I agree with Paul that kriging might be a better option, but if you want to use IDW, the intamap package includes a function for optimizing the power based on cross-validation. In the example for the function interpolate, replace the penultimate line with:
x = interpolate(meuse, meuse.grid, list(mean=TRUE), methodName = "idw")
to see how it works.
Tweaking the power to get a smooth surface is not necessarily the best choice, unless you know how smooth the surface should be.

Cheers,
Jon

Paul Hiemstra wrote:
Hi Erik,

IDW does not include a formal interpretation of the inverse distance power. You could seperate your dataset into a validation and interpolation set and try different idp's and see which one preforms best.

Another option would be to use kriging. Kriging fits the spatial dependence vs distance to the data. In my view this makes kriging, as long as the assumptions are honored, a preferable approach. The automap package provides easy acces to kriging by providing some wrapper code around gstat.

cheers,
Paul

On 08/30/2010 06:31 PM, Mudrak, Erika [EEOBS] wrote:
I used the gstat package to interpolate measurements of eight environmental variables in a square 15.4 m x 15.4 m, and then I used model selection from another package to build models of dependence of plant population locations on those environmental variables. I used the idw() function to interpolate the environmental variables. The model selection procedure defined which of the eight variables helped to explain the patterns seen in my plant populations.

Are there any guidelines for the choice of the inverse distance weighting power (idp)? I had been using idp=2, because it was the default, but for some variables it made the surface look not very smooth. I have tried my models on surfaces with other values of idp, and changing this parameter causes the model selection procedure to arrive at different models.

Does anyone have any advice or guidelines about the choice of the ipd parameter, other than "tweaking" it until the surfaces look smooth?

Thank you,

Erika Mudrak

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