IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v81y2011i10p2326-2336.html
   My bibliography  Save this article

A mathematical model of atmospheric retention of man-made CO2 emissions

Author

Listed:
  • Rust, Bert W.

Abstract

Rust and Thijsse have previously shown that changes in global annual average temperature anomalies T(ti) compiled by the Climatic Research Unit vary linearly with atmospheric CO2 concentrations c(ti). The c(ti) can be related to man-made CO2 emissions F(ti) by a linear regression model whose solution vector gives the unknown retention fractions γ(ti) of the F(ti) in the atmosphere. Gaps in the c(ti) record make the system underdetermined, but the constraints 0≤γ(ti)≤1 make estimation tractable. The γ(ti) are estimated by two methods: (1) assuming a finite harmonic expansion for γ(t), and (2) using a constrained least squares algorithm to compute average values of γ(t) on suitably chosen time subintervals. The final result is an estimate of γ(t) with enough accuracy to establish the connection between emissions from fossil fuel use and land use changes and increases in global average annual temperature anomalies.

Suggested Citation

  • Rust, Bert W., 2011. "A mathematical model of atmospheric retention of man-made CO2 emissions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2326-2336.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:10:p:2326-2336
    DOI: 10.1016/j.matcom.2010.12.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475410004209
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2010.12.019?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:81:y:2011:i:10:p:2326-2336. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.