A brief synopsis of MIT Professor John Sterman's 1981 system dynamics analysis of the effect of the energy transition on the US economy.

(Below are the Abstract, Introduction, Summary and Conclusion of: Sterman JD. 1981. The Energy Transition and the Economy: A System Dynamics Approach, MIT PhD Thesis, Volume I and II. Sloan School of Management) pp. 2-3, 8-24, 352-369. [references and figures not included at present])

Professor Sterman is presently Director of the MIT System Dynamics Group at the Sloan School of Management.

ABSTRACT

The United States is currently undergoing a transition from rapidly depleting, nonrenewable oil and gas to unconventional energy sources. Unlike previous transitions, the current transition will be marked by rising real energy prices and may profoundly affect the economy. Despite the acknowledged urgency of the problem, there is little agreement on the nature and relative importance of the many interconnections between energy and the economy. The purpose of the thesis is to develop an integrating framework to evaluate the effects of depletion and rising energy prices on economic growth, inflation, and other key economic and energy indicators.

A system dynamics model is developed for the analysis. The model provides a general disequilibrium representation of the major linkages between the energy sector and the economy. GNP, consumption, investment, wages, and prices, and other major energy and economic aggregates are determined endogenously. Though the model generates the macroeconomic dynamics of the economy, it is based on an explicitly behavioral theory of economic decision-making at the microeconomic level of individuals and firms.

Results show a substantial potential for the first-order effects of depletion (rising capital requirements for energy production, rising real energy prices) to be amplified by feedback mechanisms in the economy, worsening economic performance. Delays in substitution and the development of new energy sources further exacerbate the intermediate term impact of depletion. In particular:

  1. Depletion of conventional energy resources will continue to depress production and boost energy prices, despite a transient increase in discoveries and production caused by deregulation.
  2. The fraction of national output devoted to energy production overshoots its long run value, reducing the resources available to non-energy sectors for growth and consumption. Delays in the adjustment of energy efficiencies to higher prices due to the long life of energy consuming capital cause the overshoot.
  3. The real price of energy may substantially overshoot its long-run value. The high input requirements and long lead times of unconventional energy technologies lead to financial stress which causes the price of unconventional energy to overshoot its equilibrium value. The overshoot of energy prices worsens the intermediate term impact of depletion.
  4. The transmission channels and structural mechanisms responsible for the economic consequences of depletion are identified and analyzed through sensitivity tests. The major modes of behavior and characteristic responses of the system to policies are found to be robust with respect to large variations in the strength of the transmission channels and in major assumptions.

Chapter 1: THE ENERGY TRANSITION AND THE ECONOMY

1.1 Introduction and Overview

The 1970s may well be remembered as a turning point in the economic history of the United States. In 1970, domestic production of petroleum peaked. Two years later, production of natural gas peaked [1]. Less than two years later, the economic and strategic vulnerability of the United States was forcefully demonstrated by OPEC, leading to the call for energy independence. The rest of the decade brought a succession of disappointments and lowered expectations. Both oil and gas output declined steadily. Coal was again hailed as king but failed to ascend the throne. Nuclear power generated a critical mass of safety, environmental, and ethical opposition which has brought its development to a virtual standstill. As the nation enters the last decades of the twentieth century, oil imports remain at dangerously high levels, alternative energy sources remain largely untapped, and energy prices continue to rise.

The United States finds itself thrust into a transition. Dependent on nonrenewable oil and gas for about three-fouths of its energy, the nation must find a way to do without these rapidly depleting fuels. Such transitions have occurred before. Figure 1.1 shows the energy transitions of the industrial era in the United States. The two previous transitions each required about sixty years, providing a useful time frame for consideration of the current transition. But unlike the shift from wood to coal and from coal to oil, the transition to a post-petroleum era comes on us unwillingly, through depletion. Unlike the previous transitions shown in the figure, there is no readily available replacement for dwindling oil and gas reserves. Unlike the previous transitions, the nation is dependent on unprecedented amounts of energy (per capita energy use is about 10 times greater now than a century ago while total energy use expanded nearly 35 times in the same period). Unlike the previous transitions, the current transition will be marked by rising real energy prices. Never again will the nation enjoy energy as abundant, inexpensive, and environmentally benign. [3]

