PNL-SA-22977

THE SECOND GENERATION MODEL OF ENERGY USE, THE ECONOMY, AND GREENHOUSE GAS EMISSIONS


Karen Fisher-Vanden
Jae Edmonds
Hugh Pitcher
Dave Barns
Richard Baron
Sonny Kim
Chris MacCracken
Elizabeth L. Malone
Ronald D. Sands
Marshall Wise

September 1993

Prepared for the U.S. Department of Energy under Contract DE-AC06-76RLO 1830

Presented to the Sixth Annual Federal Forecasters Conference, Crystal City,VA.

Pacific Northwest Laboratory
Washington, DC 20024


ABSTRACT

In this paper we present a long-term forecast of energy use, the economy, and greenhouse gas emissions for the United States. We analyze the cost of reducing greenhouse gas emissions with various policy options. The analysis uses the Second Generation Model (SGM), a computable general equilibrium model. We describe the construction of a reference case for the U.S. economy and greenhouse gas emissions trajectory for the years 1985 to 2030. We explore the impacts of selected policy instruments on the full suite of greenhouse gases within the context of a consistent, dynamic, analysis framework.


ACKNOWLEDGEMENTS

The authors would like to express appreciation to the United States Department of Energy, Office of Energy Research and the Office of Policy, Planning, and Analysis, and to the United States Environmental Protection Agency, for supporting the conduct of this research.


1.0 INTRODUCTION

The global change problem has been a major issue on the public agenda since 1988, when a combination of events including a drought in the United States midwest, Congressional hearings, and an international meeting in Toronto Canada on the subject brought the issue to the forefront of public consciousness. The Toronto meeting set an arbitrary goal of reductions in fossil fuel carbon emissions of 20% for developed nations. The 1992 Framework Convention on Climate Change called on nations to stabilize greenhouse emissions at 1990 levels. And in 1993 the President of the United States pledged the United States to stabilize national greenhouse emissions at 1990 levels by the year 2000. In this paper, we explore policy options for achieving reductions of carbon emissions and their economic implications using the Second Generation Model (SGM) of human activities and global change, a new, computable general equilibrium (CGE) model designed to analyze global change problems. Further, we explore some of the greenhouse emissions consequences of policy proposals such as a BTU tax.

We begin our discussion with a brief description of the model, describe the derivation of reference year parameters, proceed to develop reference case assumptions, describe the resultant reference case scenario, and then explore the costs and benefits of selected policy options for stabilizing greenhouse emissions.


2.0 MODEL DESCRIPTION

In this section we provide a brief overview of the model and its numerical embodiment of the United States economy. The theoretical structure of SGM Version 0.0 is described in detail in Edmonds et al. (1993). The development of estimates for parameters is documented in Fisher-Vanden et al.(1993).

2.1 Origins

The SGM's intellectual roots can be traced to the modeling work of Edmonds, Reilly, and Barns, who developed and exercised the Edmonds-Reilly-Barns model of long-term global energy and greenhouse gas emissions (Edmonds and Reilly, 1985; Edmonds and Reilly, 1986; Edmonds and Barns, 1991). This model (member of the first generation of models) focused on emissions of energy related greenhouse gases. The model was simple and transparent, but had long time steps, did not consider non-energy-related greenhouse gas emissions and sinks, and completely neglected impacts on human systems from global change. The SGM is structured to provide both increased scope (including both energy and non-energy-related emissions activities and a framework designed to assess impacts of global change on human activities), and finer resolution of human activities (including a 5-year time step, enhanced technology descriptions, and an integrated demographic module).

The analysis reported here uses SGM Version 0.0. While 20 global regions are being developed for the global implementation of the SGM, only the United States module is used in this exercise.

2.2 Overview of SGM Version 0.0

In summary, the SGM is a member of the CGE class of models. The SGM Version 0.0 has nine producing sectors:

  1. Agriculture
  2. Crude Oil
  3. Natural Gas Production
  4. Coal Production
  5. Uranium Production and Refinement
  6. Electric Power Generation
  7. Oil Refining
  8. Natural Gas Transformation and Distribution
  9. Other Production

We note that seven of the nine sectors of the economy in SGM Version 0.0 are energy sectors. The emphasis on the energy sector in SGM Version 0.0 reflects the central role energy plays in the determination of emissions of greenhouse gases to the atmosphere.

In addition to the producing sectors of the SGM, there are four final demand sectors:

  1. Households
  2. Government
  3. Investment
  4. Net Export

Producing sectors use goods and services produced by other producing sectors, itself, and primary factors of production to produce net output. The three primary factors of production are:

  1. Land
  2. Labor
  3. Capital

There is a market, which is cleared by the price mechanism, for each producing sector of the economy. Similarly there is a market for each of these three primary factors of production.

The interactions of the main components of the SGM are shown in Figure 1, where the seven energy sectors are included in the energy box. In general energy, agricultural, and other production sectors supply net quantities of goods and services for each other and for final consumption by households, the government, investment, and net exports. Primary factors of production -land, labor and capital- are also used by the producing sectors. Labor and land are assumed to be owned by members of the household sector who supply them to the market. Capital is associated with producing sectors. Net profits are returned to the household sector, while taxes are collected from producers and households and provide the revenues for local, regional, and national governments.

