Biophysical Economics

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= Biophysical economics begins with a conceptual model that sees the economy connected to, and sustained by, a flow of energy, raw materials, and ecosystem services.


Because of the exceptional encyclopedic quality of this essay by, we are quoting extensively.

Lead Author of this Encyclopedia of the Earth article is Cutler J. Cleveland

Below are a list of theoreticians in chronological order.


"Biophysical economics is based on a conceptual model of the economy connected to, and sustained by, a flow of energy, materials, and ecosystem services. That simple but fundamental principle has formed the basis for wide-ranging research on the economy-environment relationship by an analysts from a variety of disciplines. The power of the biophysical perspective is evidenced not only by the long history it has enjoyed, but also by the fact that the analysis of energy and material flows is central to current issues about sustainability, environmental quality, and economic development."


What Is Biophysical Economics

Rigo E. Melgar-Melgar and Charles A.S. Hall:

"From a biophysical perspective, the history of human civilization has been marked by the pursuit of energy, energy exploiting technologies, and the economic surpluses that they allow accompanied by the energy transformations that have enabled the development of our complex socio-economic systems. Earlier economic theories, before the “marginal revolution” of the 1880s, often had a biophysical basis, as do a growing number of more modern theories. The latter have argued that conventional

Real economies must be studied as both biophysical and social entities. Biophysical principles that take into consideration complexity and apply a systems thinking approach are necessary for future researchers in ecological economics and other allied fields to understand why and how we can bring our socio-economic system in line with the many constraints of the biophysical world. Odum (1971) stated that “when systems are considered in energy terms, some of the bewildering complexity of our

In the XXI century, the analysis and understanding of the role of energy and material inputs and outputs in our socio-economic systems will be essential to address the climate and ecological crises that threaten the future of life on planet Earth. Therefore, the research agenda of EE must build on solid biophysical foundations to provide a meaningful alternative to help transform our socio-economic systems towards biophysical sustainability. For example, new policies emerging from the Green New

Ecological economics should not be restricted and cannot be reduced to biophysical analysis, but its theories and methods must be consistent with biophysical principles."


The Biophysical in Economics

Clive L. Spash & Adrien O.T. Guisan:

"A basic fact, although absent from most economic thinking, is that natural resources and waste sinks are required to ensure social provisioning. The reproduction of societies must address the maintenance of ecosystems structure and their functioning or fail. Production fundamentally requires energy, or, more precisely, available energy termed “exergy”. That is, humans require energy capable of performing useful “work”, which is defined, as in physics, to mean the exertion of a force against some form of resistance (Ayres and Warr, 2009). Such work can be performed by humans, animals or machines, but will always require some input of exergy, whether it is the solar radiation embodied in food that fuels human and animal labour, or fossil fuels to power a heat engine. This dependency of societies on flows of energy and materials is captured in the concept of “social metabolism” (Krausmann, 2017). There is no single social metabolism because it will vary depending upon the structure of an economy and its social provisioning mechanisms, and there-in lies the potential of alternative social-ecological economies. The metabolic nature of human societies emphasises the role of materials and energy in their reproduction. This make the laws of thermodynamics central to any economic process as explored by Georgescu-Roegen (1971)."



Nafeez Mosaddeq Ahmed explains some components of Biophysical Economics, based on the work of Charles Hall.

"Prior to the pandemic, we were wildly spearheading near-exponential increases in energy consumption, public debt, popul​ation growth, greenhouse gas emiss​ions, and spe​cies extinctions. But this exponential growth has brought diminishing returns, which can be understood through the scientific concept of ‘Energy Return on Investment’ (EROI).

The metric, pioneered by systems ecologist Professor Charles Hall of the State University of New York’s College of Environmental Science and Forestry, is the foundation of the emerging discipline of ‘biophysical economics’.

EROI is designed to measure how much energy is needed to extract energy from a particular resource. What’s left is known as surplus ‘net energy’, which we can use to support goods and services in the economy outside the energy system. The higher the ratio, the more surplus energy is left for the economy. Over the last decades, that surplus has run increasingly thin.

In the early twentieth century, the EROI of fossil fuels was sometimes as high as 100:1. This means that a single unit of energy would be enough to extract a hundred times that amount. But since then, the EROI of fossil fuels has dramatically reduced. Between 1960 and 1980, the world average value EROI for fossil fuels declined by more than half, from about 35:1 to 15:1. It’s still declining, with latest estimates putting the value at between 6:1 and 3:1.

As we use more and more energy just to extract energy from our resource base, we are left with less ‘net energy’ to support financing of public goods and services. This has acted as a background ‘brake’ on the rate of economic growth for the world’s advanced industrial economies, which has also declined since the 1970s. In other words, industrial civilization is overshooting its own fossil fuel energy base, and as a result the economy is running out of steam. Everyone is feeling the squeeze, but the first people to do so at the highest intensities are Black people and minorities.

