Dear Colleagues,
I am in the process of modeling a semivariogram for a host of chemical contaminants that are released into the ocean via a sewage outfall in the near shore ocean. The goal is to create a new design or "optimal" grid for predicting contamination for future surveys. In particular I would like to create a cost efficiency analysis with kriging error on the y-axis and distance between grid points on the x-axis to look at the trade offs (eg. as suggested by McBratney). I am not looking for something complicated, but something rather straightforward. My questions are as follows:

1. Is there a problem with first running a PCA on the chemistry and using the 1st PC scores as a surrogate that will give me a useful semivariogram for this purpose? In other words, rather than modeling individual chemicals would it be better to use scores along the PCA. Am I violating some assumption here in the presence of spatial correlation? 2. Should I include covariates like depth and grain size in the PCA or should I use the residual fit with grain size/depth as covariates. 3. Is there a useful function in Splus for creating the cost-efficiency curve. 4. Can you suggest any useful references.


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