As We Exhaust Our Oil, It Will Get Cheaper But Less Affordable

It was a bet heard around the world. Okay, that’s an exaggeration. It was a bet heard mostly by academics and sustainability buffs. But still, it was a bet … and it was important.

The year was 1980. The players were biologist Paul Ehrlich and business professor Julian Simon. The two had conflicting ideas about where humanity was headed. Ehrlich, the author of the 1968 book The Population Bomb, thought humanity was headed for a Malthusian catastrophe. Simon thought the opposite. Humanity, he argued, was itself The Ultimate Resource. Because humanity’s genius knew no bounds, Simon proclaimed that we could think our way out of any problem.

The debate between Ehrlich and Simon was fundamentally about resource scarcity. What’s interesting, though, is that their actual wager wasn’t about any physical measure of resource reserves. Their wager was about prices.

Simon challenged Ehrlich to bet on the price of raw materials. Pick any ‘non-government controlled’ resource, Simon said, and he’d bet that the price would decrease over time. Ehrlich chose five metals — copper, chromium, nickel, tin, and tungsten. If their inflation-adjusted prices went down by 1990, Ehrlich would lose. If metal prices went up, Ehrlich would win.

Ehrlich lost.

Actually, Ehrlich lost the bet the moment he entered it. Ehrlich was concerned with the physical exhaustion of resources. Had he bet Simon on any physical measure of resource reserves, Ehrlich would have won. (The Earth isn’t making more metal, so we’ve been exhausting our supply since day one.) Instead, Ehrlich fell for a bait and switch. He allowed Simon to frame scarcity in terms of prices. It was a fateful mistake.

The switch from physical scarcity to prices is one of economists’ favorite tricks for dispelling concerns about sustainability. In this post, I’ll show you how to avoid getting hoodwinked. The key is to realize that resources can get cheaper at the same time that they get less affordable. And when it comes to the price of oil, I think this is exactly what’s in store.

Hotelling’s ‘rule’

We can’t talk about the price of non-renewable resources without discussing Hotelling’s rule. Like all ‘rules’ in economics, it’s not an actual rule (i.e law of nature). It’s just a hypothesis. But it’s a hypothesis that dominates how economists think about the price of scarce resources. Hotelling’s ‘rule’ was outlined by Harold Hotelling in a 1931 paper called ‘The Economics of Exhaustible Resources’. In a nutshell, Hotelling argued that the price of a non-renewable resource should grow exponentially with time. Here’s his reasoning.

Imagine two people, Alice and Bob. Both own a stock of 100 barrels of oil. Alice sells her stock today for $50 per barrel, earning $5000. Like a good capitalist, Alice puts the money in the bank and lets it collect interest. Suppose she earns a hefty 10% annual return. After 10 years, her oil money has grown to about $13,000.

Back to Bob. Unlike Alice, Bob sat on his oil stock, waiting for the right time to sell. After 10 years, he’s finally ready. He calls Alice and finds out she’s got $13,000 in the bank from her 100 barrels of oil. Bob does some math and realizes that to match Alice’s earnings, he has to sell his oil for $130 per barrel (almost triple Alice’s price). Not wanting to lose money relative to Alice, that’s the price Bob asks. And damned if he doesn’t get it!

If everyone behaves like Alice and Bob (as rational money maximizers), the price of oil will grow exponentially at the rate of interest. That’s Hotelling’s ‘rule’ (hypothesis). More generally, Hotelling’s ‘rule’ predicts that the price of any non-renewable resource should grow exponentially with time.1

The bait and switch

When it comes to resource exhaustion, Hotelling’s ‘rule’ is the bait — an idea that is simple and plausible. The switch comes when we actually test Hotelling’s ‘rule’. Suppose we find that the price of a non-renewable resource does not grow exponentially. That would seem to falsify Hotelling’s ‘rule’. But that’s not how economists see it. Instead, they argue that since the price is not growing exponentially, the non-renewable resource is in fact not being exhausted.

As Exhibit A for this logic, take the inflation-adjusted price of oil. Figure 1 shows the trend in this price over the last 160 years. Actually, ‘trend’ is the wrong word because … there isn’t one. Yes, oil prices have oscillated dramatically. But there is no sign of a long-term trend. Today, the price of oil is close to $40 — almost exactly its historical average (in ‘2020 $US’).2

Figure 1: The inflation-adjusted price of oil. The blue curve shows the annual price of oil in ‘2020 $US’. The red curve shows monthly data in 2020. Over the last 160 years, the average inflation-adjusted price was $38 per barrel. That’s roughly what oil costs today. [Sources and methods].

Since the inflation-adjusted price of oil has not grown exponentially, it appears that Hotelling’s ‘rule’ is wrong. There’s no shame in that. When tested, most scientific hypotheses turn out to be wrong. But here’s the shameful part. Rather than admit that Hotelling’s ‘rule’ is wrong, some economists claim that this oil-price data shows something completely different. It indicates, they argue, that we’re not exhausting our oil reserves.

It’s a trick that fools many people. Even Paul Ehrlich was hoodwinked. True, Ehrlich wasn’t tricked into thinking that non-renewable resources are not being exhausted. But he was goaded into a bet where resource scarcity was measured using prices. Fortunately, we can learn from Ehrlich’s mistake. As we exhaust non-renewable resources, Hotelling’s ‘rule’ claims that their price should grow exponentially. It’s an idea that is simple, plausible, and false.

