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The IFS multi-layer snow model uses up to five layers to represent the snowpack and the complex heat fluxes and interactions between them. It represents the vertical structure and evolution of snow temperature, snow mass, density, and liquid water content in each layer. The energy flux at the top of the snowpack is the balance of the upward and downward energy fluxes at the snow surface including the effect of any snow evaporation. Albedo and surface fluxes vary according to the snow extent, depth and ground coverage (with account taken of trees in areas of forest), and age of the snow. Heat flux from the underlying ground is also incorporated. The fluxes are illustrated and explained in Figs2144.A, 2144.B, 2144.CFig2.1.4.4-1, Fig2.1.4.4-2, Fig2.1.4.4-3.
The multi-layer snow model has a fairly realistic representation of the vertical density and temperature profiles of the snowpack which allows a good representation of its thermal properties.
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- for snow depth <12.5cm only only one snow layer is modelled (Fig2144.AFig2.1.4.4-1). Note: Partial cover of the 'tile' is assumed if snow depth is less than 10cm.
- for snow depth >12.5cm the number of snow layers varies up to a maximum of 5 layers according to the total snow depth (Fig2144.BFig2.1.4.4-2).
- permanent snow is defined as snow water equivalent >= 10m with 5 snow layers (Fig2144.CFig2.1.4.4-3).
Fig2144.AFig2.1.4.4-1: Schematic representation of the multi-layer snow scheme. Shallow snow layer. Snow depth <12.5cm. (Note: Snow depth < 10cm implies only a partial cover of snow)
Fig2144.BFig2.1.4.4-2: Schematic representation of the multi-layer snow scheme. Deep snow. Snow depth >27.5cm. Any additional snow accumulation is added into the fourth snow layer in order to preserve the characteristics and thermal flux qualities of thinner layers at base and top of the snowpack. For snow depths between 12.5cm and 27.5cm additional snow is added proportionately to the layers as they are introduced.
Fig2144.CFig2.1.4.4-3: Schematic representation of the multi-layer snow scheme for permanent snow (e.g. Greenland, Antarctica) and for glaciers. Snow depth is defined as ≥10m. Any additional snow accumulation is added into the fifth snow layer in order to preserve the characteristics and thermal flux qualities of thinner layers at the top of the snowpack.
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rsnow | Conductive resistance between exposed snow and atmosphere | |||
rforest | Conductive resistance between forest snow and atmosphere | |||
KS | Downward short wave radiation | Ti | Temperature of snow layer i | |
LS | Downward long wave radiation | ρi | Density of snow layer i | |
HS | Sensible heat flux | Si | Mass of frozen water in snow layer i | |
ES | Latent heat flux | Wi | Mass of liquid water in snow layer i | |
RS | Net (precipitation and evaporation) water flux at the surface | di | depth of I-layer in the snowpack | |
aS | Albedo of exposed snow | Ki | Short wave radiation between snow layers I and I+1 | |
aF | Albedo of forest snow | Gi | Conductive heat flux between snow layers I and I+1 | |
Ri | Liquid water flux between snow layers I and I+1 | |||
TSO | Temperature of uppermost soil layer | GB | Conductive heat flux at snow-soil surface | |
WSO | Liquid water of uppermost soil layer | KB | Short wave radiation at snow-soil surface | |
dSO | Depth of uppermost soil layer | RB | Liquid water flux at snow-soil surface | |
rsoil | Conductive resistance between snow and soil |
Table2144.ATable2.1.4.4-1: List of symbols for parameters shown in Figs2144.A, 2144.B, 2144.CFig2.1.4.4-1, Fig2.1.4.4-2, Fig2.1.4.4-3.
Vertical discretisation over complex terrain areas:
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In permanent snow areas (e.g. Greenland, Antarctica and glaciers) a fixed snow layering it is used. The top four layers (counting from the one in contact with the atmosphere) have a constant depths of 50 cm, whereas any additional snow accumulation is added into the bottom layer (Fig2144.C(Fig2.1.4.4-3).
