#' Simulation of codemographic models
#' @description Simulation of the PT model of Gehara et al. (2017)
#' @param nsims Total number of simulations
#' @param var.zeta Variation on zeta parameter. Can be "FREE" to vary or be set to a specific value (between 0-1).
#' @param coexp.prior Uniform prior for the coespansion time. Vector of two numbers with the lower and upper boudary of the prior.
#' @param Ne.prior Data frame with the prior values for the Ne of each population.
#' @param NeA.prior Data frame with the prior values for the ancestral Ne of each population.
#' @param time.prior Data frame with parameter values for the priors of the time of demographic change of each population.
#' @param gene.prior Data frame with parameter values for the priors of the mutation rate of each species.
#' @param alpha logical. If TRUE all demographic chages are exponential. If FALSE sudden changes. Defaut is FALSE.
#' @param append.sims logical. If TRUE simulations are appended to the simulations file. Defaut is FALSE.
#' @param path Path to the directiry to write the simulations. Defaut is the working directory.
#' @details To simulate the model of Chan et al. (2014), the Threshold model and the Narrow Coexpansion Time model use the sim.coexp function.
#' @details See references for more details.
#' @references Gehara M., Garda A.A., Werneck F.P. et al. (2017) Estimating synchronous demographic changes across populations using hABC and its application for a herpetological community from northeastern Brazil. Molecular Ecology, 26, 4756–4771.
#' @references Chan Y.L., Schanzenbach D., & Hickerson M.J. (2014) Detecting concerted demographic response across community assemblages using hierarchical approximate Bayesian computation. Molecular Biology and Evolution, 31, 2501–2515.
#' @export
sim.coexpPT<-function(nsims,
var.zeta,
coexp.prior,
Ne.prior,
NeA.prior,
time.prior,
gene.prior,
alpha=F,
append.sims=F,
path=getwd())
{
setwd(path)
if(append.sims==F){
simulations<-matrix(nrow=1,ncol=20)
simulations[1,]<-c("zeta","ts","E(t)","DI",
"var.pi","mean.pi","skew.pi","kur.pi",
"var.ss","mean.ss","skew.ss","kur.ss",
"var.H","mean.H","skew.H","kur.H",
"var.TD","mean.TD","skew.TD","kur.TD")
write.table(simulations,file="simulations.txt", quote=F,row.names=F, col.names=F, sep="\t")
#populations.par<-matrix(nrow=1,ncol=nrow(NeA.prior)*4)
#pop.names<-NULL
#for(i in 1:nrow(NeA.prior)){
#pop.names<-cbind(pop.names,t(c(paste("Ne",i,sep=""),paste("Exp.time",i,sep=""),paste("NeA",i,sep=""),paste("mi",i,sep=""))))
#}
#populations.par[1,]<-pop.names
#write.table(populations.par,file="pop_parameters.txt", quote=F,row.names=F, col.names=F, sep="\t")
}
TIME<-system.time(for (i in 1:nsims){
x<-coexp.sample.pars2(nruns=1,var.zeta=var.zeta,coexp.prior=coexp.prior,Ne.prior=Ne.prior,
NeA.prior=NeA.prior,time.prior=time.prior,gene.prior=gene.prior)
y<-coexp.MS(MS.par=x$MS.par, gene.prior = gene.prior,alpha=alpha)
z<-coexp.sumstat(ms.output=y,gene.prior=gene.prior)
simulations<-c(x$coexp.par,z)
#populations.par<-unlist(x$pop.par)
write.table(t(simulations),file="simulations.txt", quote=F,row.names=F, col.names=F, append=T, sep="\t")
#write.table(t(populations.par),file="pop_parameters.txt", quote=F,row.names=F, col.names=F, append=T,sep="\t")
print(paste(i,"sims of",nsims,"| zeta = ",x$coexp.par[,1]))
})
print(TIME)
}
# Internal function of the sim.coexp2 function
# @description sample the parameters of the models from prior distributions.
coexp.sample.pars2<-function(nruns,
var.zeta,
coexp.prior,
Ne.prior,
NeA.prior,
time.prior,
gene.prior){
MS.par<-list(NULL)
pop.par<-list(NULL)
coexp.par<-matrix(nrow=nruns,ncol=4)
nspecies<-nrow(Ne.prior)
for(i in 1:nspecies){
mat<-matrix(nrow=nruns,ncol=4)
MS.par[[i]]<-mat
pop.par[[i]]<-mat
}
for(j in 1:nruns){
range<-coexp.prior[2]-coexp.prior[1]
x<-range/nspecies
priors<-(x*(1:nspecies))+coexp.prior[1]
priors<-c(coexp.prior[1],priors)
e.t<-vector()
for(i in 1:(length(priors)-1)){
e.t[i]<-runif(1,priors[i],priors[i+1])
}
Ts <-sample(e.t,1)
x<-match(Ts,e.t)
e.t<-e.t[-x]
if (var.zeta=="FREE") {
zeta.space<-1/nspecies # creates prior for n coexpanding species
zeta.space<-zeta.space*(1:nspecies) # creates prior for n coexpanding species
zeta<-sample(zeta.space,1)
zeta.b<-nspecies*zeta
} else {
zeta<-var.zeta
zeta.b<-nspecies*zeta
}
if(zeta.b==nspecies){
time.prior[1:nrow(time.prior),3]<-Ts
} else {
coexp.sp<-sort(sample.int(nspecies,zeta.b))
time.prior[c(coexp.sp),c(3,4)]<-Ts
time.prior[-c(coexp.sp),c(3,4)]<-sample(e.t,(nspecies-length(coexp.sp)))
}
Et<-mean(time.prior[,3])
Disp.index<-var(time.prior[,3])/Et
coexp.par[j,]<-c(zeta,Ts,Et,Disp.index)
for(i in 1:nspecies){
ms.par<-NULL
Ne <- runif(1, Ne.prior[i,3], Ne.prior[i,4])
Ne.EXP.t <- time.prior[i,3]/time.prior[i,5] #corrects by generations
theta.A.ratio <- runif(1, NeA.prior[i,3], NeA.prior[i,4])# thetaA (NeA) ratio
NeA <- Ne*theta.A.ratio
mi <- do.call(as.character(gene.prior[i,2]),args=list(1,gene.prior[i,3],gene.prior[i,4]),quote=F)
while(mi<0){
mi <- do.call(as.character(gene.prior[i,2]),args=list(1,gene.prior[i,3],gene.prior[i,4]),quote=F)
}
Ne <- Ne*gene.prior[i,7]
theta=4*Ne*mi*gene.prior[i,5]
scalar=4*Ne
EXP.time=Ne.EXP.t/scalar
g.rate=-log(NeA/Ne)/Ne.EXP.t
ms.par<-cbind(theta,EXP.time,theta.A.ratio,g.rate)
po.par<-c(Ne,time.prior[i,3],NeA,mi)
MS.par[[i]][j,]<-ms.par
pop.par[[i]][j,]<-po.par
}
#print(j)
}
#write.table(coexp.par,file="sim.par.txt", quote=F,row.names=F, col.names=F, append=T, sep="\t")
#return(MS.par)
pars<-list(NULL,NULL,NULL)
names(pars)<-c("coexp.par","MS.par","pop.par")
pars$coexp.par<-coexp.par
pars$MS.par<-MS.par
pars$pop.par<-pop.par
return(pars)
}
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