gridList-class

gridListInfo

gridList

This object is mainly designed to work with methods that take a 
	set of locations organized on a grid. The object is a list where
	there are as many components as dimensions and each list component is a vector of values being the grid points in that dimension. It is consistent with the older use of the older <code>grid.list</code> format used in the fields package.
	This form is somewhat redundant because for an equally spaced grid all one needs is the beginning value, spacing and number of points but it makes it simpler to pass the grid information to functions such as image and contour.

classes

Methods for the interpolation of large spatial
datasets. This package uses a basis function approach that
provides a surface fitting method
that can approximate standard spatial data models.
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 sparse
linear algebra.
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 R 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 this package's
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.
See the 'LatticeKrigRPackage' GitHub repository for a vignette of this
package.
Development of this package was supported in part by the National
Science Foundation Grant 1417857 and the National Center for
Atmospheric Research.

Doug Nychka

LatticeKrig

Multi-Resolution Kriging Based on Markov Random Fields

Douglas Nychka

Dorit Hammerling

Stephan Sain

Nathan Lenssen

Colette Smirniotis

Matthew Iverson

Antony Sikorski

gridList-class function

<dl> <dt>gridList</dt>
<dd>A gridList object.</dd></dl>

Arguments

This object is a list where each component is a vector of 
grid points in a particular dimension. For example
<code> grid&lt;- structure(list( x= seq( -1,1,,20), y= seq( 0,1,,15)), class= "gridList"</code>
would create this object for a 2d grid with 20 and 15 points over the 
ranges [-1,1] and [0,1]. 
The component names ( "x" and "y" in this case) are optional.
The function <code>gridListInfo</code> extracts some summary information that is used to support the summary function for this class.

Objects from the Class

<dl>
 <dt>LKrigDistance</dt>
<dd><code>signature(x1 = "matrix", x2 = "gridList", delta = "numeric")</code>: ...</dd>	 
</dl>

Methods

Doug Nychka

Author

Class "gridList". A  description of a regular and 
	multidimensional grid. — gridList-class

<dl>

 <dt>gridList</dt>
<dd>A gridList object.</dd>

</dl>

This object is a list where each component is a vector of 
grid points in a particular dimension. For example
<code> grid&lt;- structure(list( x= seq( -1,1,,20), y= seq( 0,1,,15)), class= "gridList"</code>
would create this object for a 2d grid with 20 and 15 points over the 
ranges [-1,1] and [0,1]. 
The component names ( "x" and "y" in this case) are optional.
The function <code>gridListInfo</code> extracts some summary information that is used to support the summary function for this class.

<dl>
 <dt>LKrigDistance</dt>
<dd><code>signature(x1 = "matrix", x2 = "gridList", delta = "numeric")</code>: ...</dd>

	 
</dl>

gridList-class: Class `"gridList"`. A description of a regular and multidimensional grid.

Description

Usage

Arguments

Objects from the Class

Methods

Author

See Also

Examples