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fields (version 11.6)

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

52,628

Version

11.6

License

GPL (>= 2)

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Maintainer

Douglas Nychka

Last Published

October 9th, 2020

Functions in fields (11.6)

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.
Krig.Amatrix

Smoother (or "hat") matrix relating predicted values to the dependent (Y) values.
CovarianceUpper

Evaluate covariance over upper triangle of distance matrix
Colorado Monthly Meteorological Data

Monthly surface meterology for Colorado 1895-1997
fields exported FORTRAN

FORTRAN subroutines used in fields functions
The Engines:

Basic linear algebra utilities and other computations supporting the Krig function.
Exponential, Matern, Radial Basis

Covariance functions
Krig.null.function

Default function to create fixed matrix part of spatial process model.
CO2

Simulated global CO2 observations
Krig

Kriging surface estimate
NorthAmericanRainfall

Observed North American summer precipitation from the historical climate network.
add.image

Adds an image to an existing plot.
RMprecip

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

Thin plate spline regression
compactToMat

Convert Matrix from Compact Vector to Standard Form
drape.plot

Perspective plot draped with colors in the facets.
colorbar.plot

Adds color scale strips to an existing plot.
US.dat

Outline of coterminous US and states.
US

Plot of the US with state boundaries
cover.design

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

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

Adds arrows to a plot
as.surface

Creates an "surface" object from grid values.
as.image

Creates image from irregular x,y,z
QTps

Robust and Quantile smoothing using a thin-plate spline
Krig.replicates

Collapse repeated spatial locations into unique locations
image.cov

Exponential, Matern and general covariance functions for 2-d gridded locations.
REML.test

Maximum Likelihood estimates for some Matern covariance parameters.
rat.diet

Experiment studying an appetite supressant in rats.
grid list

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

Image plot for irregular spatial data.
ozone2

Daily 8-hour ozone averages for sites in the Midwest
MLESpatialProcess

Estimates key covariance parameters for a spatial process.
plot.Krig

Diagnostic and summary plots of a Kriging, spatialProcess or spline object.
fields internal

Fields internal and secondary functions
Wendland

Wendland family of covariance functions and supporting numerical functions
WorldBankCO2

Carbon emissions and demographic covariables by country for 1999.
set.panel

Specify a panel of plots
sim.spatialProcess

Conditional simulation of a spatial process
envelopePlot

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

boxplot
fields.hints

fields - graphics hints
bplot.xy

Boxplots for conditional distribution
fields

fields - tools for spatial data
interp.surface

Fast bilinear interpolator from a grid.
lennon

Gray image of John Lennon.
image2lz

Some simple functions for subsetting images
fields testing scripts

Testing fields functions
Covariance functions

Exponential family, radial basis functions,cubic spline, compactly supported Wendland family and stationary covariances.
mKrig.MLE

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

Using MKrig for predicting on a grid.
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
Chicago ozone test data

Data set of ozone measurements at 20 Chicago monitoring stations.
predict.Krig

Evaluation of Krig spatial process estimate.
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.
predictSE

Standard errors of predictions for Krig spatial process estimate
registeringCode

Information objects that register C and FORTRAN functions.
splint

Cubic spline interpolation
print.Krig

Print kriging fit results.
world

Plot of the world
sreg

Cubic smoothing spline regression
fields-stuff

Fields supporting functions
xline

Draw a vertical line
yline

Draw horizontal lines
flame

Response surface experiment ionizing a reagent
gcv.Krig

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

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

Kernel smoother for irregular 2-d data
stats

Calculate summary statistics
mKrigMLE

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

Bins data and finds some summary statistics.
mKrig

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

Adds a "push pin" to an existing 3-d plot
qsreg

Quantile or Robust spline regression
poly.image

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

Plots a surface
summary.ncdf

Summarizes a netCDF file handle
summary.Krig

Summary for Krig or spatialProcess estimated models.
circulantEmbedding

Efficiently Simulates a Stationary 1 and 2D Gaussian random fields
supportsArg

Tests if function supports a given argument
surface.Krig

Plots a surface and contours
rdist.earth

Great circle distance matrix or vector
rdist

Euclidean distance matrix or vector
transformx

Linear transformation
smooth.2d

Kernel smoother for irregular 2-d data
tim.colors

Some useful color tables for images and tools to handle them.
spam2lz

Conversion of formats for sparse matrices
vgram

Traditional or robust variogram methods for spatial data
spatialProcess

Estimates a spatial process model.
vgram.matrix

Computes a variogram from an image