#' R_estimate
#'
#' \code{R_estimate} returns Initial recruitment estimate
#'
#' @param FT Terminal F
#' @param Rinit Initial value for pseudo cohort analysis, equivalent to the last year recruitment
#' @param Mat_C data frame of catch, each column is a different gear
#' @param Mat_R vector of recruitment, if unknown, considered constant
#' @param Mat_E data frame of effort, each column is a different gear
#' @param Mat_M vector of mortality biological parameter
#'
#' @export
R_estimate <- function(FT, age, Mat_C, Mat_R, Mat_E, Mat_M) {
R_pseudo_rectif_bis <-function(init) # init <- R_init
{
Mat_F2<<-Mat_C/Mat_Cage # attention, initialisation de F2 au ratio de chaque metier
indice<<-1
Mat_N2[indice]<<-init
Mat_F2[indice,]<<-Mat_F2[indice,]*optimize(F_a_min,interval=c(0,2))$minimum
# réallocation du F estimé pour chaque métier
Mat_q[indice,]<<-Mat_F2[indice,]/Mat_E[1,]
Mat_N2[indice+1]<<-F_abundance(indice)
for(compteur in 2:(age))
{
indice<<-compteur
Mat_F2[indice,]<<-Mat_F2[indice,]*optimize(F_a_min,interval=c(0,2))$minimum
Mat_q[indice,]<<-Mat_F2[indice,]/Mat_E[1,]
if (indice<age) Mat_N2[indice+1]<<-F_abundance(indice)
}
#on renvoie la somme
if (nb_flot < 2)
{
Mat_F2[age,] # si 1 seul engin
}
else
{
apply(Mat_F2[age,],1,sum) # si multi-engins
}
}
F_pseudo_rectif_global<-function(init)
{
res<-(FT-R_pseudo_rectif_bis(init))^2
res
}
FT_init <- 0.2
VPA_Pope(FT, age, Mat_Cage, Mat_M)
Rinit <- Mat_N[1]
MAT_N<<-rep(NA,age) # effectifs methode de Pope
Mat_N2<<-rep(NA,age) # effectifs methode rectifiee
Mat_C <<- Mat_C
nb_flot<<- ncol(Mat_C)# nombre de flottilles
Mat_Cage <<- apply(Mat_C,1,sum) # somme des captures de chaque flottille
Mat_C <<- Mat_C
Mat_E <<- Mat_E
Mat_R <<- Mat_R
Mat_M <<- Mat_M
Mat_q <<- Mat_C #initialisation des capturabilites par les captures
indice <<- 1 # age de recrutement
optimize(F_pseudo_rectif_global,interval=c(Rinit/10,Rinit*10))$minimum
# plot(Mat_Cage, xlab = "Age", ylab = "Catch (numbers)", type = "b", main= paste0("Catch at age - ", espece))
# print("Mat_F2")
# print(Mat_F2)
# Mat_F<- apply(Mat_F2,1,sum)
# plot(Mat_F, xlab = "Age", ylab = "Fishing mortality (numbers)", type = "b", main= paste0("F at age - ", espece))
# print("Mat_N2")
# print(Mat_N2)
# plot(Mat_N2, xlab = "Age", ylab = "Abundance (numbers)", type = "b", main= paste0("Abundance at age - ", espece))
}
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