As my previous questions have indicated, I am working on an air
quality problem where I have a dataset of industrial emissions
that consists of a location (long, lat), and an annual volume of
emissions in pounds or tonnes. The end result that I am looking
for is a 'dispersion raster' that will provide an aggregate
value of emission dispersion (see below) based on overlapping
11KM buffers, where the dispersion value of each buffer is
aggregated wherever the buffers (2, up to 57!) overlap. I am
trying to understand how I can model the dispersion of
emissions, from the emissions source, through a simple linear
decay model where the dispersion at a point (away from the
emissions source) is ((1-d)/(11000m)) (from Hystad 2011 -
"Environmental Health Perspectives") where d = the distance to
the emissions source in meters. I envision creating a buffer
around each emissions point (and have done so, see below) but do
not know how to apply the above formula to the buffer. Once the
buffer has that formula, thus providing