Dear Jonathan and Roy,

Many thanks for your replies to this thread. Apologies, Roy, for missing your 
previous explanation about mean sea level in the thread about standard names 
for trac ticket 143. It seems that both discussions are converging on the same 
view that we should explicitly say 'mean_sea_level' in standard names where 
that is really the intention, rather than confining it to the definition. 
Therefore, I think this change is agreed for both existing and new names.

In this thread we seem to have reached agreement that the general definition of 
mean_sea_level should be:
' "Mean sea level" means the time mean of sea surface elevation at a given 
location over an arbitrary period sufficient to eliminate the tidal signals.' 
In the case of names for either local or global mean changes in mean_sea_level 
we would add the additional sentence 'Zero mean sea level change is an 
arbitrary level.'

For Jonathan's three newly proposed names in this thread, I think this leaves 
us with:

thermosteric_change_in_mean_sea_level (m)
'Thermosteric sea level change is the part caused by change in sea water 
density due to change in temperature i.e. thermal expansion. "Mean sea level" 
means the time mean of sea surface elevation at a given location over an 
arbitrary period sufficient to eliminate the tidal signals. Zero mean sea level 
change is an arbitrary level. The sum of the quantities with standard names 
thermosteric_change_in_mean_sea_level and halosteric_change_in_mean_sea_level  
has the standard name steric_change_in_mean_sea_level.'

halosteric_change_in_mean_sea_level (m)
'Halosteric sea level change is the part caused by change in sea water density 
due to change in salinity. "Mean sea level" means the time mean of sea surface 
elevation at a given location over an arbitrary period sufficient to eliminate 
the tidal signals. Zero mean sea level change is an arbitrary level. The sum of 
the quantities with standard names thermosteric_change_in_mean_sea_level and 
halosteric_change_in_mean_sea_level  has the standard name 
steric_change_in_mean_sea_level.'

steric_change_in_mean_sea_level (m)
'Steric sea level change is caused by changes in sea water density due to 
changes in temperature (thermosteric) and salinity (halosteric). "Mean sea 
level" means the time mean of sea surface elevation at a given location over an 
arbitrary period sufficient to eliminate the tidal signals. Zero mean sea level 
change is an arbitrary level. The sum of the quantities with standard names 
thermosteric_change_in_mean_sea_level and halosteric_change_in_mean_sea_level  
has the standard name steric_change_in_mean_sea_level.'

Okay?

The change to using mean_sea_level, rather than simply sea_level means that the 
following aliases need to be created:

sea_floor_depth_below_sea_level -> sea_floor_depth_below_mean_sea_level

sea_surface_height_above_sea_level -> sea_surface_height_above_mean_sea_level

surface_geostrophic_eastward_sea_water_velocity_assuming_sea_level_for_geoid -> 
surface_geostrophic_eastward_sea_water_velocity_assuming_mean_sea_level_for_geoid

surface_geostrophic_northward_sea_water_velocity_assuming_sea_level_for_geoid 
-> 
surface_geostrophic_northward_sea_water_velocity_assuming_mean_sea_level_for_geoid

surface_geostrophic_sea_water_x_velocity_assuming_sea_level_for_geoid -> 
surface_geostrophic_sea_water_x_velocity_assuming_mean_sea_level_for_geoid

surface_geostrophic_sea_water_y_velocity_assuming_sea_level_for_geoid -> 
surface_geostrophic_sea_water_y_velocity_assuming_mean_sea_level_for_geoid

tendency_of_sea_surface_height_above_sea_level -> 
tendency_of_sea_surface_height_above_mean_sea_level

air_pressure_at_sea_level -> air_pressure_at_mean_sea_level

For all of these names the definitions would be unchanged except we would 
replace 'sea_level means mean sea level, which is close to the geoid in sea 
areas' with '"Mean sea level" means the time mean of sea surface elevation at a 
given location over an arbitrary period sufficient to eliminate the tidal 
signals.' Okay?

