1 Identities for Labor Market

$$ \mathrm{ET}=\mathrm{ETNOIL}+\mathrm{ETOIL}+\mathrm{DIS}\_\mathrm{ET} $$

(7.275)

$$ \mathrm{ETNOIL}={\displaystyle \begin{array}{l}\mathrm{ETAGR}+\mathrm{ETCON}+\mathrm{ETDIS}+\mathrm{ETFIBU}+\mathrm{ETGOV}\\ {}+\kern2px \mathrm{ETMANNO}+\mathrm{ETPETCH}+\mathrm{ETMINOTH}+\mathrm{ETOTHS}\\ {}+\kern2px \mathrm{ETTRACOM}+\mathrm{ETU}+\mathrm{DIS}\_\mathrm{ETNOIL}\end{array}} $$

(7.276)

$$ \mathrm{ETOIL}=\mathrm{ETOILREF}+\mathrm{ETOILMIN} $$

(7.277)

$$ \mathrm{ETMIN}=\mathrm{ETMINOTH}+\mathrm{ETOILMIN} $$

(7.278)

$$ \mathrm{ETP}=\mathrm{ETPS}+\mathrm{ETPNS} $$

(7.279)

$$ \mathrm{ETSER}=\mathrm{ETDIS}+\mathrm{ETTRACOM}+\mathrm{ETFIBU}+\mathrm{ETOTHS}+\mathrm{ETGOV} $$

(7.280)

$$ \mathrm{LF}=\mathrm{PART}/{100.00}^{\ast }\ \left(\mathrm{POPS}+\mathrm{POPNS}-\mathrm{POP}014\right)+\mathrm{DIS}\_\mathrm{LF} $$

(7.281)

$$ \mathrm{U}=\mathrm{LF}-\mathrm{ET}+\mathrm{DIS}\_\mathrm{U} $$

(7.282)

$$ \mathrm{UR}=\mathrm{U}/{\mathrm{LF}}^{\ast }\ 100 $$

(7.283)

$$ \mathrm{UR}\_\mathrm{C}=\mathrm{UR}-\mathrm{UR}\_\mathrm{N} $$

(7.284)

7.6.2 Equations for Sectoral Wages

$$ \mathrm{LOG}\left(\mathrm{WAGR}\right)={\displaystyle \begin{array}{l}{0.77}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAAGR}/\mathrm{ETAGR}\right)\\ {}+\kern2px {2.20}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDPAGR}\right)-4.63+\mathrm{ECT}\_\mathrm{WAGR}\end{array}} $$

(7.285)

$$ \mathrm{LOG}\left(\mathrm{WCON}\right)={\displaystyle \begin{array}{l}{0.81}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVACON}/\mathrm{ETCON}\right)+{0.21}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDPCON}\right)\\ {}+\kern2px 5.12-{0.41}^{\ast}\mathrm{DST}0308-{0.14}^{\ast }\ \mathrm{DB}0910\\ {}+\kern2px {0.16}^{\ast }\ \mathrm{DST}9803+\mathrm{ECT}\_\mathrm{WCON}\end{array}} $$

(7.286)

$$ \mathrm{LOG}\left(\mathrm{WFIBU}\right)={\displaystyle \begin{array}{l}{0.37}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAFIBU}/\mathrm{ETFIBU}\right)\\ {}+\kern2px {0.80}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDPFIBU}\right)+4.68+\mathrm{ECT}\_\mathrm{WFIBU}\end{array}} $$

(7.287)

$$ \mathrm{LOG}\left(\mathrm{WMAN}\right)={\displaystyle \begin{array}{l}{0.95}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMAN}/\mathrm{ETMAN}\right)\\ {}+\kern2px {0.50}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDPMANNO}\right)+2.95+{0.58}^{\ast}\mathrm{DP}2011\\ {}+\kern2px {0.40}^{\ast }\ \mathrm{DP}2012+\mathrm{ECT}\_\mathrm{WMAN}\end{array}} $$

(7.288)

$$ \mathrm{LOG}\left(\mathrm{WMIN}\right)={\displaystyle \begin{array}{l}{0.17}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMIN}/\mathrm{ETMIN}\right)+{0.17}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDPMIN}\right)\\ {}+\kern2px 9.85+{0.31}^{\ast}\mathrm{DP}2009-{0.21}^{\ast }\ \mathrm{DP}2011-{0.17}^{\ast }\ \mathrm{DP}2016\\ {}+\kern2px \mathrm{ECT}\_\mathrm{WMIN}\end{array}} $$

(7.289)

$$ \mathrm{LOG}\left(\mathrm{WTRACOM}\right)={\displaystyle \begin{array}{l}{0.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVATRACOM}/\mathrm{ETTRACOM}\right)\\ {}+\kern2px {0.77}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDPTRACOM}\right)+6.36\\ {}-\kern2px {0.32}^{\ast }\ \mathrm{DSH}2003-{0.22}^{\ast }\ \mathrm{DP}2011+\mathrm{ECT}\_\mathrm{WTRACOM}\end{array}} $$

(7.290)

$$ \mathrm{LOG}\left(\mathrm{WU}\right)={\displaystyle \begin{array}{l}{1.61}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAU}/\mathrm{ETU}\right)+{0.95}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGDPU}\right)+1.09\\ {}-\kern2px {0.05}^{\ast }@\mathrm{TREND}-0.57\ast \mathrm{DST}1012+\mathrm{ECT}\_\mathrm{WU}\end{array}} $$

