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Energy flux density estimation over sea ice based on satellite passive microwave measurements

Published online by Cambridge University Press:  20 January 2017

Konrad Steffen*
Affiliation:
Cooperative Institute for Research in Environmental Sciences, University of Colorado, Campus Box 216, Boulder, CO 80309, U.S.A.
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Abstract

This paper discusses in detail the energy flux density estimation at the ice/atmosphere interface over the entire North Water region, based on the ice-type distribution during the winter (1978/79 to 1985/86). The analysis is based on passive microwave measurements of the scanning multichannel microwave radiometer (SMMR) onboard the Nimbus 7 satellite. Based on the relation of increasing polarization ratio (18 or 37 GHz) with decreasing ice thickness, a threshold technique was applied to classify the different young ice types. The polarization ratio method seems feasible for climatological applications, such as energy flux density estimations, over large areas with homogeneous young ice. More than 20% young ice (<0.3m) was found in the North Water area (100,000 km2) throughout most winters, with maximal values of 60% and more, and only a few percent of open water were classified. In general, the young ice cover in the North Water was decreasing towards the end of the winter. The mean energy loss for the entire North Water region was found to be 77 W m−2 for the months of November to March. Considering an energy supply by refreezing of 38 W m−2, the remaining 39 W m−2 must be withdrawn from the enthalpy in the sea water.

Type
Research Article
Copyright
Copyright © International Glaciological Society 1991

Introduction

One of the largest polynyas in the northern hemisphere, if not the largest one, is situated in the North American Arctic between Greenland on the east and the Canadian islands, Ellesmere and Devon, on the west (Fig. 1 ). In this region, generally known as the North Water, the sea surface does not show an homogeneous ice cover during winter and spring months, as one might expect from the climate conditions in such northern latitudes. On the contrary, an area of loose pack ice is found, formed by the three boundary polynyas of Smith Sound, Lady Ann Strait and Lancaster Sound/ Barrow Strait (Steffen, Reference Steffen1985). To the north, in the narrowest point between Greenland and Canada at 79�N, the area is bounded by a fast-ice arch. The southern boundary cannot be defined clearly as the pack ice in the North Water is constantly drifting southward. North Water covers an area of approximately 100,000 km2, which is dominated by close pack ice (ice concentration 7/10 to 8/10) with open water and thin-ice areas found in leads and the three polynyas in Lancaster Sound, Smith Sound, and Lady Ann Strait throughout winter.

During 1972 to 1981 this area was the focal point of a glacio-climatological expedition aimed at investigating the climatological influence of the North Water on its surroundings. For this reason, during the intensive phase of the project (1972-81), three stations, Coburg Island at

Fig. 1. Map of the North Water area with flight-lines.

the entrance of Jones Sound to Baffin Bay, Carey Islands in the northern Baffin Bay, and Cape Herschel on Ellesmere Island in the northern part of Smith Sound, were manned throughout the year. During this phase, and the subsequent field activities during the summer months until 1981, a number of climatological, glaciological and aerological measurements was carried out. The analysis of the station data showed the uniqueness of the climate of northern Baffin Bay, primarily because of the existence of North Water, which is reflected most clearly in the air temperature. Temperatures at the Carey Islands remained higher than at any station during winter. The mean temperature during mid-winter, between December and March, was −23.0°C in 1972-73 and −17.5°C in 1973-74. These values are 3 to 10−C higher than at the stations on the periphery of the North Water and 10 to 15°C higher than at other weather stations in the Canadian Arctic Archipelago. This extremely high winter temperature is evidently due to the convergence of sensible heat released from the surface of the polynyas.

Since no detailed information was available on ice conditions and the extent of open water during winter, radiometric measurements of the sea surface had been taken along 2650 km of flight-lines from 300 m in altitude. From November to March 1978-79 and 1980-81, 14 remote sensing flights were carried out using a precision radiation themometer (Barnes PRT-5), in the spectral band 9.5 to 11.5μm, to measure the surface temperature along the flight profile (Steffen, Reference Steffen1986). However, ice type and concentrations were never derived for the entire North Water area throughout winter, which is the subject of this analysis.

