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I searched a bit about this, and found some nice suggestions for 2 Y-axis, but haven’t found anything for more 2+. So here’s my solution:

#Create Dataset

time<-seq(7000,3400,-200)

pop<-c(200,400,450,500,300,100,400,700,830,1200,400,350,200,700,370,800,200,100,120)

grp<-c(2,5,8,3,2,2,4,7,9,4,4,2,2,7,5,12,5,4,4)

med<-c(1.2,1.3,1.2,0.9,2.1,1.4,2.9,3.4,2.1,1.1,1.2,1.5,1.2,0.9,0.5,3.3,2.2,1.1,1.2)

#Define Margins. The trick is to use give as much space possible on the left margin (second value)

par(mar=c(5, 12, 4, 4) + 0.1)

plot(time, pop, axes=F, ylim=c(0,max(pop)), xlab=””, ylab=””,type=”l”,col=”black”, main=””,xlim=c(7000,3400))

points(time,pop,pch=20,col=”black”)

axis(2, ylim=c(0,max(pop)),col=”black”,lwd=2)

mtext(2,text=”Population”,line=2)

par(new=T)

plot(time, med, axes=F, ylim=c(0,max(med)), xlab=””, ylab=””,

type=”l”,lty=2, main=””,xlim=c(7000,3400),lwd=2)

axis(2, ylim=c(0,max(med)),lwd=2,line=3.5)

points(time, med,pch=20)

mtext(2,text=”Median Group Size”,line=5.5)

#Plot the third time series. Again the line parameter are both further increased.

par(new=T)

plot(time, grp, axes=F, ylim=c(0,max(grp)), xlab=””, ylab=””,

type=”l”,lty=3, main=””,xlim=c(7000,3400),lwd=2)

axis(2, ylim=c(0,max(grp)),lwd=2,line=7)

points(time, grp,pch=20)

mtext(2,text=”Number of Groups”,line=9)

axis(1,pretty(range(time),10))

mtext(“cal BP”,side=1,col=”black”,line=2)

legend(x=7000,y=12,legend=c(“Population”,”Median Group Size”,”Number of Groups”),lty=c(1,2,3))

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