I would like to buffer a polygon inward by a percentage of its area, using the polygons below as an example.
How could I shrink each polygon inward resulting in a 35% reduction of area? I am using the term "reverse buffer" because I want the newly created polygons to have the same shape as the originals and be centered and within the originals, like the schematic below.
I am on ArcGIS 10.2 and have SA and ET Geotools.
Answer
In QGIS, there is a Buffer by Percentage plugin that iteratively finds the buffer length required for resizing polygons to a specified percentage.
You can either specify a percentage that's applied to all features, or you can use a feature attribute to resize each feature by a different amount.
Here's an example of countries buffered to take up the area they would cover if they had the same population density as India:
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