With the launch of the Nimbus 7 scanning multi-frequency microwave radiometer (SMMR) in 1976, the Arctic Ocean surface could be monitored for the first time at different frequencies and polarizations throughout the polar night (Cavalieri and others, Reference Cavalieri and Campbell1984; Comiso, Reference Comiso1986; Gloerson and Cavalieri, Reference Cavalieri and Wilheit Jr.1986; Parkinson and others, Reference Parkinson, Comiso, Zwally, Cavalieri and Campbell1987). The ability of SMMR to acquire imagery of the Earth’s surface in most weather and under all lighting conditions makes SMMR particularly useful for sea-ice studies in polar regions. Based on a multi-frequency algorithm using 18 and 37 GHz at vertical and horizontal polarizations, ice concentrations during winter and spring can be derived with a mean difference of 2.5% (compared to Landsat ice concentration) and a standard deviation of 6.4% using the NASA-Team algorithm with global tie points (Steffen and Schweiger, unpublished). For the North Water area, the knowledge of the ice-type distribution is important for determining large-scale heat input at the ice-atmosphere boundary. Despite the extremely rapid decrease in energy exchange rates as ice forms in open water, young ice with a thickness of 0.3 m still has a net heat loss an order of magnitude larger than that of thick first-year ice (Maykut, Reference Maykut1978). The snow cover on sea ice has an insulation effect on conduction. However, recent measurements by Crocker (Reference Crocker1984) have shown that the snow cover overlying young ice contains large quantities of salt which increases the thermal conductivity of the snow by up to 50%. In the North Water region, the snow cover on young ice, nilas and new ice usually does not exceed 20 mm in thickness (Steffen, Reference Steffen1986) and, therefore, the insulation effect of the snow is negligible. For surface energy flux density estimates over polynyas, the percentage of open water and young ice types such as nilas (0-0.1 m) and grey to grey-white ice (0.1-0.3 m) are of prime interest.

In the following, a method will be proposed to classify the above-mentioned ice types based on passive micro-wave satellite measurements. The study area for which the ice-type classification and the corresponding energy flux density estimation was carried out is delineated by longitude 70°W and 80°W and parallels 72°N and 80°N. The ocean surface in this area comprises approximately 100,000 km2.

Method

Ice typing

Microwave scattering by sea ice is due to the inhomogeneity of density and structure variations, whereas microwave absorption is determined mainly by the presence of liquid inclusions (brine volume). The relation-ships between the vertically-polarized brightness temperatures and sea-ice properties such as brine volume or porosity are well known (Mätzler, Reference Ramseier and Svendsen.1984), whereas the horizontally-polarized brightness temperature is sensitive to surface roughness. In a previous study, it was found that the polarization ratio at 18 and 37 GHz increases with decreasing ice thickness (Steffen and Maslanik, Reference Steffen and Maslanik1988). The polarization ratio is defined as

(1)

where PRfq is the polarization ratio at frequency fq, TB(H,fq) and TB(H,fq) are observed brightness temperatures at frequency fq and vertical or horizontal polarization. In that study, ice types such as white ice (WI: >0.3m thickness), grey and grey-white ice (GI: 0.1 to 0.3 m thickness), nilas (NI: < 0.1 m thickness) and open water (OW) were determined visually from Landsat multispectral scanner band 7 (near infrared, 8001100 nm) imagery for the North Water area, and plotted versus the PR of 18 and 37 GHz (Fig. 2). The comparison was made for 260 SMMR grid cells (25 by 25 km) of the North Water pack ice in spring 1981, for which 100% of the above specified ice types occurred. The decrease of PR

Fig. 2. Passive microwave SMMR polarization ratios ( ± standard deviation) at 18 and 37 GHz, derived by intercomparison with Landsat imagery for white ice (WI), grey icegrey-white ice (GI), nilas (NI) and open water (OW).

with increasing ice thickness could be the result of the reduction in brine volume when the ice becomes thicker and colder; in other words, the sensitivity of the vertically-polarized brightness temperature to the decrease in salinity. Large variabilities of horizontal polarization are caused by surface roughness on a small scale (Mätzler, Reference Ramseier and Svendsen.1984), However, by averaging over a large area (one SMMR pixel), the scatter may be smeared out, and the average value resulting from the thin snow cover and the young ice in the North Water may not be influenced by the disturbing effect.

