Spatial Filtering: Problems Encountered in Implementation


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Boundary Effects

Study-area boundary effects

Boundary Kernels:

The roughness of density estimates increases towards the edges of a study region as the effective size of the filter decreases because of the absence of observations beyond the border. A common method of dealing with this is to increase the size of the window width in the vicinity of the boundary (see Scott, 1992, p. 146).


Presence of Boundaries Within Area

Breaking a smooth -- the decision in the filtering of data to cut off a spatial sequence along a given line and to regard the spatial values as belonging to two distinct data domains (see Tukey, 19 p. 237), and to analyze them accordingly.


Equivalent Smoothing

When the size of the spatial filter is varied to accomplish an equal number of observations.

Can permit the interval width to vary to accomplish "equivalent smoothing." This could be done by finding the interval such that equal sample size is in the filter; (Scott, 1992, p. 146).


Filter Weights

The relative weight given an observation within the filter area. "Boxcar weights" is the term used if equal weights are given all observations within the spatial filter area, (Scott, p.128).


Getting Results

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