Comparing regions: maps, cartograms and tree maps

Last week I attended a seminar where a talk was given about the economic opportunities in the SAAAME (South-America, Asia, Africa and Middle East) regions. Of course a map was shown with those regions highlighted. The map was not that disimilar to the one below.

library(RColorBrewer)
library(rworldmap)
data(countryExData)
par(mai=c(0,0,0.2,0),xaxs="i",yaxs="i")
mapByRegion( countryExData, 
             nameDataColumn="GDP_capita.MRYA",
             joinCode="ISO3", nameJoinColumn="ISO3V10",
             regionType="Stern", mapTitle=" ", addLegend=FALSE,
             FUN="mean", colourPalette=brewer.pal(6, "Blues"))

It is a map that most of us in the Northern hemisphere see often. However, it shows a distorted picture of the world.

Greenland appears to be of the same size as Brazil or Australia and Africa seems to be only about four times as big as Greenland. Of course this is not true. Africa is about 14 times the size of Greenland, while Brazil and Australia are about four times the size of Greenland, with Brazil slightly larger than Australia and nine times the population. Thus, talking about regional opportunities without a comparable scale can give a misleading picture.

Of course you can use a different projection and XKCD helps you to find one which fits your personality. On the other hand, Michael Gastner and Mark Newman developed cartograms, which can reshape the world based on data [1]. Doing this in R is a bit tricky. Duncan Temple Lang provides the Rcartogram package on Omegahat based on Mark Newman's code and Mark Ward has some examples using the package on his 2009 fall course page to get you started.

A simple example of a cartogram is given as part of the maps package. It shows the US population by state:
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