APEC 3611w: Environmental and Natural Resource Economics
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  1. 4. Macro Goals
  2. 10. The Whole Economy
  • Home
  • Syllabus
  • Assignments
    • Assigment 01
    • Assigment 02
    • Weekly Questions 01
    • Weekly Questions 02
    • Weekly Questions 03
    • Weekly Questions 04
    • Weekly Questions 05
  • Midterm Exam
  • Final Exam
  • 1. Global Context
    • 1. Introduction
    • 2. The Doughnut
  • 2. Micro Foundations
    • 3. The Microfilling
    • 4. Supply and Demand
    • 5. Surplus and Welfare in Equilibrium
    • 6. Optimal Pollution
  • 3. Market Failure
    • 7. Market Failure
    • 8. Externalities
    • 9. Commons
  • 4. Macro Goals
    • 10. The Whole Economy
    • 11. Sustainable Development
    • 12. GDP and Discounting
    • 13. Inclusive Wealth
    • 14. Fisheries
  • 5. Climate Change
    • 15. Climate Change
    • 16. Social Cost of Carbon
    • 17. Climate IAMs
    • 18. Air Pollution
    • 19. Water Pollution
  • 6. Natural Resources
    • 20. Non-renewables
    • 21. Will we run out?
    • 22. Fisheries
    • 23. Forestry
    • 24. Land as a resource
    • 25. Land-use change
  • 7. Natural Capital
    • 26. Ecosystem Services
    • 27. Valuing Nature
    • 28. Biodiversity
    • 29. GIS and Carbon
    • 30. Sediment Retention
    • 31. Ecosystem Tradeoffs
  • 8. Future Scenarios
    • 32. Uncertainty
    • 33. Possible Futures
    • 34. Positive Visions
  • 9. Policy Options
    • 35. Policy Analysis
    • 36. Market Policies
    • 37. Real World Policies
  • 10. Earth Economy Modeling
    • 38. Earth Economy Models
    • 39. Gridded Models
    • 40. EE in Practice
  • 11. Conclusion
    • 41. What Next?
  • Games and Apps
  • Appendices
    • Appendix 01
    • Appendix 02
    • Appendix 03
    • Appendix 04
    • Appendix 05
    • Appendix 06
    • Appendix 07
    • Appendix 08
    • Appendix 09
    • Appendix 10
    • Appendix 11
    • Appendix 12

On this page

  • Resources
  • Content
    • Introduction and Overview
      • Course Logistics and Schedule
    • The History of Linking Environment and Economy
      • Malthusianism and Population Dynamics
      • The Limits to Growth Report
      • The Market Versus Environment Perspective
    • The Great Acceleration
      • Socioeconomic Trends
      • Earth Systems Trends
    • Integrating Micro and Macro Perspectives
    • Understanding the Whole Economy: Circular Flow, Growth Models, and GDP
      • Review: Malthusian Crisis and the Great Acceleration
      • Building a Detailed Model of the Planetary Donut
      • The Earth-Economy System
      • The Circular Flow Diagram
      • The Micro-Founded Circular Flow Diagram
      • The Economy-Earth Tension
      • Understanding Economic Growth
      • The Ramsey Model
      • The Solow Growth Model
      • Integrating Growth Models with the Circular Flow Diagram
      • Applying Models to Earth Economy Questions
      • A Physical Model of the Economy
      • The Limitations of GDP
      • Conclusion
  • Transcript (Day 1)
  • Transcript (Day 2)
  • Appendix
    • Learning objectives
    • What GDP is
    • What GDP leaves out
    • Flow vs stock: the accounting mistake at the heart of sustainability
    • Growth, development, and the Doughnut
    • Why this matters for policy
    • The Earth–economy modeling shift
    • A simple thought experiment
    • Toward better metrics
    • Open resources you can remix for this chapter
    • Exercises
    • Chapter roadmap
  1. 4. Macro Goals
  2. 10. The Whole Economy

GDP, Growth, and the Environment

Partial vs General Equilibrium

Resources

Slides 10

Content

Introduction and Overview

Today we are going to zoom back out from our very micro-analysis of things like externalities and start thinking about the broader scale again, examining the whole economy. This lecture represents a transition from the detailed examination of market failures and externalities to a more comprehensive view of how economists conceptualize the relationship between economic activity and the environment.

Course Logistics and Schedule

Before diving into the substantive content, it is important to review where we are in the course progression. The current date marks the due date for Assignment 2, and Quiz 2 will be administered during this class session. The quiz will focus on content similar to what appeared in Assignment 2, particularly dealing with marginal abatement cost curves and total cost curves, which are challenging concepts that will be discussed in more detail in subsequent lectures.

Looking ahead, the next class session will feature the first of three guest speakers, Dr. Famara Adamfa, who will discuss sustainability and related topics, including the Kuznets Curve. Students should read through Chapter 11 in preparation for that discussion. Weekly questions number 4 are also due on that day.

The course will then proceed to examine other measures of what we care about as a society. Once we introduce the question of what sustainable development means, the question of what we are really trying to get from our economy becomes central. Questions about whether we should optimize for happiness, GDP, or other metrics will become important topics of discussion.

The midterm exam is scheduled for March 6th, right before spring break. The exam will be the same length as a class period and will be administered in class. It is expected to be approximately twice as long as one of the quizzes in terms of content, with somewhat more variety in question types including some multiple choice questions, but largely similar in format to what students have already seen.

The History of Linking Environment and Economy

The relationship between nature and the economy has deep intellectual roots, extending back at least to Thomas Malthus, and possibly earlier. Understanding this intellectual history is essential for comprehending modern debates about sustainability and the limits of economic growth.

Malthusianism and Population Dynamics

Malthusianism represents one of the foundational arguments that has shaped environmental discourse and often underlies environmental doom and gloom perspectives. The core argument is deceptively simple: population grows exponentially while food production grows only linearly.

Thomas Malthus originally described this as geometric versus algebraic growth, though a more accessible framing is simply that population growth is exponential while growth of the food supply is linear. When we chart this relationship over time, a significant problem emerges.

Population growth is exponential because a larger population means there are more people around to reproduce, which means that the next time period could have an even greater increase. The curve representing population therefore steepens at an increasing rate over time.

The argument holds that because there are fundamental limits on the production of food, food supply will not scale exponentially. There are various discussions about what these limits might be, but a fundamental constraint is that the amount of farmland is relatively fixed. This constraint only relaxes in frontier situations, such as the American frontier, where abundant natural land can be converted to agriculture. In cases where the amount of land is fixed, food production cannot grow exponentially unless one assumes some other factor like technological growth.

Thomas Malthus argued that this dynamic would lead to societal collapse through starvation and other calamities. The key insight from this perspective is the concept of the Malthusian Trap. Whenever more food was produced, it might seem beneficial and perhaps made people happier in the short run, but eventually it simply led to a larger population that would reach a new equilibrium with whatever food could be produced.

It is worth noting that if one examines ecological systems, such as white-tailed deer in northern Minnesota or other wildlife populations, this dynamic is essentially what occurs. These populations exist in a Malthusian trap where the number of animals is essentially a function of the amount of food available to them. While there will be fluctuations, the population continually pushes against its food-based limits.

The Limits to Growth Report

The Malthusian framework set the stage for a second major landmark in environmental-economic thinking: the Limits to Growth report. This famous and, depending on one’s perspective, infamous report studied exponential economic growth with a finite supply of resources. It retained a distinctly Malthusian character but shifted the focus from population to economic growth and expanded beyond just food to consider a finite supply of resources more generally, though food remained one of the factors considered.

This report represents one of the very first instances where researchers used computer simulation of interactions between humans and the environment to draw conclusions about sustainability. While the computers available at that time were far slower than modern technology, the methodological approach of using computational models to understand human-environment interactions remains influential.

The Limits to Growth model built on the Malthusian idea but added considerably more specificity and complexity. Like the Malthusian framework, time is the key dimension, but the researchers attempted to make specific predictions looking both historically and into the future. The model retained many features of the Malthusian framework, including a growing population, but went further in attempting to model what would actually happen rather than simply identifying a problematic inflection point.

The model contained equations defining population growth. As more people inhabit the planet, and particularly as industrial output per capita grows, the problem of collapse emerges. Resources fall toward zero as they are consumed. Industrial production is also a key factor in the model. The total impact on Earth in terms of resource extraction depends on both population and industrialization levels. If people are not consuming very much, they will not have a large impact on the resource stock. However, if consumption patterns include resource-intensive activities like private jet travel for weekend trips, resource use increases dramatically. Therefore, the number of people multiplied by their industrial production levels determines how quickly resources are depleted. As resources become scarce, population collapse follows.

This report was widely influential and appeared simultaneously with another famous work, The Population Bomb by Paul Ehrlich, along with other modern takes on Malthusianism that emphasized doom and gloom perspectives. The common framing was that humanity exists on a spaceship Earth and is running out of resources.

This mode of thinking was widely influential and contributed significantly to the initial environmental movement, which can be considered a positive outcome. However, it was also heavily criticized for fearmongering.

As a side note on the accuracy of these projections, they turned out to be not entirely wrong on many dimensions, though they would be more accurate if shifted somewhat in time. While we obviously have not experienced a population collapse, much of the rest of the predicted impacts, in terms of environmental harm, have tracked more or less on target. The possibility of future population collapse cannot be definitively ruled out.