According to Professor Mauro Bonaiuti, an economist at the University of Turin in Italy, mainstream economics has failed to account for these key ‘biophysical’ underpinnings of the economy: material flows are dependent on energy. Since the 1970s, industrial societies have been in a ‘phase of declining returns’, he argues, measured across GDP growth, EROI, along with labour and manufacturing productivity. To make up the shortfall, Bonauiti argues, we have kept the economy growing based on accelerated levels of debt. After the 2008 financial crash, a massive program of quantitative easing (QE) drove global debt even higher than pre-crash levels — barely sustaining a much slower level of GDP growth. But the scale of debt keeping the industrial machine chugging along far outweighs our energy resource base. At some point, he warned, this unsustainable heyday was bound to grind to a halt.

These dynamics have made the economics of oil particularly unsustainable. In 2005, conventional crude oil entered a long plateau. To meet growing economic demand the industry shifted to more expensive unconventional forms. Since then, US shale supplied some 71.4 percent of global oil supply growth.

In February, as much of the world was sleepwalking into the COVID-19 pandemic, the Geological Survey of Finland — a Finnish government agency overseeing the EU’s mineral resource modelling — published a comprehensive study. Although there is “plenty of oil left,” it is “increasingly expensive to access”, the report warned. Record shale oil production came at higher costs and declining well productivity. Most shale oil companies faced negative cash flow, compensated for by drawing down billions of dollars of unrepayable debt. The pandemic was a pin that burst this oil bubble.

It’s not clear that this bubble can reinflate, but even if it can, doing so threatens the environment, and undermines the economy by requiring more unsustainable debt-expansion." (



19th Century:

"Podolinsky, a Ukrainian socialist, was the first to explicitly scrutinize the economic process from a thermodynamic perspective. Podolinsky was keenly aware that he was in line of succession to the Physiocrats and Carnot and Clausius, citing the former group’s emphasis on nature as the source of wealth, and the economic implications of the latter pair’s discoveries. Podolinsky tried to reconcile the labor theory of value with a thermodynamic analysis of the economic process. In his conclusions, which he communicated to Frederick Engels on several occasions, Podolinsky stated the socialist model was flawed because it assumed that "scientific socialism" would overcome all natural resource scarcities and enable unlimited material expansion. Podolinsky’s biophysical analysis led him to conclude that ultimate limits to economic growth law not in the shackles of the relations of production, but in physical and ecological laws.

Podolinsky’s work foreshadowed by nearly a century three concepts now widely used by some biophysical analysts: the use of energy flow analysis to characterize the efficiency of food production systems; modeling labor productivity as a function of the quantity of energy used to subsidize the efforts of labor; and the importance of the energy surplus or net energy yielded by an energy supply process.

Podolinsky calculated the energy surplus delivered by the food production system of his day by comparing the caloric value of food produced to the energy used to produce it, including the energy content of the seeds and the caloric expenditure of human and draft animals used in the process. Podolinsky calculated that yields per area and energy surpluses were greater in ecosystems that were subsidized by human-controlled energy inputs relative to unsubsidized natural ecosystems."


Frederick Soddy

"The early 20th century was characterized by a growing body of literature devoted to the analysis of the role of natural resources in human affairs, and particularly in economic production. The most notable author was Frederick Soddy, a Nobel laureate in chemistry, who applied the laws of thermodynamics to economic systems and devoted a significant part of his professional career to a critique of standard economic theory. Like the Physiocrats, Soddy maintained that a comprehensive theory of economic wealth has biophysical laws as first principles because "life derives the whole of its physical energy or power not from anything self-contained in living matter, and still less from an external deity, but solely from the inanimate world. It is dependent for all the necessities of its physical continuance upon the principles of the steam engine. The principles and ethics of all human conventions must not run counter to those of thermodynamics."

Soddy emphasized that solar energy empowers all life processes. Human life is sustained by replenishing itself with solar energy captured and transformed by plants, which Soddy called the "original capitalists." Like Ostwald, Soddy believed economic progress was made possible by the transition from direct solar energy to successive masteries of nonrenewable stores of fossil fuels. When humans first tapped energy capital (fossil fuels) rather than energy revenue (solar energy), unprecedented accounts of economic work became possible. The ’flamboyant era’ society now enjoys stems not only from human ingenuity but also from our inheritance of solar energy from the Carboniferous era embodied in fossil fuels.

Soddy argued that the fatal flaw of economics was a confusion of wealth, which has a distinct physical dimension, with debt, a purely imaginary mathematical quantity with no physical dimension. Unlike wealth, debts can be created by a ’wave of the hand’ or ’a will of the mind’ because "debts are subject to the laws of mathematics rather than physics. Unlike wealth, which is subject to the laws of thermodynamics, debts do not rot with old age. On the contrary, they grow at so much per annum, by the well known mathematical laws of simple and compound interest."

Soddy believed this confusion led to the development of financial institutions that were divorced from the physical principles underlying the production of wealth. Banks create money arbitrarily through the fractional reserve requirement system, and then loan the ’fictitious’ money at interest. Wealth, the physical quantity represented by money, cannot grow forever at a compound interest rate as the laws of thermodynamics clearly imply. Soddy postulated that at some point debts would outstrip wealth, causing the banking system to collapse. Citing the economic malaise of the Depression as evidence, Soddy proposed as remedies a 100 percent reserve requirement and a statue requiring a constant price level."


