Hubbert curve

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

Related Topics:
Geophysicist - M. King Hubbert - Derivative - Logistic function

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An example of a Hubbert curve is:

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:

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

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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.

Related Topics:
Probability density function - Normal distribution - Petroleum - Hubbert peak

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For more information on petroleum exhaustion, see the Hubbert Peak Theory article.

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