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Turkish elections: How to explain the anomalous fingerprints

On 14th of May, millions of Turkish voters went to the polls to cast their votes in the parliamentary elections. Recently, the official results were published in the website of the Supreme Election Council.

As a data science enthusiast, I decided to download the results and play with them. There is a 2012 paper that suggested to plot the histogram of voter turnout against the votes that the winning party got for each ballot. Namely, for each ballot, we compute the voter turnout, obtained by

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and we consider what ratio of voters voted for the winning party

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The paper suggests that the histogram should look 'unimodal'. Otherwise, the authors argue, the results can be considered anomalous (possibly due to fraud, or some other explanations).

The following is the fingerprint (the term used in the aforementioned paper) of the whole election. Each ballot contains a number of votes between 10 and 400. The x-axis is the turnout, the y-axis is the votes for the winning party (namely, AKP). The colors reflect the number of ballots with the same xy-coordinates. Dark colors mean that there is a small number of ballots in that box and the light colors mean there is a big number of ballots in the box.

Fingerprint of Turkish Elections

The voter turnout is concentrated around %90, which is really high, and AKP got approximately %35 of the votes. The plot certainly looks unimodal.

Then I considered the fingerprints of the election results of 4 cities, the 3 cities with highest population, Istanbul, Ankara and Izmir and the city that was recently affected by a major earthquake, Hatay. Namely, for each city, we only consider the ballots in that city and we plot the voter turnout and the votes for the winning party, just like we did for the whole election.

Fingerprints of Istanbul, Ankara, Izmir and Hatay

One can see that Istanbul and Izmir have unimodal plots, whereas Ankara and Hatay look different. This is what I want to understand.

What are the possible explanations for the election fingerprint of Ankara and Hatay to look bimodal whereas Istanbul and Izmir don't?

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