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######################################################
#### ternary plot demo
#### Task: plotting data point hulls in a ternary plot
#### data provided by Manuel Dominguez-Rodrigo
######################################################
library(vcd)
## data
humans=matrix(c(18,19,17,21,7,9,8,62,70,53,69,81,73,71,20,10,30,10,12,18,19),
ncol=3)
colnames(humans)=c("young", "adult", "old")
lions=matrix(c(41,59,62,49,45,21,12,5,11,13,38,29,33,40,42), ncol=3)
colnames(lions)=c("young", "adult", "old")
site=matrix(c(9,12,15,11,70,62,69,68,21,26,16,21), ncol=3)
colnames(site)=c("young", "adult", "old")
humans=matrix(c(18,19,17,21,7,9,8,62,70,53,69,81,73,71,20,10,30,10,12,18,19),
ncol=3)
## regular ternary plot
data = rbind(humans, lions, site)
count = c(nrow(humans), nrow(lions), nrow(site))
rownames(data) = rep(c("humans", "lions", "site"), count)
cols = rep(c("red", "green", "blue"), count)
ternaryplot(data, col = cols)
## now try to draw hull
prop2xy <- function(x) {
x <- as.matrix(x)
x <- x / rowSums(x)
xp <- x[,2] + x[,3] / 2
yp <- x[,3] * sqrt(3) / 2
cbind(x = xp, y = yp)
}
hullpoints <- function(x) {
ind <- chull(x)
ind <- c(ind, ind[1])
x[ind,]
}
drawhull <- function(data, color) {
hp <- hullpoints(prop2xy(data))
grid.lines(hp[,"x"], hp[,"y"], gp = gpar(col = color))
}
## setup plot region without data points
ternaryplot(data, col = NA, pop = FALSE)
## grab plot viewport
downViewport("plot")
## now plot hulls
drawhull(humans, "blue")
drawhull(site, "red")
drawhull(lions, "green")
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