Dimensions and logarithmic function in economics: A short critical analysis
AbstractWhen dealing with sustainability, we are concerned with the biophysical and the monetary aspects of economic and ecological interactions. This multidimensional approach requires that special attention is paid to dimensional issues. However, many studies in economics, as well as in ecological economics, apply dimensional numbers to exponential or logarithmic functions. We show first that it is an analytical error to put a dimensional number x into exponential functions (ax) and logarithmic functions (log ax). We introduce several examples of this analytical error both in ecological economics and conventional economics. These observations are presented with the hope that they will orient future quantitative analyses toward more constructive ends. Since the empirical and theoretical studies in economics often adopt the logarithmic specification of the production and cost function, we derive a procedure or an algorithm, concerned with the given data set, by which we can examine whether or not a particular logarithmic specification is superior to the usual regression specification in terms of the least square norm.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Ecological Economics.
Volume (Year): 69 (2010)
Issue (Month): 8 (June)
Contact details of provider:
Web page: http://www.elsevier.com/locate/ecolecon
Dimensions Econometrics Logarithmic function Logarithmic specification;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Richmond, Amy K. & Kaufmann, Robert K., 2006. "Is there a turning point in the relationship between income and energy use and/or carbon emissions?," Ecological Economics, Elsevier, vol. 56(2), pages 176-189, February.
- Morse, Stephen, 2006. "Making development simple. The genetic deterministic hypothesis for economic development," Ecological Economics, Elsevier, vol. 56(1), pages 79-88, January.
- Pindyck, Robert S, 1979. "Interfuel Substitution and the Industrial Demand for Energy: An International Comparison," The Review of Economics and Statistics, MIT Press, vol. 61(2), pages 169-79, May.
- Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
- Malghan, Deepak, 2011. "A dimensionally consistent aggregation framework for biophysical metrics," Ecological Economics, Elsevier, vol. 70(5), pages 900-909, March.
- Kozo Mayumi & Mario Giampietro & Jesus Ramos-Martin, 2012. "Reconsideration of Dimensions and Curve Fitting Practice in View of Georgescu-Roegen’s Epistemology in Economics," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 17-35, December.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
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.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.