Introduction
It is generally accepted that in the accumulation areas of ice sheets the temperature of the firn at a depth 10 m is very close to the annual mean temperature of the air at screen level. This makes it possible to determine the latter temperature by one measurement in a bore hole. If, additionally, the vertical distribution of temperature and density is observed, it is possible to calculate the approximate annual temperature variation at the surface (Reference Koch and WegenerKoch and Wegener, 1930). At a depth of 10 m the annual variation of temperature is reduced to about 1% of the surface variation, i.e. no more than 0.5°C, which is less than the standard deviation of the annual mean at screen level. The variation at “Byrd station” is 0.8°C and at the South Pole it is 0.5°C (Reference PhillptPhillpot, 1967). Consequently this uncertainty can be neglected. The near-equality applies to those parts of the ice sheets in which the temperature rise in summer is not high enough to produce substantial melting near the surface and non-conductive heat transport downwards by infiltration and refreezing of melt water in the deeper layers. This region corresponds roughly to the parts enclosed by the isotherm of -6°C of the warmest month, Benson’s “dry now facies”, and that part of his “infiltration facies” in which the mean maximum of the warmest month does not exceed 0°C (Reference BensonBenson, 1962). It covers about half of the Greenland ice sheet and the greater part of the Antarctic ice sheet.
Shelter temperatures and surface temperatures
Evidently the 10 m temperature depends not upon the temperature at screen level but upon he temperature of the snow surface itself. They need not be identical. Considering annual means, the surface temperature can be higher than the screen temperature. This is the nomal condition over land where, during the hours of daylight, the strong absorption of soalr radiation raise, the temperature of the uppermost surface layers far beyond that of the air, whilst during the hours of darkness the surface cools relatively much less below the air temperature (Reference GeigerGeiger,.1961), It might be different if a snow cover present
First, the high reflective power of the snow leads to a smaller heat intake at the surface while the absorption of radiation by the air remains unchanged or might even be enhance during the repeated passage of the reflected radiational flux (Reference LoeweLoewe, 1963), Secondly, most of the incoming radiation absorbed by the snow is not retained at the surface itself but penetrates below the surface. Only part of this absorbed energy returns by convection and scattering to the surface; another fraction goes downwards. There are detailed studies of the termperature distribution above and below a snow surface (Reference GeigerGeiger,.1961); but for regions without substantial melting in summer very few series of simultaneous shelter and surface temperatures extending over a whole year, as needed for the purpose of comparing shelter and.10 m temperatures, seem to be available. It is also difficult to obtain reliable data for the surface temperature of a snow cover. In most cases the authors of the following results extrapolated the surface temperature from thermo-electrical measurements at a small distance above or, below the surface. The method of observation at the Soviet stations is not known.
Reference BensonBenson (1962). extrapolating from the first observations made in 1931 by Reference GeorgiGeorgi (1943) at Eismitte, found that the mean annual surface temperature there was 0.7° C lower than the temperature in the shelter, and at Site 2 it was 0.6 °C lower. At Maudheim the mean annual temperature at a height of 2.5 m is – 17.6 °C; at 0 m it is -18.0 °C (Reference LiljequistLiljequist, 1956–57). During the summer months, November to February, the temperatures at these heights are identical, - 7.1 °C; however, the 0 m temperatures are extrapolated from observations 5 to 10 cm above the surface and might not be quite correct (Reference BorgBerg, 1957). At “Little America V” (Reference HoinkesHoinkes, 1961) the surface temperature from April to Augst is about 1 deg lower than the temperature at a height of 2 m compared to 1.7 deg at Esimitte for the corresponding months (Reference GeorgiGeorgi, 1943). Reference RusinRusin (1961) has made extesive calculations of the difference between the temperature at 2 m and that at the surface for Antarctic stations. The available observations suggest that with decreasing temperature the surface gets increasingly colder than the shelter. This is clearly shown by surface temperatures given by Reference RusinRusin (1961) for the Soviet stations in east Antarctica (Table 1). Locations and heights of the stations are given in Tables III and IV.
(Rusin's table 16 shows that at Pionerskaya there are amazing temperature: differences between the monthly means at o cm and at 1 and 2 cm depth, but he has not stated how these observations were made ) At the South Pole (Reference DalrympleDalrymple, 1961), hourly observations of temperature for 170 gave the mean difference between the surface and, 2 m height for different temperature intervals as shown in Table II.
