Estimating Spatial Covariance Parameters in Precipitation
Anomalies Using Covariance Tapering

This example illustrates the use of covariance tapering in estimating
the spatial covariance parameters of a large dataset. The motivation
behind this approach and further details can be found in
"Covariance Tapering for Likelihood
Based Estimation in Large Spatial Datasets" by Kaufman, Schervish,
and Nychka (2007).
The data are yearly precipitation anomalies from 1962 at US weather stations.
This means they are standardized with respect to the long run mean and
standard deviation of each station.

The files for the example are contained in
taperexample.zip.
The data file is
anom1962.RData. This contains a matrix
loc of the station locations (latitude and longitude),
and a vector of anomalies
z.
You will need several R packages to run the example:
fields,
spam, maps, and
xtable. These are all available from
CRAN.
The R files assume you will be running them in order.
Each one will store its results in a
.RData file of the same name.
They are:
 likcalc.R  calculate the profile negative log likelihoods
(standard and tapered) over a grid
 maxlik.R  minimize the profile negative log likelihoods,
using the values from likcalc.R to guide ranges for maximization
 infcalc.R  calculate the information matrices and create
confidence intervals
 timing.R  carry out detailed timing of a single function evaluation
You can also make a map of the observations like the one above by using
plotdata.R.
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