Producing sectors are assumed to make decisions regarding production and investment with the objective of maximizing expected wealth. Governments are assumed to produce government services, including education, national defense, and general services, according to prescribed production functions. Households behave as if they are maximizing utility with regard to the allocation of resources to current consumption; however, the supply of savings and labor is modeled by exogenously specified rules.

All produced goods and services, and primary factors of production pass through markets which are assumed to clear in every period via a price mechanism. Estimates of gaseous emissions are computed in the model via the application of emissions coefficients to inputs and outputs of processes. Variation in these coefficients reflect variation in the emissions characteristics of alternative human activities.

In the remainder of this section, we will briefly highlight some of the more salient features of the SGM.

2.3 Subsectors and Technologies

Within the nine producing sectors of SGM Version 0.0, several sectors have subsectors and technologies defined. Each subsector, defined for a specific sector, is assumed to produce a homogeneous good which becomes part of the total production of the sector. For example, the Electric power generating sector has six subsectors defined: Oil, Gas, Coal, Biomass, Nuclear, and Solar/Hydro. Subsectors defined for the SGM Version 0.0 are shown in Table 1.

Just as sectors can have subsectors, subsectors can have technologies. Technologies are alternative modes for producing the product of the subsector. For example, there may be two technologies for producing electricity with natural gas (a subsector of Electric Power Generation): Conventional combustion, and Combined Cycle combustion. The framework of the model is sufficiently flexible to allow an arbitrary number of technologies to compete.

2.4 Natural Resources

Natural resources are treated explicitly in the SGM, which identifies two forms: depletable and renewable. Depletable resources are consumed in use, for example, fossil fuels. Renewable resources are not consumed in use, for example, land. This distinction is important to the treatment of energy production and transformation, as well as agricultural activities.

Fossil fuels and uranium are treated as depletable natural resources. They are divided into two categories, Resources and Reserves. Reserves are those energy sources whose location is known, which are producible using present technologies under present and anticipated economic conditions, and which investment for extraction purposes has been made. (Some crude oil, discovered conventional, and some Alaskan oil are examples of crude oil reserves.) Resources include all energy sources, including those which are known by location and those whose existence is inferred, those which are producible under present technologies and economic conditions, and those which may require greater incentives to exploit. Total resources include reserves. (In the SGM, reserves are created as economically recoverable resources are discovered). In the SGM, energy production from depletable natural resources occurs only from reserves. The rate of production from reserves depends on the amount of productive capacity put in place with discovery, and prices of inputs and outputs.

Biomass, solar power, and hydroelectric power are renewable resources. Biomass feedstocks are treated as a component of the agricultural production. Total domestic production is therefore constrained both by the total available arable land, and the competition for the use of that land for other purposes. Biomass feedstocks are either transformed to liquids or gases, or consumed as a solid by electric utilities.

Electric utilities also consume solar and hydro power. Hydro power capacity is fixed for the purposes of this analysis. No resource constraint is placed on the solar power component, a source of electricity generation based on photovoltaic array technology.

Land is modeled as a separate factor of production. The identification of land reflects its potential importance as a constraint in emissions reduction strategies which utilize biomass or carbon sequestration by trees.

2.5 Expectations, Capital Formation, and Productivity

In the SGM the demand for capital by producing sectors depends on expected profits. Expectations of profits in turn depends on both the technology which describes the relationship between inputs and outputs, and expected prices overtime, for inputs and outputs, including capital. The SGM provides a variety of options for describing the formation of price (and tax/subsidy) expectations, including assumptions that

  1. Prices will remain at current levels over the expected life of the equipment (assumed in this exercise)
  2. Prices will change at rates which reflect behavior over a prior period of experience, and
  3. Price expectations are exogenously specified (which can be used to generate a rational expectations price path).

The last capability can be used to explore behavior when future prices are known. We note also that different combinations of expectation formation for market prices and taxes/subsidies can be constructed. Thus, the formulation of price expectations is not restricted to the assumption of perfect knowledge about future events.

Sectors and subsectors with the highest expected profits experience the greatest realized investments, although within a sector a logit function distributes investment resources across all subsectors which are economically attractive. Investment opportunities which have zero or negative expected contributions to wealth (after allowing for taxes and subsidies) receive no investment funds. The inclusion of subsidies in the expected contribution to wealth calculation is important.

The SGM uses a "putty-clay" specification of capital. That is, once an investment occurs, capital is permanently associated with that particular application. Thereafter, capital does not move from one sector to another. This is a particularly useful assumption for modeling energy applications where capital investments are highly specialized. It is also not particularly restrictive to the rest of the economy, which is modeled as a single aggregate sector.

Using a vintage approach to modeling capital also means that capital investments become a fixed cost of production. Thus, existing vintages continue to operate as long as they can cover their operating expenses, even if the rate of profit differs from that anticipated at the time the original investment was made. We note here that other factors of production are not fixed; they can be varied to either expand or contract output from an existing facility. Other factors of production also move freely among alternative applications.

