a linear extrapolation of oil consumption by demand growth, production growth, and demand elasticity

[Ed: This is a guest post by Solarfan] One of the most challenging aspects of why we are all here discussing Peak Oil and its ramifications is to try to drive forward while looking in the rear view mirror. It’s very difficult to predict the future, so we attempt to develop tools to hopefully give us a glimpse of that to come. No one tool or method will always give an accurate result, so we have to look for a “consensus” of indicators to help us feel confident about what’s to come. I offer the following as but one of such tools, for examining the future price of oil and all that that entails. This uses a very simple analysis that boils down to linear extrapolation, affected by three main parameters: demand growth, production growth, and demand elasticity. I would not put any credence in anything long term, and even in the short term there is substantial variation possible. Finally, I’ll add my own personal disclaimer – I’m an engineer by training, not an economist. (lots of plots and extrapolations under the fold...)
Looking at the data from EIA, I charted the following:

Demand has increased since 1983 in a very linear fashion, with a growth of 1.08MBD(Million Barrels per Day) per Year. This can be represented in the supply-demand graphs below by a steady shift in the demand curve from left to right as we move forward in time. Also, at any given time the demand for oil is very inflexible; price has little effect on consumption within a certain range around what, at the time, is considered a “normal” price. In my own experience, I can cut out the impulsive run to the hardware store on the weekend, but I still have to get to work every day. This makes the demand “curves” quite steep for any point in time. To try to get a ballpark WAG on what the slope might be, I looked at the data around Katrina, when we had a price spike of close to $10 and a consumption reduction of about 0.87 MBD (Million Barrels per Day), for a slope of about $-11.50/MBD. In this simple, linear model this slope, shown below, is one of three very important parameters in trying to predict future prices, and as I mentioned, $-11.5/MBD is a WAG.

The second important parameter is the rate of demand growth. As we saw in the first graph, demand has grown at 1.08MBD/Year since 1983 (least squares fit). But if we fit the data from 1993 forward,

we get growth of 1.32MBD/Year. And looking at even more recently 2002-2005, we get growth of 1.95MBD/Year. Interesting that growth seems to be accelerating even in the face of the recent steep price increases (think India, China, and everyone else who wants what we have). The third parameter is either the value for peak production, or the rate of increase of production per year if peak is not imminent. Let’s pick my WAG slope of $–11.50/MBD for demand, a middle-of-the-road demand growth of 1.5MBD/Year, assume production can grow at the same rate as 2004-2005, and try to plot the future.

The supply curve (labeled Historical Data), until the late 1990’s, has been pretty flat – producers have been willing to just pump more oil with little or no increase in price, to appease the shift in the demand curve. But if Peak Oil exists, and we are close to or at that point, then supply has an upper limit, so the supply curve starts to go vertical. In the middle-of-the-road example above, the average price of oil is predicted to increase about $12 per barrel per year.

Now, how about playing with the parameters. Some have argued that demand cannot be as inflexible as computed above. Economists put short-term elasticity around 0.2. By my amateur calculations, for $56 per barrel and 84MBD, that equates to a slope of $-3.36/MBD.

Regardless of the more elastic short-term demand, we are looking at $100 per barrel sometime in 2008, if production increases at the current rate. What is not shown or predicted, is how high the price must go before demand GROWTH begins to falter.

Now let’s see what happens if 85MBD really is peak production. We’ll keep the same demand slope, and assume that demand growth will be impacted and reduced to 1MBD (it has to if 85MBD is peak):

If production peaks at 85MBD, we’re looking at $100 oil this year. Even if demand grows by only 0.5MBD per year, we’re looking at $78 this year and $100 next year, again assuming a steady demand growth.

Finally, a look at the Cornucopian view, where the price of oil actually drops to $35 per barrel next year, in the face of 2MBD demand growth per year (Steve Forbes, I believe it was, predicted this late last year):

The world would have to increase production this year to about 92 MBD this year, or an increase of 8MBD. I don’t think anyone anywhere is suggesting that sort of increase.

