Gerrymandering and the 2010 Census

When a state gains population it may also gain a new congressional representative. Frequently this causes the state to redraw its congressional district boundaries. Since 2010 is a Census year, states that gain or lose a representative will be going through the redistricting process. Therefore this is a good time to look into gerrymandering.

Illinois' 4th District

A district is gerrymandered if its geographic boundaries are re-drawn to accomplish some political goal. Each state has its own method of deciding on the boundaries of district lines and some states may not make their deliberations public. Thus the first task of determining which (if any) districts are gerrymandered is to look at the shape of the district. But examining all 435 congressional districts in the US is a daunting task. And redistricting isn’t restricted to national politics. State and local governments frequently have legislative bodies similar to the US House whereby legislators represent a region in a state, or a neighborhood in a large city. The task of examining these national and local districts is even more daunting. Fortunately computers, math and visualization can be pressed into service to aid in the search.

Maryland's 1st District

A website called is a superb resource for people wanting to know more about individual districts. Many of the images in this article come from their website. They track each district by 4 mathematical scores designed to identify oddly shaped areas. The details of these scores aren’t important (but detail is provided at the end of this article). What is important to note is that while none are perfect, they all are good enough to highlight potential problem areas. All gerrymandered districts have poor scores, but some egregious examples only score moderately poor. And some of the worst offenders are false positives, appearing to be gerrymandered merely because they follow a river, coastline, mountain range or state boundary.

Arizona's 2nd District

Furthermore some may have been gerrymandered for legitimate political reasons. Arizona district 2 is this shape mainly to address possible conflict of interest issues between neighboring Indian tribes. The point is that the algorithms work best when viewed as a hint that something may be amiss. If the algorithms indicate an issue then further study is warranted.

While RedistrictingTheNation has some excellent quantitative analysis on each district, those analyses are primarily numerical and focused only on the district at hand. Another excellent site that tracks broader governmental issues is When you pull up a state’s page on GovTrack you can see at a glance all the congressional districts for that state. This provides some context to the districts. For example, one thing that’s a little easier to determine from GovTrack is the party affiliation of neighboring districts. Illinois’ 4th district is democratic. It is bordered above, below and in the middle by IL-05, IL-03 and IL-07 respectively all of which are democratic too. Wikipedia conjectures that IL-04 follows ethnic boundaries even if the surrounding districts are all of the same political party.

Zoom of Illinois from

The concern over gerrymandering has a growing movement. There’s an online game and a movie in the works. The visual appeal of oddly shaped congressional districts is so powerful it’s hard to imagine this story being told without infographics of the type seen on or This bodes well for my New-Years wish list, gerrymandering may be the first main stream news story told with a significant contribution from infographics. However, info graphics alone lack a personal touch. We’ll try to provide that next week.

* Detail On How RedistrictingTheNation Computes Its Scores

Method Detail Score
Convex Hull

The district is red. The convex hull is the area enclosed by the green outline. (Imagine wrapping string around the shape.)

The score is calculated by dividing the area of the district by the area of the convex hull. The score ranges from 0 (very twisty, possibly gerrymandered) to 1 (the district is convex).


The smallest circle that can enclose the district is shown in green.

The score is calculated by dividing the area of the district by the area of the circle. The score ranges from 0 (very twisty, possibly gerrymandered) to 1 (if the district is a circle). multiplies all scores by 100 to get a 0 to 100 range.


Make a circle where the circumference is the same as the perimeter of the district.

Then compare the area of the district with the area of the resulting circle.

Scores again range from 0 (gerrymandered) to 1.

Modified Schwartzberg

Make a circle where the circle has the same area as the area of the district.

Compare the perimeter of the circle with the perimeter of the district.

The normal Schwartzberg score has the circle in the denominator, but RedistrictingTheNation modified this to keep it consistent with scores ranging from 0 to 1.

6 comments for “Gerrymandering and the 2010 Census

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