Alfred Lotka

"Writing at about the same time as Soddy was Alfred Lotka, a mathematical biologist who argued that the mechanisms of natural selection could be explained in energy terms. Lotka did not specifically apply his biophysical principles to economics, but his theories were subsequently used by other analysts to emphasize the relation between energy quality and living systems. Lotka proposed that the evolutionary process, combined with the laws of thermodynamics, formed a natural ’law’ that underlay all human behavior. Lotka proposed that the battle of organic evolution was a "general scrimmage for available energy" in which all players were energy transformers - plants as energy accumulators animals as engines which burned the solar energy in plants. For Lotka (1922), survival was game governed by the laws of thermodynamics: "in the struggle for existence, the advantage must go to those organisms whose energy-capturing devices are most efficient in directing available energies into channels favorable to the preservation of the species."



"The use of energy as a unifying concept for social, political and economic analysis reached a zenith with the technocratic movement in the USA and Canada during the 1930s. Led by the flamboyant and energetic Howard Scott, the Technocracy movement began in 1918 as a group called the Technical Alliance. The Alliance conducted an industrial survey of North America in which economic parameters were measured in energy units rather than dollars. Although the Alliance lasted only a few years, the Depression provided fertile ground for the re-emergence of the technocratic movement which used depressed economic conditions as a rallying point for their call for a complete overhaul of existing economic and political institutions. In 1921, Howard Scott and others formed Technocracy, Inc., and in conjunction with the Industrial Engineering Department at Columbia University, began an empirical analysis of production and employment in North America in energy units. The association with a prestigious university like Columbia combined with Scott’s flamboyant relationship with the press made Technocracy internationally famous.

Technocrats believed that politicians and businessmen could not manage a complex, rapidly advancing industrial society. The technocrats proposed replacing politicians with scientists and engineers who had the technical expertise to manage the economy. This would allow social and economic institutions to reap the full benefits technological progress had made possible. With technical trained people making decisions, the Technocrats saw no physical limitations on expanding industrial output. They favored the continual replacement of labor with capital and energy, realizing as did Podolinsky and Soddy that empowering labor with greater quantities of fuel increased the productivity of labor.

The technocratic philosophy assumed that energy was the critical factor determining economic and social development. The Technocrats measured social change in physical terms: the average number of kilocalories used per capita per day. Money would be replaced by energy certificates, the total supply of which would be determined by the total amount of energy used in the production of goods and services. Every adult above the age of 25 would receive an equal portion of the total net energy used. People under 25 would receive a special 'maintenance allowance.' Like Soddy, the Technocrats viewed with contempt the interest-bearing ability of regular money, so the energy certificate was to be non-transferable, non-negotiable, non-interest bearing, and had to be used within a specified period of time."


W. Fred Cottrell

"The most comprehensive assessment of the role of energy in human societies was by W. Fred Cottrell, a sociologist at Miami (Ohio) University for many years after an earlier career as a railroad man. Cottrell’s Energy and Society is an extremely perceptive and readable analysis of the role of energy in human affairs. Cottrell emphasized two aspects of the relation between energy quality and economic and social development. The first was a quantity he termed "surplus energy," the difference between the energy delivered by a process and the energy invested in the delivery process. The second point Cottrell emphasized was the connection between the amount of energy used to subsidize the efforts of labor and the productivity of labor. Cottrell was impressed by the way much of what was called ’technological change’ operated: using increasing amounts of higher quality energy (especially fossil fuels) per laborer to perform a specific economic task. According to Cottrell, the Industrial Revolution was revolutionary in economic terms because human labor was supplemented by enormous quantities of inanimate energy in the form of fossil fuels. Such subsidies powered an unprecedented increase in the amount of work done per worker-hour.

Cottrell also examined the influence of energy quality and energy surpluses on the development of social and cultural patterns. For example, the unidirectional character of energy in flowing water dictated certain economic and social arrangements between those who lived at river mouths and those upstream from them. Bulky raw materials much as grains, ores and timber were often produced in the hinterland and sent downstream to river mouth cities where those raw materials were combined to produce more valuable goods. Great accumulations of wealth and populations occurred in downstream cities, but very often such wealth did not find its way back upstream.

Despite his emphasis on energy, Cottrell did not argue that physical laws determined all social arrangements. Rather, he argued that resource availability set the general direction of social change. According to Cottrell, nature says to humans, "if you want this, here are the conditions under which you may have it." The two most important conditions are: (1) the investment of a minimum amount of already extracted energy to find and develop additional amounts of energy from the environment, and (2) the use of some available energy to protect one’s energy flow from others seeking to use it for their own preservation. In regards to the first condition, Cottrell believed that the most important quality of an energy source was the surplus energy it delivered. Cottrell observed that, in general, societies adopted a new energy technology only if it delivered a greater energy surplus, and hence a greater potential to produce goods and services. The Industrial Revolution produced unprecedented economic and social expansion in large part because the energy surplus delivered by fossil fuels dwarfed that produced by the renewable energy sources used prior to the Revolution. Cottrell also observed that economies are sensitive to change over time in the magnitude of the surplus delivered by an energy source. Such changes were a function of the physical properties of the resource and the technologies used to extract it, with the former factor being the most important in the amount of surplus energy delivered to society may be the ultimate limit to economic expansion: "it will only be when we get a response from nature, in the form of greatly diminished return in the form of surplus energy, that we can expect the present Industrial Revolution to slow down.