So, pick your favorite scenario. I think this next year will really start to reveal the true status of Peak Oil.

One request.
Great post, but is there anyway to
make the graphs, so users can click
them and they enlarge?
I can only see the left 3/4 using
Explorer and junk monitor.

I can't imagine how high oil would be right now if we had a cold winter.
If I was your average Joe, that knew nothing about the coming oil problem and saw these graphs I would be horrified.  Even someone saying we will have 70 dollar oil for the next 10 years and peak won't hit till 2015, would be considered a Cornucopian in my mind.

Ahhh.... Much better.  I finally broke down and installed Firefox. I love it already.
Recommended for anyone who can't see all the graphs. (maybe I'm the only one)
I went through and did Stuart's little trick in the html...it should be better. Sorry to make you change browsers... :)
Wait 'till you start using "New Tab"... brilliant.
I also like the LinkChecker and CustomizeGoolgle extensions.  
Firefox is great, graphs or no graphs.

Get the Adblock extension.  The Internet without ads is a beautiful thing.

And get Launchy, for the small number of sites/pages that don't display properly in Firefox.

BBCode is very handy, too.  It allows you to insert links, images, formatting, etc., into HTML and PHP boards very easily.  

Also, at any given time the demand for oil is very inflexible; price has little effect on consumption within a certain range around what, at the time, is considered a "normal" price. In my own experience, I can cut out the impulsive run to the hardware store on the weekend, but I still have to get to work every day.

This isn't a hard constraint. There are lots of easy ways to commute with much less gasoline: ride a scooter, van pool, take the bus, bicycle, telecommute etc. Look at NY during the transit strike. They forced every car coming into Manhattan to carry at least 3 people, and people arranged ways of dealing with it in a day or two. If a similar system were announced nationwide in the U.S., the oil speculators would be trampling each other, running for the exits. There are lot of non-price ways of adjusting elasticity. See Saving Oil in a Hurry from the IEA. So I don't think we can really make the assumption that demand will always be inflexible. How flexible will it be if the government makes carpooling mandatory?

Bingo, JD.

I would add to your comments that any talk of the price elasticity of oil demand has to be extremely specific in terms of three things, two of which are very hard, if not impossible, to model:

The easy one is the size of the price increase.  The demand response will be non-linear with respect to the price change (hence the fact that they're demand curves and not straight lines).  Over a pretty broad range, the larger the increase the ever larger the non-linear demand response.

The timing of the price increase and the demand response.  If price creeps up over several months, people will adjust much more slowly and less in absolute terms than if the same percentage price increase happens in a week.  

Market psychology.  After the hurricanes we had a lot of very spooked drivers in the US.  People were scared that they wouldn't have gasoline to get to work or the food market.  Just as people started to get serious about minimizing their fuel use, prices came back down.

I'd also toss in a reminder that we simply don't know how people will react to truly high prices in the US.  The price level in 1981 and 2005 were, adjusted for inflation, almost identical.  But we still haven't seen what the US consumers will do when faced with months of gasoline prices above $5/gallon.  (That price, in 2006 dollars, is my personal, seat-of-the-pants level for the lower bound of genuinely high gasoline prices.)  IMO, at that price level we're deep into unchartered waters, and we could very well see a level of commitment to conservation rivaling or even surpassing anything the US did in WW II.

Let's see... an average driver goes 12K miles per year, which with 20 miles/gallon realistic fuel consumption is 600 gallons or about $1500 at current prices annualy. How much is this? 4-5% of the average income? In my home country people spend twice the same  share for mass transit only, while owning a car would eat maybe 20%-30% of it. But people are still driving because you know that's what civilisation is all about...

IMO demand reduction in US will not come through high prices but through shortages. All things being equal people will continue driving even with 10$ gallon because there is simply no real alternative. Yes they will drive less but not that less than you think now.

