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?


2 Answers 2


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


The reference is to this book:


on page 76, equation 4.5


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

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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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