Because a production function is associated with each capital investment by application, factor productivity can be manifest as both embodied and disembodied changes in input requirements. That is, combustion efficiencies maybe embodied in the physical plant and vary depending upon the date of installation. On the other hand, agricultural productivities may be weakly associated with capital stocks, and more closely associated with changing management practices and seedstocks. The SGM can represent both types of productivity change.

2.6 Demographics

Estimates of population and its structure are developed within the SGM by a demographic module. The SGM is therefore capable of creating an array of internally consistent estimates of population and critical details such as the associated size of the work age population disaggregated by gender. The SGM demographic module builds population estimates from assumptions about age specific fertility rates, survival rates, and net immigration rates.

2.7 Emissions

The SGM was explicitly designed to provide estimates of gaseous emissions from all human activities, including those associated with energy, agriculture, and industrial processes. Not only does the model yield estimates for carbon emissions, but it also tracks emissions of CO, CH4, VOCs, N20, NOx, and SO2. These emissions are associated with specific human activities, and where appropriate, with specific technologies.

2.8 Data Sources and Calibration

Parameters for the United States module of the SGM are derived so as to be consistent with behavior of the United States economy in 1985, investment behavior over the prior 26 years, and physical flows of energy resources in 1985, as well as the distribution of resources and reserves in that year, the demographic structure of the United States population, and emissions rates by human activity in 1985.

A variety of statistical information was used to develop calibration parameter estimates for the SGM. Table 2 contains a summary of these data, their sources, and an indication of their use.

The methods used to transform data into model parameters is documented in detail in Fisher-Vanden, et al (1993).


3.0 REFERENCE CASE ASSUMPTIONS: 1985-2030

We begin with the analysis of policy options for controlling United States greenhouse gas emissions by constructing a reference case against which to view policy derived impacts. We firmly believe that no reference case that we could construct today is capable of representing the future. An alternative to a single or multiple reference cases is the development of probabilistic scenarios. But while these map out a range of alternative futures systematically, they suffer from problems of specifying input parameter probability distributions as well as problems with covariance among exogenous variables. Furthermore, such scenarios lead to difficulties in analyzing and communicating results. We therefore chose the use of a reference case which is reproducible, and for which policy induced variations can be explained.

The SGM United States module requires input assumptions in six different areas: Demographics, Energy Resources, Productivity Change, Nuclear Power, International Trade, Fiscal Policy, and Emissions Coefficients. We discuss each in this section.

3.1 Demographic Assumptions

The demographic module in SGM Version 0.0 develops population estimates using exogenous fertility, survival, and migration rates. Population is differentiated by gender and 5-year-age group.

Figure 2 shows the demographic profile of the U.S. for our benchmark year of 1985 (Department of Commerce, 1992). The bulge in the chart for the age groups of 20-40 years corresponds to the "baby boom" generation. Even by 1985, it is clear that the cohorts that follow are much smaller. By the first quarter of the next century, the population bulge will have reached retirement age, and the fraction of population that is available for the labor supply may be much smaller than it is currently.

In SGM version 0.0, fertility rates, survival rates, and migration rates are determined exogenously. We have specified initial values for these rates based on data for 1985. We also included a terminal value for each of these rates as a modeling parameter. Both the terminal values and the time to reach the terminal values can be specified by the user. Table 3 shows the initial values of the demographic rates which are assumed to persist throughout the modeled period.

3.2 Depletable Energy Resources and Reserves

By definition the resource base is the total quantity of a resource which could be produced over all time using any conceivable technology. It includes both discovered and undiscovered quantities. It is therefore the physical constraint on cumulative production. As indicated earlier, we distinguish energy resources for oil, gas, and uranium by grades reflecting variation in the ease of extraction which in turn drives costs. Five grades are defined for this exercise. The estimates of the energy content available in each of the five grades (excluding previously consumed quantities), as well as the relative cost of extracting each grade compared to Grade 1 are provided in Table 4.

In the United States coal is by far the most abundant conventional fossil fuel resource. In fact, the domestic supply of coal in the cheapest grade--Grade 1--is enough to sustain current levels of production for nearly 300 years. Natural gas is the next most abundant domestic source of energy, although much of its supplies are in the more expensive grades. Gas resources in the first three grades are sufficient to sustain current production for approximately the next 35 years; therefore, the supply of relatively inexpensive natural gas becomes a binding constraint over the year 2030 study horizon of the model. Currently about half of the oil consumed in the U.S. is imported, so the implications of consumption on domestic resources are not as straightforward. Under current production levels, the supply of oil from the first three grades is clearly a constraint over the next 40 years. However, the future price of foreign oil plays a major role in determining domestic investment in the more expensive grades. Even so, domestic supplies of the more costly grades of oil are limited.

3.3 Productivity Change

One of the more important assumptions affecting the development of a reference description of the United States economy is the set of assumptions which govern productivity change in the variety of human activities in the SGM. Productivity changes in the SGM in either of two ways, through smooth changes in production function coefficients associated with new investment options, which we refer to as general productivity growth, or by the introduction of a new technology option at a specific point in time.1

Assumed rates of change for general, Hicks neutral, productivity in new investments are given in Table 5.

