Introduction
Glacier mass balance, the difference between the net snow accumulation and net ice loss over 1 year, is the parameter by which changes in glacier volume are measured. Both the accumulation and the ablation are products of the local weather. We focus here on ablation: the seasonal progression of glacier melting as revealed by synthetic-aperture radar (SAR) images, the near-surface melting characteristics that define two distinct radar glacier zones, and complications imposed by weather events upon the seasonal signal.
Visible wavelengths have great limitations in monitoring frequently cloudy regions such as southeast Alaska, U.S.A. In contrast, SAR is capable of imaging the surface in spite of clouds and darkness, and hence allows repeated imaging of the glacier surface. Understanding the way SAR portrays the glacier surface is a necessary step toward using a multitemporal approach to characterizing or even measuring glacier ablation. We find that radar glacier zones are not restricted to the Patagonian icefields, Chile and Argentina (Reference Forster, Isacks and DasForster and others, 1996), and the Stikine icefields, British Columbia, Canada (Reference Smith, Forster, Isacks and HallSmith and others, 1997), where they have been previously observed. We use field measurements of glaciological parameters that influence radar backscatter to characterize two radar glacier zones. Field observations of snow wetness, grain-size and surface roughness were taken on the same dates as 14 SAR images and are used to determine which parameters cause the differences between the M and M2 radar glacier zones in the mid- to late ablation season on the Juneau Icefield.
The Juneau Icefield is an icefield in southeast Alaska (58°40′ N, 134° 15′ W), a heavily glaciated mid-latitude region where details of glacier volumes and their changes are poorly known (Reference Dyurgerov and MeierDyurgerov and Meier, 1997b). According to Reference Dyurgerov and MeierDyurgerov and Meier (1997a), the Coast Range is one of a few glacierized regions (excluding the Greenland and Antarctic ice sheets) that may contribute to global sea-level rise more substantially than would be inferred from its glacier area, due to its high volume and interannual variability of precipitation and ablation. There is a tremendous moisture flux throughout the year. Many tidewater and non-tidewater glaciers in the region have been observed to be shrinking over the past century (e.g. Reference Hall, Benson and FieldHall and others, 1995a), with possibly accentuated changes in the 1970s and 1980s (Reference Dyurgerov and MeierDyurgerov and Meier, 1997b).
The Juneau Icefield covers >1000 km2 (Figs 1 and 2). Because of its proximity to Juneau and the established research facilities of the Juneau Icefield Research Program (JIRP), it serves as an ideal site for combined field and satellite observation of the glaciers. Mass-balance and meteorological studies have been conducted on the Juneau Icefield by one of the authors (M.M.M) and his colleagues since 1946 (Reference Pelto and MillerPelto and Miller, 1990). Unlike many of the other glaciers in the region, Taku Glacier is advancing and has had positive mass balance for most of the recent half-century (Reference Pelto and MillerPelto and Miller, 1990). The long-term observations make it possible to place radar analyses in the context of historic climate changes. Knowledge gained from this site can be applied with care to other mid-latitude glacierized regions.
Radar Glacier Zones on Mid-Latitude Glaciers
A melt zone and other zones with coherent radar characteristics have been observed on mountain glaciers and ice sheets (Reference Fahnestock, Bindschadler, Kwok and JezekFahnestock and others, 1993; Reference Forster, Isacks and DasForster and others, 1996, Reference Forster, Smith and Isacks1997; Reference Smith, Forster, Isacks and HallSmith and others, 1997; Reference PartingtonPartington, 1998). However, the radar glacier zones described here are not the same as glacier facies that have been described in the field and on SAR images of the Greenland ice sheet and Mount Wrangell (e.g. Reference BensonBenson, 1968; Reference Fahnestock, Bindschadler, Kwok and JezekFahnestock and others, 1993; Reference BensonBenson, 1996; Reference PartingtonPartington, 1998). Glacier facies are the dry-snow facies, the percolation facies, the wet-snow facies and the ice facies. The dry-snow facies does not occur on mid-latitude glaciers except at very high altitudes such as at the peak of Mount Wrangell in the Wrangell-St Elias Mountains (e.g. Reference BensonBenson, 1968; Reference PartingtonPartington, 1998). All four of the radar glacier zones occur in the wet-snow and ice facies on the Juneau Icefield. Radar glacier zones provide the means to observe dynamic changes in snow-surface properties at elevations that are sensitive to meteorological influences.
