topic Re: What is the kernel function ArcGIS is using to compute Kernel Density? in Spatial Statistics Questions

What is the kernel function ArcGIS is using to compute Kernel Density?

MagnusHeitzler — Tue, 19 Apr 2016 14:28:51 GMT

I am searching for the kernel function the ArcGIS tool "Kernel Density" is using. The ArcGIS help mentions the following: "The kernel function is based on the quadratic kernel function described in Silverman (1986, p. 76, equation 4.5)." I have access to the 1998 print of this book where I can find the equation on the very same page. However, when implementing the kernel, I get rather different results from the Gaussian variant, for example. Can therefore anybody tell me the correct kernel function ArcGIS is using? I think it has to be modified to integrate to 1 or something like that.

I remember this question to be answered in the old ESRI forums and I think that I even have the link to it:

http://forums.esri.com/Thread.asp?c=93&f=995&t=98735

Sadly, the link does not work anymore. (Is there a way to access the old forums?)

Thank you very much in advance.

Re: What is the kernel function ArcGIS is using to compute Kernel Density?

DanPatterson_Retired — Tue, 19 Apr 2016 14:42:46 GMT

Bill Huber reported on this in an alternate place and on his website

Density

and this link contains references to the book and Bill's comments as well

spatial analyst - What type of kernel density function does ArcMap use? - Geographic Information Systems Stack Exchange

and his discussion here, which most likely drew from the original link

arcmap - Interpretation of ArcGIS Kernel Density legend parameters - Geographic Information Systems Stack Exchange

Re: What is the kernel function ArcGIS is using to compute Kernel Density?

DanPatterson_Retired — Sat, 23 Apr 2016 21:32:04 GMT

sharing to Spatial Analyst given the slow spatial stats market