Barotropic Streamfunction

I am looking at the diagnosed barotropic stream function (BSF) variable in the CESM-LE output.  The output is only timexlatxlon with no level dimension and so I was wondering if anyone knew if it was computed on a certain z_t level or was some sort of vertically intergrated quantity.  I can't seem to find any documentation on how the variable is computed.  Thanks!Melissa
 
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