The Market Versus Environment Perspective

The limits to growth arguments and Malthusian-flavored thinking led to a conception that has dominated much of the discourse: the idea that it is the market versus the environment. This framing positions capitalism and the market as fundamentally opposed to environmental protection.

This is a fascinating question with no definitively correct answer; time will reveal the truth. There are interesting subsidiary questions as well, such as what approaches are most effective for persuading people to change their behavior. The perceived conflict between market activity and environmental protection has waxed and waned over time, but for a long period, environmental considerations and economic activity were viewed as exclusively opposed.

Some factors that pushed thinking in the other direction included increasing emphasis on international equity. This became salient because when low-income countries that had not yet industrialized faced pressure from rich countries to protect their environment rather than grow their economies, many perceived this as fundamentally unfair. Complex questions of justice and development emerge from this tension.

The Great Acceleration

Whatever models we construct could have questions about various elements, particularly regarding whether and how economic and ecological collapse might occur. However, there are essentially no questions about the phenomenon referred to as the Great Acceleration.

This phenomenon has been written about extensively and can be categorized into two buckets of observational data. The first bucket concerns exponential growth in socioeconomic indicators. The second concerns exponential growth in measures of Earth systems trends, or damages to the Earth.

Socioeconomic Trends

On the socioeconomic side, population and GDP both show a clear pattern. Around 1950, many of these indicators reach an inflection point where growth becomes exponential, exhibiting a much faster growth rate. From approximately that point forward, the GDP growth rate has been essentially 3.5 percent per year.

To put this in perspective, consider what the GDP growth rate was between the year 0 BCE and 1500 CE. The answer is approximately 0.01 percent. The economy essentially did not grow; any changes were swamped by regional variation. The current state of exponential growth is actually the exception to the historical rule, not the norm.

The questions of why this acceleration occurred are complex, but it is unavoidably true that there has been an exponential increase in consumption-related activities. Fertilizer use, transportation, and telecommunications have all grown exponentially, with telecommunications growth being even more dramatic. This trend toward acceleration appears to continue into the future. Current spending on artificial intelligence is astronomical, and the growth rate of AI investment has been faster than the adoption of any other technology ever, as measured by dollars. There appears to be a continuing acceleration of economic activity.

Earth Systems Trends

The reason environmental economics matters is that the acceleration of economic activity parallels trends of increasing environmental harm. Carbon dioxide emissions are an obvious example, but one can also examine ocean acidification, fish catch limits, and numerous other indicators.

Integrating Micro and Macro Perspectives

Our goal, which will be developed more fully in the next lecture, is to recognize that the course has so far focused on micro-level considerations: decision-making by consumers and producers, and thinking about optimal pollution levels. However, we will want to take those analytical tools and quantitatively integrate them into the bigger question of how society can remain in what might be termed a safe and just corridor.

This corridor is defined as a space where we are neither overshooting our physical limits nor undershooting or under-providing the key goods and services that we want. The formal arguments that economists traditionally use about economic growth, and what those arguments imply for sustainability, will be the focus of upcoming lectures.

Understanding the Whole Economy: Circular Flow, Growth Models, and GDP

Review: Malthusian Crisis and the Great Acceleration

The previous lecture covered Thomas Malthus and the Malthusian crisis, which describes the scenario where population growth outstrips food production growth. This concept has slightly more modern alternatives, such as the Limits to Growth framework.

The class left off discussing the great acceleration. The goal moving forward is to integrate both sides of the planetary donut, understanding how the exponential growth of the economy has potential downsides to the environment, while also recognizing that economic growth is fundamentally necessary to produce the key goods and services that society needs.

Building a Detailed Model of the Planetary Donut

This section begins adding more detail towards the claim made in the first lecture: that the course will work towards making a more detailed model of the planetary donut. This approach is useful because it incorporates macro goals, like staying within the donut, while maintaining micro-consistency. This means the model ties back directly to the micro theory covered earlier in the course.

The Earth-Economy System

Two Interconnected Systems

There are two different systems to consider: the Earth and the economy. The economy is definitely embedded within the biosphere, but it can be useful to think about these as separate systems because, at least traditionally, they have been studied using very different methodologies.

The relationship between these systems involves impacts, where economic activity affects the Earth, and dependencies, where economic activity relies on environmental services, such as oxygen provision.

Impact Pathways

There are numerous examples of impact pathways from the economy to the environment. Key examples include deforestation, pollution, and water pollution. These represent the traditional environmentalist perspective on the relationship between the economy and the environment, viewing it primarily as one of harm caused by economic activity.

Dependencies

Increasingly, especially when taking an Earth economy framing at a macro level focused on sustainability, there is recognition of dependencies. These include a stable climate, clean water, productive agriculture, and intact biodiverse ecosystems.

Connecting to the Planetary Donut

This framing is useful because each of these two systems corresponds to one part of the donut. Earth systems define the ecological ceiling, while economic systems define the social foundations.

This understanding leads to two different domains that require learning about modeling approaches. For Earth systems, there will be a substantial section on ecosystem services, which attempts to assign specific valuations to how changes in the Earth affect the ecological ceiling.

The course has already established tools specific to the economy. Economic activity, the flow of goods and services, literally creates goods like food, which is obviously important for food security. The simultaneous functioning of both systems is the goal.

The Problem with Conceptual Models

One significant pet peeve in the sustainability space concerns people who develop what they call models, but are really just conceptual ideas. The planetary donut somewhat falls into this category because it discusses indicators without an underlying model that describes the system. The planetary donut is valuable because it provides very detailed indicators, but there is no model that can be used to test how different policies would affect outcomes.

Economics, in contrast, actually has very detailed models. What follows demonstrates how principles of economics can build up to become the calculation engine, the model that allows testing how well society is producing fundamental goods and services.

The Circular Flow Diagram

Basic Structure

The circular flow diagram consists of households and firms as the two types of agents. They are linked by the products market and the factors market. As taught in introductory economics courses, there are two flows of things moving in opposite directions.

Physical Flow and Monetary Flow

The first is the physical flow, which appears on the outside of the diagram. When a firm brings something to the products market, those are goods and services. When a household goes to a store like Target, the products market, and obtains those items, those are also called goods and services.

In addition to this physical flow of things, like a blender moving from the factory to Target to a household, there is an opposite direction flow of expenditures. When a household spends money at the products market, this is called expenditure. When the firm receives this money, it is called revenue.

The Factors Market

The top part of the circular flow diagram represents one half of the story. The conception also explains how firms were able to produce in the first place. The other half, the bottom side, is the factors market.

The household is assumed in this model to initially own the endowment of capital and labor. Labor is fairly obvious; everyone possesses their own labor. It is somewhat more arbitrary to say households own capital, but nonetheless, they sell these factors to firms in the factors market.

The firm has an opposite direction flow, paying things like wages, rents, interest, or profit. When experienced by the household, this is called income.

Beyond Principles of Economics

This is typically where a Principles of Economics class stops, so this material is familiar. However, at intermediate or more advanced levels, these elements become ever more detailed and fit together in a beautiful symphony of connections.

The circular flow diagram is not merely a conceptual model. It is not something that fails to specify how variables and functions relate; it is a specific model. The dynamic version on the course website demonstrates this.

The Micro-Founded Circular Flow Diagram

Household Optimization

The household maximizes utility subject to a budget constraint. This can be visualized graphically with an indifference curve and a budget constraint. This determines exactly how much of a product a particular household will want to use.

Making this dynamic and computed directly shows what happens when, for instance, income increases. The indifference curve and budget constraint shift. With more income, households can simply afford more things. This produces more overall utility, but it also changes supply and demand. As income changes, demand increases and shifts right. This is one of the shifters taught in principles courses.

Supply and Demand Equilibrium

This leads to a supply and demand graph derived from the household’s optimization. The equilibrium is predictive in that this price is what will happen; otherwise there are surpluses or shortages of goods being produced. This information feeds down to the next part of the model.

Firm’s Problem

A simple representation of the firm’s problem shows they maximize profit subject to production costs. At a given price, a particular firm may be doing very well. The firm might make substantial economic profit because they set their production level where marginal revenue, which equals price in a perfectly competitive firm, equals marginal cost.

Production Function and Factor Markets

The story continues: production is valued by the consumer, but there is also a consistent way of explaining how production happened. What goes into the production function is equivalent to asking what are the costs. These are the things the firm needs to buy, in this case from households: another supply and demand relationship, but for labor.

All different combinations can be explored. The factors of the household can be adjusted. The overall productivity of the firm can be modified, and as they produce more, GDP goes up.

GDP as a Metric

This approach allows extraction from the circular flow diagram of a metric of how well the economy is doing. Politicians often discuss how great the economy is doing using GDP as the primary metric. They favor it because it is easy to explain. Despite its downsides, GDP is evident and based on a theoretically consistent approach called being micro-founded. This means it is derived from a very basic idea of consumer and producer behavior.

This is a real simulation that solves the maximization of utility and profits simultaneously. Different scenarios can be explored, such as what happens if many firms enter the market. The supply curve shifts. This is good for GDP, but not good for individual suppliers because there are more of them now, dividing the pie into smaller and smaller portions.

The Value of Micro-Founded Models

This tool provides a really well-defined metric of the social foundation. Of course, it is oversimplified, with GDP missing some details, but it does capture other details that matter, like different sectoral outputs. A more complicated version of this graph could include healthcare as a sector, or food as a sector, providing real computational estimates of those things.

