Subsidence formula (Subsidence Overlay)

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The total subsidence for year y is calculated as:

$ S_{y,max}=d_{tl,c}\cdot p_{c}-S_{y-1} $

$ S_{O,y}=min(S_{y,max},S_{O,y}) $

$ S_{y,max}=S_{y,max}-S_{O,y} $

$ S_{C,y}=min(S_{y,max},S_{C,y}) $

$ S_{y}=S_{O,y}+S_{C,y} $

where

$ p_{c} $ is the peat fraction of the respective grid cell c.
$ d_{tl,c} $ is the top layer thickness of the respective grid cell c.
$ S_{y,max} $ is the maximum possible subsidence in year y.
$ S_{y} $ is the total subsidence in year y
$ S_{O,y} $ is the subsidence due to oxidation in year y.
$ S_{C,y} $ is the subsidence due to compactions in year y.