#' @title F-based Harvest Control Rule
#'
#' @description The F-based rule is the conventional ICES decision rule. Here it
#' is implemented such that the TAC next year is calculated from the true
#' stock in numbers based on a fishing mortality that includes observation error.
#'
#' If the Btrigger is set in the rule (Btrigger > 0) then linear reductions of
#' fishing mortality is done relative to observed spawning stock biomass (i.e.
#' that includes observation errrors).
#'
#' @export
#'
#' @param y XXX
#' @param h XXX
#' @param hrate Harvest rate - with error
#' @param ssb Spawning stock biomass - with error
#' @param ctr Control file
#' @note Need to check is ssb-hat is calculated according to the correct delay
#' specification.
#'
hcr_management_fmort <- function(y, h, hrate,ssb,ctr)
{
selF <- X$selF[,y + ctr$delay,h,]
selD <- X$selD[,y + ctr$delay,h,]
Na <- X$N[,y + ctr$delay,h,]
cWa <- X$cW[,y + ctr$delay,h,]
selF <- X$selF[,y + ctr$delay,h,]
selD <- X$selD[,y + ctr$delay,h,]
Ma <- X$M[,y + ctr$delay,h,]
# adjust harvest rate
i <- ssb < ctr$b_trigger
hrate[i] <- hrate[i] * ssb[i]/ctr$b_trigger
Fa <- t(hrate * t(selF))
Da <- t(hrate * t(selD))
tac_next_year <- colSums(Na * Fa/(Fa + Da + Ma + 1e-05) *
(1 - exp(-(Fa + Da + Ma))) * cWa)
# 20% TAC constraint
#tac_next_year <- ctr$h_alpha * tac_this_year + (1 - ctr$h_alpha) * tac_next_year
# TAC buffer
if(ctr$h_alpha > 0) {
tac_this_year <- X$TAC[y,h,] # This years TAC
i <- tac_next_year > tac_this_year * (1 + ctr$h_alpha)
if(any(i)) tac_next_year[i] <- tac_this_year[i] * (1 + ctr$h_alpha)
i <- tac_next_year < tac_this_year * (1 - ctr$h_alpha)
if(any(i)) tac_next_year[i] <- tac_this_year[i] * (1 - ctr$h_alpha)
}
X$TAC[y+1,h,] <<- tac_next_year
if(ctr$h_beta > 0) {
# now need to add in the constraint that the F does not deviate by more than
# 10% from the target
# Calculate the current Fmultiplier
xF <- hcr_TAC_to_Fmult(y+1,h)
# Now find out which of the xF deviate by more than 0.9 and 1.1 of the hrate
i <- xF > hrate * (1 + ctr$h_beta)
if(any(i)) hrate[i] <- hrate[i] * (1 + ctr$h_beta)
i <- xF < hrate * (1 - ctr$h_beta)
if(any(i)) hrate[i] <- hrate[i] * (1 - ctr$h_beta)
# now we have adjusted the realized harvest rate the 10% F-constraint
# Need to update the whole calucation for the TAC
# NEED TO DOUBLE CHECK NEXT STEP, THIS WAS ALREADY FIDDLED WITH ABOVE
# No need to worry if NO Btrigger
#i <- ssb < ctr$b_trigger
#hrate[i] <- hrate[i] * ssb[i]/ctr$b_trigger
Fa <- t(hrate * t(selF))
Da <- t(hrate * t(selD))
tac_next_year <- colSums(Na * Fa/(Fa + Da + Ma + 1e-05) *
(1 - exp(-(Fa + Da + Ma))) * cWa)
X$TAC[y+1,h,] <<- tac_next_year
}
}
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