4. EMEC – a general equilibrium model
Environmental Medium-Term Economic Model (EMEC) is a computable general equilibrium (CGE) model for the Swedish economy. It explicitly captures links between economic activity, energy use and greenhouse-gas emissions and has been tailored to answer research questions about the economic effects of various climate policies. EMEC is formulated as a mixed-complementarity problem using the Mathematical Programming System for General Equilibrium Analysis (Rutherford, 1999). A full description of EMEC is provided in NIER (2023). Here, we restrict ourselves to a description of the basic features of the model and focus on the main climate-policy instruments in place in Sweden, including the EU ETS, domestic energy and carbon taxes and biofuel standards (“Reduktionsplikten”).
Several economic agents interact by demanding and supplying commodities on markets. We specify representative households for six types differentiated by income and residential area. Households enjoy final consumption products and leisure time, own their hours available for work and leisure, have a marginal propensity to save and invest in capital and own the resulting stock of capital.
We specify representative firms across 35 sectors, producing 43 different products in all, where a product can be a good or a delivered service. Production requires capital, labour in the form of working hours and intermediate inputs from other industries, where the inputs can move freely between sectors.
The model includes a government collecting taxes, paying subsidies, consuming final consumption goods and services and paying net transfers back to the households. The government also holds the balance of payment for imports and exports in foreign exchange, and we let the price of foreign exchange adjust endogenously.
The economy is specified as open and small relative to other countries, meaning that world market prices are taken as given. However, domestically produced products are generally assumed to be imperfect substitutes for imported products, allowing for domestic product prices to differ from the world market prices. This is modelled using the formulation in Armington (1969). The markets for labour and capital are assumed to be domestic only.
Agents behave rationally but have imperfect foresight over time.
4.1 Households
Households maximise utility (henceforth referred to as welfare) subject to their budget constraint. Welfare is specified as nested-CES functions of leisure hours and bundles of final consumption products, and we measure welfare changes as equivalent variation, i.e., calculating the income change that would give the same welfare change as the policy change. By allowing households to derive welfare from leisure hours, we introduce a trade-off between leisure and consumption and make their supplies of working hours endogenous. Enjoying more leisure hours increases welfare but also decreases labour income, and thus welfare is derived from consumption.
Final consumption products are bundled into multiple consumption bundles. Within the consumption bundle of housing-related products, we distinguish between electricity, district heating and various heating fuels.
As the Swedish transport sector has an individual climate target for 2030 and is subject to substantial policy measures, considerable model development has been conducted regarding this particular sector. Within the consumption bundle of transport products, we distinguish between sea, air, rail, and road transports. Within road transports, we further distinguish between purchased and own road transports. When it comes to own road transports, we further distinguish between own road transports with new and two vintages of used light-duty vehicles. We specify vehicle stocks with the help of capital dynamics equations and with household ownership of these stocks. In addition, the model includes a technology-rich representation of vehicles by distinguishing between multiple types of light-duty vehicles and fuel blends. Specifically, we distinguish between light-duty vehicles with (i) diesel engines running on a diesel blend, (ii) petrol engines running on an E10 blend, (iii) petrol engines running on an E85 blend, (iv) petrol engines running on an E10 blend and electricity (plug-in hybrid electric vehicles) and (v) electric motors. We let the choice of vehicle type for use in own road transports be governed by a CES function over vehicle types and be based on the total user cost of the vehicle and fuels in the current period. We assume a relatively high substitution elasticity for the choice of new vehicle types and a relatively low substitution elasticity for the choice of used vehicle types in own road transports. EMEC is thus able to analyse, e.g., the effects of bonus-malus on emissions through how it affects the vehicle stocks. Similarly, the model can capture how changes in biofuel standards (see below) affect fuel prices and how this, in turn, affects the choices of new vehicle purchases and, therefore, the speed at which electric vehicles are introduced. In this way, the model captures the recent rapid increase of electric vehicles as a share of new cars. We do not specify any scrapping subsidies or exports of used vehicles.
Further, we assume an income elasticity of demand for transport products of less than one to reflect the fact that some household transport demands are non-discretionary (e.g., commuter journeys) and that household transport demands, therefore, increase less than proportional to increases in household income.
Note that environmental quality does not enter the welfare function, implying independence of the demand functions for goods with respect to environmental quality.
4.2 Firms in production sectors
Producers maximise profits subject to their production functions, specified as nested-CES functions of capital, working hours, energy, transports and other intermediate inputs.
Within the nest of energy inputs, we distinguish between electricity, district heating and fuels, and we further distinguish between various solid and liquid fuel types (e.g., coal, oil, and gas).
Intermediate use of transport products is specified similarly to the specification of household consumption of transport products. We specify the same choice of light-duty vehicles and fuel blends. In addition, we distinguish road transports between passenger and cargo road transports, further distinguish between purchased and own cargo road transports, and between own cargo road transports with new and two vintages of used heavy-duty vehicles (HDVs). HDVs with diesel engines can run on both the regular diesel blend and a pure biodiesel blend (HVO100). However, we do not specify HDVs with electric engines. We again specify stocks of all vehicles with the help of capital dynamics equations. Since capital is embodied in the vehicles, the households own these vehicle stocks as well.