(7.291)

7.6.2.1 Identities for Unit Labor Cost by Sector

$$ \mathrm{ULCAGR}=\mathrm{WAGR}\ast \mathrm{ETAGR}/\mathrm{GVAAGR} $$

(7.292)

$$ \mathrm{ULCCON}=\mathrm{WCON}\ast \mathrm{ETCON}/\mathrm{GVACON} $$

(7.293)

$$ \mathrm{ULCDIS}=\mathrm{WDIS}\ast \mathrm{ETDIS}/\mathrm{GVADIS} $$

(7.294)

$$ \mathrm{ULCFIBU}=\mathrm{WFIBU}\ast \mathrm{ETFIBU}/\mathrm{GVAFIBU} $$

(7.295)

$$ \mathrm{ULCFIBUOTH}=\mathrm{WFIBU}\ast \mathrm{ETFIBU}/\mathrm{GVAFIBUOTH} $$

(7.296)

$$ \mathrm{ULCGOV}=\mathrm{GWSA}\_\mathrm{Z}\ast \mathrm{ETGOV}/\mathrm{GVAGOV} $$

(7.297)

$$ \mathrm{ULCMANNO}=\mathrm{WMAN}\ast \mathrm{ETMANNO}/\mathrm{GVAMANNO} $$

(7.298)

$$ \mathrm{ULCOILREF}=\mathrm{WMAN}\ast \mathrm{ETOILREF}/\mathrm{GVAOILREF} $$

(7.299)

$$ \mathrm{ULCOTHS}=\mathrm{W}\ast \mathrm{ETOTHS}/\mathrm{GVAOTHS} $$

(7.300)

$$ \mathrm{ULCTRACOM}=\mathrm{WTRACOM}\ast \mathrm{ETTRACOM}/\mathrm{GVATRACOM} $$

(7.301)

$$ \mathrm{ULCU}=\mathrm{WU}\ast \mathrm{ETU}/\mathrm{GVAU} $$

(7.302)

$$ \mathrm{ULCSER}=\mathrm{W}\_\mathrm{OLD}\ast \mathrm{ETSER}/\mathrm{GVASER} $$

(7.303)

$$ \mathrm{ULCSER}=\mathrm{W}\_\mathrm{OLD}\ast \mathrm{ETNOIL}/\mathrm{GVANOIL} $$

(7.304)

$$ \mathrm{ULCOIL}=\mathrm{W}\_\mathrm{OLD}\ast \mathrm{ETOIL}/\mathrm{GVAOIL} $$

(7.305)

7.6.2.2 An Identity for Labor Compensation

$$ \mathrm{LABCOMP}={\displaystyle \begin{array}{l}({\mathrm{ETAGR}}^{\ast }\ \mathrm{W}\mathrm{AGR}+{\mathrm{ETCON}}^{\ast }\ \mathrm{W}\mathrm{CON}+{\mathrm{ETDIS}}^{\ast }\ \mathrm{W}\mathrm{DIS}\\ {}+\kern2px {\mathrm{ETFIBU}}^{\ast }\ \mathrm{W}\mathrm{FIBU}+{\mathrm{ETGOV}}^{\ast}\\ {}\left(\left(\mathrm{GWSA}\_{\mathrm{Z}}^{\ast }10\hat{\mkern6mu} 6\right)/\left({\mathrm{ETGOV}}^{\ast }10\hat{\mkern6mu} 3\right)\right)\\ {}+\kern2px {\mathrm{ETMANNO}}^{\ast}\mathrm{W}\mathrm{MAN}+{\mathrm{ETPETCH}}^{\ast }\ \mathrm{W}\mathrm{PETCH}\\ {}+\kern2px {\mathrm{ETMINOTH}}^{\ast }\ \mathrm{W}\_\mathrm{CEIC}+{\mathrm{ETOTHS}}^{\ast }\ \mathrm{W}\_\mathrm{CEIC}\\ {}+\kern2px {\mathrm{ETTRACOM}}^{\ast}\mathrm{W}\mathrm{TRACOM}+{\mathrm{ETU}}^{\ast }\ \mathrm{W}\mathrm{U}\\ {}+\kern2px {\mathrm{ETOILREF}}^{\ast }\ \mathrm{W}\_\mathrm{CEIC}+{\mathrm{ETOILMIN}}^{\ast }\ \mathrm{W}\_\mathrm{CEIC}\Big)/1000\\ {}+\kern2px \mathrm{DIS}\_\mathrm{LABCOMP}\end{array}} $$

(7.306)

7.7 Energy Block Equations and Identities

7.7.1 Energy Demand Equations

7.7.1.1 Industry

$$ \mathrm{LOG}\ \left(\mathrm{DCOIL}\_\mathrm{IND}\right)={\displaystyle \begin{array}{l}{1.32}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{GVAIND}-\mathrm{GVAU}\right)\\ {}-\kern2px {0.65}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PCOIL}\_\mathrm{IND}/{\mathrm{PGDPIND}}^{\ast }\ 100\right)\\ {}+\kern2px {1.76}^{\ast }\ \mathrm{LOG}\ \left(\mathrm{PDIS}\_\mathrm{IND}/{\mathrm{PGDPIND}}^{\ast }\ 100\right)\\ {}-\kern2px 25.77+\mathrm{ECT}\_\mathrm{DCOIL}\_\mathrm{IND}\end{array}} $$