In many microeconomics classes, the microeconomic theory of profit maximization and utility maximization is not tied to the circular flow diagram. About half of classes actually attempt to get to that point. This connection is important because it demonstrates that very micro-defined elements add up to something macroeconomic in nature. It is very consistent.

The Economy-Earth Tension

Economic Activity and the Social Floor

GDP represents economic activity, and the summary is that economic activity keeps society above the social floor.

The Problem of Scale

The problem is that the economy itself has now grown so large that the impacts of the economy on the Earth are undermining the stable flow of dependencies from the Earth.

This represents a novel way of expressing the problem. This perspective is not found in a standard environmental natural resources class. It might appear in a sustainability class, but it represents relatively new research, an emerging synthesis of how to tie these two things together.

A conceptual graphic illustrates this: when the economy is small, it fits within the ecological ceiling. But as more goods and services are produced, as society moves out of the Depression into a world of affluence with abundant goods, the economy gets bigger. The problems of the social foundation, producing enough goods, are no longer the main issue. Instead, the concern is systematic overshoot of the ceiling.

Understanding Economic Growth

Growth as a Key Variable

The key variable in much of this discussion is growth. On one hand, this relates to how much old environmentalism was focused on being anti-growth, anti-GDP. Movements such as degrowth or steady-state economics reflect considerable interest in the idea that stopping growth would solve the problem.

Throughout this course, the argument will be that the situation is more complex. Both the ecological ceiling and the benefits of production must be considered. The analysis will be more detailed than the standard environmental criticism of economics.

To understand this complexity requires diving deeper into how economists actually think about growth, because growth is one of the key variables underlying all of this. What follows builds out the mathematics of how economists like to think about growth.

The Ramsey Model

Frank Ramsey’s Contributions

Frank Ramsey is probably unfamiliar to most people. He was an absolute genius who made fundamental advances in three different fields: philosophy, mathematics and logic, and economics. All of this came before the age of 26, because he died tragically young. He created the mathematics that became the standard economic way of thinking about why economies grow.

Why Economies Grow

If asked for the most simplified definition of why economies grow, an economist might say something like: capital accumulates. Capital refers to things like factories and inputs to production. The interesting property of capital is that capital existing in one time period will probably still exist in the next time period. If the amount of capital keeps growing through more factories and more tools, this provides the underlying source of economic growth.

The Optimal Amount of Growth

Frank Ramsey addressed the question of how to determine the optimal amount of growth, and how consumers maximizing their own utility would choose, hopefully, the ideal amount of growth to have.

This becomes a maximization problem, maximizing a utility function. The main difference from previous models is simplification: utility depends just on one thing, C for consumption, but subscripted with T because economic growth obviously happens over time, requiring more than just a single time period.

The setup is similar to before but simplified. It is a maximization, but instead of being subject to a budget, Ramsey decided to incorporate production into the same agent. The person maximizing utility is also going to choose production.

The constraint states that the amount of consumption in the utility function equals the production function. This mixes from both sides of the circular flow diagram. There is utility, but the constraint is a production function that depends simply on how much capital is used.

The Investment Decision

One more element is added: consumption equals production minus investment. The thinking is, if production yields 100 units of economic activity, at most 100 could be consumed. But if only 90 is consumed, the remainder of 10 is called investment.

Investment means foregoing consumption, subtracting I from available production. This is useful because capital in the next period, K(T+1), equals capital in the current time period plus investment.

The Basic Growth Story

The basic story emerges that it is undesirable to consume all production right away. It is better to invest, grow the capital stock, and be able to produce more in the future. Foregoing consumption now might be beneficial because it enables more consumption later.

This is the most basic, stripped-down version of economic growth, but it underlies the key models that institutions like the Federal Reserve Bank of Minneapolis use when calculating projections for economic growth. They essentially solve this question but with more detail and ties to the real economy.

The Solow Growth Model

Beyond the Ramsey Model

The Ramsey model is a useful concept, but it is so simplified, with one consumption good and one agent producing that consumption good, that it is difficult to tell a rich story about the economy. More detail is needed.

The Production Function

In particular, the production function will take the form: output equals capital raised to some exponent alpha, multiplied by labor. This states that output, and because this concerns the whole economy, that means production or GDP, is created by mixing together some version of labor and capital.

This is more realistic in the sense that machines in a factory are a significant part of the production process, but people are still involved doing something. Perhaps not for long, as robots might take over. Robots are basically like human laborers but are not humans, so they count as capital. There is extensive debate on this topic, but basically the ratio of capital to labor is changing and evolving over time, and AI and robotics might be shifting this fundamentally.

Robert Solow’s Contributions

With this relationship established, the second model is the Solow growth model, named after economist Robert Solow. He builds on the basic idea but adds more detail, both on the sectors of capital and labor, and on how the capital stock evolves over time.

The notation defines K as capital and L as labor. Time subscripts are added because the Solow model solves for the optimal levels of K and L at each time period T. This is necessary for understanding economic growth.

Capital Accumulation Over Time

The production function Y(T) evolves over time depending on two different things: investment and depreciation.

The equation states that K(T+1), capital in the next time period, equals capital in time period T multiplied by D, the depreciation rate. Some formulations use 1 minus D. For example, if the depreciation rate is 0.95, that means every year, without any other changes, the capital stock decreases by 5%. This is depreciating capital; literally, things break.

The second component is investment. Investment equals Y(T), total production at time T, minus C(T). Whatever is not consumed goes in as capital to be used in the next period.

The Condition for Growth

With this setup, economic growth happens if the capital invested accumulates the total capital stock faster than it depreciates. This should hopefully be the case. It would be irrational to invest in the economy if depreciation was so severe that production could not actually compensate for it.

What would create such a situation? A war. Bombing represents depreciation. This is why economic growth goes negative during wars. Even if production of tanks increases, depreciation of the capital stock through literally bombing factories causes negative growth.

The basic story is that capital accumulation leads to growth. The Solow growth model, which won the Nobel Prize, has become a workhorse model for explaining how key variables within an economy fit together to produce GDP.

Integrating Growth Models with the Circular Flow Diagram

Consistency Across Frameworks

The growth models might seem quite different from the circular flow diagram. There are some similarities: there is a utility component and a production function. But remarkably, everything still fits together into the circular flow diagram.

The circular flow diagram can actually be observed in operation. The course website has two versions demonstrating this.

The Financial Market

The simplified version shows the exact notation that has been defined, placed on the appropriate parts of the circular flow diagram. The key addition is the financial market. This enables the transition of wealth from one time period to the next.

This is where the K(T+1) function appears, showing exactly what was defined: depreciated capital plus investment. This illustrates that investment comes from savings. A household maximizes utility, but one consideration is future utility, so it might become optimal not to consume everything but to invest some in economic growth.

This flows into the financial market. The equation is straightforward: savings becomes investment. They are tracked as different variables because they feel different. One represents a household giving up consumption, another represents a firm receiving resources. But savings becomes investment, expressed as a growing capital stock.

There is also a dotted line for depreciation, representing the net flow of capital. This is how the concepts fit conceptually.

The Dynamic Simulation

A more elaborate version simulates the model. It solves the equations over time using mathematical methods or direct computation for the larger Solow growth model.

The simulation can be stepped from one time period to the next. Running it shows 212 years of economic future being simulated. With each step, different indicators change: Y for total production, the capital stock, consumption, and GDP.

Depending on the parameter set, clicking step forward shows GDP growing. Eventually, it reaches an equilibrium. This relates to a separate finding that bigger economies grow slower.

This is not surprising. Part of the explanation is that larger economies have already utilized all technology advances, while lower-income countries still have catch-up potential because they can implement existing technologies. Eventually, the economy converges to a steady state.

The visualization shows boxes growing bigger and arrows growing thicker, representing GDP increases. The size of arrows directly represents the value of flows. At later stages, investments just barely stay ahead of depreciation, which is why the economy grows slower. Resetting and running from the beginning shows growth being much more effective, with substantial investment and relatively low depreciation.

Exploring Parameters

Different parameters can be explored, such as people’s preference for savings. If people strongly prefer saving, what happens? In a society where people value future utility highly and save a lot, what occurs?

The money not spent on consumption becomes investment, which turns into capital stock. This is somewhat counter to how the economy is normally discussed. News reports emphasize consumer confidence. When consumer confidence goes down and people buy less, being cautious with their money, this results in less growth if money just stays in bank accounts.

However, the model simplifies this. The savings equals investment assumption means instead of growing a stockpile in a bank or under a mattress, all money not spent goes towards capital accumulation.

Playing with this parameter shows that as people want to consume more, the equilibrium amount of investment goes down. Considering the opposite question: how effectively would an economy grow if a person consumed every single bit of product produced?

Without any investment, the capital stock would break down. Factories would not be maintained. This would be equivalent to a farmer eating all produce and keeping none as seed. There is an optimal amount of seed to keep. Having only seed is not useful because it cannot be eaten. But consuming all corn with no seed corn remaining leads to being much worse off.

There is an intertemporal trade-off between consuming everything now, which provides immediate satisfaction, versus maintaining the ability to grow the capital stock.

The Beauty of Theoretical Consistency

This demonstrates how all these components fit together. No part of this is unanswered. It provides a theoretically consistent approach that is not just derived from first principles but is also quite predictive.

