Dear Jonathan,

Thank you. I think these changes are all agreed now. I will include them in 
today's standard name table update.

Best wishes,
Alison

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

-----Original Message-----
From: Jonathan Gregory <[email protected]> 
Sent: 01 July 2018 18:29
To: Pamment, Alison (STFC,RAL,RALSP) <[email protected]>
Subject: Re: [CF-metadata] 
tendency_of_sea_water_conservative_temperature_expressed_as_heat_content units

Dear Alison

Yes, this looks fine to me, thanks. I like the simplification for consistency.

Best wishes

Jonathan

On Thu, Jun 28, 2018 at 03:28:14PM +0000, Alison Pamment - UKRI STFC wrote:
> Date: Thu, 28 Jun 2018 15:28:14 +0000
> From: Alison Pamment - UKRI STFC <[email protected]>
> To: "[email protected]" <[email protected]>, "Jonathan  
> Gregory ([email protected])" <[email protected]>
> Subject: RE: [CF-metadata]
>  
> tendency_of_sea_water_conservative_temperature_expressed_as_heat_conte
> nt
>  units
> 
> Dear Jonathan, Martin and Stephen,
> 
> Thank you all for your comments on these names.
> 
> I think what we have agreed to keep the fourteen existing 
> tendency_of_sea_water_X_temperature_expressed_as_heat_content[_due_to_Y] 
> names as they are. (X is 'conservative' or 'potential' and Y is a process 
> name).
> 
> I agree that we should amend the definitions along the lines Martin suggests. 
> I think that for these names we could completely remove the sentence ' 
> "Content" indicates a quantity per unit area' because it's not really 
> necessary. Then we could amend the heat content text to read as follows:
> 'The phrase "expressed_as_heat_content" means that this quantity is 
> calculated as the specific heat capacity times density of sea water 
> multiplied by the [conservative|potential] temperature of the sea water in 
> the grid cell and integrated over depth. If used for a layer heat content, 
> coordinate bounds should be used to define the extent of the layers. If no 
> coordinate bounds are specified, it is assumed that the integral is 
> calculated over the entire vertical extent of the medium, e.g, if the medium 
> is sea water the integral is assumed to be calculated over the full depth of 
> the ocean.'
> This would be consistent with the text we recently agreed for 
> 'integral_wrt_depth|height' names. I have written out one name in full so 
> that we have an example:
> tendency_of_sea_water_potential_temperature_expressed_as_heat_content
> 'The phrase "tendency_of_X" means derivative of X with respect to time. This 
> tendency encompasses all processes that impact on the time changes for the 
> heat content within a grid cell. The phrase "expressed_as_heat_content" means 
> that this quantity is calculated as the specific heat capacity times density 
> of sea water multiplied by the potential temperature of the sea water in the 
> grid cell and integrated over depth. If used for a layer heat content, 
> coordinate bounds should be used to define the extent of the layers. If no 
> coordinate bounds are specified, it is assumed that the integral is 
> calculated over the entire vertical extent of the medium, e.g, if the medium 
> is sea water the integral is assumed to be calculated over the full depth of 
> the ocean. Potential temperature is the temperature a parcel of air or sea 
> water would have if moved adiabatically to sea level pressure.'
> 
> Okay?
> 
> I think we have agreed to create the following aliases:
> integral_wrt_depth_of_sea_water_potential_temperature_expressed_as_hea
> t_content -> sea_water_potential_temperature_expressed_as_heat_content
> integral_wrt_depth_of_sea_ice_temperature_expressed_as_heat_content -> 
> sea_ice_temperature_expressed_as_heat_content
> The text explaining 'integral_wrt_depth' would be removed from the 
> definitions and the amended 'expressed_as_heat_content' would take its place.
> 
> Okay?
> 
> Best wishes,
> Alison
> 
> ------
> Alison Pamment                                 Tel: +44 1235 778065
> NCAS/Centre for Environmental Data Archival    Email: 
> [email protected]
> STFC Rutherford Appleton Laboratory     
> R25, 2.22
> Harwell Oxford, Didcot, OX11 0QX, U.K.
> 
> -----Original Message-----
> From: CF-metadata <[email protected]> On Behalf Of 
> Jonathan Gregory
> Sent: 25 June 2018 19:06
> To: [email protected]
> Subject: Re: [CF-metadata] 
> tendency_of_sea_water_conservative_temperature_expressed_as_heat_conte
> nt units
> 
> Dear Martin
> 
> I agree with your suggestions and clarifications. It would be good to keep 
> "heat content" because it is widely understood (in the sense that we use it, 
> J m-2). I agree that "content" implies the amount of something per unit area 
> integrated over the vertical extent of something else. It's not used only for 
> mass content; we have a lot of energy content names too e.g.
>   thermal_energy_content_of_surface_snow
> and this last one suggests that maybe we could say "thermal energy" instead 
> of "sensible heat" in the name about rainfall temperature? (Sorry - that is a 
> hideous confusing of email threads by me.) In addition, we have enthalpy, 
> mole, number and radioactivity content names, all with the same sense.
> 
> Best wishes
> 
> Jonathan
> 
> ----- Forwarded message from Martin Juckes - UKRI STFC 
> <[email protected]> -----
> 
> > Date: Mon, 25 Jun 2018 13:06:26 +0000
> > From: Martin Juckes - UKRI STFC <[email protected]>
> > To: "[email protected]" <[email protected]>, 