Since the Other Production Sector produces approximately 85 percent of total output, the productivity growth rate of this sector was adjusted to attain a growth forecast of the U.S. economy similar to what was assumed in the National Energy Strategy. Lack of detailed knowledge of variations in future productivity growth between sectors resulted in the assumption of no variation in productivity growth rates between the first five sectors and the Other Production Sector. Future versions of the SGM will incorporate current research in this area to better define variations in productivity growth between these sectors.

Productivity growth rates in two of the three energy transformation sectors are set to 0.0% per year to maintain energy balances between inputs and outputs. These three sectors--Electric Power Generation, Oil Refining, and Natural Gas Transformation--differ from the other producing sectors because they use large quantities of energy as inputs; most of which is passed through as output instead of being consumed. For example, the amount of energy leaving the gas distribution sector is nearly equal to the energy coming in, with almost no opportunity for improvement in the ratio of energy output to energy input. In these sectors changes in productivity are modeled as discrete changes in available production functions over time.

Although productivity improvements in the Electric Power Sector are handled mainly through the incorporation of new technologies in the SGM, small productivity improvements resulting from changes in management practices warrant the inclusion of a small neutral productivity growth assumption. This value (0.2) was chosen in order to attain results within the Electric Power Sector similar to those found in AE093.

This analysis allows five new technologies to be introduced after 1990: liquids from biomass, gases from biomass, solar electric power, clean coal, and new gas turbine. Cost assumptions used to estimate production function parameters for these five technologies are given in Table 6.

The two biomass technologies purchase their feedstock (wood) from the SGM's agricultural sector, thereby competing with other agricultural products for land. Future versions of the SGM will split the Agriculture sector into various crop sectors as well as a biomass feedstock sector.

The SGM allows for electricity sector investments in solar photovoltaics, a clean coal technology (Atmospheric Fluidized Bed Combustion), and a new gas turbine technology (Natural Gas Combined Cycle) beginning in the year 1990. New capital equipment is required for both generation and distribution. Operation and maintenance costs are very small relative to capital costs. Cost assumptions for solar are somewhat optimistic for the near term.

3.4 International Trade

Because world trade occurs, a single region model is not closed. Closing the SGM requires assumptions about the region's interactions with the rest of the world. These are given in Table 7. The crude oil market is assumed to be open, and the model can import or export as much as it wishes at an exogenously specified price. (This price path is taken from DOE (1991 b)). The trade account is assumed to be balanced. This is accomplished by setting net exports of the Other Production sector, Sector 9, to the negative of the sum of net exports from other sectors.

3.5 Fiscal Policy

Budgets for all government activities taken together, including federal, state, and local, are assumed to be balanced. That is, federal deficits are assumed to be offset by state and local surpluses.


4.0 THE REFERENCE CASE

The assumptions discussed in the preceding section generate a reference case trajectory for the United States economy, energy system, and greenhouse gas emissions. We discuss each in turn.

4.1 The Reference Case Economy

While the rate of population growth and level of economic activity are input assumptions for many models, they are results of the SGM. We begin by discussing trends in population and economic activity. Figure 3 shows the Realtors national product (GNP) and its three principal components: consumption, investment, and government spending (recall that net exports are zero by assumption). GNP grows throughout the period of analysis, more than doubling between 1985 and 2030. We note, however, that the rate of growth slows distinctly after the year 2010. The rate of population growth slows to 0.29 percent/yr after 2010 compared with the post world war II period average of 1.01 percent/yr. By 2030, population is actually declining, even given relatively high immigration rates, and a decline in mortality rates.

In order to understand the economic forces at work within the SGM, it is useful to examine why GNP growth falls from 1995 to 2030. The decline is steady from 1995 to 2025 when growth rates appear to stabilize at about a half percent per year. This drop occurs primarily because of the fall in the size of working age population (Figure 4), from 182.5 million in 2010 to 167.8 million by 2030, an 8.0 percent decline. This leads to only a 2.9 percent reduction in the number of workers (149.2 million to 144.9 million) during the period 2010 to 2030 as labor force participation increases from 81.8 percent to 86.4 percent, and wage income per worker per year rises from $33,190 per year to $44,380 per year. As might be expected given the scarcity of labor, the capital/labor ratio increases over the same time frame from $136.9 to $165 million per 1000 workers, continuing the trend seen earlier (Table 8).

Since labor is scarce, the price of labor rises over time, leading to a substitution away from labor. This is seen in the much larger decline in the ratio of labor to output than in the ratio of capital to output. Figure 5 presents the path of prices for factors of production capital, labor, and land. Not only does the price of labor rise, but the fraction of the working age population at work rises as seen in Table 8.

The decline in the work age population has another route for affecting growth rates. Part of the determinant of the desired investment is the change in the rate of potential growth of the economy, namely the change in worker productivity and the change in working age population .

While productivity, measured as GNP/Worker, continues to grow rapidly (Table 9), working age population peaks in 2010 and then declines, thus depressing growth in investment. Examination of the components of GNP makes this clear, as investment becomes static after 2015. This leads to an increase in the average age of capital, slowing down the rate at which technical change in realized in the economy. (By assumption, neutral technical change occurs at a constant pace in each industry).