Roy was concerned about the syntax used in the existing names:
global_average_steric_sea_level_change
global_average_sea_level_change
global_average_thermosteric_sea_level_change
phase_of_global_average_sea_level_change
tendency_of_global_average_sea_level_change
amplitude_of_global_average_sea_level_change
Jonathan has pointed out that 'average' here refers to a global (i.e spatial) 
average/mean which is distinct from the time mean used to calculate local 
mean_sea_level. I'm leaning towards keeping 'global_average' in the names 
themselves. I think the use of different terminology helps to underline 
Jonathan's point that global_average_thermosteric_sea_level_change is not 
simply the global mean of thermosteric_change_in_mean_sea_level, which is very 
important to interpreting these names correctly. Certainly I think the order of 
the syntax is correct for these quantities (the mean/average definitely belongs 
with the 'global'). However, I do think there is room to improve the 
defintions. In fact, I would go so far as to say 'N.B. Global average sea level 
change should NOT be understood as the global spatial mean of local changes in 
mean sea level!' should be the first sentence in all the definitions.

Currently the definition of global_average_sea_level_change reads:
'Global average sea level change is due to change in volume of the water in the 
ocean, caused by mass and/or density change, or to change in the volume of the 
ocean basins, caused by tectonics etc. It is sometimes called "eustatic", which 
is a term that also has other definitions. It differs from the change in the 
global average sea surface height relative to the centre of the Earth by the 
global average vertical movement of the ocean floor. Zero sea level change is 
an arbitrary level.'

With the addition of the health warning above, I think this text is a good 
basis for use in all the names. I suggest amended definitions as listed below, 
in which I have also tried to make the wording describing steric changes match 
as closely as possible that used in Jonathan's three new names.

global_average_sea_level_change (m)
'N.B. Global average sea level change should NOT be understood as the global 
spatial mean of local changes in mean sea level! Global average sea level 
change is due to change in volume of the water in the ocean, caused by mass 
and/or density change, or to change in the volume of the ocean basins, caused 
by tectonics etc. It is sometimes called "eustatic", which is a term that also 
has other definitions. It differs from the change in the global average sea 
surface height relative to the centre of the Earth by the global average 
vertical movement of the ocean floor. Zero sea level change is an arbitrary 
level.'

tendency_of_global_average_sea_level_change (m year-1)
'N.B. Global average sea level change should NOT be understood as the global 
spatial mean of local changes in mean sea level! Global average sea level 
change is due to change in volume of the water in the ocean, caused by mass 
and/or density change, or to change in the volume of the ocean basins, caused 
by tectonics etc. It is sometimes called "eustatic", which is a term that also 
has other definitions. It differs from the change in the global average sea 
surface height relative to the centre of the Earth by the global average 
vertical movement of the ocean floor. Zero sea level change is an arbitrary 
level. "tendency_of_X" means derivative of X with respect to time.'

amplitude_of_global_average_sea_level_change
'N.B. Global average sea level change should NOT be understood as the global 
spatial mean of local changes in mean sea level! Global average sea level 
change is due to change in volume of the water in the ocean, caused by mass 
and/or density change, or to change in the volume of the ocean basins, caused 
by tectonics etc. It is sometimes called "eustatic", which is a term that also 
has other definitions. It differs from the change in the global average sea 
surface height relative to the centre of the Earth by the global average 
vertical movement of the ocean floor. Zero sea level change is an arbitrary 
level. Amplitude is the magnitude of a wave modelled by a sinusoidal function. 
A coordinate variable of harmonic_period should be used to specify the period 
of the sinusoidal wave.'

phase_of_global_average_sea_level_change (degree)
'N.B. Global average sea level change should NOT be understood as the global 
spatial mean of local changes in mean sea level! Global average sea level 
change is due to change in volume of the water in the ocean, caused by mass 
and/or density change, or to change in the volume of the ocean basins, caused 
by tectonics etc. It is sometimes called "eustatic", which is a term that also 
has other definitions. It differs from the change in the global average sea 
surface height relative to the centre of the Earth by the global average 
vertical movement of the ocean floor. Zero sea level change is an arbitrary 
level. Phase is the initial angle of a wave modelled by a sinusoidal function. 
A coordinate variable of harmonic_period should be used to specify the period 
of the sinusoidal wave.'