Radar glacier zones were first described by Reference Forster, Isacks and DasForster and others (1996) on the Patagonian icefields in the Argentina/Chile Andes (at ∼48° S) using multi-band SIR-C/X-SAR data. They are regions on mid-latitude glaciers that display a sequence of SAR backscatter coefficients due to seasonally evolving surface properties. Similar C-band radar features have been observed on other mid-latitude glaciers in Alaska and British Columbia, including glaciers in the Copper River area and the Stikine icefields (Reference Smith, Forster, Isacks and HallSmith and others, 1997) (Fig. 1).
Recent SAR observations of glaciers have shown that the radar backscatter coefficient is sensitive to changing glacier surface properties such as the scale of roughness and the snow wetness (e.g. Reference Rott and NaglerRott and Nagler, 1994; Reference Jiancheng and DozierShi and Dozier, 1995; Reference Smith, Forster, Isacks and HallSmith and others, 1997). The spatial and temporal position of the zones with respect to each other is necessary to identify the surface characteristics realistically. Each SAR time series (using second European Remote-sensing Satellite (ERS-2) and the Canadian RADARSAT satellite data) shows four discrete regions on mountain glaciers that change with both altitude and time. In Alaska and British Columbia, the four zones were interpreted as frozen winter snow (F), melting snow (M), a second phase of melting snow (M2) (the zone called “P2” by Reference Smith, Forster, Isacks and HallSmith and others, 1997) and bare ice. Reference Smith, Forster, Isacks and HallSmith and others (1997) observed a seasonal trend in radar glacier zones on the Twin Glaciers, Stikine icefields; the seasonal progression of radar glacier zones also occurs on Miles Glacier, Alaska, and on the Juneau Icefield. However, neither the surface characteristics responsible for backscatter zonation nor the regional and temporal distribution of these glacier surface characteristics in Alaska or in other mountain systems has been defined. Once the surface characteristics of C-band radar glacier zones are defined, they can be used to study and understand seasonal and interannual changes on mid-latitude glaciers. Two seasons of field observations in conjunction with SAR data acquisitions were undertaken for this study. These measurements define the surface properties that cause the changing SAR backscatter signatures. A description of each of the four radar glacier zones is followed by analysis of the field characteristics of the two significant melt zones. The results pertain specifically to C-band SAR.
Satellite observations
Data acquisition and processing
SAR data were acquired at the Alaska SAR Facility (ASF) in Fairbanks from ERS-2 and RADARSAT. Images were processed at one look in range for four looks in azimuth. Resolution is 25 m for ERS-2 and RADARSAT standard beam 2 images. RADARSAT ScanSAR images have 100 m resolution. Both sensors operate at C-band wavelength (5.6 cm). Radiometric calibration for all data used the ASF Science Technology and Education Program (STEP) software. All ERS-2 and RADARSAT standard beam data were also terrain-corrected using the 1° U.S. Geological Survey (USGS) digital elevation model (DEM) which has a 3 arcsecond (latitude) by 6 arcsecond (longitude) elevation grid. The vertical accuracy is +30 m (USGS, unpublished information, http://edc.usgs.gov/Webglis/glisbin/guide.pl/glis/hyper/guide/usgs-dem). Elevation data were over-sampled to a 30 m grid to maintain the SAR resolution during processing. This procedure is useful for comparing sequences of images with different imaging geometry, and is crucial for accurately mapping field sites on the SAR images.
