Basic Math on Our Energy Future
This year there have been great exultation from the pro-business sector about the fact that the shale gas revolution, new Arctic prospecting, and various other schemes mean the “peak oil” debate is over. And in a way I happen to agree. I think that the peak oil debate is less important than the peak humanity debate. There are more than enough fossil fuels in the ground to create a high-carbon atmosphere capable of choking off life as we know it. The logic behind this is very simple and I can flesh it out in a future post.
But in the meantime, it’s time to poke a pin through the new media balloon on the notion of our infinitely expanding energy supply. It’s hard to know where to begin. In response to Jeff Rubin’s recent prediction that high oil prices meant a permanent “end of growth,” the National Post printed a C.D. Howe Institute review arguing Rubin was wrong and that human ingenuity meant we would continue to find more, and cheaper energy supplies forever, even if we did run out of oil in the meantime. The author, a former StatsCan analyst, even labelled Rubin’s pessimism about our energy future as “the end of thought.”
Few of these new anti-Rubinists would go as far as the following commenter on the Post’s website, but “Erwin39″ still manages to capture all the rank idiocy in a single nutshell:
Just a few years ago, you would have been considered an idiot if you didn’t believe in “peak oil”… Then it became economical to exploit shale oil (why didn’t the so called experts forsee the exploitation of this obvious resource?) and there hasn’t been any talk of peak oil lately… Any economist who isn’t blinded by politics or ideology knows there is no such thing as peak oil. There never was and there never will be “peak oil” as long as the markets are free.
Which brings us back to the odious William Watson’s recent claim that the only thing that can get in the way of our bright, sunny, prosperous future is government planning. And of course, lest you think I’m just cherry-picking the biggest idiot from the usual collection of idiots that populates the online message boards, here’s Globe & Mail columnist Margarent Wente saying pretty much the same thing:
Far from running out of fossil fuel, we seem to have a new bonanza of it. Human ingenuity keeps finding new and better ways to tap the Earth’s resources. A technological revolution is unlocking vast new reserves of energy around the world, including, some day, from the Arctic Ocean. None of this will be zero-risk or problem-free. There’ll be setbacks, mishaps and, probably, occasional disasters. But there’ll also be a gusher of innovation, wealth and jobs.
I’m very sorry to disappoint Watson, and Cross, and Wente, and “Erwin39,” but humans will very soon face not only peak oil, but peak energy. The reason for this is fairly obvious: there isn’t enough energy available for us to keep growing at our present rate. This is cold, hard mathematics. Very soon now, we will reach a point at which we are unable to find energy sources capable of sustaining further growth. Shortly thereafter, we will be unable to find energy sources capable of sustaining our present energy consumption. Then it’s a long slide downhill towards cultural, maybe even biological, extinction.
The more we grow now, the sooner this crisis will come down the road. The fact that we’ve discovered a new, large source of oil shouldn’t be seen as an excuse to push a few more years of growth at the cost of future generations. It should be an opportunity to breathe a sigh of relief about the coming price shocks, and then back down to the hard work of rationally planning our futures, which we would have had to do anyways.
I alluded to cold, hard math, and I will now demonstrate that fact. First fact: the current annual energy budget of the world is around 500 exajoules. We get to that number by, amongst other things, about 32 billion barrels of oil and about 400 nuclear reactors, along with vast quantities of gas, coal, and new alternative energy sources. For the sake of an easy comparison, I’m just going to use the three numbers, though. Now, unlike Wente, Cross is intelligent enough to recognize that oil is finite and that we will eventually run out of it. So as we go along, not all of the energy actually has to come from barrels of oil or nuclear reactors. Those are just examples I’ve drawn from current use. But for growth to continue, whatever alternative energy source you invent will have to be able to produce the equivalent in energy to barrels of oil and to nuclear reactors. Hence, the inevitable problem.