Amazing right Levin?  When I was living in Houston, Tx, I ALWAYS drove MINIMUM 30,000 miles/year as long as I could find the gasoline.  The OPEC 1976 crisis was the only thing that ever slowed that down. Couldn't get it for several days at a time and 4-5 hour wait in line.  If I could fill the tank, I was movin' that Jeep 4WD Pickup and pulling a boat 175 miles 1-way each weekend to the fishin' hole.  Most expensive fish I ever caught.  I think they came in at about $40/lb when I caught fish.  Sometimes that fish price hit infinity.  Now, I live within 1km of the ocean, drive around 12,000 Kilometers each year.  Price of gas got higher, price of fish went down, but now I can work and fish every day.  No complaints here.
Yeap that's what I'm talking about... nothing would change us do what we do unless we get it 2x4 right in the eyes. Luckily it is soon due to come.
With all due respect JD, can you imagine the backlash that would occur in this country if the government MANDATED carpooling. I can think of fewer things that would make the wags at Fox News and radio call in shows go absolutely ballistic than the government telling citizens that they have to "give up the soveriegnty of their sacred SUV." Unfotunately, as much as I think your proposal has a significant degree of merit, I don't think the current way of thinking for Joe and Jackie Sixpack out in the burbs is going to jump for something like that. The problems this country (and the world, for that matter) face regarding the coming (perhaps even it's already started) energy crisis is going to cause a lot of folks significant hardship, but I think the worse things get, the worse will be our response as a society, not to find a better way of living together, but in the pursuit of keeping things just as they are. I believe the term "Business As Usual" is the phrase most appropriate. When the Vice President of the United States declares unconditionally that the American way of life is non-negotitable, I think he's speaking for millions of our fellow citizens who would rather engage in military misadventures and other foolhardy pursuits (tar sands, shale deposits...Is there a snake oil salesman close by?) than face up to the fact that we live in an interdepent planet with finite resources. Sorry to be such a buzzkill, and perhaps I am completely wrong, but past experience is shown this to be the case.
 
Peak oil strikes at the heart of the monetarist ideology currently occupying the "commanding heights" of western civilization.  Talk of finite resources and shortages that require government intervention is an anathema to the current crop of decision makers.  They believe in the panacea of the invisible hand and are in denial.  I think there is a chance to get average people to change their ways but the real problem is getting the powerful to wake up.
But, Dred, what about the bands of eco-terrorists who will roam the suburbs burning the filthy SUVs?

The SUVs must go, and before too long, one way or another. After all, they (and their associated mentality) are the real reason the 'american way of life' is in peril.

If you have an SUV sell it now, before it becomes worthless.

Business as usual will soon not be an option, the planet has said so and is not going to negotiate.


Eco-terrorists will not be needed.  The people who are stuck owning the things will find them to be such albatrosses that they will torch them themselves and try to collect the insurance.  In the end eco-terrorists would get the blame, I suppose.
Bands of Eco terrorists aside (does that include Weyerhauser and Halliburton, by the way) I sold my ridiculously huge pickup truck earlier this year and now use a BMW Dakar (really sweet ride) motorcycle. At 70 MPG, it's much better on gas than the Dodge Ram I had. Fortunately, I live in a place where I can walk to work pretty easily, take the bus to get most of where I need to go when inclement weather strikes, borrow my roomates totally beat Toyota for grocery shopping or other such tasks, and last but not least take a cab if all other options are not available. So I try to walk the talk that I see many folks discuss on this board and elswhere. As far as the SUV madness that this country is currently engaged in (consumer madness, credit madness, war madness,ect) I think things are going to have to get pretty bad for individuals to give up their SUV's. I had read somewhere (was it on this board?) that some folks, not being able to make ends meet driving such gas guzzling hogs, stuck with large payments and the prospect of losing a significant amount of cash on an upside down trade on something more fuel efficient have taken to torching their own vehicles so as to collect on the insurance. These are strictly anecdotal, and I know of no one personally who has done so, it wouldn't surprise me in the least if this is so.
I could be wrong, but I don't think mandatory carpooling changes demand. It artificially changes supply, kind of like an embargo. Price reacts to the supply change, which in turn effects the demand.
JD, with all due respect, let's look at the practical consequences of your proposed mandate. Remember, most places are not Manhattan. Remember too, the transit strike only lasted three days. Let's see:

Sleep on friend's couch to be within walking or biking distance - OK for three day strike, gets old and intolerable really fast.