global_average_steric_sea_level_change (m)
'N.B. Global average sea level change should NOT be understood as the global 
spatial mean of local changes in mean sea level! Global average steric sea 
level change is caused by changes in sea water density due to changes in 
temperature (thermosteric) and salinity (halosteric). This changes the volume 
of water in the ocean. Zero sea level change is an arbitrary level.'

global_average_thermosteric_sea_level_change (m)
'N.B. Global average sea level change should NOT be understood as the global 
spatial mean of local changes in mean sea level! Global average thermosteric 
sea level change is the part caused by change in sea water density due to 
change in temperature i.e. thermal expansion. This changes the volume of water 
in the ocean. Zero sea level change is an arbitrary level.'

What do you think of these?

I hope I've managed to cover all the points raised in this discussion :)

Best wishes,
Alison

------
Alison Pamment                                                       Tel: +44 
1235 778065
Centre for Environmental Data Analysis         Email: alison.pamm...@stfc.ac.uk
STFC Rutherford Appleton Laboratory     
R25, 2.22
Harwell Campus, Didcot, OX11 0QX, U.K.


From: CF-metadata [mailto:cf-metadata-boun...@cgd.ucar.edu] On Behalf Of Lowry, 
Roy K.
Sent: 14 June 2017 17:40
To: Jonathan Gregory; cf-metadata@cgd.ucar.edu
Subject: Re: [CF-metadata] Standard names for mean sea level change

Dear Jonathan,

I'm OK with losing the 'principal'. I know what I mean by that, but there are 
some (many) who might not!

Cheers, Roy.

Please note that I partially retired on 01/11/2015. I am now only working 7.5 
hours a week and can only guarantee e-mail response on Wednesdays, my day in 
the office. All vocabulary queries should be sent to enquir...@bodc.ac.uk. 
Please also use this e-mail if your requirement is urgent.

________________________________________
From: CF-metadata <cf-metadata-boun...@cgd.ucar.edu> on behalf of Jonathan 
Gregory <j.m.greg...@reading.ac.uk>
Sent: 14 June 2017 16:58
To: cf-metadata@cgd.ucar.edu
Subject: Re: [CF-metadata] Standard names for mean sea level change 
 
Dear Roy and Alison

> To clarify, what I was getting at with the rationalisation of syntax was 
> mixed use of 'average' and 'mean' for the same statistic and the fact that 
> the names are opposite ways around. For example, instead of 
> thermosteric_change_in_mean_sea_level and 
> global_average_thermosteric_sea_level_change why not have 
> average_thermosteric_sea_level_change and 
> global_average_thermosteric_sea_level_change (possibly with all averages 
> changed to means)?

The use of "average" rather than "mean" (my choice, I admit) was made to avoid
confusion with "mean sea level". However if we're introducing "mean" now anyway
I wouldn't mind changing "average" to "mean", since "mean" is more common.
However, there is some subtlety and potential for confusion still!

global_mean_[thermosteric_]sea_level_change is not the [thermosteric] change in
global mean sea level, because there is no such quantity as "global mean sea
level" without "change".  The "mean" here means a spatial average. Moreover,
you don't necessarily calculate these global quantities as a global mean of
local quantities, because they really refer to change in the volume of the
world ocean, divided by world ocean surface area. If they were really spatial
means, we could use cell_methods to describe them instead of distinct standard
names.

thermosteric_change_in_mean_sea_level is the thermosteric change in (local)
mean sea level. The "mean" here means a temporal average.

> Finally, thinking about it my concerns about these new names being abused 
> could be alleviated by the following definition:
> 
> "Mean sea level" means the time mean of sea surface elevation at a given 
> location over an arbitrary period sufficient to eliminate the principal tidal 
> signal. Zero mean sea level change is an arbitrary level.

That is fine with me, especially if it alleviates Roy's concerns. I would
slightly prefer "tidal signals" instead of "principal tidal signal". Roy is
quite right that climate models don't usually have tides anyway. For precision
in the real world it is essential to specify a particular geopotential datum,
since MSL is vague. Nonetheless "above MSL" is a commonly used phrase.

Best wishes

Jonathan
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