Cottrell also explored the differences between a biophysical and so-called humanist approach to biological and cultural evolution. Like Lotka, Cottrell emphasized the most fundamental relation in nature: organisms capture the radiant energy of the sun as a means to perpetuate the patterns that differentiate them from one another.

On Lotka’s hypothesis that natural selection favors those who maximize the energy flux through their systems, Cottrell stated that:

- "the evidence for Lotka’s position is not yet sufficient to make it clear that it should be formulated into a law. But the tendency it expresses...fits other evidence that ability to control energy conversation is one factor involved in the persistence of patterns that require energy for their replication. Certainly the patterns of observable human behavior fall into that category. Man cannot escape thermodynamics...his effectiveness in controlling energy conversion so that is serves his needs and satisfies his values is one measure of his probable survival in a habitat."

Energy technology may in some cases impose only limited restrictions on the society using it, while in others (e.g., controlled fusion and breeder reactors) the conditions necessary to utilize an energy source may be extremely narrow and the technical and social organizations required to operate them may be extremely precise."


M. King Hubbert

"Writing about the same time as Cottrell was M. King Hubbert who, like Cottrell and others before him, was impressed by the remarkable correlation between the burst of human civilization and the transition to a fossil fuel economy. Hubbert, a geophysicist by trade, used his extensive knowledge of physics, mathematics and geology to revolutionize the way in which the supply of nonrenewable resources were analyzed. Hubbert was one of the first to gather empirical data on rates of energy production, discoveries and consumption in order to make predictions on future energy availability. In 1949 Hubbert made the startling prediction that the fossil fuel era would be short-lived, at least relative to the time frame commonly assumed, and in 1956 estimated that United States domestic oil production would peak in the late 1960s. This work was based on a curve-fitting technique that became known as the Hubbert curve. Hubbert stated that "the epoch of the fossil fuels as a major source of industrial energy can only be a transitory and ephemeral event - an event, nonetheless, which has exercised the most drastic influence very experienced by the human species during its entire biological history."

It was the ’drastic influence’ that energy quality and availability had on economic development that led Hubbert to criticize standard economics for its lack of a biophysical basis. Echoing the words of Soddy written almost a half-century earlier, Hubbert stated:

- "...when one speaks of the state of growth of GNP, I haven’t the faintest idea what this means when I try to translate it onto coal, oil, iron, and the other physical quantities which are required to run an industry...the quantity GNP is a monetary bookkeeping entity. It obeys the laws of money. It can be expanded or diminished, created or destroyed, but it does not obey the laws of physics."

History has proven Hubbert’s petroleum supply models to be remarkably accurate. However, subsequent research suggests that Hubbert may have been lucky because his models do not explicitly account for short run economic and political forces that affect drilling, discovery, and production. It is ironic that the timing of what may prove to be one of the most important economic events in U.S. history, the peaking of domestic oil production, was predicted most accurately by a physical scientist."


Howard T. Odum

"In Environment, Power, and Society, Howard T. Odum developed a systematic methodology using energy flows to analyze the combined system of humans and nature. Odum combined Darwin’s theory of natural selection and Lotka’s hypothesis of natural selection as an energy-maximizing process into a ’general energy law’: maximization of useful work obtained from energy conversion is the criteria for natural selection. Odum coined this ’law’ 'the maximum power principle'. The maximum power principle, while yet to be subjected to rigorous empirical testing, rests on the principles of natural selection set forth by Darwin and Lotka. Odum observed that ecological and other systems that survive and prosper used energy at some ’optimum’ rate ’better’ than competing energy utilization strategies. Since human systems are subjected to the same energy constraints as any other system, Odum suggests that any ethic for the survival of humans must meet this same logical and cultural, operated on differential rates and efficiencies of energy use by ecosystems and economies.

Two of Odum’s most important contributions to biophysical economics are energy quality and the countercurrent flow of energy and money in the economy. Energy quality refers to the relative ability of the economy to use different fuels to produce economic output per heat equivalent burned. Odum argued that because fuels differ in quality, societies with access to higher-quality fuels have an economic advantage over those with access to lower quality fuels. Odum also stressed the importance of matching economic tasks with fuels of appropriate quality. High-quality fuels such as electricity are best used to control the flow of larger, lower-quality flows in the economy. Electricity is well-suited to operating a computer which can perform tremendous amounts of work per kcal of electricity. Electricity used for space heating is a poor use of high-quality energy because space heat could also be provided by lower-quality fuels such as petroleum, coal or wood.

