#' Project population dynamics
#'
#' @return List of projected yield and biomass
#'
#' @export
#'
ProjPopDym<-function(fmortN,fmortS=0,MaxAge,vulnN,vulnS,NatMn,NatMs,matureN,matureS,WeightAtAgeN,
WeightAtAgeS,steepnessN,steepnessS,RzeroN,RzeroS,LenAtAgeN,LenAtAgeS,ProxyRec=0,sigmaRn,sigmaRs,
RefYear,MovementN,MovementS)
{
tempNn <-matrix(ncol=MaxAge,nrow=100)
tempNn[1,] <-initialN(Rzero=RzeroN[RefYear],NatM=NatMn[RefYear],inAge=MaxAge)
tempNs <-matrix(ncol=MaxAge,nrow=100)
tempNs[1,] <-initialN(Rzero=RzeroS[RefYear],NatM=NatMs[RefYear],inAge=MaxAge)
tempCatchN <-rep(0,100)
tempCatchS <-rep(0,100)
tempRecN <-rep(0,100)
tempRecS <-rep(0,100)
tempCatchAtAgeN <-matrix(ncol=MaxAge,nrow=100)
tempCatchAtAgeS <-matrix(ncol=MaxAge,nrow=100)
inFs<-fmortS
inFn<-fmortN
for (j in 2:100)
{
for (i in 2:(MaxAge-1))
{
tempNn[j,i] <-tempNn[j-1,i-1]*exp(-inFn*vulnN[RefYear,i-1])*exp(-NatMn[RefYear])
tempNs[j,i] <-tempNs[j-1,i-1]*exp(-inFs*vulnS[RefYear,i-1])*exp(-NatMs[RefYear])
}
tempNn[j,MaxAge] <-(tempNn[j-1,(MaxAge-1)])*exp(-inFn*vulnN[RefYear,MaxAge])*exp(-NatMn[RefYear])+ tempNn[j-1,MaxAge]*exp(-inFn*vulnN[RefYear,MaxAge])*exp(-NatMn[RefYear])
tempNs[j,MaxAge] <-(tempNs[j-1,(MaxAge-1)])*exp(-inFs*vulnS[RefYear,MaxAge])*exp(-NatMs[RefYear])+ tempNs[j-1,MaxAge]*exp(-inFs*vulnS[RefYear,MaxAge])*exp(-NatMs[RefYear])
moveFromN <-tempNn[j,]*MovementN[RefYear,]
moveFromS <-tempNs[j,]*MovementS[RefYear,]
tempNn[j,] <-tempNn[j,]-moveFromN+moveFromS
tempNs[j,] <-tempNs[j,]-moveFromS+moveFromN
EggsN <-sum(tempNn[j-1,]*matureN[RefYear,]*WeightAtAgeN[RefYear,])
EggsS <-sum(tempNs[j-1,]*matureS[RefYear,]*WeightAtAgeS[RefYear,])
if(ProxyRec==0)
{
tempNn[j,1] <-Recruitment(EggsIN=EggsN,steepnessIN=steepnessN[RefYear],RzeroIN=RzeroN[RefYear],RecErrIN=0,recType="BH",NatMin=NatMn[RefYear],
vulnIN=vulnN[RefYear,],matureIN=matureN[RefYear,],weightIN=WeightAtAgeN[RefYear,],LenAtAgeIN=LenAtAgeN[RefYear,],MaxAge,sigmaRin=sigmaRn[RefYear])
tempNs[j,1] <-Recruitment(EggsIN=EggsS,steepnessIN=steepnessS[RefYear],RzeroIN=RzeroS[RefYear],RecErrIN=0,recType="BH",NatMin=NatMs[RefYear],
vulnIN=vulnS[RefYear,],matureIN=matureS[RefYear,],weightIN=WeightAtAgeS[RefYear,],LenAtAgeIN=LenAtAgeS[RefYear,],MaxAge,sigmaRin=sigmaRs[RefYear])
}
if(ProxyRec>0)
{
tempNn[j,1] <-ProxyRec
tempNs[j,1] <-ProxyRec
}
tempRecN[j] <-tempNn[j,1]
tempRecS[j] <-tempNs[j,1]
tempCatchAtAgeN[j,] <-((vulnN[RefYear,]*inFn)/(vulnN[RefYear,]*inFn+NatMn[RefYear])) * (1-exp(-(vulnN[RefYear,]*inFn+NatMn[RefYear]))) * tempNn[j-1,]
tempCatchN[j] <-sum(tempCatchAtAgeN[j,]*WeightAtAgeN[RefYear,])
tempCatchAtAgeS[j,] <-((vulnS[RefYear,]*inFs)/(vulnS[RefYear,]*inFs+NatMs[RefYear])) * (1-exp(-(vulnS[RefYear,]*inFs+NatMs[RefYear]))) * tempNs[j-1,]
tempCatchS[j] <-sum(tempCatchAtAgeS[j,]*WeightAtAgeS[RefYear,])
}
outYield <-tempCatchN[j]
outBiomass <-EggsN
list(outYield,outBiomass)
}
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