(7.307)

$$ \mathrm{LOG}\left(\mathrm{DDIS}\_\mathrm{IND}\right)={\displaystyle \begin{array}{l}{0.21}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMANNO}\right)\\ {}-{0.13}^{\ast }\ \mathrm{LOG}\left(\mathrm{PDIS}\_\mathrm{IND}/{\mathrm{PGDPMANNO}}^{\ast }\ 100\right)\\ {}-\kern2px 2.06+{0.03}^{\ast }@\mathrm{TREND}\\ {}-\kern2px {0.17}^{\ast }\ \mathrm{DBT}2016-{0.16}^{\ast }\ \mathrm{DP}1986+\mathrm{ECT}\_\mathrm{DDIS}\_\mathrm{IND}\end{array}} $$

(7.308)

$$ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{IND}\right)={\displaystyle \begin{array}{l}{0.61}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMANNO}\right)\\ {}-{0.31}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_{\mathrm{IND}}^{\ast }\ 100/\mathrm{PGDPMANNO}\right)\\ {}+\kern2px {0.94}^{\ast }\ \mathrm{LOG}\left(\mathrm{POP}1564\right)-13.12+{0.61}^{\ast }\ \mathrm{DSH}9005\\ {}+\kern2px {0.41}^{\ast }\ \mathrm{DP}2006+\mathrm{ECT}\_\mathrm{DELE}\_\mathrm{IND}\end{array}} $$

(7.309)

$$ \mathrm{LOG}\left(\mathrm{DHFO}\_\mathrm{IND}\right)={\displaystyle \begin{array}{l}{0.94}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMANNO}\right)\\ {}-{0.13}^{\ast }\ \mathrm{LOG}\left(\mathrm{PHFO}\_\mathrm{IND}/{\mathrm{PGDPIND}}^{\ast }\ 100\right)\\ {}+\kern2px {0.59}^{\ast }\ \mathrm{LOG}\left(\mathrm{PNGA}\_\mathrm{IND}/{\mathrm{PGDPIND}}^{\ast }\ 100\right)\\ {}-\kern2px 11.22-{0.42}^{\ast }\ \mathrm{DP}2009+\mathrm{ECT}\_\mathrm{DHFO}\_\mathrm{IND}\end{array}} $$

(7.310)

$$ \mathrm{LOG}\left(\mathrm{DNGA}\_\mathrm{IND}\right)={\displaystyle \begin{array}{l}{0.44}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMANNO}\right)\\ {}-{0.43}^{\ast }\ \mathrm{LOG}\left(\mathrm{PNGA}\_\mathrm{IND}/{\mathrm{PGDPIND}}^{\ast }\ 100\right)\\ {}+\kern2px {0.08}^{\ast }\ \mathrm{LOG}\left(\mathrm{PHFO}\_\mathrm{IND}/{\mathrm{PGDPIND}}^{\ast }\ 100\right)\\ {}+\kern2px {0.47}^{\ast }\ \mathrm{LOG}\left(\mathrm{NG}\_\mathrm{PRO}\right)-3.34+{0.17}^{\ast }\ \mathrm{DP}2015\\ {}-\kern2px {0.14}^{\ast }\ \mathrm{DP}1997+\mathrm{ECT}\_\mathrm{DNGA}\_\mathrm{IND}\end{array}} $$

(7.311)

$$ \mathrm{LOG}\left(\mathrm{DOTH}\_\mathrm{IND}\right)={\displaystyle \begin{array}{l}{0.06}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAMANNO}\right)\\ {}-{0.09}^{\ast }\ \mathrm{LOG}\left(\mathrm{POTH}\_\mathrm{IND}/{\mathrm{PGDPMANNO}}^{\ast }\ 100\right)\\ {}+\kern2px {1.14}^{\ast }\ \mathrm{LOG}\left(\mathrm{NGL}\right)-9.68+\mathrm{ECT}\_\mathrm{DOTH}\_\mathrm{IND}\end{array}} $$

(7.312)

7.7.1.2 Transport

$$ \mathrm{LOG}\left(\mathrm{DDIS}\_\mathrm{TRA}\right)={\displaystyle \begin{array}{l}{0.81}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVANOIL}\right)\\ {}-{0.22}^{\ast }\ \mathrm{LOG}\left(\mathrm{PDIS}\_\mathrm{TRA}/{\mathrm{PGDPNOIL}}^{\ast }\ 100\right)\\ {}+\kern2px {0.08}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGAS}\_\mathrm{TRA}/{\mathrm{PGDPNOIL}}^{\ast }\ 100\right)-7.56\\ {}+\kern2px \mathrm{ECT}\_\mathrm{DDIS}\_\mathrm{TRA}\end{array}} $$

(7.313)

$$ \mathrm{LOG}\left(\mathrm{DGAS}\_\mathrm{TRA}\right)={\displaystyle \begin{array}{l}{0.20}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVANOIL}\right)\\ {}-{0.21}^{\ast }\ \mathrm{LOG}\left(\mathrm{PGAS}\_\mathrm{TRA}/{\mathrm{CPI}}^{\ast }\ 100\right)\\ {}+\kern2px {1.23}^{\ast}\mathrm{LOG}\left(\mathrm{POP}\right)-10.97+\mathrm{ECT}\_\mathrm{DGAS}\_\mathrm{TRA}\end{array}} $$

