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fields (version 13.3)

Tools for Spatial Data

Description

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 . 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.

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Install

install.packages('fields')

Monthly Downloads

34,917

Version

13.3

License

GPL (>= 2)

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Maintainer

Douglas Nychka

Last Published

October 30th, 2021

Functions in fields (13.3)

fields exported FORTRAN

FORTRAN subroutines used in fields functions
BD

Data frame of the effect of buffer compositions on DNA strand displacement amplification. A 4-d regression data set with with replication. This is a useful test data set for exercising function fitting methods.
The Engines:

Basic linear algebra utilities and other computations supporting the Krig function.
Colorado Monthly Meteorological Data

Monthly surface meterology for Colorado 1895-1997
CO2

Simulated global CO2 observations
Krig.Amatrix

Smoother (or "hat") matrix relating predicted values to the dependent (Y) values.
Krig.null.function

Default function to create fixed matrix part of spatial process model.
CovarianceUpper

Evaluate covariance over upper triangle of distance matrix
Exponential, Matern, Radial Basis

Covariance functions
Krig

Kriging surface estimate
Krig.replicates

Collapse repeated spatial locations into unique locations
US.dat

Outline of coterminous US and states.
Wendland

Wendland family of covariance functions and supporting numerical functions
QTps

Robust and Quantile smoothing using a thin-plate spline
NorthAmericanRainfall

Observed North American summer precipitation from the historical climate network.
KrigFindLambda

Finds profile likelihood and GCV estimates of smoothing parameters for splines and Kriging.
RMprecip

Monthly total precipitation (mm) for August 1997 in the Rocky Mountain Region and some gridded 4km elevation data sets (m).
RCMexample

3-hour precipitation fields from a regional climate model
colorbar.plot

Adds color scale strips to an existing plot.
bplot.xy

Boxplots for conditional distribution
US

Plot of the US with state boundaries
cover.design

Computes Space-Filling "Coverage" designs using Swapping Algorithm
Tps

Thin plate spline regression
compactToMat

Convert Matrix from Compact Vector to Standard Form
fields-stuff

Fields supporting functions
fields

fields - tools for spatial data
WorldBankCO2

Carbon emissions and demographic covariables by country for 1999.
add.image

Adds an image to an existing plot.
fields internal

Fields internal and secondary functions
as.surface

Creates an "surface" object from grid values.
Covariance functions

Exponential family, radial basis functions,cubic spline, compactly supported Wendland family and stationary covariances.
arrow.plot

Adds arrows to a plot
bplot

boxplot
as.image

Creates image from irregular x,y,z
envelopePlot

Add a shaded the region between two functions to an existing plot
flame

Response surface experiment ionizing a reagent
fields testing scripts

Testing fields functions
drape.plot

Perspective plot draped with colors in the facets.
image2lz

Some simple functions for subsetting images
fields.grid

Using MKrig for predicting on a grid.
imagePlot

Draws an image plot with a legend strip for the color scale based on either a regular grid or a grid of quadrilaterals.
fields.hints

fields - graphics hints
image.cov

Exponential, Matern and general covariance functions for 2-d gridded locations.
grid list

Some simple functions for working with gridded data and the grid format (grid.list) used in fields.
interp.surface

Fast bilinear interpolator from a grid.
image.smooth

Kernel smoother for irregular 2-d data
image.plot

Draws an image plot with a legend strip for the color scale based on either a regular grid or a grid of quadrilaterals.
predictSurface

Evaluates a fitted function or the prediction error as a surface that is suitable for plotting with the image, persp, or contour functions.
minitri

Mini triathlon results
lennon

Gray image of John Lennon.
predictSE

Standard errors of predictions for Krig spatial process estimate
rdist.earth

Great circle distance matrix or vector
registeringCode

Information objects that register C and FORTRAN functions.
offGridWeights

Weights to predict off grid locations from a rectangular grid using nearest neighbors and Kriging.
ozone2

Daily 8-hour ozone averages for sites in the Midwest
Chicago ozone test data

Data set of ozone measurements at 20 Chicago monitoring stations.
mKrig

"micro Krig" Spatial process estimate of a curve or surface, "kriging" with a known covariance function.
mKrigMLE

Maximizes likelihood for the process marginal variance (sigma) and nugget standard deviation (tau) parameters (e.g. lambda) over a many covariance models or covariance parameter values.
plot.Krig

Diagnostic and summary plots of a Kriging, spatialProcess or spline object.
plot.surface

Plots a surface
rat.diet

Experiment studying an appetite supressant in rats.
spatialProcess

Estimates a spatial process model.
rdist

Euclidean distance matrix or vector
sim.spatialProcess

Conditional simulation of a spatial process
supportsArg

Tests if function supports a given argument
splint

Cubic spline interpolation
summary.ncdf

Summarizes a netCDF file handle
yline

Draw horizontal lines
xline

Draw a vertical line
pushpin

Adds a "push pin" to an existing 3-d plot
print.Krig

Print kriging fit results.
circulantEmbedding

Efficiently Simulates a Stationary 1 and 2D Gaussian random fields
surface.Krig

Plots a surface and contours
sreg

Cubic smoothing spline regression
world

Plot of the world
vgram.matrix

Computes a variogram from an image
qsreg

Quantile or Robust spline regression
stats

Calculate summary statistics
tim.colors

Some useful color tables for images and tools to handle them.
predict.Krig

Evaluation of Krig spatial process estimate.
poly.image

Image plot for cells that are irregular quadrilaterals.
quilt.plot

Useful plots for visualizing irregular spatial data.
vgram

Traditional or robust variogram methods for spatial data
summary.Krig

Summary for Krig or spatialProcess estimated models.
transformx

Linear transformation
stats.bin

Bins data and finds some summary statistics.
spam2lz

Conversion of formats for sparse matrices
smooth.2d

Kernel smoother for irregular 2-d data
ribbon.plot

Adds to an existing plot, a ribbon of color, based on values from a color scale, along a sequence of line segments.
set.panel

Specify a panel of plots