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Hubbert curve

From Biocrawler, the free encyclopedia.

The Hubbert curve, named after the geophysicist M. King Hubbert, is the derivative of the logistic curve.

An example of a Hubbert curve is:

x = {e^{-t}\over(1+e^{-t})^2}={1\over2+2\cosh t}

Plot of the Hubbert curve

The Hubbert curve closely resembles, but is different from, the shape of the probability density function of the normal distribution. It was originally intended as a model of the rate of petroleum extraction. According to this model, the rate of production of oil is determined by the rate of new oil well discovery; a "Hubbert peak" in the oil extraction rate will thus be followed by a gradual decline of oil production, to nothing.

Note: for detailed discussion of petroleum exhaustion, please see the Hubbert peak article.

Wikipedia (http://en.wikipedia.org/wiki/Main_Page) Hubbert_curve (http://en.wikipedia.org/wiki/Hubbert_curve) version history (http://en.wikipedia.org/w/index.php?title=Hubbert_curve&action=history) GNU Free Documentation Lizenz (http://en.wikipedia.org/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License) CC-by-sa (http://creativecommons.org/licenses/by-sa/2.5/)

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