The power to consume

If Ehrlich had wagered on a physical measure of resource scarcity, he would have won his bet with Simon. But at least to me, this hindsight is little consolation. Simon and Ehrlich bet on prices for a good reason. Prices dominate our lives. So it’s natural to want to connect prices to resources scarcity.

Having chastised Ehrlich for betting on prices, I’ll now argue that prices do connect to how we harvest resources … just not the way Ehrlich thought. What was missing in the Simon-Ehrlich bet was income. When it comes to consuming a resource, what matters is not the price itself, but how much of the resource we can afford to buy.

Wait, you say. Aren’t ‘price’ and ‘affordability’ two sides of the same coin? If the price of oil drops, doesn’t oil also become more affordable? The answer is yes … in the short term. That’s because over a short period (a few months), your income will probably stay the same. So when the price of oil drops, you can afford to buy more oil.

Over the long term, however, your income changes. And that means prices are not the same thing as affordability. Prices can go up at the same time that resources become more affordable. And prices can go down at the same time that resources become less affordable. What matters is not prices themselves, but how they relate to income.

We can measure affordability by comparing your income to a commodity’s price. I’ll call this ratio ‘purchasing power’:

\displaystyle\text{purchasing power} = \frac{\text{your income}}{\text{commodity price}}

Purchasing power measures your ability to consume a commodity. The larger your purchasing power, the more of the commodity you can consume. What’s important is that purchasing power is affected by both the commodity price and your income. When your income changes, the commodity price on its own says little about affordability.

With purchasing power in hand, let’s return to the price of oil. As Figure 1 showed, there is no clear trend in the inflation-adjusted oil price. But what about the affordability of oil?

To measure affordability, we need to compare the price of oil to someone’s income. Let’s use Americans as our guinea pigs. We’ll compare the price of oil to the average American income (measured by GDP per capita). I call the result ‘US oil purchasing power’. It measures the average American’s ability to purchase oil:

\displaystyle\text{US oil purchasing power} = \frac{\text{US GDP per capita}}{\text{price of oil}}

Figure 2 shows the history of US oil purchasing power. Unlike inflation-adjusted oil prices (which have no clear trend), oil purchasing power trended upwards. Actually, that’s an understatement. From the 1860s to the 1960s, US oil purchasing power grew by a factor of 40. (Note that in Figure 2, the vertical axis uses a log scale, so exponential growth appears as a straight line.)

Figure 2: The oil purchasing power of the average American. I’ve indexed oil purchasing power so that it equals 1 in 1863. Note that the vertical axis uses a log scale, so exponential growth appears as a straight line. [Sources and methods].

What’s interesting, in Figure 2, is that the trend in purchasing power is visible only over long stretches of time. That’s because over the short term, oil prices fluctuate wildly, trumping changes in income. Even over a decade (the length of the Simon-Ehrlich wager), oil-price changes trump income changes. The long-term trend in purchasing power becomes visible only when you look at century-long time scales.

Speaking of century-long trends, let’s look at the big picture in Figure 2. It’s clear that something changed around 1970. In the century prior to 1970, US oil purchasing power grew steadily. But in the half century after 1970, oil purchasing power stagnated. And if the smoothed trend in Figure 2 is any indication, US oil purchasing power is now declining.

What explains this long-term trend in oil purchasing power? It turns out that the answer is simple. Oil purchasing power grows in lock step with oil-and-gas productivity.

Purchasing power and productivity

When oil purchasing power increases, we can afford to consume more oil. But how do we make this happen? How do we make oil more affordable?

To frame the question, think about it this way. When you buy crude oil, your money doesn’t go to the dead dinosaurs who made it. No, your money goes to the (living) humans who harvested the oil. This is a banal but important observation. It means that there are only two ways to make oil more affordable:

  1. Decrease the relative pay of the people who harvest oil
  2. Decrease the number of people needed to harvest the oil

While both options are important, there are limits to the first one. You can lower relative pay only so much before people revolt. Imagine, for instance, trying to halve the pay of every oil worker. I grew up in oil country (Alberta), and I can tell you that this policy wouldn’t fly.

Now imagine the second option — halving the number of people needed to extract a barrel of oil. At first, this seems just as brutal as halving pay. Won’t 50% of oil workers lose their jobs? The answer is yes … but only if oil consumption remains constant. The thing about consumption, however, is that it almost never remains constant in the face of rising productivity. Instead, when productivity grows, consumption also grows. So imagine that as we halve the number of workers needed to produce a barrel of oil, we also double our oil consumption. In this scenario, every oil worker would keep their job. It’s a win for oil workers and a win for society. (It’s a loss for the Earth’s climate… but we’ll ignore that.)

When it comes to making oil more affordable, increasing oil productivity is the path of least resistance. With this in mind, let’s have a look at US oil-and-gas productivity. Figure 3 shows how it’s changed over the last 160 years. I’ve plotted here the energy output per worker in the US oil-and-gas sector. From 1860 to 1970, this output grew by a factor of 50. In other words, 50 times fewer workers were needed to harvest the same amount of oil. That’s a spectacular change.

Figure 3: Energy output per worker in the US oil-and-gas sector. [Sources and methods].