> > "[email protected]" <[email protected]>
> > Subject: Re: [CF-metadata]
> > tendency_of_sea_water_conservative_temperature_expressed_as_heat_con
> > te
> > nt
> > units
> > 
> > Hello Jonathan,
> > 
> > 
> > I agree that the "integral_wrt_depth_" is a little surprising here, but I 
> > think it is better than saying temperature when we mean "temperature times 
> > thickness".
> > 
> > 
> > In any case, we have a term:
> > 
> > tendency_of_sea_water_potential_temperature_expressed_as_heat_conten
> > t
> > 
> > which is intended to be the tendency of 
> > integral_wrt_depth_of_sea_water_potential_temperature_expressed_as_heat_content,
> >  which doesn't look right. There should be consistency here -- either 
> > include "integral_wrt_depth_" in both cases, or exclude it in both cases.
> > 
> > 
> > When dealing with mass, the use of "content" in a standard name 
> > automatically implies a vertical integral, so we might get away without 
> > stating it explicitly here, but it is a slightly different usage. The 
> > current help text includes the remark that '"Content" indicates a quantity 
> > per unit area.', which I find a little cryptic: perhaps it could be 
> > expanded to : '"Content" indicates a quantity per unit area, integrated 
> > over height or depth.'
> > 
> > 
> > The text explaining "expressed_as_heat_content" could also be adjusted 
> > (currently: 'The phrase "expressed_as_heat_content" means that this 
> > quantity is calculated as the specific heat capacity times density of sea 
> > water multiplied by the conservative temperature of the sea water in the 
> > grid cell') to refer to the multiplication by thickness. 
> > "expressed_as_heat_content" is only used with sea water potential 
> > temperature and conservative temperature.  E.g.
> > 
> > 'The phrase "expressed_as_heat_content" means that this quantity is 
> > calculated as the specific heat capacity times density of sea water 
> > multiplied by the conservative temperature of the sea water in the grid 
> > cell and integrated over depth. If used for a layer heat content, 
> > coordinate bounds should be used to define the extent of the layers'.
> > 
> > With these modifications, I think we could justify staying with
> > 
> > tendency_of_sea_water_potential/conservative_temperature_expressed_a
> > s_ heat_content and dropping the  "integral _wrt_depth_" from
> > 
> > integral_wrt_depth_of_sea_water_potential_temperature_expressed_as_heat_content
> >  and integral_wrt_depth_of_sea_ice_temperature_expressed_as_heat_content 
> > (these are the only two terms which combine integral_wrt_depth and 
> > expressed_as_heat_content).
> > 
> > regards,
> > Martin
> > 
> > 
> > 
> > 
> > 
> > ________________________________
> > From: CF-metadata <[email protected]> on behalf of 
> > Jonathan Gregory <[email protected]>
> > Sent: 25 June 2018 10:57
> > To: [email protected]
> > Subject: Re: [CF-metadata]
> > tendency_of_sea_water_conservative_temperature_expressed_as_heat_con
> > te
> > nt units
> > 
> > Dear Alison and Steve
> > 
> > I suggest that we can be more relaxed about units for 
> > X_expressed_as_Y, so that X and Y don't have to be dimensionally 
> > equivalent. We can express the change in temperature of an ocean 
> > layer as a change in heat content by using the heat capacity - 
> > that's the idea of these names, and similarly for the names with 
> > tendency_of_sea_water_salinity_expressed_as_salt_content, which have 
> > the units (kg m-2 s-1) expected for a tendency in salt content, not 
> > a tendency in salinity (which would be s-1). It's useful to mention 
> > temperature (rather than heat content) because it allows us to specify 
> > whether we mean potential or conservative temperature.
> > 
> > I agree that we could insert integral_wrt_depth_of, for both set of names.
> > However this seems a bit surprising since the names are generally 
> > for 3D quantities. Each cell applies to one ocean layer. The 
> > "integral" is just the cell value multiplied by the cell thickness.
> > 
> > Best wishes
> > 
> > Jonathan
> > 
> > ----- Forwarded message from Alison Pamment - UKRI STFC 
> > <[email protected]> -----
> > 
> > > Date: Mon, 25 Jun 2018 09:28:28 +0000
> > > From: Alison Pamment - UKRI STFC <[email protected]>
> > > To: Stephen Griffies - NOAA Federal <[email protected]>
> > > CC: Martin Juckes - UKRI STFC <[email protected]>,
> > >        "[email protected]" <[email protected]>, Jonathan
> > >        Gregory <[email protected]>, Karl Taylor 
> > > <[email protected]>,
> > >        "Durack, Paul J." <[email protected]>
> > > Subject: Re:
> > >        
> > > tendency_of_sea_water_conservative_temperature_expressed_as_heat_content
> > >        units
> > >
> > > 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_c
> > > on
> > > tent 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_expresse
> > > d_ 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_c
> > > on
> > > tent 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_c
> > > on
> > > tent 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
> > >
> > 
> > ----- End forwarded message -----
> > _______________________________________________
> > CF-metadata mailing list
> > [email protected]
> > http://mailman.cgd.ucar.edu/mailman/listinfo/cf-metadata
> 
> ----- End forwarded message -----
> _______________________________________________
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