The standard deviations of open water, nilas and grey ice do not overlap for 18 GHz, indicating that a classification of these ice types based on satellite-derived PR may be possible over fully-consolidated ice (Fig. 2). For grey ice and white ice the standard deviations at the same frequency show a small overlap. For 37 GHz, only water and nilas can be classified using the PR method with a certain degree of confidence; white ice, grey ice and, to some degree, nilas show a considerable overlap of the PR standard deviations. The larger standard deviation at 37 GHz, compared to 18 GHz, could be explained by the larger sensitivity of 37 GHz to water vapour; microwave absorption and zenith opacity is three times more sensitive to water vapour at 37 GHz compared to 18 GHz (Walters, 1976). The standard deviations of open water show a broad range that can be explained by the presence of small ice floes not resolved in the Landsat imagery and by the brightness temperature change due to wind-induced spray and foam on the ocean surface.

Similar PR values for the above-mentioned ice types were reported by Cavalieri and others (Reference Cavalieri and Wilheit Jr.1986) for aircraft measurements in the Bering Sea and by Grenfell (Reference Grenfell1986) for ground-based measurements from the Greenland Sea. Radiometric observations of sea-ice growth in a tank also showed a decrease of PR with increasing ice thickness. However, the PR reached a limiting value when ice thickness was 20 to 25 mm at air temperatures between −2° to −15°C (Grenfell and Comiso, Reference Comiso1986). Their study also showed significant changes in PR even though the ice thickness was nearly the same, while the air temperature changed by several degrees. For the North Water sea ice, brine volume is assumed to be higher than during the Grenfell and Comiso tank experiment due to the lower air temperatures of −20° to −30°C, resulting in a larger difference between horizontally- and vertically-polarized brightness temperatures.

Based on the relation of increasing polarization ratio with decreasing ice thickness, as verified with the Landsat comparison for the North Water area, a threshold technique was applied to classify the different ice types. For the ice typing presented in this paper, the following PR values were used for 18 and 37 GHz:

The 18 GHz is less affected by water vapour (see the smaller standard deviation in Figure 2) and, therefore, is preferable for applications over polynyas with large amounts of low level clouds due to extensive latent energy flux density. However, the SMMR pixel at 18 GHz has a field of view of 60 by 60 km, which represents only 50% of the actual power received by the radiometer. The 37 GHz frequency has a field of view of approximately 25 by 25 km, which seems more realistic for young ice classification in polynyas. In the following analysis, the 37 GHz PR were used for ice-type classification despite the larger uncertainty due to the considerable overlapping of the PR standard deviation for the different ice types. For winter pack-ice conditions, with a small fraction of open water and thin ice, this method may give erroneous results because the SMMR pixel of 25 km in dimension is certainly larger than the thin-ice areas. To address this problem, the PR of mixed-ice SMMR pixels was analyzed. All SMMR pixels consisting of white ice/ grey ice (WIGI), white ice/nilas (WINI), white ice/open water (WIOW) and grey ice/nilas (GINI), of which each ice type (e.g. WI and GI) covered 50% of the SMMR pixel, were classified according to the Landsat data. The PR at 18 and 37 GHz are given in Figure 3. Also shown in the figure are the mean PR values for the three ice types and open water. If we compare mean PR only, GI and WIGI signatures are almost identical and, therefore, a clear distinction of ice types and ice-type mixtures within one SMMR pixel is not possible. This is the major shortcoming of this proposed PR ice-type classification method and limits its application to large homogeneous ice areas consisting of a single ice type which is often found in large polynyas such as the North Water.

Energy flux density parameterization

The method for energy flux density calculation for different first-year ice types is described in detail by Maykut (Reference Maykut1986). Young ice (<0.3m thick) still has a large conductive energy flux density at the ice/atmosphere interface (Fig. 4). Therefore, not only ice-free areas are of importance for energy flux density calculations over pack-ice regions. The oceanic energy flux density, the only

Fig. 3. Mean polarization ratios at 18 and 37 GHz, derived by intercomparison of Landsat and SMMR data for white ice (WI), grey ice/grey-white ice (GI), nilas (NI), open water (OW) andfor mixed-ice SMMR pixels for white ice/grey ice (WIGI), white ice/nilas (WINI), white ice/open water (WIOW) and grey ice/nilas (GINI).