Second premise: if growth is to continue, it will be at about 2.9% per year. This is a widely cited figure for the average American growth in energy consumption, spread over several centuries. Technically, of course, any number above zero means continuing growth. But I’m going to assume for my purposes here that the enthusiastic pseudo-economists I’ve quoted above all believe that growth is going to continue in the future as it has in the past, and maybe even (as some seem to think) even faster than that.
Interestingly, at 2.9% per year, energy consumption will increase sixteenfold over the course of a century. This means that for our present growth rate to continue, in the year 2112, we will be using 8000 exajoules per year of energy. We will use, in other words, as much energy in a year as we use in 16 years today. In less than a decade, we will use as much energy as we could use in an entire century at current rates. And to get there, we will require about 500 billion barrels of oil per year and over 6000 nuclear reactors.
It’s worth pointing out that it’s not just a matter of using energy at these vastly increased rates in the future. It’s also a matter of finding it. For Wente’s prediction of never-ending oil to come true, we will need to be 16 times as good at finding oil in a century as we are today. That seems pretty unlikely. We will also need to invent 16 new alternative energy sources for each one we’re inventing today, operate 16 uranium mines for every one that is open today, build 16 new hydroelectric dams for every one that is online today, and so on and so forth.
But Wente, Watson, Cross et al. assure me that human ingenuity can solve this problem, and that we will continue to discover new and exciting energy sources which are even better and cheaper than the ones we currently have. So we continue on.
Fast forward again, to the year 2312. Now energy consumption has increased another 16 times — or a total of 256 times current rates. That means 128,000 exajoules per year, drawn from, among other sources, 8 trillion barrels of oil per year and from 96,000 nuclear reactors. In 2312, we will use as much energy in a couple of days as we currently consume in an entire year today. The new shale oil gas reserves that everyone’s excited over today are, in short, less than half of the oil supply we will need in 2312 just to get through a single year of business-as-usual. Basically, every year, we will need to discover, prospect, and exploit something equivalent to two global shale gas reserves every year.
But Wente, Watson, Cross et al. assure me that human ingenuity can solve this problem, and that we will continue to discover new and exciting energy sources which are even better and cheaper than the ones we currently have. So we continue on.
Another century brings us to 2412. Energy consumption will have increased a total of 4000 times, to 2 million exajoules per year. We will be merrily burning our way through 128 trillion barrels of oil per year — equivalent to 20 quadrillion litres, or the equivalent in volume to the Great Lakes, each and every year. Alongside the grand oil bonfire we will have erected 1.5 million nuclear reactors. At this point, solar energy might still be able to keep our energy consumption growing. But we’ll have to pretty much blanket the planet in solar panels — efficient ones, not current ones — in order to do it.
I want to be clear about these numbers. That’s not the total that will have been used to date by that time. That’s the amount we’ll be using every year. That, or its equivalent in some new energy source which doesn’t yet exist.
But Wente, Watson, Cross et al. assure me that human ingenuity can solve this problem, and that we will continue to discover new and exciting energy sources which are even better and cheaper than the ones we currently have. So we continue on to 2512, just 400 years into the future, and our energy consumption is 65,000 times what it is today — 32 million exajoules. The annual energy budget of today, in other words, gets used up in less than an hour. We will be using the equivalent of 2 quadrillion barrels of oil per year, as well as 24 million nuclear reactors.
By this time, if some smart governments invest in the sort of research strategies that Watson cavalierly dismisses, we’ll probably have some revolutionary new power source, like hydrogen fusion, which means we can dispense with the increasingly silly estimates of barrels of oil shortly before we get to the point of claiming that each and every year humanity will burn a reserve of oil equal in size to the entire Pacific Ocean. So we can spare the economics crowd that particular indignity. Of course, they’ll be fresh on their way to a new indignity. I am quite certain that if we ever do manage to invent fusion power, economists will instantly announce that unlike past natural resources, this new power source will pretty much last forever.
