R - Detect and summarize changes in categorical raster

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I am trying to detect and summarize changes in categorical rasters.

I have two raster bricks. Each one is a land use map, with values ranging from 1 to 15 and representing different land-use classes. r1 is my control scenario, and r2 is my climate change scenario where changes in climate induce changes in land use classes.

Here is some example data:

## scratch a raster brick with 120 timesteps (10 years of monthly data)r2
 
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