Since 1973 there has been growing awareness that the energy transition will be more difficult, time consuming, and expensive than anticipated. There are already many signs of economic stress. During the 1970s, economic growth faltered from the 3.7%/year rate of the 1950s and 1960s to 2.7%/year. The nation experienced the two deepest recessions since the Great Depression, high unemployment, large trade deficits, slackened productivity growth, and the most severe peacetime inflation in U.S. history. While not all the nation's economic woes can be traced to energy, the impact of energy on the economic health of the nation is undeniable. The unemployment, factory shutdowns, hardship, and inconvenience caused by the OPEC embargo of 1973, natural gas shortages of 1976, coal strike of 1978, and gasoline shortages of 1979 all suggest the importance of energy in a modern industrial economy. But energy also affects the economy in more subtle ways: energy prices outpaced inflation for most of the decade, raising the real price of energy and adding to inflationary pressures; growing capital requirements for energy production threaten investment in other sectors of the economy; the costs of producing synthetic fuels and other alternative sources rise as OPEC prices rise; and high OPEC prices transfer income and wealth from oil consuming nations to oil producing nations.

Despite the signs of stress and the acknowledged urgency of the problem there is little agreement on the nature, strength, and relative importance of the myriad interconnections between energy and the economy. A framework is needed to integrate in a consistent and realistic manner the dynamic effects of energy depletion and rising energy costs on economic growth, inflation, and the standard of living.

This study seeks to develop such a framework. The framework consists of a system dynamics model of the national economy. The model is designed to provide a vehicle for understanding the role of energy in the economy and for evaluating the macroeconomic consequences of energy policies. Based on an explicit causal theory of economic behavior at the level of individuals and firms, the model endogenously generates the major energy and economic aggregates including GNP, consumption, investment, real and nominal wages and prices, the rate of inflation, interest rates, and energy production, imports and prices. Because of the model's detailed behavioral representation of the physical and decision-making structure of the various sectors of the economy, policy initiatives such as price controls, tax credits, and subsidies for energy production can be tested realistically in a macroeconomic context.

As a case study, the model is used to gauge the potential for depletion of conventional energy resources to influence economic growth and inflation. The analysis isolates and explores the structural mechanisms and disequilibrium dynamics responsible for the macroeconomic effects. Special consideration is given to the potential for the first-order effects of depletion (declining energy production, rising energy prices, growing capital requirements for energy production) to be amplified by feedback mechanisms in the economy and for delays in substitution and the development of new energy sources to worsen the intermediate-term impact of depletion [4].

The next chapter establishes the need for an integrating framework by examining the models currently available for energy-economic analysis. The discussion of the assumptions made in existing models is used to develop criteria for dynamic modeling of energy-economy interactions. Chapter 3 describes the structure of the model in non-technical terms. Chapter 4 examines the ability of the model to replicate the historical behavior of the energy-economy system, presents the analysis of the effects of depletion on economic growth and the real economy, and explores the sensitivity of the real effects to major uncertainties. Chapter 5 discusses the effects of depletion on inflation. In Chapter 6, the use of the model for policy analysis is demonstrated through detailed examination of a large excise tax on energy coupled with compensating reductions in income taxes. Finally, Chapter 7 summarizes the conclusions, offers caveats where necessary on the limitations of the model, and closes with a discussion of possible extensions to the model. The appendices provide a detailed description of the model equations, the data sources, and instructions for reproducing the simulations presented below. ...

