Consider these examples from the gwsfujian.mxd dataset (1990 Census):

TOTALMALE normalized by TOTALFEMAL (with color changed) looks like this:

and here are 0-4, 5-9, and 10-14 M/F:

Let's put into words what these 4 maps show:

WHY? What is this showing us?

Consider the patterns for ALL counties of China:

...and the 0-4 cohort: