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fields (version 16.3)

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.packages('fields')

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54,412

Version

16.3

License

GPL (>= 2)

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Last Published

September 30th, 2024

Functions in fields (16.3)

Exponential, Matern, Radial Basis

Covariance functions
fields exported FORTRAN

FORTRAN subroutines used in fields functions
NorthAmericanRainfall

Observed North American summer precipitation from the historical climate network.
Colorado Monthly Meteorological Data

Monthly surface meterology for Colorado 1895-1997
QTps

Robust and Quantile smoothing using a thin-plate spline
CO2

Simulated global CO2 observations
bplot.xy

Boxplots for conditional distribution
Krig.Amatrix

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

Collapse repeated spatial locations into unique locations
colorbar.plot

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

Outline of coterminous US and states.
Krig

Kriging surface estimate
fields testing scripts

Testing fields functions
flame

Response surface experiment ionizing a reagent
Wendland

Wendland family of covariance functions and supporting numerical functions
CovarianceUpper

Evaluate covariance over upper triangle of distance matrix
Covariance functions

Exponential family, radial basis functions,cubic spline, compactly supported Wendland family, stationary covariances and non-stationary covariances.
RCMexample

3-hour precipitation fields from a regional climate model
compactToMat

Convert Matrix from Compact Vector to Standard Form
KrigFindLambda

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

Fields internal and secondary functions
cover.design

Computes Space-Filling "Coverage" designs using Swapping Algorithm
image.cov

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

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

Basic linear algebra utilities and other computations supporting the Krig function.
fields.grid

Using MKrig for predicting on a grid.
RMprecip

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

Fast bilinear interpolator from a grid.
predict.Krig

Evaluation of Krig spatial process estimate.
plot.surface

Plots a surface
arrow.plot

Adds arrows to a plot
predictSE

Standard errors of predictions for Krig spatial process estimate
predictSurface

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

Image plot for cells that are irregular quadrilaterals.
registeringCode

Information objects that register C and FORTRAN functions.
as.image

Creates image from irregular x,y,z
Krig.null.function

Default function to create fixed matrix part of spatial process model.
WorldBankCO2

Carbon emissions and demographic covariables by country for 1999.
fields.hints

fields - graphics hints
image.smooth

Kernel smoother for irregular 2-d data
add.image

Adds an image to an existing plot.
drape.plot

Perspective plot draped with colors in the facets.
fields-stuff

Fields supporting functions
Tps

Thin plate spline regression
US

Plot of the US with state boundaries
fields

fields - tools for spatial data
print.Krig

Print kriging fit results.
image2lz

Some simple functions for subsetting images
envelopePlot

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

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

Cubic spline interpolation
sreg

Cubic smoothing spline regression
as.surface

Creates an "surface" object from grid values.
qsreg

Quantile or Robust spline regression
spam2lz

Conversion of formats for sparse matrices
lennon

Gray image of John Lennon.
ribbon.plot

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

Estimates a spatial process model.
stats

Calculate summary statistics
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.
minitri

Mini triathlon results
stats.bin

Bins data and finds some summary statistics.
rdist

Euclidean distance matrix or vector
supportsArg

Tests if function supports a given argument
mKrig

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

Plots a surface and contours
bplot

boxplot
ozone2

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

Franke's Glacier Elevation Data
rdist.earth

Great circle distance matrix or vector
circulantEmbedding

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

Diagnostic and summary plots of a Kriging, spatialProcess or spline object.
set.panel

Specify a panel of plots
smooth.2d

Kernel smoother for irregular 2-d data
grid list

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

Unconditional and conditional simulation of a spatial process
offGridWeights

Utilities for fast spatial prediction.
world

Plot of the world
vgram

Traditional or robust variogram methods for spatial data
Chicago ozone test data

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

Draw a vertical line
quilt.plot

Useful plots for visualizing irregular spatial data.
rat.diet

Experiment studying an appetite supressant in rats.
vgram.matrix

Computes a variogram from an image
tim.colors

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

Summarizes a netCDF file handle
yline

Draw horizontal lines
summary.Krig

Summary for Krig or spatialProcess estimated models.
transformx

Linear transformation
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.