1.2 Transition Dynamics: Smooth Adjustment or Crisis?

The analysis presented in the next chapters focuses on the dynamics of the energy transition, on the possible paths the economy may travel over the next decades as the nation moves into a new era of energy use. The dynamic perspective emphasizes the trip more than the final destination. For example, there is widespread agreement that the long-run impact of an increase in real energy prices on GNP is likely to be small. A highly simplified calculation illustrates the reasoning involved: it is argued that since the energy sector comprises only a small fraction of the total economy (about 8%), a 10% increase in real energy prices would only reduce GNP by 0.8% even if there were no possibility of reducing energy use through substitution and conservation.[5] Even a doubling of real energy prices would reduce GNP, at most, by 8% in the long run. Even assuming such a calculation to be valid for the long run, how would that 8% be distributed over time?...

(under construction)

Chapter 7: SUMMARY AND CONCLUSION

The United States is currently undergoing a transition from nonrenewable and rapidly depleting energy sources to, ultimately, renewable energy sources. Though energy transitions are not new in the history of the country, the current transition has been thrust on the nation through depletion, with no readily available replacements for declining oil and gas resources.

The purpose of this study is to demonstrate the importance of the interactions between the energy sector and the economy at large in studies and policy planning related to the energy transition. Focusing on the journey rather than the destination, the study stresses the adjustment path and disequilibrium dynamics likely to arise as the economy moves through the energy transition. In contrast to many studies of energy-economy interactions which emphasize equilibrium, this study suggests the road to an economy freed from dependence on nonrenewable energy sources is likely to be quite long and rocky, even when a number of idealized and optimistic assumptions are made to cushion the ride.

The feedbacks between energy and the economy and the delays in the adjustment of the economy to the changes wrought by depletion appear to be crucial determinants of both economic behavior and the evolution of the energy sector itself during the transition - a period likely to persist well into the next century. Consequently, neither energy planning nor economic policy can be conducted in isolation from the other, or without consideration of the disequalibrium dynamics of the transition and the long-term (ten to fifty years) repercussions of decisions made in response to short-term pressures.

The substantive findings supporting these conclusions are summarized below, followed by methodological implications for research into energy-economy interactions. Finally, the limitations of the present study are discussed and important extensions identified.

7.1 Depletion and the Real Economy

The model shows the economic consequences of depletion are much more severe during the transition period (extending to approximately 2030) than in the long run or equilibrium state. The magnitude of the economic effects is found to be substantial in absolute terms as well, including reductions in economic growth (and possibly actual reductions in GNP itself), increased unemployment, inflationary stress, higher real interest rates, and reduced consumption per capita. Three fundamental forces cause the large transition effects:
  1. Depletion of conventional energy resources will continue to depress production and boost energy prices, despite a transient increase in discoveries and production induced by deregulation.
  2. Delays in the adjustment of energy efficiencies to higher prices throughout the economy force the fraction of national output devoted to the energy sector to overshoot its long-run equilibrium value, reducing the productive resources available to nonenergy sectors for growth and consumption.
  3. Led by escalation in the price of unconventional energy sources, real energy prices overshoot their final equilibrium, substantially worsening the intermediate-term impact of depletion, delaying the development of unconventional energy sources, and maintaining import dependence.
Analysis of these forces reveals important disequilibrium dynamics and interdependencies between sectors that amplify the first-order impacts of depletion and delay the resolution of the energy transition.
7.1.1 Amplification of the First-Order Effects of Depletion
Depletion reduces the productivity of the conventional energy industry. More capital, labor, and energy are required to discover and develop each additional unit of energy, directly reducing the productivity of the economy. However, the model identified two forces that cause the productive resources of the economy devoted to conventional energy production and the price of conventional energy to rise above the levels indicated by the physical reduction in productivity alone.

First, as depletion continues to raise the price of conventional energy, energy demand will eventually shift to unconventional sources. As demand for conventional energy drops, the desired workforce and capital stock in the conventional energy sector will drop. Because of long delays in the adjustment of capital to its desired level (both construction delays and the long life of capital itself), and to a lesser extent, delays in the migration of labor between geographical regions and industries, there is transient but significant under-utilization of capital and unemployment of labor in the conventional energy sector as energy demand shifts to unconventional sources. The under-utilization of productive resources occurs just when the unconventional energy sector is most in need of those resources to build up its own capacity, forcing extra capital and labor to be diverted from the other sectors of the economy and thus worsening the first-order effects of depletion.