Fig. 4. Energy flux density and ice thickness at the ice/atmosphere interface in January for an air temperature of −30°C (after Maykut, Reference Maykut1986; Steffen, Reference Steffen1986).

energy source over Arctic winter pack ice, amounts to 840 W m−2 in ice-free regions and, as conductive energy flux density, to approximately 125 W m−2 for young ice areas (Fig. 4). Similar results were found during the in situ North Water energy flux density measurements over thin ice (Steffen, Reference Steffen1986). The conductive energy flux density decreases to about 20 W m−2 for ice of 2 m thickness. The sensible energy flux density in the air, which comprises approximately 60% of the energy loss over young ice, depends mainly on the ambient air temperature and to a minor degree also on the wind speed. For the calculation of the sensible energy flux density rates of different ice types, the monthly mean air temperatures for the North Water region from our three expedition stations located within that region were used (North Water expedition data archive, ETH, Zürich, Switzerland). The five-year data set showed a small interannual variability of the mean monthly air temperature for the months October to March (standard deviation range: ±0.5° and ±1.7°C), and therefore, these mean values were applied for the entire time-period shown in this study. For white ice, a mean thickness of 0.8 m was assumed with a snow cover of 50 mm. The overall energy balance for the North Water region depends only little on the thickness distribution of WI. A sensitivity study showed that an increase in ice thickness by 0.2 m reduced the energy balance by 5% when a snow cover of 50 mm was assumed. The calculated energy flux density rates for the ice types nilas, grey ice, white ice, and open water, together with air temperatures for the months November to March, are plotted in Figure 5. Also shown in Figure 5 is the mean monthly air temperature for the North Water region.

Results and Discussion

The ice types were classified within the ocean surface of the study area (100,000 km2) according to the method described above. The Smith Sound, Lady Ann Strait, and Lancaster Sound polynyas, also located within this study area, vary in size considerably throughout winter. The panels in Figure 6 give the cumulative ice-type percentages for white ice (WI), grey ice/grey-white ice (GI), nilas (NI) and open water (OW) on alternative days for the

Fig. 5. Total energy flux density rates ( sensible energy flux density, latent energy flux density and long-wave radiation balance) over four different ice types (white ice, grey/grey-white ice, nilas, and open water) during the winter months November to March. The right abscissa shows the local air temperature for the North Water region, as derived from the North Water climate data archive (ETH, zürich, Switzerland).

winter months November to March of 1978/79 to 1985/86. The right abscissa gives the corresponding total energy flux density based on energy flux density parameterization for ice types and open water.

More than 20% young ice (<0.3m) was found during October to March for most winters, with maximum values of 60% and more. In general, the young ice cover in the North Water was decreasing towards the end of the winter. Only a few percent of open water were classified throughout the winter, which is in good agreement with the low-level aircraft measurements carried out during the winter 1980/81 (Table 1). The large difference between SMMR-derived open water and the flight measurement (2 December 1980, Table 1)

Table 1. Open Water ( OW) derived from 37 GHz passive microwave SMMR data for the North Water area (100,000 km2), compared with open water measured along the flight profile (percent of 1,500 km fiight profile) from 300 m altitude with a precision radiation thermometer (PRT-5). The flight profile is given in Figure 1.

Fig. 6. Cumulative ice-type percentage for white ice (WI), grey/grey-white ice (GI), nilas (NI), and open water (OW) derived from SMMR passive microwave data (37 GHz polarization ratios) for the North Water area (100,000 km2), winter 1978/79 to 1985(86. The right abscissa shows the total energy flux density (sensible energy flux density, latent energy flux density and long-wave radiation balance) derived from the ice-type percentage of the North Water area.

depicts the limitation of the low-resolution passive microwave method, as all open water areas were located along the Greenland coast within the ocean/land SMMR pixel of 25 km.

