This topic started as an SB convo:
The advantage of the Thiel index is that each county shows what it contributes to the whole. Rural White society tends to be neutrally sloped in income distribution (not too flat, not too steep), and contribute little. The contributions of urban areas are predictable -- poor and rich live together in close proximity. The black belt and rural Hispanic settlements in the SW (and Eastern Washington State) also show up.
The point is that rural and small town Black settlement, and rural Hispanics, subtract from the Thiel index (tend to have flat income distributions). Urban Blacks and Hispanics, and very rich segments of the population have a huge positive contribution. These phenomena seem to transcend the 'Red State/Blue State' divide and be systematic in both regions.