Second, conventional energy production depends on inputs of energy, both directly and through the energy embodied in the capital stock of the industry. Depletion increases the physical inputs of labor, capital, and energy required to produce energy, thus reducing the net energy yield of exploration and development. More energy is required to produce each barrel, creating a powerful vicious cycle of higher exploration costs, higher energy prices, and still higher exploration costs even when the potential for substitution and conservation in the energy industry is assumed to be high. The positive feedback loop or multiplier effect substantially boosts conventional energy prices above the level indicated by depletion alone.

7.1.2 Delays in the Adjustment of Energy Efficiency
Long delays in the adjustment of energy efficiencies to higher energy prices worsen the economic impacts of depletion by diverting a larger fraction of national income, capital, and labor to energy production during the transition than in equilibrium, reducing the resources available for growth and consumption. Three distinct sources of the delay were identified.

First, it takes time for firms and consumers to react to an increase in real energy prices. Social surveys suggest people are suspicious of energy price increases and reluctant to accept the permanence of higher energy prices, delaying decisions to improve energy efficiency. Further delays are introduced by research, development, retraining, and retooling needed before suppliers can begin to produce the efficient products demanded by their customers. Institutional delays in, for example, revising building codes to accommodate heavily insulated or solar homes further delay the adjustment of efficiency.

Second, and by far the largest source of the delay, is the long life of energy-consuming capital itself. The average physical life of industrial plant and equipment is on the order of two decades, while that of housing is closer to a century. Though retrofits can improve the efficiency of existing capital and housing somewhat, the actual energy intensity of the economy will lag the efficiency of the newest structures by ten to thirty years. Changes in settlement patterns, transportation networks and lifestyles may require even longer. Thus, even if the long-run potential for substitution and conservation is large, short-run flexibility is limited, increasing the magnitude of the economic impacts of the energy transition and worsening the vulnerability of the economy to shocks.

Third, the economic stresses caused by depletion itself can delay the adjustment of the economy to higher energy prices, further worsening those very stresses. Depletion reduces the resources available to finance retrofits, research and development that can improve efficiency, and investment in efficient plant, equipment, and housing. As a result, the adjustment of the economy to higher energy prices is prolonged, energy demand is maintained, and depletion is worsened, contributing to further price increases and hence to even more economic stress.

7.1.3 Overshoot of Real Energy Prices
The most interesting behavioral result of the model is the large overshoot of real energy prices above the long-run equilibrium cost of unconventional energy. The average price of energy overshoots the price of unconventional energy as slow development of unconventional energy forces reliance on conventional sources even after conventional energy becomes more expensive than the unconventional or backstop sources.

More important, the price of unconventional energy itself overshoots its initial (and final equilibrium) value. Unconventional sources of energy represent the backstop sources which, according to accepted theory, should provide a cap or backstop on energy prices. Despite extremely optimistic, idealized assumptions concerning unconventional energy (no depletion effects, a flat long-run supply curve, no environmental constraints, no non-energy resource limits, and a constant construction period), the price of unconventional energy substantially and persistently overshoots its initial value under a wide range of assumptions. The overshoot directly delays the energy transition by over a decade by forcing continued reliance on conventional energy resources, and substantially worsens economic performance during the transition by accelerating depletion and forcing the average price of energy to overshoot its equilibrium level.