Now things are starting to make sense. Over the last century and a half, oil grew steadily more affordable for Americans (Figure 2). At the same time, US oil-and-gas productivity rose steadily (Figure 3). It doesn’t take a genius to connect the trends. It seems that productivity is the primary driver of affordability.

Figure 4 puts it all together. Here I compare the growth of US oil-and-gas productivity to the growth of US oil purchasing power. I’ve plotted both series on the same scale and indexed them to equal 1 in 1863. As oil-and-gas productivity grows, oil purchasing power increases in lock step. In fact, it’s roughly a one-to-one relation.

Figure 4: The growth of US oil purchasing power and oil-and-gas productivity. [Sources and methods].

The connection between oil purchasing power and oil-and-gas productivity is easy to explain. Let’s break it down. (If you don’t like algebra, skip ahead.)

We’ll start with the price of oil. This price is the (gross) income that oil companies earn per barrel of oil:

\displaystyle\text{price of oil} = \text{income (of oil companies) per barrel of oil}

We’ll assume that this income gets paid to oil-and-gas workers. (We’ll ignore profit.) So the price of oil equals the income per oil-and-gas worker times the number of workers employed per barrel of oil:

\displaystyle\text{price of oil} = (\text{income per worker})  \times (\text{workers per barrel of oil})

Now let’s assume that oil-and-gas workers earn roughly the same income as everyone else. We’ll assume they earn GDP per capita. Replacing income per worker with GDP per capta, we get:

\displaystyle\text{price of oil} \approx (\text{GDP per capita})  \times (\text{workers per barrel of oil})

Now we move GDP per capita to the left side of the equation to get:

\displaystyle \frac{\text{price of oil}}{ \text{GDP per capita}} \approx   \text{workers per barrel of oil}

We’re almost there. We take the inverse of both sides to give:

\displaystyle \frac{ \text{GDP per capita}}{\text{price of oil}} \approx   \text{oil barrels per worker}

And there you have it. The left side of the above equation is oil purchasing power. The right side is oil productivity. Putting it all together, we have:

\displaystyle \text{oil purchasing power} \approx \text{oil productivity}

Now, this equation is not exact for a few reasons. First, oil and gas workers don’t earn exactly GDP per capita. Second, we haven’t accounted for profits that flow to oil company owners. And third, our empirical measure of productivity measures both oil and gas output. But we’ve compared this productivity to the price of oil only.3

Caveats aside, the growth of oil productivity explains most of the growth of oil purchasing power. And this fact brings us back to resource scarcity.

Enter resource scarcity

On the day we drilled the first well, we started to exhaust our supply of oil. A naive prediction would be that from this day forward, oil would become less affordable. That didn’t happen. Instead, oil got more affordable (until recently). Why?

As I’ve just shown (in Figure 4), oil got more affordable because oil productivity increased. And productivity increased despite the fact that we were exhausting our supply of oil. If we look at oil resources in isolation, this fact sounds counter intuitive. But what’s missing is that oil production depends jointly on oil resources and our technology. Better technology makes productivity grow, even as we deplete our energy reserves.

Figure 5 shows an example of this interplay. On the left is the Drake Well — the first productive US oil well. Drilled in 1859, it struck oil at a depth of 70 feet. Today, such a shallow strike is unheard of. Modern wells are often thousands of feet deep. But although the Drake oil was easy to get (by today’s standards), the technology of the day was crude. Most work was done by hand. So productivity was poor

Fast forward to the present. Today, we drill for oil in the most unlikely places — thousands of feet below ground that is itself thousands of feet under water. But while this oil is far more difficult to extract, operations like the Troll A platform (Figure 5, right) are orders of magnitude more productive than the Drake well. That’s because they use far better technology.

Figure 5: Drilling for oil and gas, then and now. On the left is the Drake Well, drilled in 1859. It was the first productive oil well in the US. [Source: AOGHS]. On the right is the Troll A structure (circa 1996), a natural gas platform off the coast of Norway. It’s the tallest structure ever moved by humanity. [Source: datis-inc.com].

Looking at this growth of technology, Julian Simon claimed that it would trump resource scarcity. And in a certain sense, he was right. That’s how it’s worked in the past. But that’s not how it will work forever. The problem comes down to basic thermodynamics. Technology isn’t powered by human ingenuity (as Simon claimed). Technology is powered by energy. Think of technology as a tool for creating a positive feedback loop. It allows us to use energy to harvest energy. We harvest fossil fuels and then feed this fuel into technology that harvests still more fossil fuels. The result is that productivity grows exponentially.

Unfortunately, this feedback only works if we can perpetually feed our technology more energy. That means technology can’t save us from resource exhaustion. The endgame (for oil) happens when there’s no oil left to harvest. At that point, the fact that we have marvellous oil-extracting technology is moot. But the problem starts long before we run out of oil. As we exhaust the easy-to-get reserves, we move on to the harder ones. Yes, our technology improves. But at some point, the oil becomes so hard to find and extract that this difficulty trumps technology. (Think drilling in 2 km of water.) When this turning point happens, oil productivity stops growing and begins to decline.

Looking at Figure 3, we can see that this productivity peak has already happened. In the US, it came in 1970. Since then, US oil-and-gas productivity has plateaued. Of course, it’s possible that we’re just in the midst of lull, and that the exponential growth of oil-and-gas productivity will soon continue. But I’m not betting on it.

