Dear Stephen,

Thank you for getting back to me.

A CF standard name for integral_wrt_depth need not necessarily be interpreted 
as a full ocean depth quantity. The limits of the integral are specified by 
placing bounds on the vertical coordinate variablle that is attached to the 
data variable. The bounds can be used to indicate that an integral has been 
calculated over a single model layer, for example. We recently discussed on the 
mailing list how to specify the limits if the integral is calculated over the 
whole ocean depth and it was agreed that if no limits (i.e. bounds) are 
specified then the integral is assumed to be full depth. This clarification has 
now been added to the definitions of all the integral_ wrt_depth standard names.

I think Martin's question regarding the units is an important one and it would 
be better to be clear in the names that the quantities are vertical integrals 
if that is indeed the case. The bounds can then be used to describe the limits, 
as above. I think it would then be okay to describe something as being the 
tendency of an integrated quantity.  My own question related to the order in 
which the operations are carried out on the variable, I.e. is it the tendency 
of the vertical integral, or the vertical integral of the tendency?

Best wishes,
Alison
________________________________
From: Stephen Griffies - NOAA Federal <[email protected]>
Sent: 21 June 2018 14:00:46
To: Pamment, Alison (STFC,RAL,RALSP)
Cc: Juckes, Martin (STFC,RAL,RALSP); [email protected]; Jonathan 
Gregory; Karl Taylor; Durack, Paul J.
Subject: Re: 
tendency_of_sea_water_conservative_temperature_expressed_as_heat_content units

Alison,

Thanks for staying on top of these matters.

The diagnostics "tendency_of_sea_water_" refer to the tendency as integrated 
over the thickness of a single model grid cell.

In contrast, 
"integral_wrt_depth_of_sea_ice_temperature_expressed_as_heat_content " is an 
integral over the full ocean depth from bottom to top.

I recommend we keep the naming convention unchanged in order to clearly 
distinguish between the two diagnostics.

Stephen





On Thu, Jun 21, 2018 at 2:42 AM, Alison Pamment - UKRI STFC 
<[email protected]<mailto:[email protected]>> wrote:
Dear Martin, Stephen and Jonathan,

We have seven existing 
tendency_of_sea_water_conservative_temperature_expressed_as_heat_content names 
(and seven existing 
tendency_of_sea_water_potential_temperature_expressed_as_heat_content names)all 
with units of W m-2. I think all of these were introduced for OMIP.

If something is described as a 'heat content' I would expect it to have units 
of J m-2. Indeed that is the case for the two existing names
integral_wrt_depth_of_sea_ice_temperature_expressed_as_heat_content and 
integral_wrt_depth_of_sea_water_potential_temperature_expressed_as_heat_content.
 Calculating tendencies of such quantities would then give us units of W m-2. 
This suggests to me that the OMIP names should all follow the pattern:
tendency_of_integral_wrt_depth_of_sea_water_X_temperature_expressed_as_heat_content
where X is 'potential' or 'conservative'. The bounds of the vertical coordinate 
variable should give the limits on the integral for each grid cell.

Does this pattern of writing the names match the method of calculating the 
quantities (i.e. the tendency of the integral, rather than the integral of the 
tendency?)

We can of course create aliases to correct the names once we have agreed on 
what changes are needed.

Best wishes,
Alison

------
Alison Pamment                                 Tel: +44 1235 778065
NCAS/Centre for Environmental Data Archival    Email: 
[email protected]<mailto:[email protected]>
STFC Rutherford Appleton Laboratory
R25, 2.22
Harwell Oxford, Didcot, OX11 0QX, U.K.

From: Juckes, Martin (STFC,RAL,RALSP)
Sent: 10 June 2018 18:52
To: Stephen Griffies - NOAA Federal 
<[email protected]<mailto:[email protected]>>
Cc: [email protected]<mailto:[email protected]>; Jonathan Gregory 
<[email protected]<mailto:[email protected]>>; Karl Taylor 
<[email protected]<mailto:[email protected]>>; Pamment, Alison (STFC,RAL,RALSP) 
<[email protected]<mailto:[email protected]>>; Durack, Paul J. 
<[email protected]<mailto:[email protected]>>
Subject: Re: 
tendency_of_sea_water_conservative_temperature_expressed_as_heat_content units

Hi Stephen,

thanks, that is clear. There may be an issue with the CF standard name ... we 
usually have "integral_wrt_depth" in the name for such quantities. Perhaps 
Jonathan or Alison can comment on that,

regards,
Martin

________________________________________
From: Stephen Griffies - NOAA Federal 
<mailto:[email protected]<mailto:[email protected]>>
Sent: 10 June 2018 16:52
To: Juckes, Martin (STFC,RAL,RALSP)
Cc: mailto:[email protected]<mailto:[email protected]>; Jonathan 
Gregory; Karl Taylor; Pamment, Alison (STFC,RAL,RALSP); Durack, Paul J.
Subject: Re: 
tendency_of_sea_water_conservative_temperature_expressed_as_heat_content units

Hi,

Thanks for the question.

As discussed in Griffies et al (2016), we request heat and salt budgets to be 
integrated over the thickness of a grid cell.  For the heat budget, this 
thickness weighting then leads to units of W m-2 rather than W m-3.

There is a good reason to ask for the diagnosed budgets to be integrated over 
the thickness of a grid cell.  Namely, most ocean models have time-dependent 
grid cell thicknesses. So the only way to ensure budgets can be closed with 
offline diagnostics is to have each model perform the thickness weighting 
online.

Make sense?

Best,
   Stephen



On Sun, Jun 10, 2018 at 9:58 AM, Martin Juckes - UKRI STFC 
<mailto:[email protected]<mailto:[email protected]>> wrote:
Dear Jonathan, Stephen, Karl,


I'm puzzled by the units of the CMIP6 variable ocontemptend and teh associated 
standard name 
tendency_of_sea_water_conservative_temperature_expressed_as_heat_content  -- in 
the data request and the standard name table respectively with units "W m-2". 
This is consistent with the Griffies et al 2016 paper on ocean diagnostics and 
with the discussion on the CF mailing list. However, it is requested as a 
function of depth, so I would expect to see units of "W m-3" for the tendency 
of a heat density.


The units "W m-2" are usually used for a surface heat flux. There are a number 
of variables related to ocontemptend with the same units.


Am I missing something, or should we change the units or the depth dependency?


regards,

Martin





--
Dr. Stephen M. Griffies
NOAA Geophysical Fluid Dynamics Lab
201 Forrestal Road
Princeton, NJ 08542
USA




--
Dr. Stephen M. Griffies
NOAA Geophysical Fluid Dynamics Lab
201 Forrestal Road
Princeton, NJ 08542
USA

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