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#' Number of equivalent complete generations
#'
#' Computes the number of equivalent complete generations (\emph{t}), as defined by Boichard et al (1997).
#'
#' @template ped-arg
#' @template nameto-arg
#' @return The input dataframe, plus an additional column corresponding to the number of equivalent complete generations of every individual (named "t" by default).
#' @seealso \code{\link{pop_Ne}}
#' @references
#' \itemize{
#' \item{Boichard D, Maignel L, Verrier E. 1997. The value of using probabilities of gene origin to measure genetic variability in a population. Genet. Sel. Evol., 29: 5-23.}
#' }
#' @examples
#' data(dama)
#' dama <- pop_t(dama)
#' tail(dama)
#' @export
pop_t <-function(ped, name_to = "t") {
check_basic(ped)
check_not_col(base::colnames(ped), name_to)
N <- base::nrow(ped)
t <- base::numeric(N)
for (i in 1:N) {
if (ped[["dam"]][i]) t[i] <- t[i] + 0.5 + 0.5 * t[ped[["dam"]][i]]
if (ped[["sire"]][i]) t[i] <- t[i] + 0.5 + 0.5 * t[ped[["sire"]][i]]
}
ped[name_to] <- t;
ped
}
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