But we soon reach a new problem. From 2512, let’s skip forward through 3012, by which time we’re using 32 million yottajoules of energy per year. At this point, we will need to start seriously thinking about building a Dyson sphere, since we’re well past the point at which blanketing the entire planet in 100%-efficient solar panels would be enough to meet our energy needs. Now that’s only 1000 years into the future. It’s quite a while, certainly, but it’s like us looking back to the Middle Ages — a while ago, but not that long ago. Does anyone seriously want to argue that our civilization has less time left than the time we’ve enjoyed since the Normans conquered England?
I could, if you want, assume that the human species is only halfway through its lifespan and run this thought-experiment out another 100,000 years. But in order to do that, you’ll have to explain to me how long it will take us to invent faster-than-light space travel. Because that’s what we’ll need, within the next thousand years, in order to find new power sources.
Tweet


Edstock
“This means that for our present growth rate to continue, in the year 2112, we will be using 8000 exajoules per year of energy.”
With current technology. Only, 100 years from now, we won’t be using 2012 technology. So, that makes any projections ridiculous, sorry. Also, we have no idea what the population will be, 100 years from now. We have opinions and guesses, but nobody, not you, not me, knows. Can you say “Die-off”?
As well, there are surprises waiting. For example, you’ve heard of spintronics. Still a laboratory creature, it offers the potential to replace our electronics with devices that use around 1/100 of the power. Will it co me to pass? Maybe, maybe not, but engineers and scientist will continue their efforts, and we will see.
We will see soon enough how the USN makes out with their Polywell program based on Dr. Bussard’s research. So far, it appears that unlike ITER, the Polywell approach seems to work. Ironically, it’s on a shoe-string budget, unlike ITER.
A suggestion: try viewing James Burke’s series, “Connections”, and “The Day the Universe Changed”.
Rab
People consider the Green party to be “wackos” and the Cons/Libs/NDP to be normal.
But beneath the veneer of supposed differences of who can or can’t hace abortions, carry guns, tough on crime or not, etc. they are basically the same.
They really differ on who gets what slice of the economic pie, but they are all in agreement on how much that pie grows each year.
A real GDP of 2.5% per year means over the next 25 years we will consume as much in resources as has been consumed in all previous history up until today.
Nothing personal. It’s just math.
And yet anybody who brings this up is smeared as being a nutjob.
Great website.
Sixth Estate
I think you may have mistaken the point of my post, Edstock. I’m not saying that we will certainly be using 8000 exajoules of energy a year a century from now, and quite possibly doing so with an increasingly implausible number of barrels of oil or nuclear power stations or hydro dams or whatever. I’m saying that projections which cavalierly dismiss the possibility of an end to energy growth are saying that, even if we hold them to a relatively modest rate of growth, like the historical 2.9%, this very rapidly leads to absurdly high levels of energy expenditure.
Your second point, regarding “surprises,” is irrelevant to that point. If we’re going to hold to the 2.9% growth rate, then we will use 16 times as much energy next century, and then 256 times as much energy the century after that, and then 4000 times as much energy the century after that, and then 65,000 times as much energy the century after that, and so and so forth. Where this energy comes from is a separate question, and it is entirely obvious that this sort of exponential growth cannot be sustained for very long before it is simply impossible to find power sources capable of sustaining them. Ingenuity is not infinite. But a joule is a joule; if growth is going to continue, the energy must come from somewhere.
If we are going to sustain historical rates of growth, then the next major breakthrough probably will be fusion power. If the alternative is continued fossil fuel exploitation, that breakthrough can’t come fast enough in my mind. But it still doesn’t change the underlying math. If we devise a power source which increases our potential energy reserve by three orders of magnitude, then even at modest rates of growth that doesn’t give us very long before we’re right back where we started.