(7.314)

$$ \mathrm{LOG}\left(\mathrm{DKER}\_\mathrm{TRA}\right)={\displaystyle \begin{array}{l}{0.31}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVANOIL}\right)\\ {}-{0.10}^{\ast }\ \mathrm{LOG}\left(\mathrm{PKER}\_\mathrm{TRA}/{\mathrm{PGDPTRACOM}}^{\ast }\ 100\right)\\ {}-\kern2px 3.83+\mathrm{ECT}\_\mathrm{DKER}\_\mathrm{TRA}\end{array}} $$

(7.315)

7.7.1.3 Residential

$$ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{RES}/\mathrm{POP}\right)={\displaystyle \begin{array}{l}{0.39}^{\ast }\ \mathrm{LOG}\left(\mathrm{DI}/\mathrm{POP}\right)\\ {}-\kern2px {0.32}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{RES}\_\mathrm{CONS}/{\mathrm{CPI}}^{\ast }\ 100\right)\\ {}+\kern2px {0.001}^{\ast }\ \mathrm{CDD}-8.79-{0.26}^{\ast }\ \mathrm{DST}1998\\ {}+\kern2px {0.25}^{\ast }\ \mathrm{DP}1997+\mathrm{ECT}\_\mathrm{DELE}\_\mathrm{RES}\end{array}} $$

(7.316)

$$ \mathrm{LOG}\left(\mathrm{DKER}\_\mathrm{RES}/\mathrm{POP}\right)={\displaystyle \begin{array}{l}{0.26}^{\ast }\ \mathrm{LOG}\left(\mathrm{DI}/\mathrm{POP}\right)\\ {}-\kern2px {0.25}^{\ast }\ \mathrm{LOG}\left(\mathrm{PKER}\_\mathrm{RES}/{\mathrm{CPI}}^{\ast }\ 100\right)\\ {}+\kern2px {0.29}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{RES}\_\mathrm{INV}/{\mathrm{CPI}}^{\ast }\ 100\right)\\ {}-\kern2px 12.70+{0.72}^{\ast }\ \mathrm{DP}1991+\mathrm{ECT}\_\mathrm{DKER}\_\mathrm{RES}\end{array}} $$

(7.317)

$$ \mathrm{LOG}\left(\mathrm{DLPG}\_\mathrm{RES}\right)={\displaystyle \begin{array}{l}{0.28}^{\ast }\ \mathrm{LOG}\left(\mathrm{GDP}\right)-{0.13}^{\ast }\ \mathrm{LOG}\left(\mathrm{PLPG}\_\mathrm{RES}/{\mathrm{PGDP}}^{\ast }\ 100\right)\\ {}+\kern2px {0.28}^{\ast}\mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{RES}\_\mathrm{CONS}/{\mathrm{CPI}}^{\ast }\ 100\right)-4.95\\ {}+\kern2px {0.35}^{\ast }\ \mathrm{DP}2011+\mathrm{ECT}\_\mathrm{DLPG}\_\mathrm{RES}\end{array}} $$

(7.318)

7.7.2 Commercial, Government and Agriculture

$$ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{COMM}\right)={\displaystyle \begin{array}{l}{0.44}^{\ast }\ \mathrm{LOG}\Big(\mathrm{GVADIS}+\mathrm{GVATRACOM}+\mathrm{GVAFIBU}\\ {}+\kern2px \mathrm{GVAOTHS}+\mathrm{GVACON}\Big)\\ {}-{0.15}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{COMM}/{\mathrm{CPI}}^{\ast }\ 100\right)\\ {}-\kern2px {0.17}^{\ast }\ \mathrm{LOG}\Big(\mathrm{IFDIS}+\mathrm{IFTRACOX}+\mathrm{IFFIBU}\\ {}+\kern2px \mathrm{IFOTHS}+\mathrm{IFCON}\Big)-6.93+{0.08}^{\ast }@\mathrm{TREND}\\ {}-\kern2px {0.11}^{\ast }\ \mathrm{DBT}2017+\mathrm{ECT}\_\mathrm{DELE}\_\mathrm{COMM}\end{array}} $$

(7.319)

$$ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{GOV}\right)={\displaystyle \begin{array}{l}{0.57}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAGOV}\right)\\ {}-{0.12}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{GOV}/{\mathrm{PGDPGOV}}^{\ast }\ 100\right)\\ {}-\kern2px 7.34+{0.03}^{\ast }@\mathrm{TREND}+{0.169704273369}^{\ast }\ \mathrm{DP}2018\\ {}+\kern2px \mathrm{ECT}\_\mathrm{DELE}\_\mathrm{GOV}\end{array}} $$