4.2 The Reference Case Energy System

Total primary energy use increases steadily over the modeling period with an overall increase of approximately 55 percent between the years 1990 and 2030 (Figure 6). A period of rapid increase (averaging more than one percent annually) occurs during the period 1990 and 2005 mirroring the steady growth in the economy. A relative modest growth (less than half a percent average annual rate) in primary energy consumption occurs between 2005 and 2020 as a result of a slowdown in the economy, and an increase in oil and gas energy prices caused by the depletion of the less costly grades of domestic resources. This leads to a decrease in the ratio of energy use to GNP during this period. A period of accelerated growth in the last 10 years of the analysis (an average annual growth of slightly less than one percent per year) occurs due to a shift to electricity consumption increasing the consumption of coal.

Oil remains the dominant fuel over this period (despite the fact that its price is assumed to rise by more than 50 percent between the years 1990 and 2010) rising to almost 50 exajoules per year by the year 2015. Consumption is relatively stable throughout the remainder of the period of analysis. The escalation in oil consumption leads to a substantial increase in oil imports beginning in the year 1990.

The only primary energy carrier whose price remains relatively stable is coal. We note that the price of electricity rises by about 50 percent between the years 1990 and 2010, but the introduction of improved technologies and a decline in coal prices lead to a reduction of cost by more than one third between 2010 and 2030.

The relative stability of the price of coal compared to other fuels leads to an increase of domestic coal production and consumption which rises by more than 50 percent between 1990 and 2030. Natural gas consumption increases by 40 percent between 1990 and 2015, but depletion of the least expensive grades of domestic natural gas resources after 2015 causes a sharp increase in the price of natural gas and thus stabilizes consumption.

The assumption that no new nuclear powerplants are built leads to a stable pattern of nuclear electricity production in the near term, but after the year 2010 production declines steadily until all nuclear facilities are retired in the year 2025.

Electric power consumption as a whole expands steadily over the period of analysis. Larger increases in consumption of electric power occur after 2015, when a fall in the relative price of coal causes a shift towards electricity consumption.

4.3 Reference Case Greenhouse Gas Emissions

The focus of this analysis is to assess policy options for stabilizing United States greenhouse gas emissions by the year 2000 at 1990 levels. The reference emissions provide an important point of departure. We begin by examining anthropogenic carbon emissions. In the United States carbon is emitted predominantly by fossil fuel combustion, though total emissions include emissions from other human activities, notably cement manufacture and agriculture.2 The time profile of emissions of carbon is shown in Figure 7. In the reference case emissions are anticipated to rise relatively rapidly between the years 1990 and 2000, at an average rate of 1.6 percent per year. The somewhat more rapid ramp-up in emissions than in total energy use is the consequence of an increased fraction of coal in the energy mix. While the rate of growth of carbon emissions declines somewhat over time, the continuing increase in the share of energy use in the form of coal results in a growth in carbon emissions that remains above that of total energy use.

Emissions from other greenhouse gases are displayed in Figure 8. Since the majority of carbon monoxide (CO) emissions are a result of oil combustion activities, we see the growth in these emissions mirroring that of oil consumption. Since we see a steady increase in oil consumption over the modeling period, we also see a steady rise in CO emissions. Other greenhouse gas emissions also experience a steady increase over the modeling period. SOx emissions stabilize after 2000 but rise again after 2020, mirroring coal consumption during this period.


5.0 STABILIZING UNITED STATES GREENHOUSE GAS EMISSIONS

The issue which we consider in this paper is strategies for stabilizing United States emissions of greenhouse gases at 1990 levels by the year 2000. Due to the complexity of comparing the various gases' impact on the earth's radiation balance, we chose to focus our analysis in this paper on the stabilization of fossil fuel carbon emissions; the simplest concept to measure and regulate.3

Two strategies for stabilizing carbon emissions were analyzed:; (1) constant and variable taxes on fossil fuels based on each fuels carbon content; and (2) variable energy taxes on fossil fuels based on each fuel's energy (BTU) content.

5.1 Carbon Taxes

The imposition of carbon taxes is the most direct price instrument to reduce carbon emissions. A policy of carbon taxes was modeled in the SGM as a tax on the production of fossil fuels applied as an additive tax based on the proportion of each fuel's carbon content (i.e., $ per ton of carbon (TC)).Carbon taxes affect carbon emissions and economic factors by raising the price of fossil fuel by the amount of the additive tax. Based on the known carbon content of various fuels, Table 10 shows how a $135/TC carbon tax (the lowest constant tax rate which would achieve carbon emissions stabilization) is translated into price increases for each of these fuels. The price increase is largest for coal since coal contains the largest concentration of carbon per 106 Btu.

Restricting the concept of greenhouse gas emissions narrowly implies that some potentially cost effective measures to reduce net carbon emissions to the atmosphere might be missed, implying higher than necessary costs for achieving any emissions reduction objective.

