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Finding Gradient from Contour map

I have a detailed map matrix in R (x,y,z co-ords), and am wishing to
calculate the physical gradient at a number of points on the map wrt
different axes and averaged over a number of distances (i.e. slope in N-S
direction averaged over 10m, 50m, 100m respectively). Is there any
function within R which will allow for this?

Thanks,
Laura

Laura Quinn
Institute of Atmospheric Science
School of Earth and Environment
University of Leeds
Leeds
LS2 9JT

tel: +44 113 343 1596
fax: +44 113 343 6716
mail: laura at env.leeds.ac.uk