With lower temperature the surface temperature gels increasingly colder; this is corroborated by the fact that also between the shelter level and the level of the highest temperature the mean strength of the inversions increases with decreasing temperature (Reference LiljequistLiljequist, 1956–57) At Thule, Greenland, inversions starting from the surface are, from November to April, 2 ½ times stronger than from May to October (Reference BilelloBilello, 1966); the mean she ter temperature during these half years are -2°C and - 1°C, respectively. We can thus expect a similar difference between the mean annual temperatures in the shelter and those at, 10 m below the surface.
Shelter temperatures and 10 m temperatures
In the appropriate regions of the ice sheets. the 10 m temperatures normally decrease with increasing latitude and hight (Reference Bull, Bentley, Bentley, Cameron, Bull, Kojima and GowBull, 1964; Reference Mock and WeeksMock and Weeks, 1965, 1966). But there are cases where the firn temperature rises with increasing height (Reference TaylorTaylor, 1965; Reference Cameron, Cameron, Picciotto, Kane and GliozziCameron and others, 1968). These anomalous temperatures are found in regions with a substantial slope of the surface; and it is believed that the higher speed of the down-flowing wind near the surface and the resulting stronger turbulence lowers the level of the warm air above, produces stronger mixing and thus raises the temperature at shelter level and at the surface (Reference LiljequistLiljequist, 1956–57, fig. 21). If this explanation is accepted, the abnormally high 10 m temperatures are a consequence of the relatively warm temperature at and near the surface; they are not caused by an abnormal temperature difference between the shelter level and the surface.
If the 10 m temperatures are in face determined by the mean annual temperatures at the snow surface itself, the question arises as to how far they can be identified with the air temperature at shelter level, as is frequently done. Tables III and IV give the mean annual temperatures in the shelter and at a depth of 10 m and the difference shelter minus 10 m in Greenland and Antarctica for those places that are outside the region of substantial summer melt and for which data at both levels are available.
As the tables show, there are some uncertainties since the difference authors do not completely agree. In Greenland, with the exception of the lowest stations (Camp Century and Site 2), the air temperatures are markedly lower than the temperatures at depths of 8 and 10 m. The reason for this is not clear. The supply of geothermal and frictional heat from below is insignificant. It is very doubtful whether a very recent warm period could be the cause. But the sense of the difference corresponds to that found at the South Pole (Table II) for the same temperatures (> - 40°C). The relative warmth of the firn might possibly have something to do with the fact that the accumulation, at Eismitte and Station Centrale (33 cm water equivalent), falls mostly with temperatures which exceed the average temperature considerably. At Eismitte, in cases of strong snowfall, the temperature is 6°C higher than on the preceding day (Lower, 1935).
The conditions in Antarctica are different from those of the Greenland ice sheet. At annual means warmer than -30°C the difference between the temperature at shelter level and at a depth of 10 m is small. At colder places the temperature of the firn drops increasingly below that at the height of the screen. At the coldest station. “Plateau”, the 10 m temperature is almost 4°C lower than the screen temperature. The difference is, however, much bigger than at the similarly situated station Vostok. It can be expected that the deficit of the 10 m temperature increases with lower temperatures, because many observations show that the inversions of temperature from a m upwards get stronger with lower temperature (Reference LiljequistLiljequist, 1956–57; Reference BilelloBilello, 1966) and the same is likely to occur between the surface and 2 m a so. The collation between the mean temperature at the seven coldest Antarctic stations and the temperature deficit of the 10 m temperatures is of the order of 0.7; but it must be conceded that the very big deficit of the coldest station, “Plateau”, contributes very strongly to If only regions of insignificant melting are considered, it still appears established that in the interior of the Greenland ice sheet the temperatures at a depth of 10 m are mostly higher than at shelter level. On the Antarctic ice sheet and on the ice shelves down to a mean annual temperature of -30°C, the temperature at a depth of 10 m is similar to the annual mean in the meteorological screen. In colder regions the, 10 m temperature is systematically colder than the air at 2 m height. The difference increases by about 1°C for a drop of the mean temperature of 10°C This difference might be taken into account if temperatures at a depth of 10 m are used to derive the mean annual temperatures of the air near the surface m the interior of the Antarctic continent.