Mathematically, the first derivative of oil growth is still postive before we hit peak, but the second derivative (rate of increase) has already turned negative-production is increasing but at a decreasing rate - this is being outweighed by higher demand hence prices have gone up 500%+ in last 6 years. The asymptotic rise in oil prices will come when first derivative of world production goes negative (peak oil).
Interesting. Good work. But what I want to know is: About when will the function become discontinuous?

Calculus cannot help there, and even catastrophe and complexity math do not help much to make real-world forecasts.

As an economist, I find it fascinating to see the demand for "prophets" to increase--people who write newsletters, astrologers, consultants, and authors of the "Left Behind" series of apocalyptic Christian novels.

Arrghhhh,
Aye, that website is more fun than TOD. Thanks, we should all go there more often.

And the Wittengenstein reference has wheels within wheels to us philosophy afficianodos--about 3 levels of puns.

McDonald O'Sailorman:
I'll eat when I'm hungry,
I'll drink when I'm dry,
An the poteen don't get me,
I'll live till I die.

Did you know that (along with some help from the Arabs) the Irish saved civilization while Europe stank into its Dark Age?