(7.320)

$$ \mathrm{LOG}\left(\mathrm{DELE}\_\mathrm{AGR}\right)={\displaystyle \begin{array}{l}{1.86}^{\ast }\ \mathrm{LOG}\left(\mathrm{GVAAGR}\right)\\ {}-{0.25}^{\ast }\ \mathrm{LOG}\left(\mathrm{PELE}\_\mathrm{AGR}/{\mathrm{PGDPAGR}}^{\ast }\ 100\right)\\ {}-\kern2px {0.09}^{\ast }\ \mathrm{LOG}\left(\mathrm{IFAGR}\right)\\ {}+\kern2px {0.34}^{\ast }\ \mathrm{LOG}\left(\mathrm{WAGR}/{\mathrm{PGDPAGR}}^{\ast }\ 100\right)\\ {}-\kern2px 22.01+{0.29}^{\ast }\ \mathrm{DP}2009+\mathrm{ECT}\_\mathrm{DELE}\_\mathrm{AGR}\end{array}} $$

(7.321)

7.7.2.1 An Identify for Electricity Supply

$$ \mathrm{ELE}\_\mathrm{STOT}\_\mathrm{KSA}={\displaystyle \begin{array}{l}\Big(\mathrm{DCOIL}\_\mathrm{U}+\mathrm{DDIS}\_\mathrm{U}+\mathrm{DHFO}\_\mathrm{U}\\ {}+\kern2px \mathrm{DNGA}\_\mathrm{U}\Big){}^{\ast }\ \mathrm{ELE}\_\mathrm{EF}+\mathrm{ELE}\_\mathrm{SS}\\ {}+\kern2px \mathrm{DIS}\_\mathrm{ELE}\_\mathrm{STOT}\_\mathrm{KSA}\end{array}} $$

(7.322)

7.7.3 Identities to Calculate Total Energy Demand in TOE for Customer Types and the Kingdom

$$ \mathrm{DEN}\_\mathrm{TOT}\_\mathrm{IND}={\displaystyle \begin{array}{l}\mathrm{DCOIL}\_\mathrm{IND}+\mathrm{DDIS}\_\mathrm{IND}+\mathrm{DHFO}\_\mathrm{IND}\\ {}+\kern2px \mathrm{DOTH}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{IND}\end{array}} $$

(7.323)

$$ \mathrm{DEN}\_\mathrm{TOT}\_\mathrm{TRA}=\mathrm{DGAS}\_\mathrm{TRA}+\mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA} $$

(7.324)

$$ \mathrm{DEOTH}\_\mathrm{TRA}=\mathrm{DDIS}\_\mathrm{TRA}+\mathrm{DKER}\_\mathrm{TRA} $$

(7.325)

$$ \mathrm{DEN}\_\mathrm{TOT}\_\mathrm{RES}=\mathrm{DELE}\_\mathrm{RES}+\mathrm{DLPG}\_\mathrm{RES}+\mathrm{DKER}\_\mathrm{RES} $$

(7.326)

$$ \mathrm{DEN}\_\mathrm{TOT}\_\mathrm{CGA}=\mathrm{DELE}\_\mathrm{COMM}+\mathrm{DELE}\_\mathrm{GOV}+\mathrm{DELE}\_\mathrm{AGR} $$

(7.327)

$$ \mathrm{DEN}\_\mathrm{TOT}\_\mathrm{KSA}=\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{IND}+\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{TRA}+\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{RES}+\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{CGA} $$

(7.328)

$$ \mathrm{DELE}\_\mathrm{TOT}\_\mathrm{KSA}={\displaystyle \begin{array}{l}\mathrm{DELE}\_\mathrm{RES}+\mathrm{DELE}\_\mathrm{IND}+\mathrm{DELE}\_\mathrm{COMM}\\ {}+\kern2px \mathrm{DELE}\_\mathrm{GOV}+\mathrm{DELE}\_\mathrm{AGR}+\mathrm{DELE}\_\mathrm{OTH}\end{array}} $$

(7.329)

7.7.4 Identities to Calculate Energy Demand in Million SAR by Customer Type

7.7.4.1 Industry

$$ \mathrm{CCOIL}\_\mathrm{IND}=\mathrm{DCOIL}\_{\mathrm{IND}}^{\ast }\ \mathrm{PCOIL}\_\mathrm{IND} $$

(7.330)

$$ \mathrm{CDIS}\_\mathrm{IND}=\mathrm{DDIS}\_{\mathrm{IND}}^{\ast }\ \mathrm{PDIS}\_\mathrm{IND} $$

(7.331)

$$ \mathrm{CHFO}\_\mathrm{IND}=\mathrm{DHFO}\_{\mathrm{IND}}^{\ast }\ \mathrm{PHFO}\_\mathrm{IND} $$

(7.332)

$$ \mathrm{COTH}\_\mathrm{IND}=\mathrm{DOTH}\_{\mathrm{IND}}^{\ast }\ \mathrm{POTH}\_\mathrm{IND} $$

(7.333)

$$ \mathrm{CNGA}\_\mathrm{IND}=\mathrm{DNGA}\_{\mathrm{IND}}^{\ast }\ \mathrm{PNGA}\_\mathrm{IND} $$

(7.334)

$$ \mathrm{CELE}\_\mathrm{IND}=\mathrm{DELE}\_{\mathrm{IND}}^{\ast }\ \mathrm{PELE}\_\mathrm{IND} $$