Rapid growth and long lead times lead to chronic cash flow problems for unconventional energy industries. Despite heavy reliance on external financing, investment and hence capacity are constrained below the rate required to fill orders, and as a result:

  1. Employment is increased to meet demand. But increasing employment relative to capital reduces the marginal productivity of labor, moving the unconventional industry up its short-run supply curve and raising costs.
  2. Wages in the unconventional energy industry are bid above the national average as a result of rapid growth in labor demand, further raising labor costs.
  3. The interest rate on available external financing rises and the quantity of financing available declines in the unconventional industry. Low liquidity and cash-flow problems increase the perceived risk of investment in unconventional energy. Unconventional energy firms must therefore pay a risk premium over the prime rate and find external financing more difficult to underwrite.
  4. Market pressures force the price of unconventional energy above costs. Long construction delays and low liquidity constrain unconventional energy capacity, bidding prices above production costs.
  5. The cost of unconventional energy sources rise as energy prices rise, further boosting energy prices.
The first four sources of overshoot are directly attributable to financial stress in the unconventional energy industry induced by rapid growth and long lead times. Reducing the lead time for unconventional energy facilities reduced the magnitude of the overshoot and eased the financial stress. Because the cash flow of the industry improved, reducing the lead time by, for example, two years, speeds the penetration of unconventional energy in the market by four years. Thus technologies with short construction periods may be cheaper and more beneficial to the economy even if they have higher initial costs.

The fifth source of escalation is due to the energy-intensive nature of unconventional energy technologies. The lower the net energy yield of an energy technology, the stronger the cycle of energy price increases, rising production costs, and further price increases. Unlike the other sources of overshoot, the dependence of unconventional energy production on inputs of energy permanently raises production costs.

7.2 Depletion and Inflation

Energy price increases alone cannot produce sustained inflation. In consonance with neoclassical theory, the model shows that persistent, ongoing inflation cannot be caused by energy price increases, either gradual or sudden, unless there is an accompanying increase in the money supply relative to real activity (or a sustained increase in money velocity). Without monetary accommodation, energy price increases reduce liquidity throughout the economy, raising interest rates, eroding aggregate demand, and increasing unemployment until these stresses reduce wages and prices to a level consistent with the available supply of money. The stronger the expectation of inflation or the more wages resist falling, the stronger the resultant economic stresses and the longer they persist.

Though energy price increases alone cannot cause sustained inflation, they can cause the symptoms of economic stress traditionally fought with monetary expansion, thus indirectly leading to sustained inflation. However, allowing the money supply to expand in an attempt to ease the stresses caused by depletion does not appear to be effective. If, at one extreme, firms, workers, and consumers respond rapidly to increases in the money supply, then monetary accommodation will have little impact on real activity, and will primarily add inflation to the other symptoms of stress. If, at the other extreme, firms, workers, and consumers are slow to adjust inflationary expectations and hence prices and wages, there may be a short-run improvement in economic performance (along with inflation). But if so, and as a direct consequence, energy demand will increase, accelerating depletion and worsening the stress on the unconventional energy industry, maintaining import dependence and worsening the long term performance of the economy.

After more than a decade of high and accelerating inflation, the economy is rapidly becoming fully indexed to inflation and the adjustment of wages and prices to the available money supply is occurring faster and faster. As a result, monetary policy probably offers little leverage for mitigating the impact of higher energy prices on the standard of living.

7.3 Insensitivity of Behavior to Uncertainties

Sensitivity tests of both the transmission channels and mechanisms responsible for the economic effects of depletion and of the major assumptions regarding resources, unconventional energy costs, the potential for substitution and retrofits, etc., revealed a high degree of insensitivity in the behavior of the energy-economy system. While variations in assumptions do cause variations in the magnitudes of the variables and the timing of events, sensitivity tests often had much less impact than the size of the change would indicate. And despite changes in numerical values and timing, the major modes of behavior identified in the analysis were found to be invariant to large changes in assumptions.

The behavioral insensitivity of the model is the result of 'compensating feedback,' the interactions of the highly interdependent network of (predominently negative) feedback loops that make up a complex system. For example, increasing the assumed lifetime of undiscovered conventional energy in conventional 1980 by thirty years extended production of conventional energy by just ten to twenty years, and had virtually no effect on energy imports. Because higher resource availability and slower depletion lead to lower energy prices, higher demand, and faster economic growth, the additional resources are consumed faster than expected. Higher resource availability also slows the increase in conventional energy prices, delaying the emergence of unconventional sources and further speeding depletion. Compensating feedback and the resulting insensitivity of behavior modes to environmental changes (such as changes in the numerical value of assumptions) is a general property of complex systems, and implies confidence can be placed in the robustness of the modes of behavior identified by the model despite the uncertainty surrounding major assumptions.

