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Energy conservation and emission reduction effects of fuel tax and assessment of economic impacts-based on the Beijing 3E-CGE model

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Abstract

Fuel tax levy is an appropriate measure to reduce motor vehicle pollution since the government can’t directly tax drifting source of pollution. However, this action will affect every part of residents’ life, we should take many factors into consideration. This paper is devoted to the environmental and economic effects of various fuel taxes for different departments based on Beijing economy-energy-environment computable general equilibrium (3E-CGE) model. Researches show that raising fuel tax rates for production & import and consumption contributes to air pollution and emission reduction. However, tax increase may hinder economic growth. Higher tax on production & import will lead to stagflation while on consumption will lead to depression. Besides, the influences on different industries also vary. My conclusion is that government should levy fuel taxes as well as pay subsidies to optimize industrial structure and decrease the impact on economy.

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Funding

General Project of Humanities and Social Sciences of Ministry of Education of China (Grant No.: 15YJC790085); Natural Science Foundation of Beijing, "Research on Beijing Energy Structure Optimization and Supporting Policy Based on CGE Model under Air Pollution Control Objectives"(Grant No.: 9162010, 2016–2018).

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Correspondence to Hui Shao.

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Appendices

Appendix 1: Variable symbols and parameters in 3E-CGE model and description

CC

product

CCEN

energy product

CGCM(CC)

central government consumption

CGS

central government savings

CMTXEXP(CTX)

consumption tax by type

CMTXFO(CTX)

consumption tax by type

CX(PS)

cost of producer

CXEN(PS)

cost of energy of producer

DEXP(CC)

domestic export

DIMPEXP

domestic import

DIMPFO

domestic import

DINV

domestic investment

FMKY

firm capital income from expenditure

FMS

firm savings

HHCM(CC,HH)

household consumption

HHE(HH)

household expenditure

HHKY(HH)

household capital factor income

HHS(HH)

household savings

HHY(HH)

household income

IEXP(CC)

international export

IIMP(CC)

international import

IIMPEXP

international import

IIMPFO

international import

IINV

international investment

INV(CC)

investment by commodity

INVS

investment in stock

K(PS)

capital demand by producer

L(PS)

labor demand by producer

LGCM(CC)

local government consumption

LGS

local government savings

PC(CC)

product price relative price of composite commodity sold in domestic market

POIL(CC)

fuel tax rate of terminal consumption in import link and consumption link

POIL(CCEN)

consumption link fuel tax rate

POIL(PS)

production link fuel tax rate

PIEXP(CC)

price of international export at local currency

PIIMP(CC)

price of international import at local currency

PQDDIMP(CC)

price for domestically-produced commodity sold in domestic market

PQXEN(CCEN,PS)

intermediate input prices of energy

PS

industry sector

PU(PS)

price of composite intermediate input

PUY

price of utility or aggregate consumption by household

PX(PS)

price for activity of domestic production

QC(CC)

quantity of composite commodity supplied to or consumed in domestic market

QDDIMP(CC)

QD + DIMP for use of Armington

QX(CC,PS)

Use table or Intermediate demand of commodity by producer

QXEN(CCEN,PS)

use table or Intermediate demand of energy

R

rental rate

ROCDT

ROC debt

ROWDT

ROW debt

SC(CC)

stock change by commodity

TDIMP

total domestic import

TIIMP

total international import

TINV

total investment

TKE

total capital expenditure

TKY

total capital income

TLE

total labor expenditure

TLY

total labor income from factor

U(PS)

use of composite intermediate input

UEN(PS)

use of composite energy intermediate input

UNEN(PS)

use of composite non-energy intermediate input

UY

utility by household

W

wage rate by region

AA(CC)

Armington scaling parameter of Armington function

AH(HH,REG)

scaling parameter of Cobb–Douglas utility function by household

alphah(CC,HH)

composition of Household consumption

alphai(CC)

investment use of commodity

alphas(CC)

stock use of commodity

AP(PS)

scaling parameter of CES production function for producer

APEN(PS)

scaling parameter of CES production function for energy input

beta(PS)

use Table of intermediate inputs or uses

betaen(CCEN, PS)

use table of intermediate inputs or uses

delta(CC)

Armington substitution rate of Armington assumption

sa(CC)

Armington substitution elasticity of Amington function

sdimpexp

coefficient of export goods in imported goods

sdimpfo

transfer of commodity coefficient into commodities

siimpexp

coefficient of export goods in imported goods

siimpfo

transfer coefficient of goods from imported goods

sp(PS)

substitution elasticity of production

su

substitution elasticity of Utility

spen(PS)

substitution elasticity of energy for production

srocdt

coefficient of debt in other regions of the country

srowdt

foreign sector debt coefficient

Appendix 2: Summary of model assumptions

The theoretical basis of CGE is equilibrium theory, so its main assumptions are derived from equilibrium hypothesis. The details are as follows: Equilibrium module includes labor market equilibrium, capital market equilibrium, commodity market equilibrium, investment-savings equilibrium.

