LatticeKrig: Multiresolution Kriging Based on Markov Random Fields

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Methods 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 and this package makes of the R spam package for this. An extension of this version over previous ones ( < 5.4 ) is the support for different geometries besides a rectangular domain. The Markov random field approach combined with a basis function representation makes the implementation of different geometries simple where only a few specific functions need to be added with most of the computation and evaluation done by generic routines that have been tuned to be efficient. 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 and also the case when the observations are a linear combination (e.g. an integral) of the spatial process. Included are generic methods for prediction, standard errors for prediction, plotting of the estimated surface and conditional and unconditional simulation.

Author
Douglas Nychka [aut, cre], Dorit Hammerling [aut], Stephan Sain [aut], Nathan Lenssen [aut]
Date of publication
2016-05-22 09:20:48
Maintainer
Douglas Nychka <nychka@ucar.edu>
License
GPL (>= 2)
Version
5.5
URLs

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Man pages

gridList-class
Class '"gridList"'. A description of a regular and...
LatticeKrig
User-friendly spatial prediction and inference using a...
LKDist
Find all pairwise distances within a maximum distance.
LKGeometry
Tailoring the LatticeKrig model to a specific geometry.
LKinfoCheck
Check the LKinfo object
LKrig
Spatial prediction and inference using a compactly supported...
LKrig.basis
Functions for generating a multiresolution, compactly...
LKrigDefaultFixedFunction
Creates fixed part of spatial model.
LKrigDistance-methods
Distance function methods for 'LKrigDistance' in Package...
LKrigInternal
Internal functions for LatticeKrig package.
LKrigLatticeCenters
Methods to report the locations or scales associated with the...
LKrigMiscellaneous
Miscellaneous internal functions for LatticeKrig package.
LKrig.MLE
Simple function to search over covariance parameters for...
LKrigNormalizeBasis
Methods and functions to support normalizing to marginal...
LKrigSAR
Method that creates the spatial autoregressive (SAR) matrix.
LKrigSetup
Create or update the LatticeKrig model object (LKinfo) for...
LKrigSetupAlpha
Creates the alpha parameter list in LatticeKrig covariance.
LKrigSetupAwght
Method to create a.wght component from the 'LKinfo' object.
LKrigSetupLattice
Creates the lattice information for a specific geometry.
LKrig.sim
Functions for simulating a multiresolution process following...
PeriodicGeometry
Geometries to approximate a cross section of 2-d and 3-d...
Radial.Basis
Two dimensional radial and tensor basis functions based on a...
setDefaultsLKinfo
Method for including default information in the LKinfo...

