How Soon Will the World Oil Production Peak?: A Hubbert Linearization Analysis

This is a Guest Post By “Political Economist”

In this informal paper, I conduct Hubbert Linearization exercises on the world’s 11 topoil producers as well as the rest of the world. The results are used to project the world oilproduction in the future. The evidence presented in this exercise suggests that the world oil production may peakin 2018 or a few years later.

Hubbert Linearization

Hubbert Linearization (first developed by M. King Hubbert) is a statistical techniqueoften used in the peak oil literature. Hubbert Linearization assumes that oil production rises and falls following a pattern thatcan be described by a logistic function:

Q(t) = URR / [1 + EXP (a(Tpeak-t))]

Q(t) is the cumulative oil production up to year t, URR is the ultimately recoverable oil resources, EXP represents the natural exponential function with the Euler’s number “e” being the base, “a” indicates the intrinsic growth rate of the logistic function, Tpeak is the year of peak oil production, and “t” is the current year.

If one takes the derivative of the above equation with respect to “t”, the above equation can be reduced to: dQ/dt = aQ(1-Q/URR) Replace dQ/dt with P (current annual production) and divide both sides by Q:

P/Q = a – (a/URR) Q

If one uses historical data to conduct a linear regression of P/Q over Q, one can solve the two parameters: “a” and “a/URR”. URR (the ultimately recoverable resources) would be solved accordingly. The peak year could in turn be solved.

If one has historical data, Hubbert Linearization is relatively simple and straightforward. But the method has important limitations. Most importantly, it cannot predict future technical changes that will change the amount of recoverable resources. In many cases, the results of Hubbert Linearization are sensitive to the time period used for regressions. The selection of time period often depends on subjective interpretation of available data.

Nevertheless, Hubbert Linearization does reflect the outcomes of historical interactions of geological, economic, geopolitical, and technical factors as well as their evolving trends. When used carefully in combination with other available information, it can provide useful insights into the future trajectory of world oil production.

The World’s Largest Oil Producers

This paper uses BP’s definition of oil production, which defines “oil” as the sum of crude oil and natural gas liquids. The data are mostly from BP Statistical Review of World Energy, extended to 2013 using EIA’s International Energy Statistics.

By this measure, the world’s eleven largest oil producers in 2013 (ranked by their oil production) were Saudi Arabia, Russia, United States, China, Canada, Iran, Iraq, United Arab Emirates, Kuwait, Mexico, and Venezuela.

In this paper, all oil production statistics are stated in million tons. For a rough conversion, 50 million tons of annual oil production roughly equals 1 million barrels of daily production.

Figure 1
pefig/

Figure 1 shows the oil production of the eleven top producers as well as the rest of the world. From 2005 to 2013, the world’s total oil production increased by 192 million tons. Saudi Arabia’s oil production increased by 19 million tons, the Russian oil production increased by 57 million tons, the US oil production increased by 139 million tons, China’s oil production increased by 28 million tons, Canada’s oil production increased by 52 million tons, Iran’s oil production fell by 40 million tons, Iraq’s oil production increased by 66 million tons, the UAE oil production increased by 19 million tons, Kuwait’s oil production increased by 23 million tons, the Mexican oil production fell by 44 million tons, Venezuela’s oil production fell by 30 million tons, and the entire rest of the world’s oil production fell by 97 million tons.
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Peak Oil and The Blibbit Principle

Podunk was a small town Arkansas. Back about a hundred years ago Podunk had no sewage plant, everyone just used outdoor toilets. But a problem soon developed, Podunk’s water supply became contaminated. That’s when they decided to build a blibbit* in which they would store their crap. This blibbit was built out of wood and placed on a hill in a convenient location, right in the middle of town.

The blibbit was almost circular, about 100 feet in diameter. Poles, similar to utility poles, were placed in the ground about 10 feet apart and boards were nailed to them to form the sides up to about 10 feet high. Then every few days everyone in town would haul their crap to the blibbit and dump it in. After a few years the blibbit was full so they added a few more boards to raise the sides higher.

But then someone noticed that the bottom boards were bulging out and appeared about to rupture. “She’s gonna burst” the person shouted to everyone in town. “Nah, maybe it will hold a bit more” was what most people said.

Then a few years later the blibbit was full again so they nailed a few more boards a little higher up on the poles and continued to dump in their crap. The bottom boards became even more strained and looked like they would pop this time for sure. “She’s gonna burst” a couple of more people started yelling. Naw, that’s what you said five years ago you were wrong. So we should not listen to you.

Then about five years later the blibbit became full again. More boards were added and more crap was dumped in. “She’s gonna blow this time for sure. The blibbit has reached peak crap for sure.” “Listen stupid”, was the reply, “that’s what you said 10 years ago, then again 5 years ago, and you were dead wrong. “And because you were wrong in the past means you have to be wrong now.”

Now here is my question: Because the peak blibbit crap people were wrong in the past, does that mean it is more likely they are wrong now? Or, is it even more likely they are right now because the situation has deteriorated even more since the early days of peak blippit crap predictions?

We are all asked, from time to time, what do we think is going to happen to this or that down the road. No one gets asked that question more than peak oilers. And every peak oiler seems to have a slightly different opinion. I have, in the past, reframed from making predictions as to when crude oil extraction will peak. I did so out of fear that I would be wrong and cornucopians would throw it up to me later. But I have now gone out on a limb and now predict that Crude Oil, or rather C+C will peak no later than 2017. I strongly believe the peak will be in 2016 but it could be a year or two earlier but no later than 2017.

World

In spite of all the hoopla about the US shale boom world C+C has been relatively flat for two years.

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Update: OPEC January MOMR with December Production Data

The OPEC January Monthly Oil Market Report is out with crude only production data through December 2012. Total OPEC crude only was 29,223,000 barrels per day, down 20,000 barrels per day. But that was after November production was revised down by 170,000 bp/d. So December production was down 190,000 bp/d from what they originally reported last month.

OPEC 12

 

Big movers were Iraq and Libya. Iraqi November production was revised down by 132,000 bp/d and their December production was down another 55,000 bp/d meaning they were down 187,000 from what was originally reported last month.

Iraq

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