Odum argued that energy was the source of economic value. He pointed out that wherever a dollar flow existed in the economy, there was a requirement for an energy flow in the opposite direction. Money is used to buy goods and services, of necessity derived from energy. Each purchase operates through the economy as a feedback, stimulating more energy to be drawn from the ground and into the economy to produce additional goods and services. Money circulates in a closed loop, whereas low-entropy energy moves in from the outside, is used for economic tasks, and then leaves the economic system as degraded heat. Odum also observed that the large natural energy flows—solar radiation, water, wind, etc.—that are essential for life, have no associated dollar flows. The costs of using these energy flows do not, therefore, enter into economic transactions directly, often leading to their misuse or the mismanagement of life-sustaining environmental services."


Robert Costanza

"Empirical support for some of Odum’s ideas was given by Robert Costanza who analyzed the relationship between the direct and indirect energy used to produce a good or service in the U.S. economy and the dollar value attached to that good or service in market transactions. Costanza used the term '[[embodied energy]' to describe the total energy cost of a good or service. He showed that there was a strong statistical relation between the embodied energy content of a good and its dollar value if energy calculations included an estimate of the energy costs of labor and government services as well as direct fuel use. Costanza used this empirical evidence to argue for an embodied energy theory of economic value which maintains that the value of any good or service to humans is ultimately related to the quantity of energy directly and indirectly used in its production.

Like Odum’s, Costanza’s embodied energy theory of value was roundly criticized by many economists, but he defended it with a theoretical argument based on two assumptions. First, solar energy is the only net input into our closed biosphere. Second, like Lotka and Odum argued, the struggle to sequester free energy to sustain life and maintain existing cultural arrangements was the most fundamental human activity. Based on these assumptions, Costanza hypothesized that a perfectly functioning free market would, through a complex evolutionary process, arrive at prices proportional to embodied energy content. Because the market is not perfect, however, embodied energy calculations can pinpoint problems and value nonmarketed goods and services (i.e., externalities)."


Earl Cook

"The late Earl Cook, a geologist and former Dean of Geosciences at Texas A & M University, was interested not only in empirical modeling of resource supply systems, but also in broader social issues associated with energy use, resource depletion, and environmental degradation. Cook’s Man, Energy, and Society stands as one of the most complete books on the subject. Cook was concerned with the dangers associated with the apparent incompatibility of our society’s fervent, almost religious devotion to economic growth, and the fact that such growth was dependent upon a finite, nonrenewable stock of fossil fuel.

Cook observed that:

"Progress has depended upon the increasing control of energy...the Rhinelanders harnessed oxen, the Benedictines waterpower. The maritime nations (Spain, Portugal, the Netherlands, Great Britain) set the winds to work. We, the Americans, started with wood, switched to coal, then to petroleum in our race to the world’s largest level of material affluence and national strength. Without abundant and cheap energy, Europe could not have recovered so astonishingly fast from the ravages of World War II, and Japan could not have shot to world prominence as an industrial power.

Cook argued that industrial society, and the U.S. in particular, is faced with a resource watershed unparalleled in history. With the quality of fossil fuels rapidly diminishing, industrial society has two options. The progress option, as described by Cook, is to go on believing that omnipotent technological change and so-called economic laws will rescue us from any resource-related problems. The prudence option is to adjust our values and lifestyles commensurate with energy and resource realities. Cook warns that:

The greatest danger in our bemused drift towards the energy waterfall is that the resulting shock will find us stripped of democratic government by an opportunistic group that comes out on top in the wreckage, a group that controls us through their control of the energy systems... "


Robert Ayres

"Robert Ayres was another physical scientist who used biophysical methods to gain insights into the economic process. Using a material-energy balance model, Ayres described the inconsistency of the closed, cyclic model of standard economics with the First Law of Thermodynamics, which states that what low-entropy matter and energy enters the economic process as useful raw materials must ultimately leave the process and return to nature as high-entropy wastes. One immediate implication is that so-called ’externalities’ are necessarily pervasive rather than exceptional characteristics of the economic process as some economic theorists had generally assumed.

Ayres used the principles of entropy and the Second Law of Thermodynamics to describe natural resources quality in physical terms. High-quality negentropy stocks (i.e., highly ordered deposits of natural resources) are those which require low amounts of fuel and other natural resources to discover, extract and process. Ayres described a thermodynamic Catch-22 related to resource depletion. The faster we deplete mineral resource negentropy stocks, the more we accelerate the demand for a depletion of fossil energy resources, since lower-quality resources require more energy for their extraction. This ratchet effect is amplified as high-quality fuels such as coal must be used, which themselves require a greater energy investment per unit energy extracted. Ayres emphasized that the standard economic model of natural resource scarcity does not account for the positive feedback between decreasing resource quality and the rate of extraction of those resources. The standard model has until recently ignored the increased environmental costs due to the build-up of high-entropy wastes from increased use of energy matter.

