Distance-Based Methods: Ripleyâ€™s K function vs. K density function
AbstractIn this paper, we propose an analytical and methodological comparison between two of the most known distance-based methods in the evaluation of the geographic concentration of economic activity. These two methods are Ripleyâ€™s K function, a cumulative function popularised by Marcon and Puech (2003) that counts the average number of neighbours of each point within a circle of a given radius, and K density function, a probability density function of point-pair distances introduced by Duranton and Overman (2005), which considers the distribution of distances between pairs of points. To carry out this comparison, we first apply both methodologies to an exhaustive database containing Spanish manufacturing establishments and we evaluate the spatial location patterns obtained from both analysis. After an initial analysis, we realise that although these functions have always been treated as substitutes they should be considered as complementary, as both cumulative function and probability density function provide relevant and necessary information about the distribution of activity in space. Therefore, our next step will be to assess what are the advantages and disadvantages of each methodology from a descriptive and analytical way.
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.
Bibliographic InfoPaper provided by European Regional Science Association in its series ERSA conference papers with number ersa11p737.
Date of creation: Sep 2011
Date of revision:
Contact details of provider:
Postal: Welthandelsplatz 1, 1020 Vienna, Austria
Web page: http://www.ersa.org
This paper has been announced in the following NEP Reports:
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.:
- José M. Albert & Marta R. Casanova & Vicente Orts, 2012. "Spatial location patterns of Spanish manufacturing firms," Papers in Regional Science, Wiley Blackwell, vol. 91(1), pages 107-136, 03.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gunther Maier).
If references are entirely missing, you can add them using this form.