(7.335)

$$ \mathrm{CEN}\_\mathrm{TOT}\_\mathrm{IND}={\displaystyle \begin{array}{l}\mathrm{CCOIL}\_\mathrm{IND}+\mathrm{CDIS}\_\mathrm{IND}+\mathrm{CHFO}\_\mathrm{IND}\\ {}+\kern2px \mathrm{COTH}\_\mathrm{IND}+\mathrm{CNGA}\_\mathrm{IND}+\mathrm{CELE}\_\mathrm{IND}\end{array}} $$

(7.336)

7.7.4.2 Residential

$$ \mathrm{CLPG}\_\mathrm{RES}=\mathrm{DLPG}\_{\mathrm{RES}}^{\ast }\ \mathrm{PLPG}\_\mathrm{RES} $$

(7.337)

$$ \mathrm{CKER}\_\mathrm{RES}=\mathrm{DKER}\_{\mathrm{RES}}^{\ast }\ \mathrm{PKER}\_\mathrm{RES} $$

(7.338)

$$ \mathrm{CELE}\_\mathrm{RES}=\mathrm{DELE}\_{\mathrm{RES}}^{\ast }\ \mathrm{PELE}\_\mathrm{RES} $$

(7.339)

$$ \mathrm{CEN}\_\mathrm{TOT}\_\mathrm{RES}=\mathrm{CLPG}\_\mathrm{RES}+\mathrm{CKER}\_\mathrm{RES}+\mathrm{CELE}\_\mathrm{RES} $$

(7.340)

7.7.4.3 Transport

$$ \mathrm{CGAS}\_\mathrm{TRA}=\mathrm{DGAS}\_{\mathrm{TRA}}^{\ast }\ \mathrm{PGAS}\_\mathrm{TRA} $$

(7.341)

$$ \mathrm{CDIS}\_\mathrm{TRA}=\mathrm{DDIS}\_{\mathrm{TRA}}^{\ast }\ \mathrm{PDIS}\_\mathrm{TRA} $$

(7.342)

$$ \mathrm{CKER}\_\mathrm{TRA}=\mathrm{DKER}\_{\mathrm{TRA}}^{\ast }\ \mathrm{PKER}\_\mathrm{TRA} $$

(7.343)

$$ \mathrm{CEN}\_\mathrm{TOT}\_\mathrm{TRA}=\mathrm{CGAS}\_\mathrm{TRA}+\mathrm{CDIS}\_\mathrm{TRA}+\mathrm{CKER}\_\mathrm{TRA} $$

(7.344)

7.7.5 Commercial and Public Services and Agriculture and Forestry

$$ \mathrm{CELE}\_\mathrm{COMM}=\mathrm{DELE}\_{\mathrm{COMM}}^{\ast }\ \mathrm{PELE}\_\mathrm{COMM} $$

(7.345)

$$ \mathrm{CELE}\_\mathrm{GOV}=\mathrm{DELE}\_{\mathrm{GOV}}^{\ast }\ \mathrm{PELE}\_\mathrm{GOV} $$

(7.346)

$$ \mathrm{CELE}\_\mathrm{AGR}=\mathrm{DELE}\_{\mathrm{AGR}}^{\ast }\ \mathrm{PELE}\_\mathrm{AGR} $$

(7.347)

$$ \mathrm{CEN}\_\mathrm{TOT}\_\mathrm{CGA}=\mathrm{CELE}\_\mathrm{COMM}+\mathrm{CELE}\_\mathrm{GOV}+\mathrm{CELE}\_\mathrm{AGR} $$

(7.348)

7.7.6 Identity to Calculate Energy Demand in Million SAR for the Kingdom

$$ \mathrm{DNGA}\_\mathrm{TOT}=\mathrm{DNGA}\_\mathrm{IND}+\mathrm{DNGA}\_\mathrm{U}+\mathrm{DNGA}\_\mathrm{IND}\_\mathrm{NEU}+\mathrm{DNGA}\_\mathrm{EOU} $$

(7.349)

$$ \mathrm{CNGA}\_\mathrm{TOT}=\mathrm{DNGA}\_{\mathrm{TOT}}^{\ast }\ \mathrm{PNGA}\_\mathrm{IND} $$

(7.350)

$$ \mathrm{CEN}\_\mathrm{TOT}\_\mathrm{KSA}=\mathrm{CEN}\_\mathrm{TOT}\_\mathrm{IND}+\mathrm{CEN}\_\mathrm{TOT}\_\mathrm{RES}+\mathrm{CEN}\_\mathrm{TOT}\_\mathrm{TRA}+\mathrm{CEN}\_\mathrm{TOT}\_\mathrm{CGA} $$

(7.351)

$$ \mathrm{OILUSE}=\left(\mathrm{DEN}\_\mathrm{TOT}\_\mathrm{KSA}-\mathrm{DNGA}\_\mathrm{TOT}\right)/\left({365}^{\ast }\ 0.1486\right)+\mathrm{DIS}\_\mathrm{OILUSE} $$

(7.352)

7.8 CO₂ Emissions Block Equations and Identities

7.8.1 Industry

$$ {\mathrm{CO}}_2\_\mathrm{COIL}\_\mathrm{IND}=\left(\mathrm{DCOIL}\_{\mathrm{IND}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }7.33\right)\ast 0.43 $$

(7.353)

$$ {\mathrm{CO}}_2\_\mathrm{DIS}\_\mathrm{IND}=\left(\mathrm{DDIS}\_{\mathrm{IND}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }{0.99}^{\ast }{7.5}^{\ast }42\right)\ast 0.01 $$