The most striking phenomenon is the pulse-like change of ice types throughout winter, which could be explained by strong northerly storms occurring in this region. Wind measurements at Cape Sabine (western side of Smith Sound) carried out during the North Water expedition from November to March (1974 to 1977) showed a predominantly northerly component with a mean wind speed of 8.7 ms−1 from the north-northwest (Steffen, Reference Steffen1985). During this period, 14 gales with wind speeds greater than 20 m s−1 from the north-northwest were observed. These storms lasted for a total of 270 hours, with maximum wind speeds as high as 40 ms−1. On the average, every tenth day a storm occurred with a mean duration of 19 hours. Because of the ice divergence caused by the wind-induced ice drift of approximately 17kmd−1, the mean duration of stay of sea ice in Smith Sound (northern part of the North Water) between October and March is less than one week. These predominantly northerly winds, that are channeled in the Smith Sound (Ito, Reference Ito1982), account for the ice drift which generates open water areas where young ice can grow. The fact that the open water and young ice peaks (maximum extent) occur almost at the same time is due to the size of the study area. A separate study (not shown here) indicated that there is a time lag of two to four days between the maximum extents of open water and young ice.

The supply of heat from the sea water and the latent heat of ice formation is compensated by the loss of energy due to sensible heat, latent heat and long-wave radiation. This total energy loss due to open water and thin ice is shown in Table 2 (mean for five months period) and in Figure 6. The mean energy loss for the entire North Water region was found to be 77 W m−2 for the months November to March. Ice formation of 20mmd−1 was found from ice-thickness measurements in this area (Steffen, Reference Steffen1986). Using Schwerdtfeger’s (Reference Schwerdtfeger1963) equation for latent heat for sea-ice formation with a mean salinity of 16‰ for the lowest 50 mm of ice, the supply of heat by refreezing is 38 W m−2 at the most. The remaining 39 W m−2 must be withdrawn from the enthalpy in the sea water.

Table 2. Mean energy loss of the North Water surface due to sensible heat, latent heat and long-wave radiation. Calculation based on energy flux density rate parameterization for different ice types.

Acknowledgements

This research was funded under contract NAG 5-882 by NASA Ocean Sciences Branch. Additional support was provided by the Swiss Federal Institute of Technology. Thanks are due to Jim Maslanik, National Snow and Ice Data Center at the University of Colorado, for providing the time series of the SMMR data.

Footnotes

* The accuracy of references in the text and in this list is the responsibility of the authors, to whom queries should be addressed.

References

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Figure 0

Fig. 1. Map of the North Water area with flight-lines.

Figure 1

Fig. 2. Passive microwave SMMR polarization ratios ( ± standard deviation) at 18 and 37 GHz, derived by intercomparison with Landsat imagery for white ice (WI), grey icegrey-white ice (GI), nilas (NI) and open water (OW).

Figure 2

Fig. 3. Mean polarization ratios at 18 and 37 GHz, derived by intercomparison of Landsat and SMMR data for white ice (WI), grey ice/grey-white ice (GI), nilas (NI), open water (OW) andfor mixed-ice SMMR pixels for white ice/grey ice (WIGI), white ice/nilas (WINI), white ice/open water (WIOW) and grey ice/nilas (GINI).

Figure 3

Fig. 4. Energy flux density and ice thickness at the ice/atmosphere interface in January for an air temperature of −30°C (after Maykut, 1986; Steffen, 1986).

Figure 4

Fig. 5. Total energy flux density rates ( sensible energy flux density, latent energy flux density and long-wave radiation balance) over four different ice types (white ice, grey/grey-white ice, nilas, and open water) during the winter months November to March. The right abscissa shows the local air temperature for the North Water region, as derived from the North Water climate data archive (ETH, zürich, Switzerland).

Figure 5

Table 1. Open Water ( OW) derived from 37 GHz passive microwave SMMR data for the North Water area (100,000 km2), compared with open water measured along the flight profile (percent of 1,500 km fiight profile) from 300 m altitude with a precision radiation thermometer (PRT-5). The flight profile is given in Figure 1.

Figure 6

Fig. 6. Cumulative ice-type percentage for white ice (WI), grey/grey-white ice (GI), nilas (NI), and open water (OW) derived from SMMR passive microwave data (37 GHz polarization ratios) for the North Water area (100,000 km2), winter 1978/79 to 1985(86. The right abscissa shows the total energy flux density (sensible energy flux density, latent energy flux density and long-wave radiation balance) derived from the ice-type percentage of the North Water area.

Figure 7

Table 2. Mean energy loss of the North Water surface due to sensible heat, latent heat and long-wave radiation. Calculation based on energy flux density rate parameterization for different ice types.