The problem is simple — we’ve already passed the peak of conventional oil production. As we exhaust this high-quality oil and move on to poor-quality stuff, I think oil-and-gas productivity will decrease. In response, oil purchasing power will also decline.

Basically, I’m guessing that the correlation shown in Figure 6 will continue to hold. In the past, oil productivity and oil purchasing power grew together. In the future, I predict that they will decline together. How quickly this will happen, however, is anyone’s guess.

Figure 6: US oil purchasing power vs. oil-and-gas productivity. [Sources and methods].

Back to prices

What’s interesting is that even if oil purchasing power does decline as I’ve predicted, this says nothing about prices. Oil prices could explode (as many peak-oil theorists expect). But oil prices could also collapse. It all depends on what income does. Let’s have a look at these opposite scenarios.

Scenario 1: Oil prices explode

In a future marked by oil scarcity, the price of oil explodes. It’s a future that many peak-oil theorists expect. It’s the future that Paul Ehrlich expected (for metals) when he bet Julian Simon. Here’s how it could happen.

Figure 7 shows a model of oil purchasing power in which the price of oil explodes. It’s a bit abstract, so let’s talk through the elements. I’ve plotted hypothetical growth rates for the price of oil and US nominal GDP per capita. A horizontal line indicates constant exponential growth. A positively sloped line indicates that growth is accelerating. In our model, income (nominal GDP per capita) grows at a constant rate. The growth rate of the price of oil, however, accelerates over time.

Figure 7: A model of oil purchasing power in which the price of oil explodes. I assume here that nominal GDP per capita grows constantly at roughly 4% per year (the average US growth rate over the last 160 years). The growth rate of oil prices accelerates with time. The result is that in the future, oil prices explode and oil gets increasingly unaffordable. [Sources and methods].

What’s most important, in Figure 7, are the shaded regions. They tell us whether oil is getting more affordable or less affordable. The red shaded region indicates that oil is getting more affordable. That’s because income (GDP per capita) is growing faster than the price of oil. So oil purchasing power increases. The blue shaded region, in contrast, indicates that oil is getting less affordable. That’s because income grows more slowly than the price of oil. So oil purchasing power decreases.

Although idealized, this model is based in part on real facts. Since 1860, US nominal GDP per capita has grown, on average, by about 4% per year. And I’ve chosen the oil-price dynamics to roughly reproduce the growth (and plateau) of US oil purchasing power shown in Figure 2. That said, this model is meant as a scenario for the future.

Let’s make this future concrete. In it, your income grows year by year. But although you have more money, oil becomes less affordable. That’s because the price of oil grows faster than your income. And so your oil purchasing power declines continuously.

Let’s turn now to the actual price of oil. Assuming our model holds, Figure 8 shows the projected oil price. It’s an explosion worthy of Hotelling’s ‘rule’. By 2100, a barrel of oil will cost more than $10,000.

Figure 8: A future where the price of oil explodes. I predict future oil prices here using the model in Figure 7. [Sources and methods].

I confess that this price explosion is what I expected when, in 2012, I bought oil futures. ‘We’re headed for an oil-scarce future,’ I thought. ‘The price of oil has nowhere to go but up. That’s a chance to make money!’

It was my Paul Ehrlich moment. Soon after I bought oil futures, the price of oil tanked. Luckily, I didn’t have much money in the game, so I had little to lose. Still, the principle irks me. Like Ehrlich, I thought that the price of a depleting resource would go up. I was wrong. And now I know why. If current trends are any indication, the price of oil will never explode (like in Figure 8). Instead, oil will get cheaper.

Scenario 2: Oil prices collapse

Scenario 1 imagines a Hotelling-like explosion of the price of oil. Assuming that oil production declines (as peak-oil theories predict), this price explosion is intuitive. That’s because almost everyone equates affordability with low prices. If a resource gets less affordable, we assume it’s because the price went up. Almost no one thinks of the alternative — that a resource could get less affordable because your income goes down.

We don’t think about this alternative because it involves something that few living people have experienced: the continuous contraction of income. Think about it this way. Most people are used to the annual ritual of asking for a raise. You may not get the raise, but no one (not you, not your boss) is surprised that you asked for one. That’s because for the last two centuries, growing incomes have been the norm. So asking for an annual raise has become a custom.

Now imagine an alternative reality. In it, asking for a raise is unthinkable. Instead, each year you beg your boss not to lower your income. Most years you’re unsuccessful. And so year after year, your income declines. The price of oil declines too, but not enough to offset your losses. And so oil gets cheaper, yet is increasingly unaffordable.

This alternative reality sounds like dystopian fiction. Yet if current trends are any indication, it’s the future we have in store. To see this fact, look at Figure 9. As with Figure 7, Figure 9 plots the growth rates of income (nominal GDP per capita) and the price of oil. The difference, though, is that Figure 9 shows real-world trends. I’ve plotted here the smoothed historical growth rates of US nominal GDP per capita and the price of oil. (Dashed lines extrapolate the recent trend into the future.)

Figure 9: Oil purchasing power in the real world … and projected future. Solid lines represent real-world trends for the growth of US nominal GDP per capita and the nominal price of oil. I’ve smoothed the data to more clearly show the long-term trend. Dashed lines continue the recent trend into the future. [Sources and methods].

