LatticeKrig: Multiresolution Kriging Based on Markov Random Fields

Functions for the interpolation of large spatial datasets. This package follows a "fixed rank Kriging" approach using a large number of basis functions and provides spatial estimates that are comparable to standard families of covariance functions. Using a large number of basis functions allows for estimates that can come close to interpolating the observations (a spatial model with a small nugget variance.) Moreover, the covariance model for this method can approximate the Matern covariance family but also allows for a multi-resolution model and supports efficient computation of the profile likelihood for estimating covariance parameters. This is accomplished through compactly supported basis functions and a Markov random field model for the basis coefficients. These features lead to sparse matrices for the computations. An extension of this version over previous ones ( < 5.4 ) is the support for different geometries besides a rectangular domain. One benefit of the LatticeKrig model/approach is the facility to do unconditional and conditional simulation of the field for large numbers of arbitrary points. There is also the flexibility for estimating non-stationary covariances. Included are generic methods for prediction, standard errors for prediction, plotting of the estimated surface and conditional and unconditional simulation.

Version: 5.4-1
Depends: R (≥ 3.0.1), methods, spam, fields (≥ 6.9.1)
Published: 2015-11-05
Author: Douglas Nychka [aut, cre], Dorit Hammerling [aut], Stephan Sain [aut], Nathan Lenssen [aut]
Maintainer: Douglas Nychka <nychka at>
License: GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]
NeedsCompilation: yes
CRAN checks: LatticeKrig results


Reference manual: LatticeKrig.pdf
Package source: LatticeKrig_5.4-1.tar.gz
Windows binaries: r-devel:, r-release:, r-oldrel:
OS X Snow Leopard binaries: r-release: LatticeKrig_3.4.tgz, r-oldrel: LatticeKrig_3.4.tgz
OS X Mavericks binaries: r-release: LatticeKrig_5.4-1.tgz
Old sources: LatticeKrig archive