RADARSAT and ERS-2 data can be used together effectively to improve the observation frequency. In order to test sensor compatibility we compared two pairs of images that were acquired in close succession by different satellites. Each pair consisted of one ERS-2 image and one RADARSAT standard beam 2 image. The comparison helps to evaluate the validity of combining these datasets. All four images were taken in descending orbits. The images in each pair look very similar to each other. We measured the differences between images in each pair by comparing average backscatter coefficients on a 1 km wide transect down Taku Glacier (see transect 1–1a in Fig. 2 for location). Figure 3 shows the differ-ences between both the 21 and 23 July 1997 and two 25 July 1998 ERS-2 and RADARSAT image pairs (see Table 1 for acquisition times). The average σ° differences between the two images in each pair are 0.05 (1997) and −0.01 (1998). The low difference values indicate that there are no systematic back-scatter differences between sensors, but because fluctuating positive and negative values cancel each other out, they do not give the average magnitude of the backscatter difference. Thus, we also measured the absolute value of the difference for each pair. The average absolute values of the backscatter coefficient differences are 1.17 (1997) and 1.88 (1998), with standard deviations of 1.54 and 2.20, respectively. These values are within the (±2.0 dB absolute accuracy calculated by the ASF for radiometrically calibrated ERS-1 and -2 images (http://www.asf.alaska.edu/dataset_documents/ers1_and.ers2_sar_images.html; 18 September 1996). Calibrated RADARSAT data accuracy is expected to be close to ERS-1 values (http://www.asf.alaska.edu/dataset_documents/radarsat1_-standard_ images.html; 15 August 1996). From the lack of systematic offset, we infer that the differences are real, caused by changes during the 2 day interval in 1997 or diurnal variations due to different acquisition times or different polarizations (1997 and 1998). Both ERS-2 and RADARSAT are co-polarized: ERS-2 is vertically polarized and RADARSAT is horizontally polarized. We did the same test on a winter pair of ERS-2 images taken ∼37 h apart in different orbits (ascending and descending). The backscatter coefficient average (absolute value) difference is 1.3, with a standard deviation of 1.4. We think that the similarity in backscatter coefficients on these transects, and the spatial similarity between images, makes it valid to compare and combine images from the different sensors.
Dry (frozen in winter) snow zone
The frozen snow zone appears very bright (σ° = −8 to −3). It occurs at high elevations in winter before the spring melt (Figs 4a and b and 5). This zone is not the dry-snow facies found in parts of Greenland where snow never melts; it is similar to the wet-snow facies in winter where there is seasonal (summer) melting and refrozen layers in the subsurface. On the Juneau Icefield, the snow, even at the highest elevations, contains liquid water every summer. Snow freezes in the fall, and typically persists in the frozen state on the Juneau Icefield until mid- April. During the winter season the new snow is transparent to the radar. When there is no liquid water in the snowpack, the SAR penetrates the snowpack. The high backscatter returns observed consistently during the winter (see “F” in Fig. 4a and b) are probably due to volume scattering in the subsurface firn and scattering from refrozen ice and snow layers (Reference Fahnestock, Bindschadler, Kwok and JezekFahnestock and others, 1993; Reference Rees, Dowdeswell and DiamentRees and others, 1995) (Fig. 4a). This is consistent with the SAR observations of the melt facies in winter on the Greenland ice sheet and on Mount Wrangell (Reference Fahnestock, Bindschadler, Kwok and JezekFahnestock and others, 1993; Reference PartingtonPartington, 1998). This zone has high backscatter coefficients throughout the winter. A comparison of January and April 1997 ERS-2 scenes shows that there is little change on most glaciers over that period (Fig. 6). The plots for the January/April comparison are derived from 1 km swath averages along transects 2–2a, 3–3a, and 4–4a in Figure 2. Backscatter changes on the accumulation area are <2 dB (within one standard deviation), but over the ablation zone there is a slight but perceptible increase in backscatter. This backscatter increase at lower elevations may be due to development of refrozen layers within the snowpack during transient warm spells.
