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Cluster Analysis of Gridded Continuous Fields

To: S-News Mail List <s-news@lists.biostat.wustl.edu>
Subject: Cluster Analysis of Gridded Continuous Fields
From: Kim Elmore <Kim.Elmore@noaa.gov>
Date: Mon, 22 May 2006 22:05:19 -0500
This is more statistical than S-Plus, but this group contains some superb talent, so I'll forge ahead:

I need to analyze collections of gridded fields generated by numerical models of the atmosphere. These collections are run as an ensemble, where the initial conditions for each run vary slightly. Due to sensitive dependence, the individual runs sometimes diverge in groups or sets. There are 50 individual runs per case. The output of each run consists of gridded parameter fields.

I want to apply cluster analysis to these runs to identify those that are "similar" by some measure. I tried this once in the past with gridded fields of the height of the 500 mb surface, but didn't have mush success: while I could identify fields that looked similar, every similarity/dissimilarity metric I could think of, and every method available within S-Plus, failed to generate what I expected to see.

I'm revisiting the issue and have fund little in the literature that addresses this particular problem, though my search has not been nearly exhaustive. None of the texts I have on cluster analysis appear to address this particular problem. It may be that the GIS community has already tackled this problem, but I have no ready access to the GIS literature.

Thus, I am open to suggestions:where should I look next? And if anyone has suggestions about what I should try next, feel free to make them.

Kim Elmore
Univ. of Okla./National Severe Storms Laboratory


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