(7.354)

$$ {\mathrm{CO}}_2\_\mathrm{HFO}\_\mathrm{IND}=\left(\mathrm{DHFO}\_{\mathrm{IND}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }6.7\right)\ast 0.43 $$

(7.355)

$$ {\mathrm{CO}}_2\_\mathrm{NGA}\_\mathrm{IND}=\left(\mathrm{DNGA}\_{\mathrm{IND}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }39.2\right)\ast 0.05 $$

(7.356)

$$ {\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{IND}=\left(\mathrm{DELE}\_{\mathrm{IND}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }11.63\right)\ast 0.65 $$

(7.357)

7.8.2 Transport

$$ {\mathrm{CO}}_2\_\mathrm{DIS}\_\mathrm{TRA}=\left(\mathrm{DDIS}\_{\mathrm{TRA}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }{0.99}^{\ast }{7.5}^{\ast }42\right)\ast 0.01 $$

(7.358)

$$ {\mathrm{CO}}_2\_\mathrm{GAS}\_\mathrm{TRA}=\left(\mathrm{DGAS}\_{\mathrm{TRA}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }{0.95}^{\ast }{8.5}^{\ast }42\right)\ast 0.01 $$

(7.359)

$$ {\mathrm{CO}}_2\_\mathrm{KER}\_\mathrm{TRA}=\left(\mathrm{DKER}\_{\mathrm{TRA}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }{0.95}^{\ast }{7.8}^{\ast }42\right)\ast 0.01 $$

(7.360)

7.8.3 Residential

$$ {\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{RES}=\left(\mathrm{DELE}\_{\mathrm{RES}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }11.63\right)\ast 0.645 $$

(7.361)

$$ {\mathrm{CO}}_2\_\mathrm{KER}\_\mathrm{RES}=\left(\mathrm{DKER}\_{\mathrm{RES}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }{0.95}^{\ast }{7.8}^{\ast }42\right)\ast 0.01 $$

(7.362)

$$ {\mathrm{CO}}_2\_\mathrm{LPG}\_\mathrm{RES}=\left(\mathrm{DLPG}\_{\mathrm{RES}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }{0.89}^{\ast }{11.6}^{\ast }42\right)\ast 0.24 $$

(7.363)

7.8.4 CO₂ from Commercial, Government, Agriculture, and Other Electricity Use

$$ {\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{COMM}=\left(\mathrm{DELE}\_{\mathrm{CO}\mathrm{MM}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }11.63\right)\ast 0.65 $$

(7.364)

$$ {\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{GOV}=\left(\mathrm{DELE}\_{\mathrm{GOV}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }11.63\right)\ast 0.65 $$

(7.365)

$$ {\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{AGR}=\left(\mathrm{DELE}\_{\mathrm{AGR}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }11.63\right)\ast 0.65 $$

(7.366)

$$ {\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{OTH}=\left(\mathrm{DELE}\_{\mathrm{OTH}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }11.63\right)\ast 0.65 $$

(7.367)

7.8.5 CO₂ from Total Electricity Generated and Based on the Fuel Mix Components

$$ {\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{STOT}\_\mathrm{KSA}=\left(\mathrm{ELE}\_\mathrm{STOT}\_{\mathrm{KSA}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }11.63\right)\ast 0.65 $$

(7.368)

$$ {\mathrm{CO}}_2\_\mathrm{COIL}\_\mathrm{U}=\left(\mathrm{DCOIL}\_{\mathrm{U}}^{\ast }{7.33}^{\ast }10\hat{\mkern6mu} 6\right)\ast 0.43 $$

(7.369)

$$ {\mathrm{CO}}_2\_\mathrm{DIS}\_\mathrm{U}=\left(\mathrm{DDIS}\_{\mathrm{U}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }{0.99}^{\ast }{7.5}^{\ast }42\right)\ast 0.01 $$

(7.370)

$$ {\mathrm{CO}}_2\_\mathrm{HFO}\_\mathrm{U}=\left(\mathrm{DHFO}\_{\mathrm{U}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }{1.04}^{\ast }6.7\right)\ast 0.43 $$

(7.371)

$$ {\mathrm{CO}}_2\_\mathrm{NGA}\_\mathrm{U}=\left(\mathrm{DNGA}\_{\mathrm{U}}^{\ast }10\hat{\mkern6mu} {6}^{\ast }39.2\right)\ast 0.05 $$

(7.372)

$$ {\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{KSA}\_\mathrm{PFM}={\mathrm{CO}}_2\_\mathrm{COIL}\_\mathrm{U}+{\mathrm{CO}}_2\_\mathrm{DIS}\_\mathrm{U}+{\mathrm{CO}}_2\_\mathrm{HFO}\_\mathrm{U}+{\mathrm{CO}}_2\_\mathrm{NGA}\_\mathrm{U} $$

(7.373)

7.8.6 Total CO₂ Emissions by Sector

$$ {\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{IND}={\displaystyle \begin{array}{l}{\mathrm{CO}}_2\_\mathrm{COIL}\_\mathrm{IND}+{\mathrm{CO}}_2\_\mathrm{DIS}\_\mathrm{IND}\\ {}+{\mathrm{CO}}_2\_\mathrm{HFO}\_\mathrm{IND}+{\mathrm{CO}}_2\_\mathrm{NGA}\_\mathrm{IND}+{\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{IND}\end{array}} $$

