PostgreSQL functions abound for the aggregation of tabular data, including sum, count, min, max, and so on. PostGIS as a framework does not explicitly have spatial equivalents of these, but this does not prevent us from building functions using the aggregates in concert with PostGIS's spatial functionality.
In this recipe, we will explore spatial summarization with the United States Census data. US Census data, by nature, is aggregated data. This is done intentionally to protect the privacy of citizens. But when it comes to doing analyses with this data, the aggregate nature of the data can become problematic. There are some tricks to disaggregate data. Amongst the simplest of these is the use of a proportional sum based on area, which we will do in this exercise.