set.seed(1001)
d <- data.frame(x=rnorm(1000),y=rnorm(1000))
getLevel <- function(x,y,prob=0.95) {
kk <- MASS::kde2d(x,y)
dx <- diff(kk$x[1:2])
dy <- diff(kk$y[1:2])
sz <- sort(kk$z)
c1 <- cumsum(sz) * dx * dy
approx(c1, sz, xout = 1 - prob)$y
}
L95 <- getLevel(d$x,d$y)
library(ggplot2); theme_set(theme_bw())
ggplot(d,aes(x,y)) +
stat_density2d(geom="tile", aes(fill = ..density..),
contour = FALSE)+
stat_density2d(colour="red",breaks=L95)