7.4 Methodology of Energy-Economic Research and Policy Analysis

The model shows the behavior of the economy throughout the energy transition to be dominated by disequilibrium phenomena and interactions between the sectors of the economy. Models that compute long-run equilibria and models with restricted boundaries that eliminate intersectional feedbacks are unlikely to provide a realistic assessment of either economic prospects during the energy transition or the likely development of the energy sector itself. To be useful in understanding energy-economic interactions, models should focus on the disequilibrium processes that lead to equilibrium, and the pressures that can delay and defeat equilibrium forces. To properly model disequilibrium dynamics, principles of model building not generally relevant in eqilibrium modeling must be followed:
  1. Desired states and actual states must be distinguished. The pressures that lead to equilibrium must be explictly modeled rather than assuming equilibrium is achieved.
  2. The real life structure of conserved stocks and flows must be represented. Exclusion of conserved stocks and flows often leads to unintended 'free lunches' or masks inherent instability.
  3. The model should be robust under extreme conditions. The decision rules of the model should behave plausibly even if the inputs to that decision take on implausible values, since the model may enter regions of behavior previously unobserved through the imposition of policies or through the endogenous interaction of the system elements.
  4. Conceptually distinct flows should be distinguished. Orders, shipments, and payments, for example, can have different phase and amplitude relationships, and control and are controlled by different decisions.
  5. Only information actually available to the actors in the system should be used in modeling their decisions. Imperfect information is the rule rather than the exception. Perception delays and expectations based only on historical information must be used to properly represent the response of decision makers to disequilibrium pressures.
  6. The decision rule structure of the model should correspond to managerial practice. Only if the model mimics the response of the actors in the system to changing conditions will a model respond to policy interventions with the same characteristic lags, opposing pressures, and tradeoffs facing the system itself.
Due to the dense compensating feedback loop structure of complex dynamic systems, the characteristic behavior modes they exhibit tend to be insensitive to the precise values and strengths of most parameters and relationships. The feedback loop structure of systems tends to dominate individual relationships and conditions and is therefore more important in determining modes of behavior. Therefore, energy-economic model development should focus more on broadening the model boundaries to capture more types of interaction than on very detailed and precise specification of individual parameters and relationships. For example, the model shows the characteristic behavior modes exhibited through the energy transition to be invariant with respect to the elasticity of substitution between energy and capital (though the magnitude of the ecnomic impacts of depletion varies). Because of the behavioral insensitivity, a detailed representation of production technologies and complex procedures to derive precise estimates of the potential for substitution between energy and other inputs are not necessary.

7.5 Suggestions for Future Work

The analysis presented in this study could be extended in several ways. First, formal mathematical analysis of model dynamics could be performed. Formal examination of the compensating feedback loops responsible for the low sensitivity of the results to major assumptions would be of particular interest. The stability of the system could also be examined. Because the size of the model (over 250 state variables) prohibits substanial use of formal techniques, development of a smaller version of the model would be profitable. Several formal techniques are becoming available that permit modelers to identify the state variables primarily responsible for each mode of behavior and thus reduce the size of a model without altering the major behavior modes.

The major limitations of the model in its present form fall into two categories: insufficiently broad model boundary and insufficiently detailed and endogenous representation of monetary and fiscal policy. In the present version, there is a highly abbreviated model of the financial system and the channels of monetary policy. Explicit inclusion of the monetary base and money supply process including an endogenous representation of Federal Reserve policies would improve the model's ability to evaluate inflation. Similarly, a more detailed representation of fiscal policy, including endogenous government spending, tax rates, deficits, and transfers would enhance the model's ability to respond realistically to the economic stresses caused by depletion. The effects of energy imports and OPEC's investment and consumption policies on exchange rates could be included.