Sea ice:
There is no representation of snow on top of sea ice or ice on lakes. Snow cover on ice acts to increase its persistence by increasing the albedo and reducing the heat flux into the modelled ice. Thin sea ice or lake ice covered by thin snow grows or melts much faster than does thick ice with deep snow.
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The snow depth in the model changes when fresh snow falls or when snow on the ground melts, evaporates or is compressed. The response in dry periods at different altitudes is shown in Fig2144.HFig2.1.4.4-8.
Fresh snowfall is added to the top layer, with a new snow density depending on air temperature and wind speed. Melted snow is removed from the top layer. The snow mass is then redistributed across the different layers but relatively shallow layers of snow are maintained at the top and at the base so that the atmosphere/snow and soil/snow heat fluxes can be best modelled.
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- the snow depth is defined as 10m of water equivalent.
- there is a fixed snow density for all 5 layers.
- the depth of each of the upper four layers is 0.50m; fresh snowfall is added the bottom layer (i.e. layer 5 is used as an accumulation layer). See Fig2144.CFig2.1.4.4-3.
It is common for snow depth to be extremely high at grid points within these areas of permanent snow .
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- Total snow cover is assumed where snow depth is diagnosed as >10cm. Only snow or forest snow "tiles" are used by HTESSEL.
- Partial snow cover is assumed where snow depth is diagnosed as <10cm. A snow water equivalent of 6cm is considered to be associated with 60% snow cover (Fig2144.FFig2.1.4.4-6). Other "tiles" which describe the location are used by HTESSEL in addition to the snow or forest snow "tiles".
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- an Optimal Interpolation method which adjusts the model-analysed snow water equivalent and snow density prognostic variables.
- conventional measurements of snow depth (from SYNOP and other national networks) with additional national snow depth observations, particularly in Europe and North America. These are generally an important and reliable source of information. However, snow depth observations from many other regions of the world remain unavailable to IFS. Thick hoar frost (which can look like a dusting of snow) can be mis-reported as very shallow snow. This can be assimilated by the model despite no supporting evidence from other sources.
- snow extent data from the NOAA/NESDIS Interactive Multi-sensor Snow and Ice Mapping System (IMS). This combines satellite visible and microwave data with weather station reports to give snow cover information and sea ice extent over the northern hemisphere at 4km resolution. There is some manual intervention and quality control. The IMS product only shows where at least 50% of the grid cell is covered by snow and is converted to snow depths using relationships shown in Fig2144.F and Fig2144.G Fig2.1.4.4-6 and Fig2.1.4.4-7. IMS data is not currently used by the IFS at altitudes above 1500m.
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At high levels (altitudes >1500m) IMS data is not used and observations of snow depth are sparse or non-existent. In these cases snow depth prediction depends only upon the short range IFS evolution. Thus there can be little or no decrease in snow water equivalent (if it remains cold enough), though an increase after further forecast or actual snowfalls. Snow depths may also reduce because the density of the snow tends to increase with time through compaction in the model (and also in reality). Snow depths in such regions rise in response to forecast snowfall but may not decrease sufficiently at other times (See example in Fig2144.D, Fig2144.HFig2.1.4.4-4, Fig2.1.4.4-8).
Lake ice and sea ice do not have snow cover in the model.
Fig2144.DFig2.1.4.4-4:. Weather station at Røldalsfjellet (Norway). The temperature sensor is mounted at 5m above the ground (left picture) to allow sufficient clearance beneath the sensor with high snow accumulation (right picture). Photos:MET Norway.
Fig2144.EFig2.1.4.4-5: Snow depth (cm) and sea-ice cover (%) in the high resolution forecast (HRES). DT 12UTC 07 Feb 2023 T+00. Note frozen lakes (e.g. NW Russia, north Caspian Sea, Uzbekistan) are also plotted as "sea ice". FLake represents or generates ice on coastal or inland water.