Bus - slower than molasses even when it deigns to show up. In most places, a ten minute drive becomes an endless ninety minute ordeal. One's time must be utterly worthless (but why, then would one be commuting?), or else gas must exceed maybe $15/gallon.

Scooter - generally incredibly dangerous. Useless in winter.

Bicycle - generally too dangerous. Often useless because banned from U.S. bridges and tunnels. Useless in winter snow and ice. Socially useless in summer, few places have any showers, much less enough showers.

Van pool - very practical in densely populated Manhattan. Elsewhere, endless ordeal like bus.

Telecommute - can be practical, but it's not our decision, it's our boss's decision.

Car pool - OK short term, but bosses will not tolerate the scheduling constraints for long. Only the tiny unionized sector still has any rigid 7:30 to 4:30 jobs.

These alternatives are generally impractical without forceful legislation. That would many businesses, taxpayers, and transit providers very, very unhappy. Employers told to install showers, to allow telecommuting, or to allow European-style uniform working hours (I once witnessed Belgian labor police swarming a small business at 6PM to make sure all the employees were out of the building), will yowl to the heavens. So will shiftless bus agencies asked to become actually useful by doing better than "just show up when you happen to feel like it".

Without making the alternatives practical, just stranding everyone who doesn't have a child or two to plop into the car to meet a police-enforced minimum headcount is not the most workable or equitable long-term plan.

As employers learn that they will not be able to ask people to spend 30-40% of their income on transportation to work, it will no longer be their decision.  They will consider telecommuting or moving the offices and factories out to be near the workers.  The alternative for them will be having nothing to sell.
Or they will close their doors, as the economy tanks due to high energy prices.

They can also move back to the city, where there are lots of eager workers, all in walking distance.

More likely, workers will move closer to the office.  

In most areas, employment is more centrally located than housing.  There is usually no single location that can be described as "near the workers."

I know you guys are doing great work, and your graphs are impressive. But I think that the world is a far more complicated place than all of your analysis can handle. "$100 a barrel oil in 2008?" I'll say its likely to happen in '06 when Iran is attacked by Israel/US. Or for perhaps other disasters that have a reasonable probablilty of occuring.
oh and when you do refer to "dollars", as in $100 per barrel oil in 2008, do you mean Jan 21, 2006 dollars or tomorrows hyperinflated "helicopter Ben dollars"? Or, is it a simple todays linearized dollar based on a 2% inflation rate? Hmmm.... Sorry that the world is so complex.
I did not factor in any inflation adjustments for the future predictions.
            Demand vs. Price Based Projections
                     Fly In the Oil

I'm just an engineer too, so maybe I don't get it.  You international economists may be able to straighten it out.

As long as the US doesn't represent 100% of world consumption, I can't help thinking that the devaluation of the dollar (both historic and projected) must somehow be considered in any scenario involving worldwide price and demand calculations for oil or anything else, but I don't usually see any consideration of that at all.  For example, a high oil price in USD should have no immediate effect at all on China's, Japan's or Europe's consumption of oil, if the values of their curriencies increase accordingly, until (if, unless) their dollar sales of export of goods fall enough to cause readjustment of their oil consumption levels.  It would be interesting to see the analysis based on (assumed) constant (1970?) dollars.

                       Runaway Train

Oil price adjustment through the international economic path  might not be seen for 1 to 2 years, which might result in a very high overshoot in the USD price/BBL, making recovery from all after-effects all that much more difficult.  In fact, would it not be entirely inconceiveable that, with an increasing Yuan <Rupee, Euro, gold, whatever>, China <whomever> may  be able to supplant a significant amount of the present US demand for Japanese exports to such an extent that Japan's loss of a sizeable proportion of the US market might not present too much of a difficulty for them to hurdle ...over time.  

