Maths encyclopedia and lessons  
Search

Mathematics Encyclopedia and Lessons

 
     
 

Lessons

Popular
Subjects

algebra
arithmetic
calculus
equations
geometry
differential equations
trigonometry
number theory
probability theory
more
 

References

applied mathematics
mathematical games
mathematicians
more
 
 

Hubbert curve

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 the shape of, but is different from, 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.

01-04-2007 01:18:14
The contents of this article are licensed from Wikipedia.org
under the GNU Free Documentation License. How to see transparent copy