Ranthony Clark, an NSF postdoctoral fellow at Duke University focused on mathematics and social justice, discusses her work identifying communities of interest in Ohio’s redistricting. Jiajie Luo, a recent UCLA PhD graduate, dives into how topological data analysis uncovers polling site coverage gaps in urban areas. The conversation highlights innovative approaches to fair representation and the importance of community engagement, revealing how mathematics can drive democratic accessibility.
Identifying communities of interest in redistricting requires a collaborative approach that integrates both geographic data and resident narratives for accurate representation.
The utilization of topological data analysis helps uncover underrepresented polling sites in urban areas, enhancing democratic participation in elections.
Deep dives
Understanding Communities of Interest in Redistricting
Communities of interest are defined by two key aspects: geographic proximity and shared connections that bind them, such as ethnic or economic interests. These communities play a significant role in redistricting as preserving them can help ensure that residents have representatives who are attuned to their shared concerns. Notably, over half of U.S. states include language about maintaining these communities during the redistricting process for congressional districts, highlighting their importance for political representation. The example of diverse neighborhoods in Chicago illustrates how cultural heritage can influence political views, making the preservation of these communities even more crucial.
Challenges in Identifying Communities of Interest
Identifying communities of interest can be a complex task, as there is no standardized method across states for defining these groups. Traditionally, public testimony during town hall meetings has been used to gather input about community preferences, but this approach can be limited due to accessibility issues for some residents. Physical attendance at these events may be difficult for individuals due to work commitments or transportation issues, which emphasizes the importance of incorporating a variety of perspectives. Consequently, more precise data collection methods are needed to accurately represent these communities in redistricting.
Engaging Communities Through Collaborative Mapping
Ranthony Clark's experience involved collaborating with multiple states to assist in the identification of communities during the redistricting process, utilizing a participatory mapping app called Districter. This innovative tool allowed residents to visually denote their communities on a map and share essential locations, such as schools and places of worship, thereby collecting both geographic and narrative data. A community-engaged approach was critical, as it not only involved academic analysis but also sought meaningful participation from residents across several states. The effort was supported by various community organizations, aiming to ensure that the voices of the residents were adequately represented in the data collection process.
Mathematics and the Process of Redistricting
The mathematical techniques used in the communities of interest analysis included clustering methods that grouped similar community maps based on various distance metrics, such as the Hausdorff distance. This required creating a visual dendrogram to represent how communities clustered together based on geographic data. To further understand community narratives, human analysis was conducted on public submissions to categorize themes, which added significant qualitative input to the quantitative data. This dual approach of using both spatial and narrative data ensured that the analysis was robust and could effectively inform the redistricting commissions about community dynamics and representations.
In this episode, the fourth episode of our mathematics and democracy season, we dig into two stories about the intersection of political geography and mathematics. The first story comes from Ranthony Clark and is about her work with the Metric Geometry and Gerrymandering Group around identifying communities of interest, with a focus on her in Ohio alongside CAIR Ohio, the Ohio Organizing Collaborative (OOC), the Ohio Citizens Redistricting Commission, and the Kirwan Institute for the Study of Race and Ethnicity at Ohio State. The second story is about polling sites in cities, and the places in those cities that may not be covered as well as they should be. We hear from Mason Porter and Jiajie (Jerry) Luo, two members of the team, about how they used topological data analysis to find these holes in coverage.