(7.374)

$$ {\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{TRA}={\mathrm{CO}}_2\_\mathrm{GAS}\_\mathrm{TRA}+{\mathrm{CO}}_2\_\mathrm{DIS}\_\mathrm{TRA}+{\mathrm{CO}}_2\_\mathrm{KER}\_\mathrm{TRA} $$

(7.375)

$$ {\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{RES}={\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{RES}+{\mathrm{CO}}_2\_\mathrm{LPG}\_\mathrm{RES}+{\mathrm{CO}}_2\_\mathrm{KER}\_\mathrm{RES} $$

(7.376)

$$ {\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{CGAO}={\displaystyle \begin{array}{l}{\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{COMM}+{\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{GOV}\\ {}+{\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{AGR}+{\mathrm{CO}}_2\_\mathrm{ELE}\_\mathrm{OTH}\end{array}} $$

(7.377)

7.8.7 Total CO₂ Emissions from Oil Use and for the Kingdom

$$ {\mathrm{CO}}_2\_\mathrm{OILUSE}=\left({\mathrm{OILUSE}}^{\ast }{365}^{\ast }10\hat{\mkern6mu} 6\right)\ast 0.43 $$

(7.378)

$$ {\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{KSA}={\displaystyle \begin{array}{l}{\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{IND}+{\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{TRA}\\ {}+{\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{RES}+{\mathrm{CO}}_2\_\mathrm{EN}\_\mathrm{TOT}\_\mathrm{CGAO}\end{array}} $$

(7.379)

7.9 Population and Age Cohorts Block Equations and Identities

7.9.1 Identities for Saudis and Non-Saudis

$$ \mathrm{POPS}=\mathrm{POPSM}+\mathrm{POPSF} $$

(7.380)

$$ \mathrm{POPNS}=\left(\mathrm{POP}-\mathrm{POPS}\right)+\mathrm{DIS}\_\mathrm{POPNS} $$

(7.381)

7.9.2 Identities for Age Cohorts

$$ \mathrm{POP}014=\mathrm{POPM}014+\mathrm{POPF}014 $$

(7.382)

$$ \mathrm{POP}1519=\mathrm{POPM}1519+\mathrm{POPF}1519 $$

(7.383)

$$ \mathrm{POP}2024=\mathrm{POPM}2024+\mathrm{POPF}2024 $$

(7.384)

$$ \mathrm{POP}2529=\mathrm{POPM}2529+\mathrm{POPF}2529 $$

(7.385)

$$ \mathrm{POP}3034=\mathrm{POPM}3034+\mathrm{POPF}3034 $$

(7.386)

$$ \mathrm{POP}3539=\mathrm{POPM}3539+\mathrm{POPF}3539 $$

(7.387)

$$ \mathrm{POP}4044=\mathrm{POPM}4044+\mathrm{POPF}4044 $$

(7.388)

$$ \mathrm{POP}4549=\mathrm{POPM}4549+\mathrm{POPF}4549 $$

(7.389)

$$ \mathrm{POP}5054=\mathrm{POPM}5054+\mathrm{POPF}5054 $$

(7.390)

$$ \mathrm{POP}5559=\mathrm{POPM}5559+\mathrm{POPF}5559 $$

(7.391)

$$ \mathrm{POP}6064=\mathrm{POPM}6064+\mathrm{POPF}6064 $$

(7.392)

$$ \mathrm{POP}65\mathrm{A}=\mathrm{POPM}65\mathrm{A}+\mathrm{POPF}65\mathrm{A} $$

(7.393)

$$ \mathrm{POP}={\displaystyle \begin{array}{l}\mathrm{POP}014+\mathrm{POP}1519+\mathrm{POP}2024+\mathrm{POP}2529+\mathrm{POP}3034+\mathrm{POP}3539\\ {}+\mathrm{POP}4044+\mathrm{POP}4549+\mathrm{POP}5054+\mathrm{POP}5559+\mathrm{POP}6064\\ {}+\mathrm{POP}65\mathrm{A}+\mathrm{DIS}\_\mathrm{POP}\end{array}} $$

(7.394)

7.9.3 Identities for Working Age Group

$$ \mathrm{POPW}=\mathrm{POPWF}+\mathrm{POPWM} $$

(7.395)

$$ \mathrm{POPWF}={\displaystyle \begin{array}{l}\mathrm{POPF}1519+\mathrm{POPF}2024+\mathrm{POPF}2529+\mathrm{POPF}3034+\mathrm{POPF}3539+\\ {}\mathrm{POPF}4044+\mathrm{POPF}4549+\mathrm{POPF}5054+\mathrm{POPF}5559+\mathrm{POPF}6064\end{array}} $$

(7.396)

$$ \mathrm{POPWM}={\displaystyle \begin{array}{l}\mathrm{POPM}1519+\mathrm{POPM}2024+\mathrm{POPM}2529+\mathrm{POPM}3034+\\ {}\mathrm{POPM}3539+\mathrm{POPM}4044+\mathrm{POPM}4549+\mathrm{POPM}5054+\\ {}\mathrm{POPM}5559+\mathrm{POPM}6064\end{array}} $$

(7.397)