Carbon Emissions

The SGM was used to determine the carbon tax rate required in each period to offset carbon emissions above the 1990 emissions level. These tax rates are shown in Figure 9. Tax rates begin at $43/TC in 1995 and rise steadily until 2015 when a peak tax rate of $140/TC is reached.4 All revenue received from the carbon tax is recycled back to households as additions to personal income. Higher carbon tax rates after 2015 are not required due to a fall in the ratio of carbon (in TgC) to real GNP, implying a shift to more energy-efficient methods of production and less carbon-intensive fuel use.

Figure 10 compares the level of carbon emissions under a "business-as-usual" scenario with various "flat" carbon tax and "stabilization" carbon tax options. Assuming a carbon emissions reduction goal to maintain carbon emissions below the 1990 level, the SGM shows that a flat carbon tax of no less than $135/TC is required.

Impacts on GNP and Consumption

Figure 10 also shows that the $135/TC flat tax case results in an exceedance of the emissions reductions required in the years 1990 to 2030 to stabilize emissions. This will result in greater economic losses than the "stabilization" tax case. Figures 11 and 12 show the percent loss in GNP and consumption, respectively, resulting from a $135/TC "flat" carbon tax and "stabilization" carbon tax. As expected, the $135/TC tax case results in much lower growth rates than the "stabilization" case in the beginning years but converges with the "stabilization" case in later years.

It is interesting to note that the peak variable tax rate ($140/TC in the year 2015) is higher than the constant tax rate ($135/TC). This is attributable to the fact that the constant tax rate of $135/TC is built into earlier investment decisions (by way of expected prices) while the tax trajectory is not know in the case of the variable tax, thus not allowing producers to make the most optimal investment decisions. However, the difference between the two tax rates ($135/TC and $140/TC) is small, implying that the additional knowledge of future tax rates makes small differences in investment decisions.

The "flat" and "stabilization" carbon tax cases result in similar impacts, differing only in the size of the impacts; therefore, it would suffice to concentrate on the impacts of one. Since the "stabilization" tax case achieves stabilization of carbon emissions with the least economic cost, any future comparisons will concentrate on this carbon tax case.

Impacts on Primary Energy Consumption

Results from the SGM show a dual effect on primary energy consumption resulting from carbon taxes - a reduction in total primary energy consumption and a shift to lower carbon emitting fuels. Reductions in total primary energy consumption range from 8 percent in 1995 to 19 percent in 2030, while the share of coal consumed (out of all primary fuels) falls from 26 percent to 18 percent in 2030. This would indicate that the carbon taxes had a greater effect on reducing overall energy consumption than shifting energy consumption from higher carbon emitting fuels to lower ones. The Electricity Sector experiences similar impacts with the reduction in total fuel consumption outweighing the shift from more carbon-intensive fuels to less carbon-intensive ones. It is interesting to note, however, that although electricity fuel consumption drops by 28 percent in 2030, total electricity generated only drops by 9 percent. This can be attributed to a shift to less carbon intensive fuels, which are associated with more energy efficient methods of generation.

The variable carbon tax also has effect of making biomass fuels economically attractive in the later years. In the reference case, no biomass fuel production occurs throughout the modeling period 1990 to 2030. With the implementation of carbon taxes, we see both liquid and gaseous fuels from biomass being produced. By 2025, gaseous fuels from biomass make up 17 percent of total gas produced, while liquid fuels from biomass only make up 0.4% of total refined liquids produced.

Impacts on Energy Resources

Further evidence that carbon taxes have a greater impact on energy efficiency than on substitution of less carbon-intensive fuels can be seen in the depletion of energy resources. Instead of seeing a more rapid depletion of less carbon-intensive fuels (e.g., natural gas) than the reference case, production of these fuels falls with the imposition of carbon taxes, leading to less depletion of these resources. In addition, as would be expected, production of the more carbon intensive fuels is lower with the imposition of carbon taxes, leading to less depletion of these resources also.

Ratios

A shift to more energy efficient modes of production in reaction to carbon taxes is also apparent when we look at the ratio of energy use (in EJ) to GNP (in trillion $). Differences from the reference case range from 8.1 percent in 1995 to 18.3 percent in 2030. To a much lesser extent, the fossil fuel use (in EJ) to energy use (in EJ) ratio shows a shift to less carbon intensive fossil fuels with a drop in this ratio of 2.1 percent in 2030 from the reference case, proving that carbon emissions reductions were obtained mainly through energy efficiency measures. Lastly, since population projections do not differ between cases, the fall in the ratio of GNP to population resulting from carbon taxes mirrors the loss in GNP. This loss ranges from 0.4 percent in 1995 to 0.7 percent in 2030.

5.2 Energy Tax

Another policy option which has the effect of reducing overall carbon emissions is a tax on energy use. The Clinton Administration, as part of its budget proposal, suggests a tax based on the BTU content of the various energy sources (i.e., all fossil fuels, and nuclear and hydro electric power generation). Points of tax collection would be at the minemouth for coal, refinery for crude oil, pipelines for natural gas, utilities for hydro and nuclear power, and points of importation for imported electricity and petroleum products. Nonconventional energy sources such as solar and wind would be excluded from the tax. Clinton's BTU energy tax calls for a basic rate of 25.7 cents per million BTUs with a supplemental oil tax of 34.2 cents per million BTUs (amounting to a 59.9 cents per million BTUs tax on oil). This energy tax is equivalent to $28.50, $17.70, and $10.10 per tonne of carbon for oil, gas and coal respectively.5 In comparison with the carbon taxes discussed above, the Clinton Administration's energy tax is relatively small. SGM results show small impacts by 2030 as a result of the proposed Clinton energy tax with a 0.18 percent decline in GNP, a 3 percent decline in primary energy consumption, and a 3 percent fall in total carbon emissions.

