Cubic spline population density functions and subcentre delimitation. The case of Barcelona
The presence of subcentres cannot be captured by an exponential function. Cubic spline functions seem more appropriate to depict the polycentricity pattern of modern urban systems. Using data from Barcelona Metropolitan Region, two possible population subcentre delimitation procedures are discussed. One, taking an estimated derivative equal to zero, the other, a density gradient equal to zero. It is argued that, in using a cubic spline function, a delimitation strategy based on derivatives is more appropriate than one based on gradients because the estimated density can be negative in sections with very low densities and few observations, leading to sudden changes in estimated gradients. It is also argued that using as a criteria for subcentre delimitation a second derivative with value zero allow us to capture a more restricted subcentre area than using as a criteria a first derivative zero. This methodology can also be used for intermediate ring delimitation.
|Date of creation:||May 2002|
|Contact details of provider:|| Postal: Campus Bellaterra. 08193 Bellaterra.|
Phone: 34-93 581 1680
Fax: 34-93 581 2292
Web page: http://www.uab.cat/departament/economia-aplicada/
More information through EDIRC
References listed on IDEAS
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.:
- F Goffette-Nagot & B Schmitt, 1999.
"Agglomeration economies and spatial configurations in rural areas,"
Environment and Planning A,
Pion Ltd, London, vol. 31(7), pages 1239-1257, July.
- GOFFETTE-NAGOT, Florence & SCHMITT, Bertrand, 1997. "Agglomération economies and spatial configuration in rural areas," LATEC - Document de travail - Economie (1991-2003) 1997-16, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
- F Goffette-Nagot & B Schmitt, 1999. "Agglomeration Economies and Spatial Configurations in Rural Areas," Environment and Planning A, , vol. 31(7), pages 1239-1257, July.
- Small Kenneth A. & Song Shunfeng, 1994. "Population and Employment Densities: Structure and Change," Journal of Urban Economics, Elsevier, vol. 36(3), pages 292-313, November.
- Small, Kenneth A. & Song, Shunfeng, 1994. "Population and Employment Densities: Structure and Change," University of California Transportation Center, Working Papers qt6nk5v6b4, University of California Transportation Center.
- Craig, Steven G. & Ng, Pin T., 2001. "Using Quantile Smoothing Splines to Identify Employment Subcenters in a Multicentric Urban Area," Journal of Urban Economics, Elsevier, vol. 49(1), pages 100-120, January.
- Daniel P. McMillen & John F. McDonald, 1998. "Population Density in Suburban Chicago: A Bid-rent Approach," Urban Studies, Urban Studies Journal Limited, vol. 35(7), pages 1119-1130, June.
- Anderson, John E., 1982. "Cubic-spline urban-density functions," Journal of Urban Economics, Elsevier, vol. 12(2), pages 155-167, September.
- Steen, Robert C., 1986. "Nonubiquitous transportation and urban population density gradients," Journal of Urban Economics, Elsevier, vol. 20(1), pages 97-106, July.
- McMillen, Daniel P., 2001. "Nonparametric Employment Subcenter Identification," Journal of Urban Economics, Elsevier, vol. 50(3), pages 448-473, November. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:uab:wprdea:wpdea0209. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Miquel Colobran)
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.