Backscatter coefficient transects on Taku Glacier are also shown for a winter image and subsequent ERS-2 and RADARSAT images during the 1997 melt season (Fig. 7). This sequence of transects shows the radar glacier zone through one melt season. Backscatter coefficients were measured along a transect from high to low elevation on Taku Glacier (transect 1–1a in Fig. 2). Each transect is a 1000 m wide swath average performed on unfiltered SAR data and then smoothed over a 1400 m window. We have no field observations when the snow was frozen.
Melt (M) zone
This melt phase replaces the frozen (during winter) snow zone with very low radar backscatter values (σ° = −25.5 to −12) (see “M” in Fig. 4b; see also Fig. 5). The melt zone (M) is illustrated for the Juneau Icefield in spring 1998 (Fig. 4b and c). The RADARSAT images in Figure 4 were acquired in the same track and look direction and at the same time of day, so diurnal and geometric variations are minimal. Between April and late May or mid-June, the backscatter coefficients are typically very low, for some areas returning a signal below the noise level (Fig. 4c). This dramatic radar signature of the melt zone systematically migrates from lower to higher altitudes as the melting progresses in response to spring warming (Fig. 8; Reference Smith, Forster, Isacks and HallSmith and others, 1997).
We compared the radar glacier zone boundaries in 1997 to the mean daily 0°C isotherm based on maximum and minimum temperatures recorded at the nearby Juneau Airport. The elevation of the 0°C isotherm was calculated based on a lapse rate of −6.5°C (1000 m)−1. Zone boundaries were mapped on ERS-2 and RADARSAT images, and elevations were extracted using the USGS 30 m DEM (boundary elevations are shown as gray dots in Figure 8). The frozen-snow zone has a stable winter SAR signature (Figs 6 and 8). The melt phase parallels the spring warming, and in 1997 the top of the melt zone correlated reasonably well with the elevation of the mean daily 0°C isotherm. Note that the elevation of the boundary between the melt phase and phase 2 melt zone fluctuates. The drop in that boundary on 7 July was probably due to a record-breaking July rainfall on 6 July 1997 (5.2 cm of rain were recorded in Juneau). The upper boundary of the melt zone tends to follow a contour, and it is commonly (not exclusively) controlled by increases in temperature (Fig. 8).
Phase 2 melt (M2) zone
The initial wet-snow phase is followed by a bright phase (σ° = −7.5 to −3) that is also associated with melting and is interpreted as a second-stage snowmelt (Figs 4d and 5). The brightness of the return has previously been attributed to either a roughening of the surface or metamorphosis of the snow (Reference Smith, Forster, Isacks and HallSmith and others, 1997). Our field experiments determine that suncups (higher-relief undulations in three dimensions) cause the high backscatter of the phase 2 melt zone. For wet-snow conditions, surface roughness at the scale of the radar wavelength contributes to a higher-magnitude backscatter coefficient. Throughout the summer, the snow is wet in both the M and M2 zones, but the surface relief at the radar scale is greater in the M2 zone. When the wetness increases beyond 3% by volume, surface scattering on the roughened surfaces causes an increase in backscatter (Reference Ulaby, Moore and FungUlaby and others, 1982; Reference Jiancheng and DozierShi and Dozier, 1995; Reference HallHall, 1996). This surface scattering off the roughened surface is thought to be the cause of the M2 melt zone. Overall, smooth, wet surfaces (M) have low backscatter, and rough, wet surfaces (M2) have higher backscatter. However, a complex relationship makes it difficult to extract a simple correlation (Reference Jiancheng and DozierShi and Dozier, 1995). For more details, see the discussion of field observations below.