Let’s look first at the growth of income (nominal GDP per capita). Other than a brief period in the 1860s, Americans’ average income rose consistently for the last 150 years. We know this because the growth rate of nominal GDP per capita was positive. Note, however, that this growth rate wasn’t constant. From 1860 to 1960, the growth rate of nominal GDP per capita accelerated. But starting in the 1970s, the trend reversed. Today, income growth rates are declining. If the trend continues, Americans are headed for a future in which incomes collapse. Every year, people will ask their boss not to lower their wage. Most years they’ll fail. And so incomes will decline.

With this dreary future in mind, let’s talk oil prices (again looking at Figure 9). Like income, the price of oil did not grow constantly. Instead, its growth tended to accelerate. But until the 1960s, incomes grew faster than the price of oil. So oil got more affordable. That changed during the oil crises of the 1970s. Oil prices exploded, while the growth of income slowed. As a result, oil got less affordable.

Today, the oil-price growth rate is headed south. If the trend continues, the price of oil isn’t going to explode, as many peak-oil theorists expect. It’s going to collapse. Figure 10 shows the prediction. In this future, the price of oil never gets above $120. And by 2100, oil won’t be $10,000 per barrel (as in Scenario 1). Instead, oil will be $5 a barrel.

Figure 10: A future where the price of oil collapses. I predict future oil prices here using the model in Figure 9. [Sources and methods].

At first glance, this future looks rosy. We’re headed for a world filled with cheap oil! (Never mind about climate change.) But in reality, Figure 10 paints a dystopian future. Yes, oil gets cheaper. But it also becomes less affordable. Why? Because incomes collapse faster than the price of oil. Every year, oil is cheaper. But every year you have less money. And so every year, you can afford less oil.

Ehrlich vs. Tverberg

I’ll close by returning to where I started: the Simon-Ehrlich wager. What’s important about this wager is that it conforms to our expectations about prices. Ehrlich bet money on the idea that resource scarcity will cause prices to rise. It’s an idea that most people find intuitive. Simon bet money on an equally intuitive idea — that resource abundance will cause prices to fall.

Looking at the bet, you can see that it’s really about two distinct hypotheses. The first hypothesis is that we’re exhausting our natural resources. The second hypothesis is that prices will rise in response. What’s interesting is that most of the discussion about the Simon-Ehrlich wager conflates the two hypotheses. Because Ehrlich lost the bet, people assume that resource scarcity is not a problem. But that’s faulty logic. What’s also possible (and what all the evidence points towards), is that the price hypothesis is wrong. As we exhaust natural resources, their price does not explode. Instead, it collapses.

Even though Ehrlich lost his bet, his thinking remains widespread. Just look at peak-oil theory. Many peak-oil theorists think that as oil production declines, the price of oil will explode. But not everyone is convinced. The notable exception is the analyst Gail Tverberg. For years, Tverberg has been arguing that we’re headed for lower oil prices. (Here’s a thread of her writing on deflation.) But she doesn’t think prices will fall because of resource abundance. She’s a Malthusian much like Paul Ehrlich. Instead, Tverberg thinks we’re headed for a world where oil is scarce yet cheap.

To many people, such a future makes little sense. But that’s because we can’t imagine a world in which incomes collapse. But Tverberg can. And so I propose a hypothetical bet for the future: Ehrlich vs. Tverberg. Both scientists assume that oil will get more scarce. But in the Ehrlich scenario, oil prices explode. In the Tverberg scenario, oil prices collapse.

I once thought that the Ehrlich scenario was all but guaranteed. But today, my money’s on Tverberg. In the future, oil will be scarce and unaffordable. But I think it will also be cheap.


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Sources and methods

Data for inflation-adjusted oil prices (Figure 1) is from:

In Figure 2, data for the nominal price of oil comes from:

Data for nominal GDP per capita comes from:

  • 1860–1947: Historical Statistics of the United States Millenial Edition, Table Ca12
  • 1947–present: FRED series A939RC0Q052SBEA

Data for oil-and-gas labor productivity (Figure 3) is from:

  • Oil-and-gas employment:
    • 1860–1928: Historical Statistics of the United States, Colonial Times to 1970, Table M5-6.
    • 1929–present: Bureau of Economic Analysis, Table 6.5A–D
  • Oil-and-gas energy production:
    • 1860–1948: Historical Statistics of the United States, Millennial Edition, Table Db155–163
    • 1949–Present: Energy Information Agency, Table 1.2

In Figure 9, I smooth GDP and oil-price growth rates using a LOESS regression.

Notes

  1. The reality is that Hotelling’s ‘rule’ says nothing about non-renewable resources. It is a model of private property. Because an owner can always sell their property and collect interest on their cash, a rational owner will not sell their property only if its future value increases at the rate of interest (or more). What Hotelling’s ‘rule’ really predicts is that the (nominal) price of all property should grow exponentially. Over the last century, it has. But this fact tells us nothing about the nature of non-renewable resources.
  2. You’ll notice that I use scare quotes around units of real currency — ‘2020 $US’. That’s because these units don’t exist. There are 2020 prices. But projecting these prices backwards in time creates many ambiguities that economists typically don’t acknowledge. For a discussion, see Real GDP: The flawed metric at the heart of macroeconomics.
  3. The problem with measuring oil productivity by itself (rather than together with gas) is that oil-and-gas employment are reported together. That’s because gas is often harvested from oil wells. It’s easy to separate the resulting production of energy (oil vs. gas) but difficult (probably, impossible) to separate the labor input.