This is why Federal Reserve Banks run models like this. They can observe economic indicators like hiring, wage rates, and consumer purchases in time period T, and make predictions about what consumption will be in T+1.

This capability is extremely important because central banks have important policy tools, like interest rates, or decisions about investing in certain types of goods for use in the next period. If they can make good estimates of how much GDP will be produced in the next time period from current data, they can better manage the economy.

Referring back to the first or second class session, the frequency of recessions was shown. There was approximately a three-fold reduction in recession frequency at about the same time that central banks started using tools like this. This represents a positive development.

Applying Models to Earth Economy Questions

From Prediction to Policy Analysis

Having this model allows asking questions of it, like what would happen if people consumed more and saved less. Counterfactuals, what-if scenarios, become possible.

Beyond just predicting economic activity, these tools can be tied back into the broader framework. The focus turns to thinking about how economists have made significant progress on problems of underconsumption. This is premised on the idea that during the Great Depression, there truly was a case of underconsumption, and tools like those discussed helped navigate out of that situation.

The Shift to Overconsumption

But as the economy has grown and started to push planetary boundaries, challenges have morphed more into ones of overconsumption. To understand the optimal trade-off between economic activity and the downsides of economic growth, a detailed representation of both is needed.

The circular flow diagram with a savings and growth mechanism built in is the basic idea for making progress. This is where the course is heading. There will be a return to these concepts, actual computations, and policy experiments. This work will be conducted with different countries that will ultimately form the basis of final projects.

A Physical Model of the Economy

The Monetary Income Analog Computer

The goal is building a model, which is a mathematical construct. But a model can also be thought of as literally a physical model. A group created the Monetary Income Analog Computer (MONIAC).

This device shows how water flows through the economy. There is an income source at the bottom. Water flows to households. Some is taxed. Taxes go to the government, and the government fund continues the flow.

This provides an example of where the course is heading: creating a model. The water-based model might be useful because it could make predictions about how changing the interest rate would affect the economy. It is a pretty inefficient way of computing because it uses water pumps instead of mathematical functions.

But the idea is the same: there are inputs and outputs, which were calibrated. Surprisingly, the creators were actually able to calibrate the model, basically changing the relative strengths of pumps, until the thing was surprisingly accurate.

Essentially, they ran the model on historical time series of economic data and used it to see if it could predict what would happen in the next period. They achieved accuracy within 2%, which is remarkable.

The Limitations of GDP

A Narrow Metric

GDP is a narrow metric. It is simplistic and elegant, and it is at least in some way related to well-being because people enjoy consuming food, for instance. But GDP leaves out a tremendous amount.

Looking Ahead

This is where the guest lecturer on Monday will pick up the discussion. He will talk about sustainable development, which essentially involves growing the economy and increasing the capital stock. Sustainable development applies this to real countries while trying to define it in a way that accounts for the environment. He will also discuss GDP and its flaws, as well as potential replacements for GDP.

Conclusion

This lecture has covered the theoretical foundations linking microeconomic behavior to macroeconomic outcomes through the circular flow diagram, introduced the Ramsey and Solow growth models as frameworks for understanding capital accumulation and economic growth, and positioned these tools within the broader Earth economy framework that will guide the remainder of the course. The key takeaway is that rigorous, micro-founded economic models provide both predictive power and a platform for policy analysis, but they must be integrated with environmental considerations to address contemporary challenges of sustainability.

Transcript (Day 1)

All right, everybody, let’s go ahead and get started. Today, we are going to zoom back out from our very micro-analysis of things like externalities and such, and start thinking about the broader scale again, and that is the whole economy, as I’ve labeled it here.

Side note, I was generating the image for today’s slide, and if you look at it, it doesn’t make a lot of sense. It doesn’t say “food supply,” it says “food supply” down here, and that’s not even a word, and this is definitely not the circular flow diagram we’re going to be talking about. But then I tested it again and asked for it in vertical mode, and apparently it’s easier for AI to think about economics in the portrait configuration of an image, because then it got it right. Here’s our circular flow diagram, and it doesn’t make up words anymore. I just thought that was kind of funny.

So what we’re going to do today: we’re going to have a quick logistics check, looking at where we’re at, where we’ve been, and where we’re going. And then we’ll have micro quiz two that you all are excited for. That will take maybe 20-25 minutes, and then we’ll spend a relatively short period of the rest of class giving a short little history of linking the environment and the economy. That will build up to discussions of partial and general equilibrium, and the circular flow diagram, but theoretically consistent this time. A lot of that might get put onto the next lecture, just because we’ve got this quiz today.

The other logistical note is I crashed my website. The publishing script crashed moments before class, and I didn’t have time to fix it, so I sent out a Canvas announcement with a link to these slides as a temporary workaround, but I’ll fix it.

When the website does get updated again, I decided to add one additional way to organize the information. Again, I’m playing with the content of this course and trying to figure out what’s the most straightforward way. So the website still has the other way of listing deadlines and stuff, but I’ve actually kind of reverted back to a table like Schedule 2. This will be the same content, but just a little bit easier to look at. So where are we here? We are at the 18th of February, and that’s when Assignment 2 is due, and Quiz 2 is what we’re having today.

Same content, but looking ahead, on Monday, we’re going to have our first of three illustrious guest speakers, and this will be Dr. Famara Adamfa, who I mentioned before. He’ll be talking about sustainability and a whole bunch of related things, and also something called the Kuznets Curve. Do have a read through Chapter 11. And note that your weekly questions, which I’ve already assigned, number 4, are due that day.

And then going forward, what we’re looking at is other measures of what we care about. As soon as you have this question of what is sustainable development, the question of what are we really trying to get from our economy becomes central. Is it happiness? Is it GDP? Important questions like that will become really central, so we’ll be diving into that.

And then just note that coming up will be on the 6th of March, the midterm exam. And right after that will be spring break. It’s a little bit before the actual mid of the term, but it was either this right before Spring Break, or having the midterm right after Spring Break, and which one is better? Right before? Yeah, I don’t want a midterm hanging over you while you are probably having way more fun than I’m having. So we’re going to put that right before spring break, then you can forget about everything for a week.

The midterm will be the same length as the class, and it’ll be in class. I’d expect it will be about twice as long as one of the quizzes. In terms of content, maybe a little more. There’ll be a few other questions, a little bit more variety of questions, a few multiple choice, but largely similar to what you’ve seen.

So before we dive into the history of linking the environment and the economy, let’s just get this quick quiz out of the way. It should be very similar to what you’ve seen in the assignment 2 that is due today. Let’s aim for being done at 10 past the hour.

[Quiz time]

So that’s traditionally the hard test in this one. So it’ll be on a curve, don’t worry too much. But good job making it through it. Marginal abatement cost curves, total cost curves, all very challenging, I think. We’ll have plenty of time to talk about the answers next class or so.

Today, I want to spend the last 10 or 15 minutes talking about the content for today, and we actually then have a guest coming in, talking about a research opportunity that would be super relevant to people in this class, so she’ll present that for the last few minutes.

So I wanted to return to the question of what’s this history of how economists have thought about the relationship between nature and the economy. And it goes way back, I would argue, to at least Thomas Malthus, maybe before. Who has heard of Malthusianism before? A few? It’s a scary thing. It’s an argument that has been the basis for environmental doom and gloom for quite a while. And the argument is basically that population grows exponentially, but the food production grows linearly.

Thomas Malthus actually called it geometric versus algebraic, and I’m not actually sure what that means. So I’m just going to say population growth is exponential, but growth of the food supply is linear, and when we chart this out over time, it poses a bit of a problem.

So we have quantity and time, so time is the axis here, a little different. And when we say population is exponential, we mean that it’s going to be exponentially increasing. Mathematically speaking, exponential could also be a curve that’s flattening out, but what he means is that it’s exponentially increasing. And why is that? Well, a larger population means there are more people around to reproduce, which means that the next time period could have an even greater increase, and so it’s going to be curving up at a steeper rate.

The argument, though, is that because there are some fundamental limits on the production of food, that’s going to not scale exponentially. And there’s plenty of discussions about what those limits are, but a real basic one is the amount of farmland is relatively fixed. Except if you’re in a case of a frontier, like the American frontier, as we called it, where you do have a whole lot of natural land to convert to agriculture. If instead you’re dealing with a case where you’ve got a fixed amount of land, it is true that that wouldn’t be able to grow exponentially unless you assume something else, like technological growth.

Thomas Malthus argued that this will lead to societal collapse, essentially from starvation and other calamities, and argued that it’s going to be just this catastrophe. And so the takeaway is that there was a Malthusian Trap. Whenever we would produce more food, that would seem like a good thing, and maybe in the short run it did make people happier for a little bit, but eventually it just led to a larger population that would then come to a new equilibrium with however much food we could produce.

Side note, if you look in ecology, or you look at white-tailed deer in northern Minnesota, or anything like this, that actually is pretty much what’s going on. They’re in a Malthusian trap where the number of deer is going to be essentially a function of the amount of food that’s available for them. It’ll fluctuate, sure, but it’s going to be pushing up against that limit.

That kind of set the stage. And the second big landmark report that I would say is what was referred to as the Limits to Growth. In the Limits to Growth, this was a famous and/or infamous, depending on how you look at it, report that studied exponential economic growth with a finite supply of resources. It had a distinctly Malthusian feeling to it. But instead of population, it was economic growth. And instead of just food, although food was one of the things they considered, it was a finite supply of resources.

