corRExpwr {ramps} | R Documentation |
Powered Exponential Spatial Correlation Structure
Description
This function is a constructor for the 'corRExpwr'
class, representing a powered exponential spatial correlation structure. Letting r
denote the range and p
the shape, the correlation between two observations a distance d
apart is \exp(-(d/r)^p)
.
Usage
corRExpwr(value = numeric(0), form = ~ 1,
metric = c("euclidean", "maximum", "manhattan", "haversine"),
radius = 3956)
Arguments
value |
optional numeric vector of two parameter values for the powered exponential correlation structure, corresponding to the “range” and “shape”. The range parameter value must be greater than zero, and the shape in the interval (0, 2]. Defaults to |
form |
one-sided formula of the form |
metric |
optional character string specifying the distance metric to be used. The currently available options are |
radius |
radius to be used in the haversine formula for great-circle distance. Defaults to the Earth's radius of 3,956 miles. |
Value
Object of class 'corRExpwr'
, also inheriting from class 'corRSpatial'
, representing a powered exponential spatial correlation structure.
Note
When "haversine"
is used as the distance metric, longitude and latitude coordinates must be given as the first and second covariates, respectively, in the formula specification for the form
argument.
Author(s)
Brian Smith brian-j-smith@uiowa.edu
References
Cressie, N.A.C. (1993), “Statistics for Spatial Data”, J. Wiley & Sons.
Venables, W.N. and Ripley, B.D. (1997) “Modern Applied Statistics with S-plus”, 2nd Edition, Springer-Verlag.
See Also
Examples
sp1 <- corRExpwr(form = ~ x + y + z)
spatDat <- data.frame(x = (0:4)/4, y = (0:4)/4)
cs1Expwr <- corRExpwr(c(1, 1), form = ~ x + y)
cs1Expwr <- Initialize(cs1Expwr, spatDat)
corMatrix(cs1Expwr)
cs2Expwr <- corRExpwr(c(1, 1), form = ~ x + y, metric = "man")
cs2Expwr <- Initialize(cs2Expwr, spatDat)
corMatrix(cs2Expwr)