Dear all,

Based on the recent conversation 
(http://mailman.cgd.ucar.edu/pipermail/cf-metadata/2016/058824.html) I propose 
the following rewording of the explanations:

integral_of_air_temperature_excess_wrt_time
"integral_of_Y_wrt_X" means int Y dX. The data variable should have an axis for 
X specifying the limits of the integral as bounds. "wrt" means with respect to. 
Air temperature is the bulk temperature of the air, not the surface (skin) 
temperature. The air temperature excess is the air temperature minus the air 
temperature threshold, where only positive values are included in the integral. 
Its integral with respect to time is often called after its units of 
"degree-days". The air_temperature variable, which is the data variable of the 
integral should have a scalar coordinate variable or a size-one coordinate 
variable with the standard name of air_temperature_threshold, to indicate the 
threshold. 

integral_of_air_temperature_deficit_wrt_time
"integral_of_Y_wrt_X" means int Y dX. The data variable should have an axis for 
X specifying the limits of the integral as bounds. "wrt" means with respect to. 
Air temperature is the bulk temperature of the air, not the surface (skin) 
temperature. The air temperature deficit is the air temperature threshold minus 
the air temperature, where only positive values are included in the integral. 
Its integral with respect to time is often called after its units of 
"degree-days". The air_temperature variable, which is the data variable of the 
integral should have a scalar coordinate variable or a size-one coordinate 
variable with the standard name of air_temperature_threshold, to indicate the 
threshold.


Kind regards,
Lars

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