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#' @title Computing historical rates
#' @usage rateHistory(RR)
#' @description The function calculates historical rates for each tip of the
#' tree. Historical rates represent the sum of rates along subsequent branches
#' of a lineage. The product of these rates multiplied by the relative branch
#' lengths represents the phenotypic transformation from one node to the next
#' one along the path. The function also provides the sum of rate modulus
#' along lineages. This represents the total amount of evolutionary change per
#' lineage.
#' @param RR an object fitted by the function \code{\link{RRphylo}}.
#' @export
#' @return The function returns the vector of net historical rates
#' (\code{$rateHistory$net.rate}) and the sum of rate modulus for each tip
#' (\code{$rateHistory$norm.rate}), and the matrix of phenotypic changes
#' from one node to the next along each lineage (\code{phen.path}).
#' @author Pasquale Raia, Silvia Castiglione
#' @examples
#' \dontrun{
#' data("DataCetaceans")
#' DataCetaceans$treecet->treecet
#' DataCetaceans$masscet->masscet
#' cc<- 2/parallel::detectCores()
#'
#' RRphylo(tree=treecet,y=masscet,clus=cc)->RRcet
#'
#' rateHistory(RR=RRcet)->rh
#'
#' }
rateHistory<-function(RR){
RR$tip.path->L->L2
RR$tree->tree
RR$multiple.rate->rates
allrate<-lapply(1:nrow(L), function(i){
ar<-sapply(1:ncol(rates),function(k)
rates[match(c(rownames(L)[i],getMommy(tree, rownames(L)[i])),rownames(rates)),k,drop=FALSE])
rownames(ar)<-c(rownames(L)[i],getMommy(tree, rownames(L)[i]))
ar
})
hrate<-do.call(rbind,lapply(allrate,colSums,na.rm=TRUE))
norm2vec<-do.call(rbind,lapply(allrate,function(j) apply(j,2,unitV,na.rm=TRUE)))
rownames(hrate)<-rownames(norm2vec)<-rownames(L)
LLs<-lapply(1:ncol(rates),function(k){
lapply(1:length(allrate), function(i){
L2[i,match(rownames(allrate[[i]]),colnames(L))]<<-allrate[[i]][,k]
})
LL<-L2*L
LL[,1]<-RR$aces[1,k]
LL
})
class(LLs)<-"RRphyloList"
return(list(rateHistory=list(net.rate=hrate,norm.rate=norm2vec),phen.path=LLs))
}
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