On 17/04/11 02:17, Gregory Ryslik wrote:
Hi Mr. Turner,

You are correct that I am confused a bit by the RCode. Basically, I have 3772 
observations of data and only about 500
    500?  You said 944 previously.  Doesn't really matter, but.
of them correspond to where "people" exist.  For the other observations, I just have the 
covariate values so I thought that this was appropriate.  Thus, where "people exist" is 
my spatial point pattern and everywhere else I just have covariate values.

Thank you for your help and suggestions on how to fit the data. I was able to 
get it to work using the data frame method but I seem to be having difficulty 
getting the image thing to work.

Basically, at the moment, I have two matrices for Z1 and Z2 which is in the 
form of (z, x, y) where z is the value, x is the x-coordinate and y-is the y 
coordinate. Thus the matrix dimension is 3772x3. I've tried converting this to 
an image but they do a index swap so I'm not quite sure what the correct  way 
to do it would be? Hopefully, I would get the fit using the image way and see 
that the fits are consistent.

Thank you again for your help!

To make use of a covariate you ***really*** need to have the values of the covariate available at ***all*** points of the observation window. In your situation I think that
the best that you can do is to interpolate between the actual observations.

You could use, I think, the interp() function from the "akima" package. Here's a toy
demo:

require(akima)
W <- owin(c(73,135),c(18,54))
M <- as.mask(W,dimyx=c(250,500)) # Window is roughly twice as wide as it is high.
set.seed(42)
X <- runifpoint(3772,win=W)
Z <- exp(2*(sin(2*X$x/pi) + sin(2*X$y/pi))) # A made-up covariate.
XYZ <- interp(X$x,X$y,Z,xo=M$xcol,yo=M$yrow,linear=FALSE,extrap=TRUE)
IZ <- im(t(XYZ$z),xcol=XYZ$x,yrow=XYZ$y) # Note the transpose of the z matrix!
E <- as.im(function(x,y){exp(2*(sin(2*x/pi) + sin(2*y/pi)))},W=W)
plot(listof(exact=E,interp=IZ),nrows=2,main="")

The interpolated image is a bit rough compared with the truth (which we know in this
artificial case) but no worse than what one might reasonably expect.

HTH

        cheers,

            Rolf Turner

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