I actually really like these folks because it was one of the very first times that somebody used a computer simulation of interactions between humans and the environment to make a conclusion about sustainability, and that’s literally what I do. My computer is a whole lot faster than theirs.

So this was a very early example of a simulation where you have a model. It’s very similar to the Malthusian idea, but adds quite a bit more specificity and complexity. And so yes, it’s going to be time again, but now they’re trying to make specific predictions, looking both historically and out to the future. And it’s going to have a lot of the same exact features of the Malthusian model, such as a population that is growing, but they go a little bit farther and try to model out what will happen, not just say that this is a point that’s going to be bad, but what will actually happen.

And so they’re going to have equations that define population growth. As more people are on the planet, and in particular, as industrial output per capita grows, we’re going to have the problem of collapse as well. And so it’s resources falling to zero as we consume them. And the other big factor in here is industrial production. The key point is that the total impact on the Earth, in terms of extraction of resources, is going to depend on both the population and how industrialized they are, because if you’re not consuming very much, you’re not going to have a big impact on the resource stock, but if you’re taking private jet trips to your favorite weekend spots, you’re obviously going to use a lot more resources. And so the number of people times their industrial production levels is what depletes the resources. And as the resources get low, that’s what causes the population crash.

This was widely influential. It was simultaneous to another famous book called The Population Bomb by Paul Ehrlich, and some other modern takes on Malthusianism that really emphasized this idea of doom and gloom, where we are on some spaceship Earth, and we’re running out of resources. That was literally the phrasing that they would often use.

And this was widely influential. It’s what led to the initial environmental movement, so that’s a good thing. But it was also very heavily criticized for fearmongering.

As a side note, the projections turned out to be not that wrong on a lot of stuff if you just took this and shifted it quite a bit. And so we obviously haven’t had a population collapse, but a lot of the rest of it, in terms of the impact, has been charting more or less on target, and I guess we can’t rule it out that the population collapse would come in the future. We’ll return to that.

But my point with all of this is these limits to growth arguments and Malthusian-flavored thinking led to this conception, which I think has dominated a lot of the discourse, that it’s the market versus the environment.

Who sees it that way? Who sees it as capitalism and the market being fundamentally opposed to environmental protection?

Student response: I feel like regardless of what the system is, and there’s obviously arguments for which ones might be more or less beneficial to the environment, but I think for whatever economic system there is, you still have to operate within that if you want to improve the environment. Because improving the environment is a really vague term. But if you want to make things better, and if you want to get people kind of on your side and make it convenient for them and appealing to them, you still have to operate within that, unless there’s a total economic collapse. But I don’t know if we’ll be worried about the environment as much at that point.

Right, agreed. And what’s your thinking on the contradiction between the two?

Student response: The Malthusian argument is persuasive.

This is a fascinating question, and I think there’s no correct answer to this, or we’ll find out and see. There’s also interesting points, like what’s the best way to persuade people? There’s a little bit of that flavor in your system of thinking. All I’ll comment on is that it’s kind of come and gone, waxed and waned and gone back and forth. For a long time, it really was exclusively seen as the environment versus economic activity.

Some of the things that pushed it back in the other direction, though, were increasing emphasis on international equity. And this comes because if you have low-income countries who have not yet industrialized, and you have rich countries telling them you should protect your environment and not grow your economy, this struck many people as very unfair. And so there’s some complex questions in there.

But what I’ll do for today is leave it aside to say that whatever we model, we see as underlying all of this. We have a lot of questions about this part, the part where it falls, but we have absolutely no questions about what is referred to as the Great Acceleration.

And this has been written about extensively, and it can be broken down into two different buckets of just observational terms of exponential growth on socioeconomic indicators and also exponential growth of measures of Earth systems trends, or damages on the Earth. And so on the socioeconomic side, population, GDP, right around 1950 or so, a lot of these have an inflection point where it just starts going exponential, has a much faster growth rate. From here onwards, the GDP growth rate was essentially 3.5% every year.

Who can guess what the GDP growth rate was between the years 0 BCE and 1500 BCE? About 0.01%. It essentially did not grow. It was swamped by regional variation. The state of having this exponential growth is actually the exception to the rule, not at all the norm.

The questions of why are complex, but it’s unavoidably true that we do have this exponential increase in a bunch of consumption-related things, like fertilizer, or transportation, or telecommunications, even more exponential. And the more into the future we get, the even more exponential it seems. And so AI right now, the amount of money being spent on AI is astronomical, and the growth rate of that has been faster than any other adoption of any other technology ever, as measured by dollars. And so there seems to be this acceleration of economic activity.

But of course, the reason we’re here is we’re talking about the fact that this is parallel to all these trends of increasing environmental harm, like carbon dioxide emissions obviously, but you can also look at it in terms of ocean acidification, or just how many fish can we catch, all sorts of different things.

And our goal, that we’re going to return to next class, and then I’ll hand it over to our guest speaker here for a second, is I wanted to remind us that we’ve been so far focused on sort of micro-level things, decision-making by consumers and producers, and thinking about what’s optimal pollution. But we’re going to want to take those tools and quantitatively integrate them into this bigger question of how do we stay in the safe and just corridor, where we are neither overshooting our physical limits, nor are we undershooting or under-providing some of the key things we want.

And so next lecture, we’ll pick up where we left off on these slides and start to present the formal arguments that economists traditionally use about economic growth and see what they imply. But for now, I’d like to hand it over to a guest speaker who wants to talk very briefly about a really cool opportunity.


Guest Speaker (Abiba):

Hello everyone! My name is Abiba, and I am an undergraduate student, a senior here at the University of Minnesota. I study corporate sustainability, and I also work at the Institute on the Environment as a sustainability program assistant. I just wanted to let you know about an opportunity that we have for you to present any work that you’ve worked on, whether it’s research, stories, projects, or community building research.

It’s the Sustainability Symposium that we will be hosting at the Learning and Environmental Science Building on March 27th. You have an opportunity to win prizes for those who will have a great presentation, as we will have judges. There’s also an opportunity for networking, as we will have a networking session, free food, and workshops about career goals.

You can submit your proposal by February 19th, which is actually tomorrow for the priority deadline, and then March 3rd for the final. The priority deadline is especially important because I think last year we had like 108 applicants, and we only took 50, like half of the applicants. So if you apply for priority, we will review the applications first, and there’s more probability of actually presenting.

It’s just a great opportunity to showcase your work, to engage with other people’s work, and to get feedback from judges, which are professionals that work in companies in Minnesota. Here is a QR code that links you to the actual application form, and this is the link to the website where you will be able to find more information about that.

You can also, if you go to the website, there is a registration form for just attendees, and you can just go around. People will present. We have lightning talks, we have posters, and we have creative works. So if you come in, you can just go around and look at what’s going on. The schedule will be posted this week, but it’s not on the website now, so you’ll be able to look at what is going on at what time of the day. You can just pop in whenever, but we want to know how many people will be there, so we would want you to register if you can before, and you can do that by going into our website.

Professor: I’ve attended this before and participated in it. It’s a lot of fun, so I’d just say it’s a nice, hopeful, positive, and just really best quality event.

Abiba: Yes, we learn a lot. Even me, who works there, I attend some sessions and I’m like, “Oh my god, I’ve never heard about this.” I think it’s really great, actually.

We also have the Impact Awards, and it’s correlated with the symposium because the awards are given at the symposium. Basically, if you think that you’ve made some efforts in your environment related to sustainability, or you’ve worked on a project that you think has had an impact in your environment, or anything else that you think was great that you did, that you participated in, and that actually impacted the world you live in, you are able to apply for the Impact Awards. Then you must have something like a referee that can support your application saying that person actually impacted their environment. You might be able to get awarded $500 for the individual award, and the collaborative award is $1,000. This is also March 27th for the actual award.

That’s it for me.

Professor: Thanks so much. That’s it for today, everybody. Have a good rest of your Wednesday.

Transcript (Day 2)

Alright, let’s get started. Welcome back to Lecture 10, where we’re going to continue talking about the whole economy and how all these different parts fit together.

The agenda for today is pretty straightforward. We’re going to pick up where we left off on the whole economy, so the slides are actually going to be the same as last class. But we’ll move onwards to the circular flow diagram, and emphasize its theoretical consistency with what we’ve done before with our microeconomic tools.

Two quick updates. I have decided on a new policy: you can drop your lowest quiz. This is a Pareto-improving move, right? Nobody dislikes this. I guess if you did really well, and you really wanted to punish everybody else around you, maybe you could be against that, but what have we learned about rationality and people who punish others?

That’s the first policy change. The other quick one is, I just added some more detail. The syllabus had previously lumped assignments and quizzes into the same 20%. Now I’ve split it out to be more detailed: it’s 10 and 10. They’re kind of the same thing because they’re the same content, but that’s how it stacks up.

The other edit is the writing assignment now has more specificity. Previously, it just said 20%, but it didn’t specify the breakdown between the 5% going to one of the writing assignments coming up pretty soon, versus 15% going to the final project, where you do an Earth economy report on a specific country.

Any questions about those?

I’m worried too many people are relying on my video lectures. This is definitely the biggest downside of having an open course: you can’t get people to come. But I am marking down attendance, so if you’re watching this video and you’re not here in class, you just missed out on some points, unless you have class points to compensate for them.