Ayres and his colleagues propose a system of aggregating energy and materials based on exergy. Exergy measures the useful work obtainable from an energy or material, and is based on the chemical energy embodied in the material or energy based on its physical organization relative to a reference state. The physical units for exergy are the same as for energy or heat, namely kilocalories, joules, BTUs, etc. For fossil fuels, exergy is nearly equivalent to the standard heat of combustion; for other forms of energy, specific calculations are needed that depend on the details of the assumed conversion process. For materials, exergy is defined jointly for a material and the reference state with which it must ultimately reach thermodynamic equilibrium. Thus, exergy measures the degree to which a material is organized relative a random assemblage of material found at an average crustal abundance, an average concentration of sea water or of gases in the atmosphere. The higher the degree of concentration, the higher the exergy content.

Ayres argues that exergy has a number of useful attributes for aggregating heterogeneous energy and materials. Exergy is a property of all energy and materials and in principle can be calculated from information in handbooks of chemistry and physics and secondary studies. Thus, exergy can be used to measure and aggregate natural resource inputs as well as wastes. For these reasons Ayres argues that exergy forms the basis for a comprehensive resource accounting framework that could "provide policy-makers with a valuable set of indicators." One such indicator is a general measure of "technical efficiency," the efficiency with which "raw" exergy from animals or inanimate source is converted into final services. A low exergy efficiency implies room for the improvement in the efficiency of converting energy and materials into goods and services. Similarly, the ratio of exergy embodied in material wastes to exergy embodied in resource inputs is the "most general measure of pollution." Ayres also argues that the exergy of waste streams is a proxy for their potential ecotoxicity or harm to the environment, at least in general terms."

Herman E. Daly

"In Steady-State Economics, Herman E. Daly points out the logical inconsistencies between the emphasis placed on economic growth and the energy and environmental realities confronting us. Like Soddy, Daly argued that our preoccupation with monetary flows at the expense of thermodynamics principles misleads us into believing that technological advance is limitless, and that perpetual economic growth is not only physically possible, but morally and ethically desirable as well.

One of Daly’s most insightful contributions to biophysical theory was his critique of the conceptual model of the economic process found in most introductory textbooks. In this model, exchange value embodied in goods and services flows from firms to households and is called national product. A counter flow of equal value, in the form of factors of production, product. A counter flow of equal value, in the form of factors of production, flows back to firms from households and is called national income. This flow is depicted as circular, self-feeding, and self-renewing.

Like Ayres, Daly argues that the circular flow model is seriously incomplete because it focuses on the circular flow of exchange value (i.e., money) rather than the throughput of low-entropy natural resources from which all goods and services are ultimately derived. Daly emphasizes that the circular flow of exchange value is coupled with a physical flow of matter-energy which is not circular. The matter-energy flow is linear and unidirectional, beginning with the depletion of low-entropy resource stocks from nature and ending with the pollution of the environment with high-entropy wastes. In this view, nature is the ultimate source of the raw materials necessary to produce economic value, as well as the ultimate sink for the unavoidable by-products of the production process.

Daly states:

It is, of course, the linear throughout matter-energy, not the circular flow of value, that impinges on the environment in the forms of depletion and pollution. It is impossible to study the relation of economy to the ecosystem in terms of the circular flow model, because the circular flow is an isolated, self renewing system with no inlets or outlets, no possible points of contact with anything outside itself. Yet in economic theory the circular flow has the spotlight, while the concept of throughput is only dimly visible in the shadows. Consequently, the relation of the economy to its environment is a topic which economic theory has only occasionally illuminated and often obscured.

Daly argued the benefits of a steady-state economy in which the stocks of physical wealth (capital) and people (population) are held constant. The accumulation of physical wealth is controlled by controlling the rate of energy and matter use. Population is held constant by some form of birth control practice. Daly acknowledged that such controls are not palatable to most of us because we lie in a growth-oriented society. Daly believes, however, that such a transition is inevitable due to rising world population, resource depletion, and environmental degradation, and that the social costs associated with a voluntary transition to a steady-state will be far less than those that would occur if environmental conditions force us into such changes."


Nicholas Georgescu-Roegen

"Due to his enormous influence and to the theme of this volume, the work of Nicholas Georgescu-Roegen deserves more detailed discussion. Much of what follows is based on a review of his work published in a special issue of Ecological Economics devoted to Georgescu-Roegen.

Georgescu-Roegen had a deep and thorough understanding of economic theory, economic history, and mathematics, as well as considerable knowledge of physics and the history and philosophy of science. His genius was rooted in his instincts about the relevance of biophysical principles for human economic aspirations. Georgescu had a vision of economics rooted in the physics, chemistry, and biology of human existence, and the analytical and intellectual capabilities to weave those pieces together with the humanistic tradition of economics.

Traditional economic analysis concentrates on the exchange of commodities among the members of an economy, focusing on the role of consumer preferences, technologies, and capital endowments for the existence and stability of market equilibria. Georgescu sought to ground economic analysis in the biophysical realities of the economic process. His efforts occurred independently of, and at the same time as Boulding’s celebrated demonstration of the environmental implications of the mass-balance principle, Odum’s energy flow analysis, Ayres and Kneese’s materials balance approach, and the application of input-output techniques to the analysis of energy use in ecological and economic systems by Hannon and Bullard and Herendeen. Together, these studies influenced to a significant extent the field of biophysical and ecological economics—the questions they ask and the methodologies they applied.