Bare ice and old firn
Once the snow melts on the surface of the glacier, the exposed bare ice and firn appear darker (σ° = −12 to −10) than the preceding M2, but brighter than the very dark initial snow-melt (M) (Figs 4d and 5). Bare ice is a specular reflector, causing low backscatter returns. Surface features such as crevasses and moraines become clearly visible because of their roughness relative to the C-band wavelength. During the late summer, this zone includes areas of exposed multi-year firn above the ice–firn boundary. In winter, a firn line is visible beneath the new snow accumulation, whereas in the summer it is difficult to distinguish ice from multi-year firn (Reference Lingle, Harrison and AhlnäsLingle and others, 1992; Reference Hall, Williams and SigurðssonHall and others, 1995b).
Field observations of melt zones
We refine interpretations of the radar glacier zones by comparing surface parameters observed in situ on the Juneau Icefield with ERS-2 and RADARSAT SAR backscatter coefficient sequences. Field measurements of the glacier surface can discriminate the physical processes dominating the radar backscatter in the initial melt (M) and second melt (M2) zones. We observed these properties contemporaneously with 14 satellite overpasses during two summers (1997, 1998) on the Juneau Icefield.
Backscatter is sensitive to snow surface roughness at the scale of the radar wavelength, liquid moisture near the snow surface, grain-size and subsurface structures. It is the surface roughness in the mid- to late ablation season that contributes to the high backscatter of the M2 zone. The effect of other factors, such as the free-water content of the snow, is important early in the season, but becomes less important once the snow is sufficiently wetted and the surface morphology develops due to ablation.
Grain-size and ice lenses
Aged snow grains are uniform spheroidal shapes with diameters of 1–2 mm. The spatial uniformity makes it unlikely that grain-size is the factor dominating backscatter differences. Ice lenses are important during the winter months, causing backscatter from structures within frozen snow, but because liquid water strongly attenuates subsurface penetration, ice lenses and other structures are not significant during the summer when the snow surface is wet. The following subsections focus on the roughness and wetness contributions to the SAR backscatter coefficient.
Surface roughness
To measure glacier surface roughness on the Juneau Icefield at scales near the C-band SAR wavelength (5.6 cm), we photographed the snow-surface profile using a 2 m “roughness plate” oriented perpendicular to the surface. The photographs were digitized, then cropped to include only the black plate and snow profile, then converted to a binary image using a threshold value that represents the snow–air boundary appropriately (threshold values varied due to different light conditions). Some examples are shown in Figure 9. The image of the snow-surface profile was vectorized to a function and analyzed for correlation length and standard deviation of the roughness height. The calculations are based on the discussion in Reference Ulaby, Moore and FungUlaby and others (1982).
The standard deviation of the surface-roughness height compares the surface to a reference surface, calculated as the mean horizontal line in our two-dimensional samples. Also evaluated was the maximum surface height for each sample, defined as the absolute value of the maximum deviation from the mean. Two to eight (usually four) roughness observations were taken at each of 78 sites on Taku Glacier (locations are shown in Figure 2).
Surface-height standard deviations range from <1 to 6.6 cm, and maximum surface heights range up to 13 cm. Surface-roughness heights on the high-altitude “divide” area (>20 sites) are, on average, lower than they are at lower altitudes on Taku Glacier (Fig. 9). Mean surface-roughness standard deviation for the M zone is 18.9 mm compared to 28.1 mm for the M2 melt zone (all 1997 and 1998 data). Histograms of roughness distributions for each melt zone show that they have similar ranges; however, the low-backscatter regions tend to have smoother surfaces (Fig. 10a; Table 2). A t test shows that the two groups of samples (M and M2) are distinct at the 82% significance level.
The correlation length was calculated for each snow- surface profile based on Reference Ulaby, Moore and FungUlaby and others (1982). Correlation lengths for all measurements range from <10 to >100 cm, with 86% of them falling below 40 cm (Fig. 10b; Table 3). The average correlation length is 23 cm. The correlation lengths do not show any pattern relating to site location, roughness height or backscatter, suggesting that correlation length is not a diagnostic characteristic for radar glacier zones on the Juneau Icefield. The correlation lengths are not statistically different. Thus, it is likely that the higher-amplitude surface on the lower Taku Glacier in the M2 zone provides the facets creating the high backscatter coefficients seen on the SAR images.
