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Many world maps, especially old ones, often have shaded country outlines in a particular color. The saturation becomes weaker towards the inside of the country and is strongest at its borders. Here is an example of what I mean:
Is there a correct term for such a map style?
This style does not just appear in historical maps, but for example also in this National Geographic map of Europe from 1962.
In cartography they are called "tint bands", or sometimes, a "verge".
In GIS software it's a "shapeburst fill" (QGIS) or "buffered gradient fill" (ArcGIS)