But what distinguishes Georgescu’s contribution from the other pioneers was his ability to incorporate biophysical principles into the everyday language and models of standard economics. In doing so his work pointed towards the economic importance of the laws of conservation of mass and energy, and the entropy law.

For Georgescu, a great sin of conventional economic analysis is the confusion of funds and flows, leading to a fundamental misrepresentation of the relation between manufactured and natural capital.


The laws of conservation of mass and energy clearly dictate that no agent can create the stuff on which it operates, i.e., manufactured capital cannot create the resources it transforms and the materials it is made from.

One of Georgescu’s most renowned arguments is that "matter matter’s too." Georgescu reacted strongly against energy theories of value. He argued that the principle of entropy applied to materials as well as energy. Energy and materials always are used together; we can never handle energy without a material receptor, material lever, or material transmitter. Thus, Georgescu argued that there is a "dual" of the first law of thermodynamics, namely that no mechanical work can be performed without the use of some matter. He further asserted that the second law of thermodynamics, which precludes the possibility of a machine converting energy to work with 100 percent efficiency, is due to "imperfections in matter." That is, there are no frictionless materials, no perfect insulators, no perfect conductors, no perfectly elastic materials, etc. These imperfections preclude the perfect conversion of energy into mechanical work. Consequently, a full understanding of material and energy transformations requires explicit attention to matter.

The hand-in-glove relation between energy and material use produces a continuous conversion of matter from high quality to low quality state, in a manner directly analogous to the dissipation of energy. Georgescu states:

All over the material world there is rubbing by friction, cracking and splitting by changes in temperature or evaporation, there is clogging of pipes and membranes, there is metal fatigue and spontaneous combustion. Matter is thus continuously displaced, altered, and scattered to the four corners of the world. It thus becomes less and less available for our purposes. Georgescu emphasized that "the Entropy Law in its present form states that matter, too, is subject to an irrevocable dissipation." This statement is, without doubt, correct for isolated systems. All changes in the thermodynamic state of materials must be accompanied by a degradation of the quality of energy. If the system is isolated, i.e., no mass or energy flows cross its boundaries, the system will ultimately reach a state at which no gradients in temperature, pressure or material composition exist that enable the system to change its state. Such a state of the system is referred to as heat death.

In subsequent arguments Georgescu asserted that "isolated systems present only a small interest to us. If we set aside the case of the whole universe, isolated systems are set up (with some degree of tolerance) only in laboratories." In much of his work on the role of matter in economic processes he then focused on closed, rather than isolated systems, i.e., systems that do have energy flows crossing their boundaries but do not have material flows across their boundaries:

Having in mind the statistical interpretation of thermodynamics, one may argue that we can certainly reassemble the pearls of a broken necklace scattered over the floor. Is not recycling such a type of operation? To see the error in extrapolating from the molar to the molecular level, let us suppose that the same pearls are first dissolved in some acid and the solution is spread over the oceans — an experiment which depicts what actually happens to one material substance after the other. Even if we had as much energy as we pleased, it will take us a fantastically long, practically infinite time, to reassemble the pearls. Inspired by this and similar examples, Georgescu went on to elevate his observations to a Fourth Law of Thermodynamics — or Law of Matter Entropy — describing the degradation of the organizational state of matter:

- ...a system that can exchange only energy with its outside and performs work indefinitely at a constant rate [...] is another thermodynamic impossibility. [... S]ooner or later, some elements will become totally dissipated.

The bottom line for Georgescu is that due to material dissipation and the generally declining quality of resource utilization, materials in the end may become more crucial than energy. This leads him to criticize Boulding’s claim of no law of increasing material entropy. He rejects Daly’s version of a steady-state economy on the grounds that materials dissipate in a closed system such as the Earth just as energy does. Georgescu states:

Complete recycling being impossible, even in the steady state the "transactions" between the economic process and the environment must necessarily consist of some available matter as well in order to compensate for the matter dissipated continuously and irrevocably. Georgescu also rejects the "infinite resources" arguments because they ignore the importance of changes in the quality of matter. For example, some optimists state that the literal notion of running out of materials is ridiculous because the entire planet is composed of minerals. Georgescu exposed the fallacy of this argument by observing that, by the same token, we could argue that we will never run out of energy because the entire planet is full of energy. Indeed, the ocean contains enough energy to support undreamed of economic activity for millennia to come. However, the temperature gradient in the ocean is so small that for all practical purposes the enormous store of energy is unavailable. Similarly, Georgescu argues that many of the materials are in low quality deposits that for all practical purposes render them unavailable.

Georgescu’s emphasis of material quality shares a common theme with the biophysical perspective of resource scarcity held by some ecological economists and a number of physical scientists. The biophysical manifestation of scarcity is the use of, and often times the depletion of, increasing amounts of natural and human-made capital to deliver a unit of resource to society. A decline in the quality of the natural resource base due to cumulative depletion, an increase in the instantaneous rate of exploitation, or an increase in the scale of extraction, increases the amount of natural capital used to extract a unit of natural resource. The biophysical perspective of scarcity measures the cost of obtaining natural resources in physical terms, and thereby emphasizes the throughput of energy and materials required to extract resources, and the resultant impact of that throughput on a broad array of ecosystem services in different quantities and spatial scales.

