\name{corGrafen} \alias{corGrafen} \alias{coef.corGrafen} \alias{corMatrix.corGrafen} \title{Grafen's (1989) Correlation Structure} \usage{ corGrafen(value, phy, form=~1, fixed = FALSE) \method{coef}{corGrafen}(object, unconstrained = TRUE, ...) \method{corMatrix}{corGrafen}(object, covariate = getCovariate(object), corr = TRUE, ...) } \arguments{ \item{value}{The \eqn{\rho}{rho} parameter} \item{phy}{An object of class \code{phylo} representing the phylogeny (branch lengths are ignored) to consider} \item{object}{An (initialized) object of class \code{corGrafen}} \item{corr}{a logical value. If 'TRUE' the function returns the correlation matrix, otherwise it returns the variance/covariance matrix.} \item{fixed}{an optional logical value indicating whether the coefficients should be allowed to vary in the optimization, or kept fixed at their initial value. Defaults to 'FALSE', in which case the coefficients are allowed to vary.} \item{form}{ignored for now.} \item{covariate}{ignored for now.} \item{unconstrained}{a logical value. If 'TRUE' the coefficients are returned in unconstrained form (the same used in the optimization algorithm). If 'FALSE' the coefficients are returned in "natural", possibly constrained, form. Defaults to 'TRUE'} \item{\dots}{some methods for these generics require additional arguments. None are used in these methods.} } \description{ Grafen's (1989) covariance structure. Branch lengths are computed using Grafen's method (see \code{\link{compute.brlen}}). The covariance matrice is then the traditional variance-covariance matrix for a phylogeny. } \value{ An object of class \code{corGrafen} or the rho coefficient from an object of this class or the correlation matrix of an initialized object of this class. } \author{Julien Dutheil \email{julien.dutheil@univ-montp2.fr}} \seealso{ \code{\link{corClasses}}, \code{\link{compute.brlen}}, \code{\link{vcv.phylo}}. } \references{ Grafen, A. (1989) The phylogenetic regression. \emph{Philosophical Transactions of the Royal society of London. Series B. Biological Sciences}, \bold{326}, 119--157. } \keyword{models}