Further reading

Hotelling, H. (1931). The economics of exhaustible resources. Journal of Political Economy, 39(2), 137–175.

Sabin, P. (2013). The bet: Paul Ehrlich, Julian Simon, and our gamble over Earth’s future. Yale University Press.

26 comments

  1. Very persuasive, but how to account for the fact that income is inextricably linked to oil production (along with other energy sources)?

    If income goes up because energy production goes up and income goes down because energy production goes down, then all we need to look at is per capita energy production to determine prosperity. Income cannot rise faster than per capita energy production rises and it cannot fall faster than per capita energy production falls.

    The long term real price of oil should therefore be constant, fluctuating only due to ‘inertial’ lag between short term variations in energy production and income. Even as oil stops being produced, its price will be $38 per bbl (2020 US dollars).

    Like

    • I’m not sure that nominal income (which is what I’m talking about) is linked to anything physical. But the relation between nominal income and various resource prices is related to physical production.

      And for the record, nominal incomes have risen far faster than energy use per capita. Now, if you define prosperity in terms of energy consumption (which I’m open to doing) that’s another matter. But that’s not how I’m defining income here. I’m doing it in strictly nominal terms.

      Like

      • If indeed there is a direct link between energy production and real GDP/real income, then, as you say, the relation between income and prices (whether nominal or real in my opinion) is related to physical energy production, which is affected only by technology and geology. It should make little difference using nominal incomes and prices vs real incomes and prices as long as the usage is consistent between variables.

        Your main point is the important one: as technology gained ground faster than geological depletion, fossil energy became more and more affordable, as geological depletion overwhelms technological improvements to extraction efficiency, fossil energy becomes less and less affordable.

        My point was only that because of the direct link between available energy and income, real energy prices should tend to be constant (as should the relationship between nominal income and nominal energy prices). This also means that the red and blue areas between the curves in Figure 9 should be roughly equal over the entire period of fossil energy extraction, no matter whether they are expressed in nominal or real terms.

        Liked by 1 person

  2. Could you consider the income growth to just be lagged production growth? After the necessary time to turn a resource into long-lasting infrastructure?

    Like

    • HI Tony,

      Thanks for the question. It depends what you mean by ‘income’. If you mean the consumption of physical resources, then yes. But the lag is very short. We produce oil and consume it within the same year.

      If, however, you mean ‘income’ in monetary terms, then no. Monetary income is a social construct that we invent. It need not relate at all to physical production. That being said, my point in this article is the relation between income and resource prices seems to be tied to physical productivity … and with virtually no lag.

      Not sure if this answers your question.

      Liked by 1 person

  3. Thank you, Blair, great article, much new information.

    It is very difficult for most people to understand that more effort for oil production leads to cheap oil. I myself found the following explanation:
    „Lets assume we have a barter economy with about 100 workers, producing four goods „A, B, C, D“. For each good 25 workers. Money is not invented and all economic exchange is by barter.
    Assume, this economy needs to change caused by external influence, and now for the same amount of good „A“ now 50 people are required. Than means, for the goods B,C,D less worker are available, and less „B,C,D“ are produced. If then the good „A“ is exchanged one of the other goods, its value be smaller and less „B,C,D“ will be received against one unit of „A“. The value of „A“ drops.“
    For a barter economy, it is simple to understand that more energy input for crude oil production must result in a smaller value for the barrel of oil. The same must be valid if money is used to barter.

    One remark: I never heard of the Hotelling hypothesis, and i assume, the second law of thermodynamics is very strange for you. Nobody can know all sciences. But in contrast to the Hotelling hypothesis, the second law is valid and always valid.

    And another remark: In your article, you do not include the steadily increasing, thermodynamically caused, energy required to produce oil. Today, the world economy must put in for oil production nearly the same amount of energy which is contained in one barrel of oil. Because of that, the price decay of the barrel of oil will be much faster than figure 10 shows.

    And a question: May i translate this article in german language and put it on a german peak oil page ?

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    • Hi Berndt,

      Yes, please do translate.

      To your points. Yes, I’m familiar with the second law of thermodynamics. But I’m skeptically that it can tell us much about prices (or really anything about social structure). And yes, I’m familiar with energy return on investment (EROI). When studying energy resources, though, there’s no need to focus on any single metric. I think that EROI and energy sector labor productivity are complementary measures. We should use both.

      I don’t think, however, that there is any relation between EROI and the nominal price of oil. That’s because we can print money at will — it has no connection to the laws of thermodynamics.

      Liked by 1 person

      • I will keep you informed about the translation.

        It is not possible to predict the oil price with thermodynamics, only the coarse direction of price development can be predicted, and that is toward zero in some years. Together with the history of oil prices, both together give a good tool for price direction.

        EROI is not the same as ETP (Energy total production, resulting from thermodynamics). Some different definitions for EROI exist. EROi is often used for the energy the oil producer invests. But this is much less than “social EROI” (definition from Charles Hall), which still is less than ETP.

        Money can be printed at will by central banks, resulting in inflation. But the inflation effect will be visible in the energy intensity diagrams, which display world GDP divided by world primary energy consumption. Last time i inspected them, no effect was visible.

