Hubbert linearization

The Hubbert linearization is a way to plot production data to estimate two important parameters of a Hubbert curve, the approximated production rate of a nonrenewable resource following a logistic distribution:

  • the logistic growth rate and
  • the quantity of the resource that will be ultimately recovered.

The linearization technique was introduced by Marion King Hubbert in his 1982 review paper.[1] The Hubbert curve[2] is the first derivative of a logistic function, which has been used for modeling the depletion of crude oil in particular, the depletion of finite mineral resources in general[3] and also population growth patterns.[4]

Example of a Hubbert Linearization on the US Lower-48 crude oil production.
  1. ^ Hubbert, M. King (1982). "Techniques of Prediction as Applied to the Production of Oil and Gas". In Gass, Saul I. (ed.). Oil and Gas Supply Modeling (PDF) (proceedings of a symposium held at the Department of Commerce, Washington, DC, June 18–20, 1980). NBS Special Publication 631. Washington (DC): National Bureau of Standards. pp. 16–141.
  2. ^ Claerbout, Jon; Muir, Francis (2008). "Hubbert math" (PDF). Retrieved 2020-06-08.
  3. ^ Roper, David. "Where Have All the Metals Gone?" (PDF). Archived from the original (PDF) on 2007-09-28.
  4. ^ Roper, David. "Projection of World Population". Archived from the original on 2007-02-18.