With consistant US double deficits with (apparently) no end in sight, mustn't the $/BBL price convention be fading before our very own eyes?  Guess we'll have to wait for 20 March 2006 to see.

In truth, I agree with your pessimism on the dollar. But in the face of what the world is facing, peak in oil, climate change, resource shortages, its hard for me to find a currency that will do much better. Europe has its own problems - Peak Oil at its worst Id be surprised if the European union held together. China? How many billionaires are going to put their currency in a communist led country.. etc etc. Oh Canada? Peak Oil at its worst Canada becomes US-Northern Region in a matter of months. US dollar in bad shape but no great alternatives.
Ya.  Least 'til another one comes along.  Really, I see your point and admit it was a hell-of-a psyco step for me to let the USD go.  As you can tell, I did and haven't looked back yet.  But I can't fault the results so far.  The real shame is you can't eat gold, and I'll probably be saying that unitl it hits 3000/oz.  It is hard to keep relying on that dark matter though.  Sounds like we have to stick around for 2010 to see if its a lasting phenomenon or if economic string theory can take its place <don't search for that one>.  
One of the things that Matt Simmons keeps saying is that the price of oil could go up a lot higher than anyone expects. The price increase of the 70's was a factor of 20 from the low single digits to $40. From a base of $20 a similar move this decade would put oil at $400 by 2010.

As you have stated, the real question is what price is required to cause people to actually use less taking into consideration the additional demand of China and India. My guess is that it is a lot higher than anyone now contemplates and well north of $200 by 2010.

On the bright side, $400 oil would certainly encourage conservation.

It will start to hurt when it becomes a sizeable fraction of a paycheck.  For the vast majority a doubling of the gasoline price is affordable today.  But there is the complication that higher energy prices will have a negative impact on the economy which then feeds back onto the purchasing power of the consumer, which then impacts the economy (this effect saturates otherwise the economy would implode).  So $400 oil may end up being unaffordable for most consumers even if it is tolerable today.  It would be preferable to have conservation without a great depression.
Seriously, you are right. But I think there is such a huge sunk cost in the western way of life that the people in power will go to war before $400 oil, and if we somehow miraculously avoid that, put in policies like carpooling, 4 day workweeks , and other IEA emergency measures.
The price at which Americans will start to change their behavior is obviously not the current price. I would say that you need gasoline to be, at a minimum, $3.50(sustained, long-term, not crisis-driven), before we can even realistically entertain this question.

If you look at demand, for gasoline, or oil, it is still growing as "normal" - even with the steady long-term increases of the last 3.5 years. Sales at GM and Ford are down, but Americans are still buying SUV's. When gasoline spiked to $3.25 this fall Americans reacted, but we cannot tell how much they would have gotten used to the price and reverted to old behavior - because the price went back down.

Until gasoline sustains $3.50 (putting oil at roughly $100-$120) we won't be able to see much. Comparisons to earlier points in history are largely irrelevent, since it is a different world in so many ways.

I encourage those of you who are doing these excellent analysis/graphs of price/supply/demand to stop looking at the daily price of oil, since it contains so much temporary "noise." Try using a 26-week moving average of the Nymex-Futures/WTI Spot price. It provides a nice, smooth line and I believe has a very healthy built-in measurement of the long-term, economy-effecting component of price.

Over the last 3.5 years this price has basically never gone down, except for a couple of two- or three-week periods. It also shows that the rate-of-increase (acceleration) has gone through several phases, and is currently not at a high.