In this modeling exercise, we impose the general structure of Clinton's energy tax on a policy to stabilize carbon emissions to the 1990 level. That is, the basic rate of 25.7 cents per million BTUs is increased until carbon emissions are stabilized in each period at the 1990 emissions level. (The supplemental oil tax is also increased in the same proportion as the basic rate). In the SGM, the energy tax is imposed on the refined oil, refined gas, coal and uranium sectors, and the hydro electric power subsector beginning in 1995. As in the carbon tax stabilization case, all tax revenue from the energy tax is recycled to the household sector as additions to personal income.

Carbon Emissions

As in the variable carbon tax case, the SGM was used to determine the energy tax rate required in each period to offset carbon emissions above the 1990 emissions level. These tax rates are shown in Figure 13. The energy tax rate trajectory follows a similar path to that of the carbon tax with rates rising steadily from 1995 to 2015 when the peak rate is reached. Energy tax rates begin at $1.03/MBTU in 1995 and rise steadily until 2015 when a peak tax rate of $3.53/MBTU is reached.6

Figure 14 shows total tax revenue from both stabilization cases (carbon tax versus energy tax). As is expected, total tax required to stabilize carbon emissions is lower in each period with a carbon tax policy option. From a tax standpoint, carbon taxes are more effective at reducing carbon emissions since this tax targets the carbon content of fuels.

Figure 15 compares the stabilization carbon tax rates and energy tax rates (converted to $/TC) applied to the coal sector. We see a larger impact from a carbon tax on this sector in the years 1995 to 2015 because this tax has the effect of reducing use of the more carbon-intensive fuels first; notably coal. As coal is driven out in the beginning periods, carbon emission reductions in later years is obtained by reductions in other fuels. An energy tax, on the other hand, has the effect of reducing overall energy use and, due to the supplemental tax on oil, reducing refined oil consumption. Carbon emission reductions are achieved in each period by targeting reductions in the use of each energy source with a emphasis on refined oil. In figure 15 carbon taxes have a greater impact on the coal sector in the early years since reductions in coal use is targeted with this policy option while an energy tax does not specifically target use of this fuel. In the later years, carbon emission reductions are still obtainable from the coal sector with an energy tax since this policy option did not drive out coal use in the beginning years like a carbon tax. Therefore, we see a shift where a energy tax has a larger impact than a carbon tax on the coal sector in the later years.

Impacts on GNP, Consumption, and Investment

Due to the higher total tax imposed on the economy with a stabilization energy tax, the impacts on GNP and consumption are slightly greater with this tax option than with a carbon tax as shown in figure 16. Reductions in GNP from a stabilization energy tax range from 0.6 percent in 1995 to 1.7 percent in 2015 while reductions from a stabilization carbon tax range from 0.4 percent in 1995 to 1.2 percent in 2015. Reductions in consumption follow a similar track with reductions ranging from 0.1 percent in 1995 to 1.1 percent in 2015 with an energy tax while a carbon tax results in reductions of 0.02 percent in 1995 to 0.8 percent in 2015.

The energy tax has a greater impact on investment as compared to the carbon tax case especially in later years. Reductions in 1995 investment are 1.28 percent with an energy tax and 1.02 percent with a carbon tax while reductions in 2020 are 2.22 percent with an energy tax and 0.97 percent with a carbon tax. Since the model allows for shifts in capital inputs only in the long-term (the "putty-clay" assumption), it makes sense that investment under a carbon tax would shift to less carbon-intensive energy production. With the energy tax option, however, all energy sources are targeted (with emphasis on refined oil); therefore, the effects of this tax would be to decrease overall investment in energy production .

Impacts on Primary Energy Consumption

Figure 17 shows the impacts of both stabilization tax options on primary energy consumption. Both taxes result in similar impacts on energy consumption with the energy tax resulting in slightly larger impacts. Since an energy tax effects all sources of energy, we would expect this policy option to result in lower overall energy use when compared to a carbon tax policy option.

With both tax cases, we see a shift in electricity fuel consumption from oil and coal to natural gas and renewables. This is because the percent increase in price of oil and coal is greater than that of gas in both tax cases causing as shift to gas consumption.7 The difference between the two cases is out of which fuel most of the shifting is taking place. Due to the supplemental tax on refined oil with the energy tax, we see most of the decline in electricity fuel consumption coming from refined oil; in fact, refined oil use in the electricity sector is completely phased out by 2000 under an energy tax whereas, under a carbon tax, oil is not phased out until after 2025. With a carbon tax, most of the decline in electricity fuel consumption comes from coal. In either case, the amount of electricity generated is essentially the same implying that each tax option has the same effect on electricity generation.