Fig2144.FFig2.1.4.4-6: Conversion of background and forecast snow water equivalents to snow cover. Forecast snow water equivalents of 10cm or greater are considered as associated with full cover of snow on the ground; snow water equivalent of 5cm is considered to be associated with half cover.
Fig2144.GFig2.1.4.4-7: Conversion of IMS information into an estimate of snow water equivalent for data assimilation. IMS delivers binary information on the presence of snow for each grid cell but does not give information on snow depth.
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IMS strongly impacts upon any updates to the background snow depth field. Only if both IMS and background fields indicate snow is the IMS information not used.
Fig2144.HFig2.1.4.4-8: Forecast snow water equivalent at high level stations (blue) and low level stations (red) during the winter of 2019/20.
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Snow temperature considerations
- Variation in the surface reflectance (snow-albedo) can influence surface heat flux and skin temperatures (by 1°C-4°C). Fresh (white) snow has high albedo reflecting much of the incoming radiation. Dirty or older (greyer) snow absorbs more radiation with greater heat flux into the snowpack. The sun's elevation at high latitudes is limited (and non-existent in winter) which reduces the availability of solar radiation to the snow surface.
- Snow surfaces are likely to melt a little more readily in forests as the heat flux at the snow/atmosphere interface is rather larger than with exposed snow.
- Phase changes can cause a delay in warming during melting or sublimation of snow. In IFS, airborne snow tends to sublimate much more readily than the undisturbed snow on the ground.
- If ground surface temperatures are above 0°C, shallow surface snow often takes too long to melt. This can have an adverse impact on albedo and radiation fluxes.
- Thermal properties of the snow can cause heat and moisture transfers to be effectively de-coupled. Snow, especially new dry snow, is a good thermal insulator.
- Snow depths may reduce gradually because the density of the snow has increased through compaction in the model (and also in reality) as the days progress.
Forest snow night time temperatures fall too low. Even if the forest is dominant, the vertical interpolation to evaluate T2m is done as for an exposed snow tile (because verifying SYNOP stations are always in a clearing). In reality, forest generatedturbulence maintains turbulent exchange over the clearing and prevents extreme cooling.
- Forecast 2m temperatures over deep snow:
- have good agreement with observations between −15°C and 0°C.
- tend to be too warm by around 3-5°C compared to observations when T2m <-15°C. Large night time errors of forecast temperatures, even by as much as 10°C too warm, are more likely under clear skies, even when this has been correctly simulated by the model.
- have a relatively constant cold bias during the day of ~1.5°C compared to observations.
- the amplitude of the forecast diurnal cycle of T2m underestimates the amplitude of the observed diurnal cycle by between ~10% to 30%. Forecast minima tend to be warmer and daytime maxima colder than observations.
- verification of temperatures can be difficult. This is due to variations in the height that temperature observations are made. Some countries and locations:
- maintain the sensors 2m above the snow surface, adjusted after every fall of snow.
- have sensors higher than 2m above the ground to ensure measurement of air temperature throughout the year even after large accumulations of snow. High snow depths in late winter mean a short distance between snow surface and the sensor, while the sensor will be in a greater distance than usual to the ground surface during the warm period of the year. See Fig2144.DFig2.1.4.4-4
Snow depth and coverage considerations
- The smooth nature of the snow surface can cause momentum fluxes to be decoupled and winds increase in the absence of friction.
- Strong winds can alter snow depth and snow compaction. Transport of snow can bring areas of drifting with snow compaction and associated increase in density. This can be particularly effective for polar snow, where snow temperature is extremely low throughout the winter and compaction due to other processes is limited. Conversely, strong winds can carry away dry surface snow and reduce snow depth in exposed areas. The user should consider this effect in periods of strong winds or in generally windy regions.
- Bias in snow depths:
- Short-range snow depth forecasts, when compared with independent observations, on average show high quality but with a slight overestimation of snow depth in the background and analysis fields.
- There is a tendency towards underestimation of snow depth in central Eurasia implying either melting or compaction is overestimated for these forested areas.
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