Another profitable extension to the current model would add explicit installation costs for retrofit, entailing each sector undertaking retrofits acquire 'retrofit services' either from the goods sector or, preferably, from a separate 'retrofit services sector.' Provision of retrofit services would depend on inputs of capital, labor, and energy, and would thus be subject to startup dynamics and interdependencies similar to those facing the unconventional energy sector (though presumably involving lower costs and shorter lead times).

The model could be disaggregated to represent different energy types. While detailed representation of a large variety of primary energy sources and end users is not necessary to gauge the macroeconomic effects of the energy transition, disaggregation of electric and non-electric energy would be useful due to the large differences in the costs, efficiencies, and capital stocks required to utilize electricity and other fuels.

The second class of limitations are potentially more important. The exclusion of non-energy resources and environmental constraints may exclude other important interdependencies and dynamics that could magnify the economic impacts of depletion. In particular, the current model includes a highly idealized and optimistic representation of unconventional energy production. No depletion effects or resource constraints are assumed, long-run costs are stable, no environmental costs or constraints are included, and no constraints on non-energy resources are assumed. Though these assumptions were justified in the present analysis to highlight more fundamental interactions, none of them are true. Many of the technologies touted as backstops depend on nonrenewable resources (synfuels from coal and oil shale, nuclear power, heavy oils, and tar sands). The costs of many of these technologies will rise on the margin as the highest grade ores, thickest coal seams, and sites nearest transportation networks are exploited. These technologies have massive water requirements and will compete for water in regions already beset by shortages and dependent on nonrenewable aquifiers.

The analysis of the energy transition can be integrated with other important long-term modes of economic behavior. Two such modes are particularly important: the Kondratiev or long wave, and the lifecycle of economic development.

Research on the System Dynamics National Model has led to development of an endogenous theory of Kondratiev or economic long waves, 45 to 60 year fluctuations of output and employment revolving around the overexpansion and collapse of the capital-producing industries of the economy. Though not essential in the genesis of the long wave, innovation and technology appear to be strongly influenced by the long wave. Each long-wave expansion appears to be organized around a particular ensemble of technologies. The long-wave expansion that culminated in the Great Depression was characterized by dependence on railroads, steam power, and the telegraph; the post-war boom has been characterized by automobiles and airplanes, internal combustion and electricity, and radio and television, each of which largely replaced it predecessors over the same period despite wide variations in their date of invention. Innovations tend to be 'bunched' together by long waves because

Midway into a capital expansion, opportunities for applying new inventions that require new types of capital become poor. The nation is already committed to a particular mix of technologies and the environment greatly favors improvement innovations over basic innovations. During a long-wave downturn, basic innovation opportunities gradually improve, as old capital embodying the technologies of the preceding buildup depreciates. Near the trough of the wave, there are great opportunities for creating new capital embodying radical new technologies. The old capital base is obsolescent, bureaucracies that thwarted basic innovation have weakened, and traditional methods are no longer sacrosanct.
The energy transitions in the United States have also coincided with the peaks in innovation that occur during the troughs of the long wave (Figure 7.1)

A growing body of evidence suggests the economy is currently entering the decline phase of the long wave, raising questions about the interactions of depletion and the current energy transition with long-wave dynamics. The model should be extended to examine the energy transition in the context of the long wave.

Finally, it should be recognized that depletion and the energy transition are one dimension of a larger mode - the life cycle of economic development, a centuries-long process that traces the evolution of an economy through a pre-growth period, economic takeoff, rapid growth, and finally social and physical limits to growth. Energy represents just one - albeit an important one - of the physical constraints to growth.

The present study has pointed out the importance of the mutual dependence of the sectors of the economy on energy, and suggests the inclusion of non-energy resources and environmental constraints could, by introducing still more interdependencies, substantially worsen the economic impacts of depletion. Examining the energy transition at the level of detail presented here but in the context of other physical constraints to growth such as soil fertility, water supply, pollution, and other renewable and nonrenewable resources would help develop an integrated framework for evaluating policies to encourage a smooth transition from material growth to equilibrium in the United States.

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