I have mixed feelings about this analysis as it breaks some rules. For example the production graph is not the strict 'supply' curve and a constant elasticity demand curve is somewhat negative exponential, not straight. However the main flaw seems to be the recurring shift to the right of the demand curve. There must be a point at which negative income feedback (eg bankruptcy) prevents this. It means in a rational world there must be a never-to-be-exceeded oil price which is no longer affordable across the majority of industries and consumers even if 85 mbpd output could be sustained for a decade. I have no idea what that is but my WAG is less than $200 a barrel in inflation adjusted dollars.  
You're right about both things - the demand curve(s) are I'm sure not linear in the real world, and at some point the price will force the demand growth to stop, which would slow or stop the shifts to the right over time.  I guess what jumped out at me was how demand growth will have to come to a screeching halt soon if we are at/near peak production, and how unrealistic $35 a barrel looks.
Is there out there a chart of oil prices in Yen or Euros over a 20 year period (Ok, not Euros, but Pounds, say?)  

I'd be interested to know how the dollar being held up artificially by China, Japan and others plays into these price scenarios.

Thanks for any info you have!

hbj: A Google search for "Oil Prices in Yen" yielded the following that has a chart of oil vs yen for 1998-2004. Hope that helps.
http://www.gold-eagle.com/editorials_04/norcini082704.html
Jim
I'm not going to argue against it.
www.oanda.com has a good historic data section where you can get just about any historic daily currency pair conversion value you want to ask it for.  (in 2000 line data returns)

Euro history in pre 1998 years exists as an average of several comprising basket currencies, so you're not out of luck there either.

I've plotted oil price against the Euro and gold since 1998 and it maintains a pretty good, although a little rough, linear relationship, up until about 4 months ago, when gold appears to break away not only from the Euro, but from oil too.  

I hesitate to address the "oil trade in dollars" issue because the financial feedbacks get complex and besides we all have funny ideas about money and finance.  
This much is clear.  When I take dollars from my paycheck to buy gas for my car, I don't need to worry about "foreign exchange risk" because the imported oil is purchased with dollars.  The price I pay for gasoline may fluctuate because of various supply and demand factors (seasonal, hurricanes, Nigeria) but "foreign exchange risk" is not a factor.  
Imagine a world where oil is traded for a basket of currencies reflecting the countries oil exporters buy their manufactured goods from (more Europe and Japan than USA).  When I use my dollar paycheck to buy gas, I now must worry about how much yen and euro my dollars will buy because those curriencies will be needed to import oil.  Suddenly, the dollar-euro and dollar-yen ratios affect how much it costs Joe Sixpack to get to work.  Such a shift would have a dramatic impact on politics and culture as well as economy and finance.  
Even as oil prices rise, the fact that oil continues to be traded in dollars is a major source of stability and benefit to the U.S. economy.
<Sound of a Head poping up>  

But does the present system encourage maintaining the soundness of the dollar or does it encourage devaluation?  As my seeing eye tells me, hyper-$-intrest is coming unless,

1.) a vast quantity of dark matter Does exist
2.) a vast quantity of dark matter will be added to what exists now.

If oil is priced against a basket of currencies, it may cause the USD to stabilize as it becomes apparent that ever-increasing quantities can not be procured at oil's increasing (real worldwide) value, rather than just keep on heating up the Ben Franklin PhotoShop to pay the higher prices in inflated $.  The US just gets to the energy savings scenarios quicker.  <I mean like hey, its never going to happen???>  

The perspective from this side is that actually we don't care how much the oil price is in USD, and technically as long as long as its the same (+/-) in Euros, its no problem until the US stops buying our exports.  If we can replace your market with China-India, bad news for you.  If not, I think oil will go higher in Euros too, but it'll probably be in a lot more gradual over time within a series of shoot ups and slides back down as the dollar inflates each time.  

As for price converted to Euros, we're probably close to $6.00/gal consequently, if we're going more than 100 miles, we simply take the train or fly.  If > 3.X adults are traveling, driving can be cheaper /P, but I'd still rather pay the difference and travel train.  Club car beats driving any day.  I've seen about 2 HMVs (both with those nasty British plates) in the last 6 months, so I call it... encouraging.

Can you guys help out a newbie here? What the heck is a WAG? TIA