Also, Monday I’ll be gone, and we’ll have an esteemed guest, Dr. Damfa, talking about sustainable development. He’ll be picking up the exact spot that we’ll leave off today, which will be GDP and how it’s good, but also how it’s bad as a metric for development.

You can skip all these slides because this is what we talked about last time, but just to rehash, we talked about Thomas Malthus and the Malthusian crisis, where population growth outstrips food production growth. And then its slightly more modern alternatives, like the Limits to Growth.

Where we left off was talking about the great acceleration. Our goal is going to be integrating both sides of the planetary donut, understanding how the exponential growth of the economy has all sorts of potential downsides to the environment, but also how it’s fundamentally necessary to produce the key goods and services that we want.

Today, this is where we’re going to start adding more detail towards that claim I made on the first lecture: that we are going to be working towards making a more detailed model of the planetary donut. I’m going to emphasize throughout that this is going to be a useful way of thinking about it, because it incorporates macro goals, like staying within the donut, but with micro-consistency. What I mean by that is we’re going to tie this back directly to your micro theory that we spent time going through so far.

So what do we have here? We have two different systems: the Earth and the economy. I’ve drawn different conceptions before, but I want to drive this home. The economy is definitely embedded within the biosphere, but it can be useful to think about these as separate because, at least traditionally, they’ve had very different methodologies used to understand them.

We’re going to add some language to this to talk about impacts, where economic activity impacts the Earth. But also talk about dependencies, where economic activity itself relies on some part of the environment providing something we need, like oxygen.

There are all sorts of examples you could think of for each of these different impact pathways. For impacts, a couple key ones would be deforestation, pollution, water pollution, etc. These are all the traditional environmentalist ways of thinking about the relationship between the economy and the environment as mostly one of harm, that economic activity causes problems.

But increasingly, and especially as we take the Earth economy framing at a more macro level looking at sustainability, we need to recognize the dependencies, such as a stable climate, clean water, productive agriculture, and keeping our biodiverse ecosystems intact.

This framing is useful because each of these two different systems correspond to one of the different parts of the donut. Our Earth systems are what define the ecological ceiling. But it’s our economic systems that define our social foundations.

That’s essentially going to come down to the two different domains that we’re going to spend time learning more about how to understand and model them. In the Earth systems, we’ll have a huge section on ecosystem services, which tries to put a specific valuation on how changes in the Earth affect that ecological ceiling.

But we’ve also already put in place a whole bunch of tools specific to the economy. This is important because the activity, the flow of goods and services, is literally what creates the goods, like food, which is obviously important for food security. The simultaneous functioning of both of these systems is what we’re aiming for.

Side note, one of my biggest pet peeves in the sustainability space is people who come up with what they call models, but they’re really just conceptual ideas. The planetary donut is a little bit like that because it’s talking about indicators, but there’s no underlying model that describes it. The planetary donut is nice because it does give us very detailed indicators, but there’s no model that we can use to try out how different policies would affect it.

What’s nice about economics is we actually do have really detailed models. This is one particular example, and if you’re following along, you can click on the interactive version. What I’m going to do now is show how some of the things you learn in principles of economics can build up to be the calculation engine, the model that lets us test out how well we are producing those fundamental goods and services.

Just to rehash, we’re going to have households and firms as our two types of agents. They’re going to be linked by the products market and the factors market. As you learned in your intro course, there are going to be two flows of things that go in opposite directions.

The first is the physical flow, which will be on the outside. When we talk about a firm bringing something to the products market, those are goods and services. When the household goes to Target, the products market, and gets those, those are also called goods and services.

But in addition to this physical flow of a thing, like a blender making it from the factory to Target to your house, there’s also an opposite direction flow of expenditures, which is what we call it when the household spends some money at the products market. We give it a different name, revenue, when the firm receives it.

The top part is one half of the story. But what I like about this conception, as we’re moving towards understanding the whole economy, is it also explains how those firms were able to produce in the first place.

The other half of this, the bottom side, is what we call the factors market. The household is assumed in this model to initially own the endowment of capital and labor. Labor is pretty obvious; we all have our own labor. It’s a little more arbitrary to say households own capital, but nonetheless, they’re going to sell these to firms in the factors market.

The firm has an opposite direction flow, which is the firm paying things like wages, rents, interest, or profit. When experienced by the household, this is income.

That’s usually about where you stop in a Principles of Economics class, so I’m not saying anything earth-shattering here. But what I want to emphasize is that when you get to the intermediate or even more advanced levels, these things are ever more detailed and fit together in a beautiful symphony of connections. I would recommend you actually load this one up.

The circular flow diagram is not a conceptual model. It’s not something that doesn’t specify how variables and functions relate; it’s a specific one. So I’m going to load up the dynamic version on our website.

What I’ve done here is built the circular flow diagram, but I’ve attempted to embed all of the other micro-foundational, microeconomic things that we have put into this.

The household is going to maximize utility subject to budget. We have a really nice graph for that. You might remember we have our indifference curve and our budget constraint. That’s what determines exactly how much of the product this particular household is going to want to use.

What I’ve done over here is make this all dynamic and computed directly. If you, for instance, had more income, what actually happens? We can see the indifference curve and budget constraint shifting around. You give them more income, and they can simply afford more things. That produces more overall utility, but it also changes supply and demand. As you change the income, you can see there is more demand. Demand shifts right. That’s one of the shifters that you learn about in principles.

That leads to a supply and demand graph that is derived from this. What happens next with that information? We’ve talked about the equilibrium. This is going to be predictive that this price is what’s going to happen; otherwise we have surplus or shortages of the goods being produced. That’s the information that feeds down to the next part.

Here, I have a simple representation of the firm’s problem. They maximize profit subject to production costs and such. But ultimately, this is showing that at this price, this firm is actually doing really well. This particular firm is making a bunch of economic profit because they’re going to set their production level where their marginal revenue, which is just the price in a perfectly competitive firm, is equal to their marginal cost.

The story continues: the production here is valued by the consumer, but we also are going to have a consistent way of saying how that production happened. What goes into the production function? Another way of putting it is, what are the costs? Those are going to be the things that the firm needs to buy, in this case from households: another supply and demand relationship, but for labor.

Looking at this, we can try out all the different combinations. We could adjust the factors of the household. We could talk about the overall productivity of the firm, and as they produce more, what do we see? GDP going up.

The cool thing about this is you can extract from the circular flow diagram a metric of how good the economy’s doing. Who’s heard about politicians talking about how great the economy’s doing and talking about GDP as the best metric? Why do they like it? It’s because it’s easy to explain. We’re going to talk about the downsides of that, but it’s at least very evident and is based on this theoretically consistent approach, which is what we call micro-founded. That just means it is derived from this very basic idea of consumer and producer behavior.

This is a real simulation. It’s solving the maximization of utility and profits simultaneously. You can try out all the different scenarios of what happens if different factors change in the economy. Like, what if a lot of firms enter? Well, the supply curve shifts. That’s good for GDP, but it’s not good for the suppliers because there’s more of them now, and they divide the pie into smaller and smaller chunks.

Why am I showing this? It’s because we’ve got a tool that gives us a really well-defined metric of that social foundation. Of course, it’s oversimplified, GDP missing some of the details, but it does have other details that we care about, like different sectoral outputs. We could make a version of this graph that was more complicated and included healthcare as a sector, or food as a sector, and it gives real computational estimates of those things.

I’m curious: in your micro classes, do they ever tie the microeconomic theory of profit maximization and utility maximization to the circular flow diagram? About half of classes actually try to get to that point, but I really wanted to drive it home because to me, it’s such a beautiful thing that we have these very micro-defined elements, and they add up to something that is macroeconomic in nature. It’s very consistent.

So we produce GDP, and the summary of this is that economic activity keeps us above that floor. But what’s the problem? The problem is that the economy itself has now grown so large that the impacts of the economy on the Earth are undermining the stable flow of dependencies from the Earth.

This is sort of a novel way of expressing this. This part you don’t get in a standard environmental natural resources class. You might get it in a sustainability class, but this is kind of new research, an emerging synthesis of how we can tie these two things together.

I’m illustrating this sort of cheeky graphic of the economy: when it’s small, it fits within the ecological ceiling. But as we produce more and more goods and services, as we get ourselves out of the Depression and into this world of affluence where we have tons of goods, the economy gets bigger. The problems of the social foundation of producing enough are no longer the main issue. Instead, it’s that we are systematically overshooting the ceiling.

The key variable in a lot of this is growth. On the one hand, this comes back to what I said the other day about how a lot of old environmentalism was really focused on being anti-growth, anti-GDP. There’s movements out there such as degrowth or steady-state economics, and there’s a lot of interest in this idea that if we just stopped growth, that would solve the problem.

Of course, we’re going to argue throughout this course that it’s more complex, that we need to think about the ecological ceiling but also include the benefits of production. We’ll make it more detailed than the standard environmental criticism of economics.

But to understand that, I want to dive deeper into how economists actually think about growth, because growth is one of the key variables underneath all of this. We’re going to spend some time building out the mathematics of how economists like to think about growth.

Probably nobody’s heard of Frank Ramsey. He was an absolute genius who made fundamental advances in three different fields: philosophy, mathematics and logic, and economics. All of this came before the age of 26, because he died, which is kind of tragic. I’m well over 26, and I didn’t get that much done when I was 26.

