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Distorting the US Election Results via "Cartograms"

Hilary Spencer

Thursday, 20 Nov 2008 23:51 UTC

Mark Newman, a physics professor at the University of Michigan, released several maps of election results in the United States. The first is one that we’ve all seen:

However, as Newman points out: “Looking at this map it gives the impression that the Republicans won the election handily, since there is rather more red on the map than there is blue. In fact, however, the reverse is true – the Democrats won by a substantial margin”. (This seems to be because the map violates the rather intuitive mapping between spatial attributes and numerical values — we assume that if something is bigger, then it has a larger value). Newman suggests correcting for this by scaling the states according to their population, or more accurately their electoral college votes:

Looking at the votes county by county, scaling by population, and using a red-blue color scale to represent the percentage of voters voting for a particular party (e.g. bright red = most votes were for John McCain; bright blue = most votes were for Barack Obama), we arrive at:

Newman has extended this idea to many other datasets via his Worldmapper project. There you can seem maps of the world scaled by population size, or carbon emissions in 2000.

If you’re curious about the methodology used to draw the maps, you can check out their PNAS paper: Michael T. Gastner and M. E. J. Newman (2004) Diffusion-based method for producing density equalizing maps Proc. Natl. Acad. Sci. 101, 7499-7504. (available via ArXiv) or M. T. Gastner, C. R. Shalizi, and M. E. J. Newman, Maps and cartograms of the 2004 US presidential election results, Advances in Complex Systems 8, 117–123 (2005).

Since the maps already involve some distortion in their projection into 2D, I wonder what this idea would look like on a globe.

Updated 21 Nov 2008 00:13 UTC


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