\name{RMblend} \alias{RMblend} \title{Scale model for a few areas of different scales and/or differentiabilities} \description{ Let \eqn{Z=(Z_1, \ldots Z_k)} be an \eqn{k}-variate random field and \eqn{A_1,\ldots, A_k} a partition of the space. Then \deqn{Y(x) = \sum_{i=1}^k Z_i * 1(x \in A_i)} i.e. the model blends the components of \eqn{Z} to a new, univariate model \eqn{Y}. } \usage{ RMblend(multi, blend, thresholds, var, scale, Aniso, proj) } \arguments{ \item{multi}{a multivariate covariance function} \item{blend,thresholds}{The \code{threshold} is a vector of increasing values. If the value of \code{blend} is below all thresholds up to the \eqn{k}-th threshold, then the \eqn{k}-th component of the field given by \code{multi} is taken. If necessary the components are recycled. Default: \code{threshold = 0.5}, useful for blending a bivariate field if \code{blend} takes only the values \eqn{0} and {1}. } \item{var,scale,Aniso,proj}{optional arguments; same meaning for any \command{\link{RMmodel}}. If not passed, the above covariance function remains unmodified.} } \value{ \command{\link{RMblend}} returns an object of class \code{\link[=RMmodel-class]{RMmodel}}. } \references{ \itemize{ \item Bonat, W.H. , Ribeiro, P. Jr. and Schlather, M. (2019) Modelling non-stationarity in scale. In preparation. \item Genton, Apanovich Biometrika. } } \me \seealso{ \command{\link{RMSadvanced}}, \command{\link{RMbubble}}, \command{\link{RMscale}}, } \examples{\dontshow{StartExample()} RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set ## RFoptions(seed=NA) to make them all random again x <- seq(0,1, if (interactive()) 0.01 else 0.5) len <- length(x) m <- matrix(1:len, nc=len, nr=len) m <- m > t(m) image(m) # two areas separated by the first bisector biwm <- RMbiwm(nudiag=c(0.3, 1), nured=1, rhored=1, cdiag=c(1, 1), s=c(1, 1, 0.5)) model <- RMblend(multi=biwm, blend=RMcovariate(data = as.double(m), raw=TRUE)) plot(z <- RFsimulate(model, x, x)) ## takes a while ... \dontshow{FinalizeExample()}} \keyword{spatial} \keyword{models}