GEOG 486
Cartography and Visualization

Multivariate Choropleths

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Multivariate Choropleths

As choropleth maps are the most popular type of univariate thematic map, it is not surprising that they are also commonly used in multivariate mapping. Most common are bivariate choropleths—choropleth maps that visualize two variables. Note that while cartographers have historically described maps of two data variables as bivariate, these maps can also be described as multivariate (more than one variable). In the context of this lesson and course, we will generally use the more comprehensive description multivariate maps.

The map in Figure 7.2.1 is an example of a bivariate choropleth distributed by the U.S. Census Bureau. It uses a hue progression (yellow to blue) to visually encode population density, and color lightness to visually encode population change. The way these symbols are combined is explained by the 3x3 box legend in the lower right.

Percent Change, 1990 to 2000 and Population Density, 1990, bivariate choropleth map
Figure 7.2.1 A bivariate choropleth map visualizing change in population density over time. 
Credit: US Census

You might notice that this map uses color hue to encode population density, which is a sequential quantitative variable—a design choice we have discouraged in previous lessons. In general, color lightness is a much better choice for encoding quantitative data. In this map, however, color lightness is already being used to map the other variable—population change. Creating multivariate maps sometimes requires bending the rules of cartographic conventions a bit so as to best represent all of your data.

Recommended Reading

  • Brewer, Cynthia A. 1994. “Color Use Guidelines for Mapping and Visualization.” In Visualization in Modern Cartography, edited by Alan M. MacEachren and D.R. F. Taylor, 123–147. Pergamon.
  • Axis Maps. 2018. “Bivariate Choropleth.” Cartography Guide. Accessed November 14.
  • Stevens, Joshua. 2018. “Bivariate Choropleth Maps: A How-to Guide.” Accessed November 14.