Files in this package

LatticeKrig
LatticeKrig/inst
LatticeKrig/inst/CITATION
LatticeKrig/tests
LatticeKrig/tests/LKrig.se.test.R
LatticeKrig/tests/LKrig.se.test.Rout.save
LatticeKrig/tests/LKrig.LKCylinder.test.inverse.Rout.save
LatticeKrig/tests/LKrigMarginalVariance.test.R
LatticeKrig/tests/LKrigMarginalVariance.test.Rout.save
LatticeKrig/tests/LKrig.test.3D.Rout.save
LatticeKrig/tests/LKrig.nullspace.test.Rout.save
LatticeKrig/tests/LKrig.test.inverse.Rout.save
LatticeKrig/tests/LKrig.basis.test.R
LatticeKrig/tests/LKrig.precision.test.Rout.save
LatticeKrig/tests/LKrig.basis.test.Rout.save
LatticeKrig/tests/LKrig.LKCylinder.test.Rout.save
LatticeKrig/tests/LKrig.lnPLike.test.R
LatticeKrig/tests/LKrig.LKCylinder.test.R
LatticeKrig/tests/LKrig.test.R
LatticeKrig/tests/LKrig.lnPlike.test.Rout.save
LatticeKrig/tests/LKrig.test.3D.R
LatticeKrig/tests/LKrig.precision.test.R
LatticeKrig/tests/LKrig.test.Rout.save
LatticeKrig/tests/LKrig.test.inverse.R
LatticeKrig/tests/LKrig.FindNorm.test.R
LatticeKrig/tests/LKrig.nullspace.test.R
LatticeKrig/tests/LKrig.FindNorm.test.Rout.save
LatticeKrig/src
LatticeKrig/src/dfind2d.f
LatticeKrig/src/findNorm.f
LatticeKrig/src/dfind1d.f
LatticeKrig/src/LKdist.f
LatticeKrig/src/multBasis.f
LatticeKrig/src/LKdistgrid.f
LatticeKrig/NAMESPACE
LatticeKrig/R
LatticeKrig/R/LKrig.sim.R
LatticeKrig/R/print.LKrig.R
LatticeKrig/R/LKinfoCheck.R
LatticeKrig/R/LKDistGridComponents.R
LatticeKrig/R/predictSurface.LKrig.R
LatticeKrig/R/LKrigSetup.R
LatticeKrig/R/LKDistComponents.R
LatticeKrig/R/predictSE.LKrig.R
LatticeKrig/R/GridList.R
LatticeKrig/R/LKrigMarginalVariance.R
LatticeKrig/R/triWeight.R
LatticeKrig/R/LKrig.misc.R
LatticeKrig/R/LKrig.precision.R
LatticeKrig/R/LKrigLatticeCenters.R
LatticeKrig/R/LKrigCovWeightedObs.R
LatticeKrig/R/LKrig.coef.R
LatticeKrig/R/LKrigSetupAlpha.R
LatticeKrig/R/LKrigLatticeScales.R
LatticeKrig/R/LKrig.make.par.grid.R
LatticeKrig/R/LKrigFindLambda.R
LatticeKrig/R/directionCosines.R
LatticeKrig/R/Tensor.basis.R
LatticeKrig/R/LKrigSAR.R
LatticeKrig/R/LKrig.cov.plot.R
LatticeKrig/R/LKDist.R
LatticeKrig/R/LKrig.MLE.R
LatticeKrig/R/LKGridFindNmax.R
LatticeKrig/R/Radial.basis.R
LatticeKrig/R/LKrigNormalizeBasis.R
LatticeKrig/R/LKrigUnrollGrid.R
LatticeKrig/R/LKGridCheck.R
LatticeKrig/R/ModelBox.R
LatticeKrig/R/surface.LKrig.R
LatticeKrig/R/LKrig.basis.R
LatticeKrig/R/predict.LKrig.R
LatticeKrig/R/LKrig.quadraticform.R
LatticeKrig/R/ModelRing.R
LatticeKrig/R/LKrig.cov.R
LatticeKrig/R/LKinfoUpdate.R
LatticeKrig/R/setDefaultsLKinfo.R
LatticeKrig/R/LatticeKrig.R
LatticeKrig/R/LKRectangleFastNormalization.R
LatticeKrig/R/LKrig.lnPlike.R
LatticeKrig/R/ModelInterval.R
LatticeKrig/R/LKDistGrid.R
LatticeKrig/R/print.LKinfo.R
LatticeKrig/R/ModelCylinder.R
LatticeKrig/R/LKrig.traceA.R
LatticeKrig/R/LKrig.sim.conditional.R
LatticeKrig/R/LKrigDistance.R
LatticeKrig/R/predictLKrigFixedFunction.R
LatticeKrig/R/WendlandFunction.R
LatticeKrig/R/LKrigMakewU.R
LatticeKrig/R/ModelRectangle.R
LatticeKrig/R/LKrigSetupLattice.R
LatticeKrig/R/LKrigSetupAwght.R
LatticeKrig/R/LKrigDefaultFixedFunction.R
LatticeKrig/R/LKrig.R
LatticeKrig/R/createLKrigObject.R
LatticeKrig/R/convertIndexPeriodic.R
LatticeKrig/R/LKrig.spind2spam.R
LatticeKrig/R/LKrigMakewX.R
LatticeKrig/R/zzz.R
LatticeKrig/R/LatticeKrigEasyDefaults.R
LatticeKrig/R/print.LatticeKrig.R
LatticeKrig/MD5
LatticeKrig/DESCRIPTION
LatticeKrig/man
LatticeKrig/man/LKrigSetupAwght.Rd
LatticeKrig/man/LKrig.sim.Rd
LatticeKrig/man/LKinfoCheck.Rd
LatticeKrig/man/gridList-class.Rd
LatticeKrig/man/LKDist.Rd
LatticeKrig/man/PeriodicGeometry.Rd
LatticeKrig/man/LKrigInternal.Rd
LatticeKrig/man/LKrigSAR.Rd
LatticeKrig/man/LKrigLatticeCenters.Rd
LatticeKrig/man/LKrigDefaultFixedFunction.Rd
LatticeKrig/man/LKrig.Rd
LatticeKrig/man/LKrigSetupAlpha.Rd
LatticeKrig/man/Radial.Basis.Rd
LatticeKrig/man/LKrig.basis.Rd
LatticeKrig/man/LKrigDistance-methods.Rd
LatticeKrig/man/LKGeometry.Rd
LatticeKrig/man/LKrigSetup.Rd
LatticeKrig/man/LKrigNormalizeBasis.Rd
LatticeKrig/man/setDefaultsLKinfo.Rd
LatticeKrig/man/LKrigSetupLattice.Rd
LatticeKrig/man/LatticeKrig.Rd
LatticeKrig/man/LKrig.MLE.Rd
LatticeKrig/man/LKrigMiscellaneous.Rd