Natural resources in a highly organized state are more economically useful because they have lower energy costs. The inverse relation between resource quality and the energy cost has been demonstrated for a wide range of minerals and fossil fuels. The increased effort required to develop lower grade resources also increases their environmental cost. In metal mining, for example, deterioration of ore quality in underground mines spurs the expansion of surface mining where the volume of waste material produced per ton of ore is twelve times greater. The stripping ratio (tons of waste per ton of ore extracted) in metal, nonmetal, and coal surface mines in the U.S. has increased sharply in the last half-century. That decline in resource quality increases the land required to produce a ton of coal which, in turn, increases the amount of degraded land that must be reclaimed and the quantity of water used in reclamation. Cutler J. Cleveland found that the increase in the energy cost of petroleum extraction in the U.S. also is associated with an increase in the quantities of water used and CO2 released in the extraction process.

Georgescu’s Fourth Law has been criticized by a number of analysts in economics and the physical sciences. Ayres and Miller argue that Georgescu’s assertion that intrinsically scarce materials cannot be recovered (regardless of energy expenditure) from average rocks and the ocean is just plain wrong. They observe that physical dissipation of materials can never result in a distribution worse (from the standpoint of recovery) than a hypothetical homogenous regolith in which every element is present exactly in its average crustal abundance. They argue that all elements can be extracted from such a regolith provided there is enough available energy. Ayres and Miller conclude that, in theory, energy is the only resource that could ultimately limit economic growth.

It recently has been pointed out, that on a fundamental physical level, there is no such law as the Fourth Law of Thermodynamics stated by Georgescu. Whether at the molar or molecular level, in principle it is always possible to use the incoming high-quality energy to trace, collect and reassemble the dissipated elements. Well-documented counter examples to Georgescu’s Fourth Law include the biogeochemical cycles—driven by the influx of solar radiation—that constantly funnel dissipated materials through a closed, global ecosystem and temporarily generate high material concentrations. It is those processes that lead to the formation of pearls from ocean water in the first place, the agglomeration of metals in ores and the formation of fossil fuels.

The theoretical flaws of Georgescu’s Fourth law have led some to dismiss Georgescu’s ideas or deny their significance. What should be at issue, however, is not a "categorical impossibility" of perfect recycling asserted by Georgescu. More important are the relationships among the processes that lead to a dissipation of high-quality energy and degradation of material resources on the one hand and the processes that capture high-quality energy and change materials from less desired to more desired thermodynamic states on the other hand. With thermodynamics, central for an assessment of these relationships are the concepts of information and time.

To be able to trace and collect dispersed materials requires not only the availability of energy but also information and time. The fundamental physical relationships among those three inputs into processes that upgrade the state of materials have been described by Szilard (1929) and applied to industrial systems by Spreng, Chen, Ruth and Bullard and Ruth. The role of information relative to the other inputs into production processes prompted Boulding to claim that energy itself is unimportant. What is important is the knowledge to make use of material endowments that are present in less desired forms and change their state to more desired ones. In the case of biological systems, that knowledge is embodied in their genetic make-up. In the case of economies, it is present in the capital goods, human capital, institutions and other repositories of knowledge such as computers and libraries.


Despite the flaws in Georgescu’s definition of a Fourth Law, his insistence on the importance of materials for production and consumption processes highlighted the differences between economic processes and "natural" processes. The wide-ranging impact of his work is evident in a number of ways. Economists and ecological economists continue to discuss and debate important details of Georgescu’s work, and they debate conventional economists about the usefulness of thermodynamics in economic analysis. Numerous studies of material and energy flows across the economy-environment boundary applied mass and energy balances to account for those flows and their contribution to economic production. Others have expanded on the use of mass and energy balances to account for changes in the quality of the material and energy flows as production and consumption occur. Georgescu’s focus on the dispersal of materials and limits on recycling foreshadowed the development of the fields of industrial metabolism and industrial ecology in which the analysis of material cycles is used to understand how production and consumption impact the environment, and how to design new technologies that reduce such impacts. Finally, the importance of the entropic perspective advanced by Georgescu and the other pioneers is evidenced by the prominent attention devoted to it in histories of thought, surveys of ecological economics, and this volume in his honor."


More information

Cleveland, Cutler J . 1999. Biophysical Economics: From Physiocracy to Ecological Economics and Industrial Ecology. In Bioeconomics and Sustainability: Essays in Honor of Nicholas Georgescu-Roegen, J. Gowdy and K. Mayumi, Eds. (Edward Elgar Publishing, Cheltenham, England), pp. 125-154.


Cleveland, Cutler (Lead Author); Robert Costanza (Topic Editor). 2008. "Biophysical economics." In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth September 14, 2006; Last revised November 18, 2008; Retrieved April 24, 2009]. <>