Possibilities such as a great die-off actually prove my point. That would bring about a peak energy situation, which is precisely what I said would happen. There are any number of ways that we could restore equilibrium — war, pandemic disease, mass starvation or death from thirst, rigid Chinese-style population control, forced sterilizations, etc., etc., etc. One likely possibility at this point is that even without active measures there will be a steady decline in population; this is already happening in many developed countries and is simply counterbalanced by immigration, but if the same trend was established in today’s developing countries, then overall there would be a general population decline. A smaller population would, of course, consume less energy than a larger population, assuming a constant rate per capita.
kootcoot
Mr. Stock certainly woke up as a contrarian this morning! Over at the disaffected lib he suggests we’re winning the war in Afghanistan because a sniper made a good shot.
Lenny
Hydro-electric dams are another source of energy and concern. I was around in 1968 when the Keenleyside Dam was finished and all that good farmland was wiped out at least 30,000 acres around Arrow Lakes. And this is so-called clean energy. The same goes for the Peace – lots of good farmland flooded and gone only a fraction left of what it used to be and just as food prices are going up, they want to put in Site C.
Lenny
In response to @edstock “only 100 years from now we won’t be using 2012 technology” – I’m glad you’re so optimistic because 2012 technology as far as energy production goes hasn’t changed a whole lot in the last hundred years. The only thing that has changed is that you can burn it a whole lot faster – instead of going 10 mph you can now go 240mph
chris
Good one, SE.
Welcome to the outer limits of growth.
Derek
The real issue will be tracking down the high-value metals to further this growth, which is something most oil apologists fail to mention ever.
If we continue to rely on car-culture, the hybrids that we will be forced to build in ever greater numbers will chew through twice as many metals as conventional vehicles because they have twice the number of precious metals.
Here’s a good PWC report from last year on the state of the world’s key metals:
http://www.pwc.com/en_GX/gx/mining/pdf/mine-2011-game-has-changed.pdf
Also, the Gaia Foundation’s ‘Opening Pandora’s Box’ is a superb report.
Lubos Motl
I don’t know what will be worse for life on this planet: exhausting all the non-renewable energy resources, or saturating the available solar power.
Certainly the configuration favoured by entropy is a form of planetary heat death, where (high temperature) solar power is absorbed at a low altitude and emitted at a higher altitude (and thus lower temperature).
That, and if there is only a single vertex for which entropy is maximized, in the convex polytope of allowed food webs, then the rest of the species on this planet are truly screwed, because all the energy would have to pass through a single production species to humans.
Sixth Estate
Well, pretty much by definition, both blanketing the Earth in solar panels and exhausting all non-renewable resources, namely fossil fuels, would be equally lethal to humanity.
Fortunately, the economists will save us.
Kartik
You guys dont get the big picture, do you . I would recommend you read peter diamandis’ book “Abundance: The future is better than you think ” . He offers concrete proof as to why this whole gloom and doom isnt what it seems to be, and in fact evolution gave us a tendency to focus only on the bad news and not the long term. The fact is, the global population growth rate is on a permanent decline, even in the poorest of countries like Bangladesh, and once it peaks in about 2080, it will probably start to decline like it already is in the developed world. So i highly doubt that energy consumption is gonna grow much once india, china and africa develop their economies and human resources. Also, if you look at statistics, solar power is on an exponential growth curve. Thats right, not linear , exponential. So while solar capacity may not seem like much now, it will probably account for a HUGE amount of our energy production in the future. Im tired of environmental pessimists like you just hanging on to your own narrow minded beliefs. While i certainly do not endorse being complacent about the oil crisis, sometimes you’ve gotta look at both sides of the picture before formulating an opinion.
Sixth Estate
Kartik,
I’m not exactly sure what you think I’ve missed here. This is straight-up mathematics. Either we hit peak energy, or we experience the future I’m describing here. Where you get the energy from is the question. If you think we can get all that energy, then yes, exponential increase in energy consumption can continue indefinitely.
Kartik
My point is that exponential increase in energy consumption wont last after this century. Economic growth is slow or negligible in the developed nations, and their populations are declining. We will probably see one final spurt in population and energy consumption in asia and africa as their countries make the transition from developing to developed.
Sixth Estate
Well, assuming all that is correct, then we will indeed hit peak energy.