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  4. We have built an economic system that self driven, because it is powered by the surplus energy contained in the fossil fuels it produces.
    Not just energy per se—but the SURPLUS. This is the prime problem that most oil-users and producers. refuse to accept.

    Acknowledgement of the problem would mean staring into the pit of economic oblivion.
    (Rather like Donald Trump accepting his election defeat)

    It was that surplus the paid wages that were higher than subsistence level. That in turn allowed us to buy all the shiny whirry things that were the product of oil itself.

    We have been effectively creating the wages by which we could go on making buying and selling embodied blocks of energy.

    Quantity available isn’t the problem

    Affordability is the problem. We can no longer afford to do that.

    If the end user can’t afford to buy/use oil, then it will stay in the ground. And that seems to be the direction in which we are headed right now.

    It has been a century or more of surplus fossil fuel power that has brought us to where we are right now. But fracked wells do not deliver the surplus we need to survive and thrive.

    Our Industrial/commercial lifestyle needs a return of about 14:1 on oil well investment.

    Conventional wells currently deliver around 20 :1, whereas fracked wells deliver 6 or 8:1 at best..

    So there is nothing economically complicated about it: fracked wells are being subsidised by conventional wells

    Which is why they cannot produce positive returns on any investment. Fracked wells consume more in real terms than they produce. But of course they deliver OIL….which still carries the last-century emotional legacy of liquid gold.

    As long as the black stuff gushes out of holes in the ground, the ghost of Edwin Drake still haunts the drillers…there must be money to be made if only we keep on drilling deep enough

    Investors remain certain that Rockefeller’s billions are there to be remade as long as oil keeps flowing. Their financial genius does not extend to the simple truth:

    Oil in the ground has a price. It does not acquire value until it is converted into something else.

    https://end-of-more.medium.com/we-dont-need-oil-1c58ea432e90

    Like

  5. Here my short synthesis of thinking from various folks who have looked at this issue of the surplus energy from oil and its impact on the price of oil. I hope this contributes to the discussion.

    Oil and other fossil fuels are different than “inert” non-energy providing natural resources, such as iron ore.
    Oil (and other fossil fuels) provide the energy to perform the physical “work” in the economy.
    Oil therefore influences its own value (and demand/supply curve) to the economy by the energy it provides.
    The greater the energy content of the barrel of oil, the more work that can be performed in the non-energy production part of the economy.
    This energy content is the essential human labor LEVER that creates the massive amount disposable income in the global industrial civilization. We can move mountains with a few barrels of oil and a combustion engine.
    The energy content of oil is expended in extraction oil, transport to refinery, refinement into fuels, transport of refined fuels, and finally used in the 1-2 billion combustion engines around the world performing physical “work.” About 1/3 of the energy content is lost as waste heat in the combustion process.
    As the energy content of source oil decreases – the highest energy content oil having been extracted first for the last 100+ years – or the cost to extract and process the oil increases, such as deep sea off shore drilling – the amount of work that can be performed will decrease and disposable income will diminish.
    The value of oil to the economy will therefore diminish.
    The price of oil will therefore decrease.
    This decreasing surplus energy supplied to the non-oil production economy is a massive deflationary force.
    Most “money” is credit created by banks in loans to businesses in anticipation of future growth.
    As the surplus energy content from oil diminishes, so does the physical work in the economy, and therefore growth.
    Less growth means less credit money.
    The energy losses are to some extent mitigated by increasing efficiencies in oil production and in combustion engines. But we are reaching the limits of those improvements.
    Meanwhile, the higher energy content conventional oil reserves are now depleting at 3-6% per year.
    Temporary oil price spikes seem possible, followed by a reduction in oil production and GDP.
    Before COVID, central banks were keeping the oil production system and global economy going by maintaining consumer demand through massive monetary intervention.
    COVID was a shot to the economic gut that we did not need.
    There is debate, but some astute thinkers believe that we will never again exceed global oil production levels of Oct/Nov 2018.

    So I am disagreeing with your comment that money has no connection to thermodynamics. We can print for a while…but in the end, everything is pushed, shaped, constrained, by the energy supply available to the organism or system.

    Your blog is a fresh take on issues.

    Cheers.

    Liked by 2 people

  6. I hadn’t seen your blog before. One of your readers sent me a link in a comment. I found your approach interesting and more sensible than the “Energy Returned on Energy Invested,” approach, which mostly leaves out the contribution of human labor. Clearly, the economy operates better if human energy is becoming more productive.

    I might point out that at least historically, oil and gas production has been so beneficial to the economy that oil and gas companies have been taxed heavily. Thus, the benefit of rising human productivity, in part, gets transferred to the economies as a whole through the taxes oil and gas companies pay. Governments are able to add roads, schools, and other infrastructure that help the economy as a whole.

    On my blog, OurFiniteWorld.com. I have been pointing out that the world economy is a self-organizing system that requires energy (of many different types) to operate. In physics terms, it is a dissipative structure. Oil prices need to be both high enough for producers and low enough for consumers. The problem now is that oil prices are too low for producers.

    Low oil prices are especially a problem in the Middle East, where governments get the majority of their tax revenue from taxing the profits of oil companies. If oil prices are too low, governments can substitute added debt for tax revenue for a while, but soon even this doesn’t work. Tax revenue goes for things like job programs and food subsidies. If these are not available because of low oil prices, we can look for governments to be overturned by unhappy citizens.