What he did was create the mathematics that became the standard economic way of thinking about why economies grow.

If you ask an economist for the most simplified definition of why economies grow, it might be something along the lines of: capital accumulates. Capital is like factories, inputs to production. The cool thing about it is the capital that you have in one time period will probably still exist in the next time period. If you can keep growing the amount of capital, more factories, more tools, this is the underlying source of economic growth.

Frank Ramsey was charged with the question of how we can talk about the optimal amount of growth, and how consumers maximizing their own utility would choose, hopefully, the ideal amount of growth to have.

So it’s going to be a maximization problem. It’s going to be maximizing a utility function. The big difference is we’re going to simplify it a little: it’s just going to have one thing, C for consumption, but we’re going to subscript it with T. That’s because economic growth obviously happens over time, so you need more than just a single time period.

It’s really similar to before, but simplified. It’s a maximization, but now, instead of being subject to a budget, Ramsey decided to cram in the production into the same agent. So this person who’s maximizing their utility is also going to choose production.

This is going to be subject to: the amount of consumption that they get in their utility function is equal to the production function. Now we’re mixing from both sides of this circular flow diagram. It’s utility, but here this is a production function. It’s just going to depend really simply on how much capital you push into that function.

We’re going to add one more element: consumption is going to be however much you produced minus investment. The thinking is, if you produced 100 units of economic activity, you could, at most, consume 100. But what if you only consumed 90? There’d be some remainder, 10, that we’re going to call investment.

What investment does is, if you forego consumption, you’re going to subtract out I, and that’s useful because we’re going to talk about the capital in the next period, K(T+1). How much we have in the next period is going to be the amount of capital we had in this time period, plus the investment.

The basic story emerges that you want to not consume all of the stuff right away, because you would be better off investing it, growing your capital stock, and being able to produce more and more in the future. Foregoing consumption now might be good because you can then have more consumption later.

This is the most basic, stripped-down version of economic growth, but it’s sort of behind the key models that places like the Federal Reserve Bank of Minneapolis use when they’re calculating their projections for economic growth. They are essentially solving this question, but with more detail and tying it to the real economy.

So that’s Ramsey.

The second one I want to talk about adds a little bit more detail. The Ramsey model is a useful concept, but it’s so simplified—one consumption good, one agent producing that consumption good—that it’s hard to tell a rich story about the economy. I want to add more to it.

In particular, we’re going to have a production function that looks like this: taking two things, capital raised to some exponent alpha, and labor.

This is saying the output, and because we’re talking about the whole economy, that’s production or GDP, is going to be created by mixing together some version of labor and capital. This is a little more realistic in the sense that machines in a factory are a big part of the production process, but we still have people in there doing something.

Maybe not for long; maybe we’ll have robots. Robots are basically like human laborers, but they’re not humans, so they’re just capital. There’s actually a whole debate on this, but basically, the ratio of capital to labor is changing and evolving over time, and AI and robotics might be shifting that fundamentally.

With this relationship, we’re going to talk about our second model: the Solow growth model, named after the economist Robert Solow. He’s going to build off of this basic idea but add more detail, both on the sectors, capital and labor, but also on how that capital stock evolves over time.

Just to fill out our notation: K is capital, L is labor. I didn’t put the T’s in here yet, but what the Solow model adds is the idea that we’re going to solve for the optimal levels of K and L at each T. We need that because we’re trying to understand economic growth.

That’s the production function Y(T), but the way it evolves over time is going to depend on two different things: investment and depreciation.

How do those fit in? We’re going to add detail to this equation. We’ll say K(T+1), the capital that we have in the next time period, is going to be the capital that we had in time period T, multiplied by D, the depreciation rate. Some people have it as 1 minus D. That might be, like, 0.95. If it was 0.95, that means every year, if we don’t do anything else, the capital stock will go down by 5%. That’s depreciating capital; literally, things break.

But the second thing we want to allow for is the investment component. It’s going to be Y(T), total production at time T, minus C(T). What is this? This is investment. Before, we saw that the amount you produced, Y, minus your investment is how much you consume. If you flip this around and want to solve for investment: I(T) equals Y(T) minus C(T). Basically, whatever you didn’t consume goes in as capital to be used in the next period.

With this setup, economic growth is going to happen if the capital that you invest accumulates the total capital stock faster than it depreciates. That’s hopefully going to be the case. It would be pretty irrational to invest in the economy if depreciation was so bad that you couldn’t actually produce enough to make up for it.

What does that sound like? A war. If you’re bombing stuff, that’s depreciation. That’s why economic growth goes negative when you have a war. Even if you are producing a bunch more tanks, if you have depreciation of your capital stock through literally bombing factories, that is how it fits in here.

The basic story is that this capital accumulation leads to growth. The Solow growth model, which won the Nobel Prize, is one that has become a workhorse model for explaining how the key variables within an economy fit together to produce this thing that we are obsessed with getting called GDP.

Any questions on this?

In terms of quizzes, I’m not going to have you solve the Ramsey or Solow models, but you will need to be able to understand them. The sort of question I might ask would be, what would this add? Or how do you interpret this variable?

This seems really different than the circular flow diagram, right? There are some similarities. We have a utility bit, we have a production function. But the crazy thing is, this all still fits together into the circular flow diagram.

We can actually literally see the circular flow diagram in operation. I’ve got two versions of it on the website to show you.

This one’s a little simplified. What we have here is this exact notation that we’ve been defining on the board, but put on the appropriate parts of the circular flow diagram. Obviously, the key thing we’ve added is this financial market. What that enables is the transition of wealth from one time period to the next.

You see that’s where the K(T+1) function is, and it’s exactly what we have: depreciated capital plus however much you invested in it. This illustrates that investment is coming from savings. A household maximizes its utility, but one of the things it’s considering is its future utility, so it might become optimal to not consume it all, but invest some of it in economic growth.

That goes into the financial market. This is a pretty boring equation, but S becomes I. We’re just keeping track of it because they’re like different variables; they feel different. One’s a household giving it up, and another is a firm getting it. But savings becomes investment, and that is expressed as a growing capital stock.

There’s also this dotted line for depreciation, so you could think of this as the net flow in of capital. That’s where it fits conceptually.

I spent way too long on this next one. Do load this one up. This is going to look the same, except I actually simulated it. There are mathematical ways to solve this, or the bigger Solow growth model. But here, what I’ve done is actually gone ahead and done it, where it’s going to solve it over time.

The first thing you can do is this little button here, “step,” which is going to step from the first time period to the next. You can hit play; that maybe goes too fast. But basically, it’s going to simulate out 212 years of economic future.

When we hit step, we’re going to see things change. The first is these different indicators: Y, which is the total production; the capital stock; how much consumption happens; and highlighted up here in a really fancy graphic is the amount of GDP.

Depending on our parameter set, if you keep clicking step forward, you can see that the GDP grows. When you hit play, it will just grow all the way out. Eventually, it’ll hit an equilibrium. That’s a sort of separate finding we won’t talk about, but bigger economies grow slower.

That’s not too surprising. Part of it is simply because they’ve already utilized all the technology advances, and lower-income countries still have a lot of catch-up they can do because they can just implement those existing technologies. But yeah, eventually it converges to a steady state.

Where I spent all the time is it’s kind of hard to see, but the boxes grow bigger, and the arrows grow thicker, representing that the GDP increases. The size of those arrows is actually directly representing the value of what’s going on.

You can see essentially here the story is the investments are just barely staying ahead of the depreciations at this point, and that’s why the economy is now growing slower. But if you reset it and hit play, you can see essentially growth is a lot more effective. We have a ton of investment, and depreciation isn’t that bad yet.

Other things that you can think about is people’s preference for savings. If people really like saving, what’s going to happen? What would happen in a society where people really like future utility and save a lot? Would this be good or bad for growth?

What would they do with the money that they didn’t spend on consumption? And what does investment turn into? Capital stock. So it’s kind of funny; it’s quite counter to how we normally talk about the economy.

We talk about when consumer confidence goes down. That’s probably what you’re picking up on the news. We always report this: consumer confidence goes down, people are buying less, they’re being cautious with their money. That will result in less growth if you assume it just stays in their bank account. But we’ve actually simplified this model.

The savings equals investment assumption means instead of growing a stockpile in your bank or under your mattress, we’ve made an assumption, probably incorrect, that all of the money we don’t spend will go towards capital accumulation.

You can play with that, and you see as people want to consume more, the equilibrium amount of investment goes down. Maybe a flip side of asking this question to the rest of the class: how effectively would an economy grow if a person consumed every single bit of product that was produced?

What would happen? What would you not be doing? What would happen to your capital stock if you didn’t keep fixing factories? They would break.

This would be the equivalent of a farmer eating all of their produce and not keeping any as seed. There’s an optimal amount of seed to keep. You don’t want to have only seed because that’s not something you can eat. But the point is, if you consume all of your corn, and you don’t have any seed corn left over, you’re going to be much worse off.

There is this intertemporal trade-off between consuming it all now, which will feel really good and give you a full belly, but then you won’t have the ability to grow your capital stock.

I just find this beautiful, the way all these things fit together. There’s no part of this that’s not answered. It gives a really theoretically consistent way that is not just derived from first principles, but is also quite predictive.

So the Federal Reserve Banks, why do they run models like this? It’s because they can look at economic indicators like hiring, wage rates, and consumer purchases in time period T, so C sub T, and make a prediction about what C(T+1) will be.