2.1 Labor and capital market equilibrium

The income of labor and capital factors in all sectors is derived from the production function, and the income of labor and capital factors in all sectors is the total income of labor and capital factors. The total income of labor factors flows into the household sector, while the total income of capital factors flows into the household sector and the enterprise sector respectively in proportion. In addition, this paper assumes that wage is an endogenous variable, which can achieve full employment and thus achieve labor market equilibrium. In terms of capital market, this paper assumes that capital price is endogenous and capital can flow freely, so capital market equilibrium can be realized.

$${\text{TLY}} = W * \sum\limits_{PS} {L(PS)}$$
$${\text{TKY = R}} * \sum\limits_{{{\text{PS}}}} {K(PS)}$$
$${\text{TKE}} = FMKY + HHKY$$
$${\text{TLE}} = HHLY$$
$${\text{TLY = TLE}}$$
$${\text{TKY = TKE}}$$

In addition, the total amount of labor factor and capital factor is given externally.

$$\sum\limits_{{{\text{PS}}}} {\text{L(PS)}} { = }\overline{{{\text{TL}}}}$$
$$\sum\limits_{{{\text{PS}}}} {K(PS) = \overline{TK} }$$

Commodity market equilibrium means that the total supply of goods equals the total demand.

$$\begin{gathered} {\text{QC}}(CC) = \sum\limits_{PS} {QX(CC,PS) + } \sum\limits_{HH} {HHCM(CC,HH)} \hfill \\ \, + LGCM(CC) + CGCM(CC)INV(CC) + SC(CC) \hfill \\ \end{gathered}$$

among them

$${\text{INV}}(CC) = \frac{alphai(CC) * TINV}{{PC(CC)}}$$
$${\text{SC}}(CC) = \frac{alphas(CC) * INVS}{{PC(CC)}}$$

Investment-savings equilibrium This paper assumes that investment is determined by savings, and all savings can be converted into investment. Investment includes local government debt, foreign sector debt, domestic debt other parts of the country, commodity investment, inventory investment. Savings include household sector savings, enterprise sector savings, local government savings, central government savings, foreign sector savings, savings in other parts of the country.

$$\begin{aligned} {\text{IINV}} & = TIIMP - \sum\limits_{CC} {PIEXP(CC) * IEXP(CC)} \\ & \quad - \sum\limits_{CTX} {CMTXEXP(CTX)} - IIMPEXP - DIMPEXP \\ \end{aligned}$$
$$\begin{aligned} {\text{DINV}} & = TDIMP - \sum\limits_{{{\text{CC}}}} {{\text{PDEXP}}(CC) * DEXP(CC)} \\ & \quad - \sum\limits_{CTX} {CMTXFO(CTX)} - IIMPFO - DIMPFO \\ \end{aligned}$$
$${\text{IIMPEXP}} = siimp\exp * TIIMP$$
$${\text{DIMPEXP = s}}\dim {\text{p}}\exp * TDIMP$$
$${\text{IIMPFO = }}siimpfo * TIIMP$$
$${\text{DIMPFO = }}s\dim pfo * TDIMP$$
$${\text{TSAV = }}\sum\limits_{{{\text{HH}}}} {{\text{HHS}}(HH)} + FMS + LGS + CGS + IINV + DINV$$
$${\text{ROCDT}} = srocdt * TINV$$
$${\text{ROWDT = srowdt}} * TINV$$

In addition, since the exchange rate is set as the benchmark price in this model, it ensures the automatic realization of trade equilibrium.

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Shao, H., Ye, B. & Pan, Hr. Energy conservation and emission reduction effects of fuel tax and assessment of economic impacts-based on the Beijing 3E-CGE model. Lett Spat Resour Sci 15, 377–399 (2022). https://doi.org/10.1007/s12076-021-00294-1

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