fields - Tools for Spatial Data
For curve, surface and function fitting with an emphasis
on splines, spatial data, geostatistics, and spatial
statistics. The major methods include cubic, and thin plate
splines, Kriging, and compactly supported covariance functions
for large data sets. The splines and Kriging methods are
supported by functions that can determine the smoothing
parameter (nugget and sill variance) and other covariance
function parameters by cross validation and also by restricted
maximum likelihood. For Kriging there is an easy to use
function that also estimates the correlation scale (range
parameter). A major feature is that any covariance function
implemented in R and following a simple format can be used for
spatial prediction. There are also many useful functions for
plotting and working with spatial data as images. This package
also contains an implementation of sparse matrix methods for
large spatial data sets and currently requires the sparse
matrix (spam) package. Use help(fields) to get started and for
an overview. The fields source code is deliberately commented
and provides useful explanations of numerical details as a
companion to the manual pages. The commented source code can be
viewed by expanding the source code version and looking in the
R subdirectory. The reference for fields can be generated by
the citation function in R and has DOI <doi:10.5065/D6W957CT>.
Development of this package was supported in part by the
National Science Foundation Grant 1417857, the National Center
for Atmospheric Research, and Colorado School of Mines. See the
Fields URL for a vignette on using this package and some
background on spatial statistics.