9

I know that there are several types of kernel density functions, such as uniform, cosine, Gaussian, etc. I was just wondering which one the "Kernel Density" functionality in ArcMap 10's Spatial Analyst uses?

11

Silverman quadratic "The kernel function is based on the quadratic kernel function described in Silverman (1986, p. 76, equation 4.5)."

http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#/How_Kernel_Density_works/009z00000011000000/

The reference is to this book:

http://books.google.com/books?id=e-xsrjsL7WkC&printsec=frontcover#v=onepage&q&f=false

on page 76, equation 4.5

0

It seems to me that it uses quartic kernel function as below:

enter image description here

Where f(j) is the density at the center of the cell, h is Search Radius, dij is the distance between the incident point and center of the cell and n is the number of incidents within the search radius.

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