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Convergence of the sum of many oil field productions

Discuss research and forecasts regarding hydrocarbon depletion.

Re: Convergence of the sum of many oil field productions

Unread postby JohnDenver » Thu 26 Jan 2006, 23:28:14

$this->bbcode_second_pass_quote('khebab', 'A')greed. The left side is demand driven and subject to political/economical shocks.

But then why do you think it is modeled so nicely with a Gaussian? What's the connection between economic necessities (producers modulating production to prevent gluts/shortages and ensure stable prices) and that smooth Gaussian shape? Is there some kind of Central Limit phenomenon operating on the demand side?
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Re: Convergence of the sum of many oil field productions

Unread postby khebab » Fri 27 Jan 2006, 09:31:54

$this->bbcode_second_pass_quote('JohnDenver', 'B')ut then why do you think it is modeled so nicely with a Gaussian? What's the connection between economic necessities (producers modulating production to prevent gluts/shortages and ensure stable prices) and that smooth Gaussian shape? Is there some kind of Central Limit phenomenon operating on the demand side?

Yes I believe so, oil production is the result of thousands of economic agents taking decisions on a daily basis. Even if a particular behavior on a microscale seems deterministic (my triangle function), the summation of 10,000s of them will lead to a gaussian as long as the Random Variables (RV) modeling their behavior on a macroscale (ex: timing of the oil coming online, oil field's growth rate and depletion rate, etc.) are distributed according to a gaussian. Now, in the real world these RVs are not independent and are dependent on hidden (Markovian) RVs that are representing the economic context (growth, inflation, etc.). These dependencies create a lumpy noise on the gaussian and different segments/straight lines (economic equilibrium) that you were mentioning yesterday.
Last edited by khebab on Fri 27 Jan 2006, 11:14:14, edited 1 time in total.
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Re: Convergence of the sum of many oil field productions

Unread postby backstop » Fri 27 Jan 2006, 10:45:51

Khebab -

while parts of the math here go clear over my head, I'm interested to see the progress being made in the reliability of modelling the global supply curve.

I wonder if you'd consider providing, and updating, a "Current Best Estimate" of the decline rate you forsee, with of course such margin-of-uncertainty as you see fit ?

This would give some practical guidance on this critical issue. Of course if you were to say that there are simply too many unknowns (eg civil wars in major producers) I should quite accept that.

regards,

Backstop
"The best of conservation . . . is written not with a pen but with an axe."
(from "A Sand County Almanac" by Aldo Leopold, 1948.
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