This is super important because they have all sorts of important policies, like what’s the interest rate, or should we invest in certain types of goods to be used the next period. If they can make a good estimate of how much GDP will be produced in the next time period from our currently observed data, they can better manage it.

You might refer back to the first or second day of class when I showed the frequency of recessions. There was basically a three-fold reduction in the frequency of recessions at about the same time that central banks started using tools like this. That’s a good thing.

Back to the slides. That’s what we just did together, but I want to tie this back to where we’re going. We’ve got this model because now we can ask questions of it. Like, what would happen if people consumed more and saved less? We can do counterfactuals, what-if scenarios.

But besides just predicting economic activity, we want to tie these things back into our yet broader framework. It’s going to be thinking about how economists have made huge progress on the problems of underconsumption. This is all premised on the idea that if we were in the Great Depression, that truly was a case of underconsumption, and tools like what we just talked about helped us navigate our way out of that.

But as the economy has grown and started to push planetary boundaries, the challenges have morphed more into ones of overconsumption. To understand the optimal trade-off between economic activity and the downsides of economic growth, we need to have a detailed representation of both.

This circular flow diagram, but with a savings and growth mechanism built into it, is the basic idea of how we can make progress. That’s where we’re going in this class. We’re going to return to this, we’re actually going to compute some and start to do policy experiments, and we’re going to do this with your different countries that will ultimately turn into your final project.

The ending video that I want to leave us with is this one. The goal is building a model, and I think that’s a lot of fun. But what is a model? A model is a mathematical construct. But you can also think of a model as literally like a model, and that’s what this particular example does.

A group created the Monetary Income Analog Computer. This thing here is going to show how water flows through the economy. We have this income tag down here. Those are water trees. That income reaches households. Some of that is taxed. Taxes go out of the government, and the government fund…

I’ll leave that link for you if you want to see more, but it’s an example of where we’re going. We want to create a model. That one might be useful because you could make predictions about how changing the interest rate would affect the economy. It’s a pretty inefficient way of computing it because instead of mathematical functions, they’re using literally water pumps.

But it’s sort of the same idea: it’s got an input and an output, and that’s what they were calibrating. Surprisingly, they were actually able to calibrate the model, basically changing the relative strengths of one pump versus another pump, until the thing was surprisingly accurate.

Essentially, what they did is they ran the model on historical time series of economic data and used it to see if it could predict what would happen in the next period, and then see, did it actually come up with a good prediction? They got it to within an accuracy of 2%.

I think that’s amazing. This is where we’re going. But not with water. Although, if somebody would do this for their final project, I guarantee you 100% in this class. As long as I get to keep the model and it is accurate to within 2%.

I have to keep that last caveat, because somebody really could take me up on this offer and just plug a pump into a fish tank or something.

What’s the big flaw on this? This is just indicating where we’re going. GDP is a narrow metric. It is simplistic and elegant, and it’s at least in some way related to well-being because we like to consume food, for instance. But GDP leaves out a ton.

That’s where we’re going to pick up with our guest lecturer on Monday. He’s going to talk about sustainable development, which is basically this: grow your economy, have your capital stock go up. Sustainable development is applying that to real countries and trying to define it in a way that takes into account the environment. But he’ll also talk about GDP and its flaws, as well as potential replacements for GDP.

And with that, I think we’re done. Thank you. Any questions?

Have a great Friday!

Appendix

Learning objectives

After this chapter, you should be able to:

  • Explain what GDP measures—and what it does not.
  • Distinguish flows of production from stocks of wealth.
  • Describe how environmental degradation can coincide with rising GDP.
  • Identify why GDP-centered policy can push societies outside the Doughnut.
  • Explain why Earth–economy modeling requires metrics beyond GDP.

What GDP is

Gross Domestic Product (GDP) is:

The market value of all final goods and services produced in an economy over a given period.

It is a flow measure: - “How much economic activity occurred this year?”

GDP is excellent at what it was designed to do: - track business cycles, - compare short-run economic performance, - summarize market production.

It was not designed to answer:

  • Are people’s needs being met?
  • Are ecosystems being depleted?
  • Is the economy becoming more resilient or more fragile?
  • Are we living off income—or running down our assets?

Yet GDP is often used as if it answered all of these.


What GDP leaves out

GDP includes:

  • timber sales,
  • fossil fuel extraction,
  • medical spending after pollution-induced illness,
  • rebuilding after disasters.

GDP excludes:

  • unpaid care work,
  • ecosystem services,
  • loss of biodiversity,
  • depletion of soils, forests, fisheries, and aquifers,
  • long-term climate risk.

This leads to a paradox:

An economy can grow while its foundations erode.

A country can:

  • log its forests,
  • deplete its groundwater,
  • burn fossil fuels,
  • increase GDP,
  • and become poorer in the long run.

GDP records the harvest.
It does not record the asset being destroyed.


Flow vs stock: the accounting mistake at the heart of sustainability

Recall Chapter 2:

  • Flows change stocks.
  • Stocks determine future possibilities.

GDP tracks flows of production.

Sustainability depends on stocks of wealth:

  • produced capital (machines, infrastructure),
  • human capital (health, skills),
  • natural capital (land, ecosystems, climate stability).

Running down a stock to boost a flow looks good in GDP:

  • clear-cutting a forest raises GDP today,
  • but reduces future timber, carbon storage, and resilience.

In household terms:

  • GDP is your spending this year.
  • Sustainability is whether your net worth is rising or falling.

You can have a great year while going bankrupt.


Growth, development, and the Doughnut

The Doughnut reframes the growth question:

  • Growth is valuable if it lifts people above the social foundation.
  • Growth is harmful if it pushes activity beyond the ecological ceiling.

GDP growth alone cannot tell these apart.

Two countries can have identical GDP growth:

  • One invests in education, clean energy, and restoration.
  • The other expands extraction and pollution.

They diverge in long-run well-being and resilience.

GDP cannot see the difference.


Why this matters for policy

GDP-centered policy tends to:

  • reward throughput over regeneration,
  • treat disasters as “economic boosts,”
  • ignore slow ecological degradation,
  • undervalue prevention.

Examples:

  • A hurricane raises GDP through reconstruction.
  • Air pollution raises GDP through healthcare spending.
  • Overfishing raises GDP until the fishery collapses.

From an Earth–economy perspective, this is backwards:

We should reward building assets, not liquidating them.


The Earth–economy modeling shift

Earth–economy models treat the economy as:

  • a system of production and exchange,
  • embedded in biophysical systems,
  • drawing on and altering natural capital.

They therefore require:

  • tracking stocks (carbon, land, biodiversity, wealth),
  • modeling feedbacks (ecosystems → productivity → prices → land use),
  • and evaluating paths over time, not just annual output.

In these models:

  • a policy that raises GDP but degrades ecosystems may be judged harmful,
  • a policy that slows short-run growth but rebuilds assets may be judged beneficial.

This is a different objective function.

It asks:

Are we building a resilient portfolio of assets that can sustain human well-being within planetary limits?

GDP cannot answer that.


A simple thought experiment

Two countries start identical.

Country A: - extracts fossil fuels aggressively, - clears forests for short-run revenue, - underinvests in education.

Country B: - invests in clean energy, - protects ecosystems, - expands education.

For 20 years:

  • Country A has higher GDP growth.
  • Country B appears “slower.”

After 30 years:

  • Country A faces climate damages, water scarcity, and instability.
  • Country B has cleaner energy, higher skills, and resilience.

GDP praised A and doubted B—until it was too late.

This is why sustainability requires a different lens.


Toward better metrics

This chapter does not yet replace GDP.

It prepares you to ask:

  • What should we measure instead?
  • How do we track whether we are inside the Doughnut?
  • How do we align policy with long-run wealth?

The next chapters answer these by introducing:

  • “beyond GDP” dashboards,
  • and then inclusive wealth as a coherent alternative.

Open resources you can remix for this chapter

All are compatible with a CC BY-NC-SA Quarto book.

  • Principles of Economics (UMN Libraries Publishing, CC BY-NC-SA)
    Use for: GDP definition, circular flow, limits of GDP.
    https://open.umn.edu/opentextbooks/textbooks/principles-of-economics

  • Natural Resources Sustainability: An Introductory Synthesis (CC BY-NC-SA)
    Use for: sustainability framing, natural capital.
    https://uen.pressbooks.pub/naturalresourcessustainability/

  • InTeGrate teaching materials (many CC BY-NC-SA)
    Use for: applied data activities on growth and environment.
    https://serc.carleton.edu/integrate/teaching_materials/index.html


Exercises

  1. GDP or not?
    For each item, say whether it increases GDP and whether it increases long-run well-being:
      1. rebuilding after a flood
      1. restoring a wetland
      1. extracting a nonrenewable resource
      1. home childcare
  2. Flow vs stock.
    Classify each as a flow or a stock:
    • annual CO₂ emissions
    • atmospheric CO₂ concentration
    • timber harvest
    • forest biomass
  3. Policy critique (short essay).
    Choose a real policy debate framed around “growth.”
    Explain what GDP captures, what it misses, and how an Earth–economy lens would reframe the question.

Chapter roadmap

  • Next, we survey “beyond GDP” approaches.
  • You will see dashboards, well-being indices, and sustainability metrics.
  • Then we build toward inclusive wealth as a unifying framework for the Earth–economy.