gstat (version 1.0-2)

gstat: Create gstat objects, or subset it

Description

Function that creates gstat objects; objects that hold all the information necessary for univariate or multivariate geostatistical prediction (simple, ordinary or universal (co)kriging), or its conditional or unconditional Gaussian or indicator simulation equivalents. Multivariate gstat object can be subsetted.

Usage

gstat(g, id, formula, locations, data, model = NULL, beta, nmax = Inf,
	nmin = 0, omax = 0, maxdist = Inf, dummy = FALSE, set, fill.all = FALSE, 
	fill.cross = TRUE, variance = "identity", weights = NULL, merge, 
	degree = 0, vdist = FALSE, lambda = 1.0)
## S3 method for class 'gstat':
print(x, ...)

Arguments

g
gstat object to append to; if missing, a new gstat object is created
id
identifier of new variable; if missing, varn is used with n the number for this variable. If a cross variogram is entered, id should be a vector with the two id values , e.g. c("zn", "
formula
formula that defines the dependent variable as a linear model of independent variables; suppose the dependent variable has name z, for ordinary and simple kriging use the formula z~1; for simple kriging also define be
locations
formula with only independent variables that define the spatial data locations (coordinates), e.g. ~x+y; if data has a coordinates method to extract its coordinates this argument can be ignored (see package sp
data
data frame; contains the dependent variable, independent variables, and locations.
model
variogram model for this id; defined by a call to vgm; see argument id to see how cross variograms are entered
beta
for simple kriging (and simulation based on simple kriging): vector with the trend coefficients (including intercept); if no independent variables are defined the model only contains an intercept and this should be the expected value; for cross v
nmax
for local kriging: the number of nearest observations that should be used for a kriging prediction or simulation, where nearest is defined in terms of the space of the spatial locations
nmin
for local kriging: if the number of nearest observations within distance maxdist is less than nmin, a missing value will be generated; see maxdist
omax
maximum number of observations to select per octant (3D) or quadrant (2D); only relevant if maxdist has been defined as well
maxdist
for local kriging: only observations within a distance of maxdist from the prediction location are used for prediction or simulation; if combined with nmax, both criteria apply
dummy
logical; if TRUE, consider this data as a dummy variable (only necessary for unconditional simulation)
set
named list with optional parameters to be passed to gstat (only set commands of gstat are allowed, and not all of them may be relevant; see the manual for gstat stand-alone, URL below )
x
gstat object to print
fill.all
logical; if TRUE, fill all of the direct variogram and, depending on the value of fill.cross also all cross variogram model slots in g with the given variogram model
fill.cross
logical; if TRUE, fill all of the cross variograms, if FALSE fill only all direct variogram model slots in g with the given variogram model (only if fill.all is used)
variance
character; variance function to transform to non-stationary covariances; "identity" does not transform, other options are "mu" (Poisson) and "mu(1-mu)" (binomial)
weights
numeric vector; if present, covariates are present, and variograms are missing weights are passed to OLS prediction routines resulting in WLS; if variograms are given, weights should be 1/variance, where variance specifies location-specific measure
merge
either character vector of length 2, indicating two ids that share a common mean; the more general gstat merging of any two coefficients across variables is obtained when a list is passed, with each element a character vector of length 4, in the fo
degree
order of trend surface in the location, between 0 and 3
vdist
logical; if TRUE, instead of Euclidian distance variogram distance is used for selecting the nmax nearest neighbours, after observations within distance maxdist (Euclidian/geographic) have been pre-selected
lambda
test feature; doesn't do anything (yet)
...
arguments that are passed to the printing of variogram models only

Value

  • an object of class gstat, which inherits from list. Its components are:
  • datalist; each element is a list with the formula, locations, data, nvars, beta, etc., for a variable
  • modellist; each element contains a variogram model; names are those of the elements of data; cross variograms have names of the pairs of data elements, separated by a . (e.g.: var1.var2
  • )
  • setlist; named list, corresponding to set name=value; gstat commands (look up the set command in the gstat manual for a full list)

Details

to print the full contents of the object g returned, use as.list(g) or print.default(g)

References

http://www.gstat.org/ Pebesma, E.J., 2004. Multivariable geostatistics in S: the gstat package. Computers & Geosciences, 30: 683-691.

for kriging with known, varying measurement errors (weights), see e.g. Delhomme, J.P. Kriging in the hydrosciences. Advances in Water Resources, 1(5):251-266, 1978; see also the section Kriging with known measurement errors in the gstat user's manual, http://www.gstat.org/

See Also

predict.gstat, krige

Examples

Run this code
library(sp)
data(meuse)
# let's do some manual fitting of two direct variograms and a cross variogram
g <- gstat(id = "ln.zinc", formula = log(zinc)~1, locations = ~x+y, 
	data = meuse)
g <- gstat(g, id = "ln.lead", formula = log(lead)~1, locations = ~x+y, 
	data = meuse)
# examine variograms and cross variogram:
plot(variogram(g))
# enter direct variograms:
g <- gstat(g, id = "ln.zinc", model = vgm(.55, "Sph", 900, .05))
g <- gstat(g, id = "ln.lead", model = vgm(.55, "Sph", 900, .05))
# enter cross variogram:
g <- gstat(g, id = c("ln.zinc", "ln.lead"), model = vgm(.47, "Sph", 900, .03))
# examine fit:
plot(variogram(g), model = g$model, main = "models fitted by eye")
# see also demo(cokriging) for a more efficient approach
g["ln.zinc"]
g["ln.lead"]
g[c("ln.zinc", "ln.lead")]
g[1]
g[2]

# Inverse distance interpolation with inverse distance power set to .5:
# (kriging variants need a variogram model to be specified)
data(meuse)
data(meuse.grid)
meuse.gstat <- gstat(id = "zinc", formula = zinc ~ 1, locations = ~ x + y,
	data = meuse, nmax = 7, set = list(idp = .5))
meuse.gstat
z <- predict(meuse.gstat, meuse.grid)
library(lattice) # for levelplot
levelplot(zinc.pred~x+y, z, aspect = "iso")
# see demo(cokriging) and demo(examples) for further examples, 
# and the manuals for predict.gstat and image

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