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What are the concentrations of persistent organic pollutants (POPs) in Baltic sea fish.
POP concentrations in Baltic sea fish have been measured from samples collected in EU-kalat project.
library(OpasnetUtils)
library(ggplot2)
library(rjags)
dat <- opbase.data("Op_en3104", subset = "POPs")
dat <- dat[dat$Fish_species == "Baltic herring" , ]
dat <- subset(dat,!(is.na(dat["Result"])))
dat <- dropall(dat)
congeners <- levels(dat$POP) #names of different congeners in data
Y <- length(congeners) #number of congeners and j's in for loop
compdat <- dat[dat$POP %in% congeners[1:Y] , ] #data for current congener
Compound <- log10(compdat$Result+1E-2) #+1E-2 because zero concentrations are not allowed
mo <- textConnection("model{
for (j in 1 : Y ) {
tau1[j] ~ dunif(0.001, 1000)
muOfCompound[j] ~ dnorm(0, 0.001)
}
for( i in 1 : N ) {
Compound[i] ~ dnorm(muOfCompound[POP[i]], tau2[i])
tau2[i] <- tau1[POP[i]]*sqrt(n[i])
}
}
")
dataList = list(
Y = Y,
Compound = Compound,
POP = as.numeric(compdat$POP),
N = length(Compound),
n = compdat$N_individuals #number of fishes in sample
)
jags <- jags.model(mo, data = dataList, n.chains = 4, n.adapt = 1000)
close(mo)
#update(jags, 1000)
out <- coda.samples(jags, c('tau1', 'muOfCompound'), 500) # Stores a posterior sample
plot(out)
Meanlogpost = c()
for (j in 1 : Y) {
logmean <- mean(out[[4]][,j]) #calculate mean of logmu for posterior (test 4)
Meanlogpost = c(Meanlogpost, logmean)
}
Sdlogpost = c()
for (j in 1 : Y) {
logsd <- sqrt(1/(mean(out[[4]][,j+Y])))
Sdlogpost = c(Sdlogpost, logsd)
}
Meanpost = c()
for (j in 1 : Y) {
mu = out[[4]][,j]
mean <- mean(10^mu)-1E-2 #calculate mean of mu for posterior (test 4)
Meanpost = c(Meanpost, mean)
}
resultsall <- data.frame(
Meanorig = aggregate(compdat$Result, compdat["POP"], mean), #calculate mean for original data
Sdorig = aggregate(compdat$Result, compdat["POP"], sd)$x, #calcaulte sd of original data
Meanlog = aggregate(Compound, compdat["POP"], mean)$x, #calculate mean for logdata
Sdlog = aggregate(Compound, compdat["POP"], sd)$x, #calculate sd for logdata
Meanlogpost = Meanlogpost,
Sdlogpost = Sdlogpost,
Meanpost = 10^Meanlogpost-1E-02,
Sdpost = 10^Sdlogpost-1E-02
)
oprint(resultsall)
ggplot(dat, aes(x = Result, colour = Catch_location))+geom_density()+scale_x_log10()
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