As with carbon taxes, we see the emergence of gaseous fuels from biomass with an energy tax with gas from biomass making up 14 percent (compared to 17 percent with the carbon tax) of gas production in 2025. No production of liquids from biomass occurs since the energy tax does not distinguish between feedstocks of the refined liquids in its supplemental tax on this sector. (We see a larger amount of the biomass fuels being produced with the carbon tax since these fuels are exempt from any carbon tax; unlike in the energy tax case where all sources of energy are affected).

Impacts on Energy Resources

In both tax cases, we see a faster depletion of natural gas than the reference case. This is due to a shift from oil and coal use in both cases to a more energy-efficient and less carbon-intensive use of energy; namely natural gas. As explained above, this shift is due to the larger percent increases in price of oil and coal than gas in both tax cases.

Ratios

As with a carbon tax, an energy tax results in more energy-efficient and less carbon-intensive energy use. As would be expected, since an energy tax targets all energy sources and does not target those which are more carbon-intensive, we see a slightly faster decline in the ratio of energy to GNP with an energy tax than with a carbon tax. In addition, we see a slightly slower decline in the ratio of carbon to energy with an energy tax than with a carbon tax for the same reason. Lastly, due to the larger reductions in GNP with an energy tax, we see a slightly smaller decrease in the ratio of GNP to population with a energy tax than with a carbon tax.


6.0 CONCLUSIONS

The purpose of this paper was to demonstrate some of the capabilities of the SGM and to specifically show its effectiveness as a long-term model of energy use, the economy, and greenhouse gas emissions. The model was designed to assess global emissions from all human activities and the major direct and indirect consequences of potential policies to reduce emissions, capabilities that no currently existing model possesses. As obvious from the model design, the SGM is capable of a wide array of modeling exercises which have not been presented in this paper. Examples include (1) various tax revenue recycling options; (2) reforestation as a policy option; (3) emissions trading as a policy option; (3) new investment in nuclear energy; (4) investment tax credits; (5) new source compliance; and (6) implementation of new energy technologies and retrofits, to name a few.

Future versions of the SGM will further expand on the capabilities of the model. Future expansions of the model include the provision of energy services and traditional biomass fuels, and the addition of a detailed description of the agriculture and health sectors to enable the model to consider the consequences of atmosphere and climate change in detail.


Other Figures

Figure 11 % Reduction in Real GNP from Reference Case.

Figure 12 % Reduction in Real Consumption from Reference Case.

Figure 13 Energy Tax for CO2 Stabilization to 1990 Level.

Figure 14 Tax Revenues.

Figure 15 Taxes for CO2 Stabilization to 1990 Level (Energy tax converted to carbon tax based on carbon content of coal.)

Figure 16 % Reduction in GNP from Reference Casse (Base Year Prices).

Figure 17 % Reduction in Primary Energy Consumption from Reference Case.


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1 Similarly the model can remove technologies from the available set e.g., when new source performance standards are introduced.

2 We note that the dominant non-energy related emissions of carbon are from ruminant livestock, and are given off in the form of CH4.

3 The concept of a global warming potential (GWP) was developed by the Intergovernmental Panel on Climate Change (IPCC) and elsewhere, to provide a metric by which to compare the various gases. But problems In defining these coefficients have emerged which have been most acute with regard to those gases with the greatest indirect effects on climate change; precisely those gases for which the GWP is most important.

4 Using a 1985 price for crude oil, natural gas, and coal of $4.15,S2.26. and S1.15 per MBTU, respectively (Annual Energy Review, 1991), a $43/TC carbon tax would amount to an increase in price ranging from 22 percent for oil to 93 percent for coal while a $140/TC carbon tax would amount to an increase ranging from 71 percent for oil to 304 percent for coal.

5 The conversion of an energy tax to a carbon tax was done by dividing the $/BTU energy tax by the amount of carbon per BTU in each fuel. The amount of carbon per BTU is highest for coal and lowest for natural gas;therefore, given a basic energy tax rate of $0.257/BTU across all fuels, coal has the lowest $/TC carbon tax rate. Oil has the highest carbon tax rate since it includes a $0.342/BTU supplemental tax.

6 Assuming a 1985 price paid by electric utilities for refined oil, gas, and coal of $4.35, $3.43, and $1.65 per MBTU. respectively (Annual Energy Review, 1991), an energy tax of $1.03/MBTU amounts to an increase in price ranging from 24 percent for oil to 62 percent for coal while an energy tax of $3.53/ MBTU amounts to an increase in price ranging from 81 percent for oil to 214 percent for coal.

7 Although the reasons why oil and coal experience a larger increase in price than gas under a carbon tax is straightforward (since the tax is based on carbon content, the more carbon-intensive fuels will face a larger tax), the reasons under an energy tax are more elusive. In the baseyear, coal is the cheaper fuel (in $/BTU) as compared to gas. (Conversely, more energy (BTU) per dollar is obtainable with coal imposing a constant energy tax ($/BTU) on both coal and gas. We see that the tax increases the price of coal more than gas since the baseyear price of coal is lower. (This can been seen by dividing the $/BTU energy tax by the $/BTU baseyear price of coal). The oil price increase is due to the same reason in addition to a supplemental oil tax.


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