    Liked by 1 person

  7. The erosion of purchasing power, the “affordability” of oil, will not be inside a deflationary process, it couldn’t possibly be.

    It will be inflationary. As Oil Prices remain stagnant/stable, domestic (and world) real inflation will eat people’s income, which will keep raising on paper.

    This will also bankrupt Oil companies, which will have soaring expenses compared to returns.

    Like

  8. Our incomes in real terms (adjusted for inflation) will inevitably start to decline when we go beyond peak Net energy.

    Our energy descent = decrease in real incomes.

    Why? Because energy gives us the ability to do work. The less energy we have at our disposal, the less productive we become so the less income we will receive.

    Like

  9. First-time reader here, from a Reddit link. I enjoyed your digression about trading oil futures. It seems like all of us who come around to this way of thinking do so in our own personal way. For me it was after 2008 when everyone screamed about imminent (hyper)inflation thanks to QE. Of course, the promised inflation never arrived so I set out on what would become, and remains, a many years long journey to understand why all the textbooks seem to be wrong.

    One criticism I’ll make about your post: Where you write, “Every year, people will ask their boss not to lower their wage.” Maybe you didn’t intend that to be taken literally since this is simplistic and not realistic. Wages seem to be fairly sticky in the modern economy so what we’ve been witnessing instead is round after round of layoffs with, often fewer, workers being rehired at lower wages to do what remains of the same work.

    The net result might be the same, but I think when one is putting forward heterodox ideas it’s important not to provide an easy ‘gotcha’ for defenders of the orthodoxy. Otherwise ten years from now you get some jackal who says, “See, no one is demanding their employees take a pay cut; clearly so and so is as wrong as Malthus” even as oil prices and wages are at generational lows.

    Like

    • Hi John,

      Good point about wages. Yes, my point was mostly metaphorical. Wage declines usually revolve around a loss of job and rehire at a lower wage.

      Like

  10. Nice article that rekindled two old thoughts. 1. Money isn’t actually real, and since 1971, money’s growth has not constrained by physical laws. Therefore money is not directly comparable to anything that exists in a finite state. 2. Human Labor (brawn or brains) is a growing commodity that exists in a finite world and is therefore subject to the Law of Supply and Demand. Keep on thinking, you’ re doing a great job!

    Like

  11. One more quick thought. We tend to view the world from what I refer to as the kitchen window effect. Whatever we see out of our kitchen windows; represents our individual view of the entire world. American’s however, only represent 4.5% of earth’s human population. Let’s look at just the discussion on the price of labor. A full 80% of the folks on this planet live on $10 or less per day. I’ll argue that asking the boss not to reduce our wages is not metaphorical and will become a very real practice in the not so distant future.

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  12. First time reader, very interesting!

    IMO, affordability basically solves one of the most prominent issues with oil prices, namely the fact that they are NOT correlated at all with global oil production.

    On top of that, your observation that something happened in the 1970’s squares well with Peter Turchin’s data on real wages in the U.S.. See his chart here: http://peterturchin.com/cliodynamica/the-end-of-prosperity/ (what you call GDP per capita, he calls it relative wages).

    There is an area where his data disagree with yours though. You state that “Since 1860, US nominal GDP per capita has grown, on average, by about 4% per year.”

    In “Ages of Discord” Turchin shows with no ambiguity that there was another time in history where wages stopped growing like they have since the 1970’s. See his relative wage chart here (4th chart), reaching as far back as 1790: http://peterturchin.com/cliodynamica/population-immiseration-in-america.

    As can been seen on this chart, relative wages compressed in the U.S. from 1820 to 1920. Incidentally, Gail Tveberg has shown that what brought about the first (local) coal production peak around 1910/1920 was excessively cheap energy prices. By combining that with Turchin’s relative wages you should be able to explore this first historical instance of a peak in energy consumption per capita due to insufficient affordability (and its dire consequences over three decades!).

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    • Hi Jerome,

      Sorry for the slow response. I’ve been in a research dive. Yes, Peter Turchin’s data on wages vs. GDP is fascinating. It shows some of the deepest history of US inequality. I actually think his data is fully consistent with what I’ve written here. On that note, I’ve been meaning to review Ages of Discord. It’s an important book, but there are some flaws. Alas, my to do list keeps growing. Some day the review will happen.

      Like

  13. The price of oil is set in a small time window, typically a year or so, balancing what goes into storage and what goes out of storage.

    We never encountered, so far, a sustained period where the oil flow wasn’t increasing. And this is the case for almost every commodity.

    Since the 1970, the share of oil in global GDP had a lot of variation. A big increase from 1.8% (1970) to 4% (1974), 7.3% in 1980 followed with a slow decrease, and a faster by 1986. The cheapest oil in the last 50 years was in 1998 with 1.1% of GDP. Yup, I don’t look the price, just the flow of GDP that goes into oil. Cheap means available to feed GDP without eating too much share. And today, it is not expensive, 2.7% in 2019.

    Now, what happens when the oil flow supply doesn’t increase? Well, price goes up, and if it’s too high, the oil flow demand goes down. But it never lasted more than a few years, because there was always supply that appeared.

    I don’t really understand what would happen if oil flow supply doesn’t increase for 10 years. I’m pretty sure we can reach $200 easily.

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