Constant returns to scale in production and the perfect-competition assumption imply zero profits.
4.3 Greenhouse-gas emissions and prices
Firms’ production processes, intermediate use of fuel products by firms, and final consumption of fuel products by households give rise to emissions of greenhouse gases and may all be subject to policy and emission prices. Firms subject to the EU ETS need emission permits to emit greenhouse gases. In addition, they may need to pay a domestic carbon tax if the firm, production sector and emission source are subject to the tax. Households may need to pay a domestic carbon tax if the emission source is subject to the tax.
When faced with an emission price, households and firms choose to keep on emitting and pay the emission price, or reduce their emissions and avoid paying the price, or a combination of both, whichever is the cheapest. When choosing to reduce emissions, households have the abatement options of substituting other final consumption products for the polluting one (e.g. choosing less carbon-intensive fuels for own road transports or heating), of substituting low carbon-intensive consumption bundles for high carbon-intensive consumption bundles (e.g. consuming less of the road transport bundle and more of the rail transport bundle), of enjoying more leisure hours instead of consumption bundles, or a combination of multiple abatement options. Similarly, firms have the abatement options of substituting other intermediate inputs for the polluting intermediate input (e.g. choosing less carbon-intensive fuels in own road transports or other parts of their production process), of substituting capital and labour for intermediate inputs (e.g. choosing more fuel-efficient engines in own road transports or other parts of their production process), or by cutting back the production level or a combination of multiple abatement options.
Revenues generated by the auctioning of EU ETS permits flow out of the country (to the EU Commission). The Swedish government does receive a share of total auctioning revenues (from the EU Commission), but this share is exogenous in the model. Domestic carbon tax revenue accrues to the government.
4.4 Biofuel standards (“Reduktionsplikten”)
Transport fuel blends are specified as functions of a fuel product and fuel standards. Such a function is specified for each combination of a fuel blend (e.g., E10) and matching fuel products (e.g., petrol and ethanol). Multiple fuel products can thus be sold as the same fuel blend. A set of fuel standards, however, ensures that fuel blends meet minimum and maximum volume requirements on the use of biofuel and fossil-fuel products. For example, we require the E10 blend to have a minimum ethanol volume content of 10% and a minimum petrol volume content of 90% initially.
In the model, the fuel standards are implemented with the help of tradable allowances. This is a way of assuming that fuel distributors can distribute the required emission reductions across fuels in the most economically efficient way. Fuel distributors need to submit certain shares of the biofuel allowance (e.g., 10%) and the fossil-fuel allowance (e.g., 90%) for each litre of the fuel blend. At the same time, fuel blends made from the biofuel product (e.g., ethanol) earn one biofuel allowance per litre sold, whereas fuel blends made from the fossil-fuel product (e.g., petrol) earn one fossil-fuel allowance per litre sold. In case the initial biofuel content is too low, demand for the biofuel allowance will exceed its supply, and the allowance price will increase until it is profitable enough to supply the minimum required amount of the biofuel. The same price setting applies to fossil-fuel permits. We interpret the allowance prices as shadow prices of required cross subsidisation between the fuel products since permits have not been introduced in the real world. These prices change the relative prices of the fuel blends.
In real life, the fuel standard for diesel and petrol, respectively, may trade with each other (i.e., an underachievement in the fuel standard for petrol may be compensated by overachieving for diesel and vice versa). Such trade between fuel standards is not implemented in the current model.
4.5 Equilibrium and growth
Households and firms solve their respective optimisation problems. Markets for production factors and final goods are assumed to be perfectly competitive. When all markets clear and household income balances hold, the set of output, price and income levels constitute an equilibrium. The equilibrium is static in that the optimisation problems are based on current-period variables only.
We solve for the static equilibrium in the years 2019 through 2050, allowing us to perform a comparative-static analysis of policies in these years. In between these years, we impose several exogenous changes to the model to let the economy grow, as measured in terms of GDP. For example, factor supplies, energy efficiencies and policies can all change. We cannot account for business-cycle behaviour but instead calculate the new equilibria under the assumption that all agents have sufficient time to adjust their behaviour (e.g., choice of the number of hours worked) to the changes imposed.
4.6 Calibration
The model is calibrated to the Swedish economy in 2019. We use the system of National and Environmental Accounts (Statistics Sweden, 2022) as our main data source for economic activity, energy use and emissions of greenhouse gases. World-market prices for fossil fuels (crude oil, coal and natural gas) and EU ETS emission-permit prices are exogenous to the model and are set according to the EU Commission’s recommended parameter values (EU Commission, 2022). Import prices of biofuels (ethanol and biodiesel) are assumed to rise in line with the crude oil price. The base-year calibration reflects a production cost for ethanol that is 1.5 times the cost of petrol per litre, while for biodiesel, the corresponding figure is 2.5 times relative to fossil diesel. Additional model details on transport fuels and vehicles in the base year are calibrated based on several data sources, including the Swedish Energy Agency (2020; 2021) and Transport Analysis (2020). The relative price of electric vehicles has been calibrated with a downward trend over time to reflect exogenous productivity growth and economies of scale, as well as an implicit cross-subsidy from EU regulation on the emission intensity of new vehicles. The model replicates the strong growth in the sales of new electric passenger vehicles in the period 2019 through 2022.