Surface wetness
One of the prominent surface changes observable by C-band SAR is the initiation of melting within the glacier snow cover (Reference Mätzler and SchandaMätzler and Schanda, 1984; Reference RangoRango, 1993). The increase in liquid water in the snowpack (∼2% by volume) causes more specular reflection and less signal penetration in the snowpack (Reference Jezek, Drinkwater, Crawford, Bindschadler and KwokJezek and others, 1993; Reference Jiancheng and DozierShi and Dozier, 1995). Liquid water in the snowpack increases the absorption coefficient (Reference Ulaby, Moore and FungUlaby and others, 1982; Reference Jiancheng and DozierShi and Dozier, 1995; Reference HallHall, 1996). Both of these characteristics lead to low backscatter coefficients. The presence of free water in the surface snow is important early in the season during the transition from frozen to melting snow.
Snow liquid-water content near the glacier surface was measured during the two melt seasons using a snow-moisture meter that consists of a flat 20 MHz capacitance probe (Reference DenothDenoth, 1989). These measurements determine the dielectric properties of the snow. The dielectric constant (calculated from meter readings) is combined with independent measurements of snow density to calculate the snow wetness (up to ∼10% by volume). Snow wetness was found to be variable in space and time; approximately 20 measurements were taken at each of ∼40 observation sites. Measurements on some sites were repeated on different dates.
Wetness values are 1 to >8% (1997) and 4 to >10% (1998) for areas in both the M and the M2 zones during July (Table 4). Histograms of all 1998 surface-wetness observations show that both the M and M2 zones are wet and that the wetness distributions are indistinguishable (Fig. 10c). Results were similar for 1997; therefore, the percentage of liquid water in the snowpack is not a diagnostic characteristic of the late-ablation-season radar glacier zones. No observations were taken early in the initial melting phase, when spatial differences in wetness throughout the snowpack probably influence the backscatter coefficient. Based on these observations, we suggest that once the surface has been sufficiently wetted (beyond ∼3%), surface scattering is the most important mechanism and the roughness determines the backscatter.
Discussion and Conclusions
Four radar glacier zones, the frozen (during winter) snow zone, the initial melt (M) zone, the phase 2 (M2) melt zone and the bare-ice zone, are defined on the basis of their SAR backscatter coefficients and their spatial and temporal distributions on mid-latitude glaciers. The radar glacier zones exist on numerous mid-latitude glacier systems including glaciers such as the Patagonian icefields in Chile and Argentina, Miles Glacier in the Copper River region of southern Alaska, the Stikine icefields in British Columbia and the Juneau Icefield in southeast Alaska. The progression of radar glacier zones is related to seasonal temperature cycles with boundary fluctuations and backscatter changes also influenced by weather events, including heavy rain, snowstorms, intense radiation or high temperatures, and temperatures below freezing.
Ground-based observations combined with satellite observations from two SAR instruments, ERS-2 and RADARSAT, are used to constrain the interpretations of radar glacier zones. Two summer field seasons were undertaken to study the M and M2 melt zones on the Juneau Icefield. At the beginning of the melt seasons, the low backscatter coefficients of zone M are related to an increase in absorption due to moisture in the snowpack and an increase in scattering away from the sensor. As melting increases, liquid moisture increases and the snowpack metamorphoses. Extensive measurements of surface wetness and surface roughness demonstrate that both the M and the M2 melt zones contain liquid-water content in excess of 3% most of the time during July and August. By the middle of the ablation season, areas in both zones M and M2 are melting, so other surface characteristics dominate the SAR returns. Field observations show roughness-height differences between the low-backscatter M zone and the high-backscatter M2 zone. The roughness differences are due to the development of ablation-related suncups. Other factors that typically influence radar backscatter coefficient are uniform between the two zones; therefore, the roughness difference is likely to be the cause of the amplitude difference. The Juneau Icefield observations show that areas on the glacier with higher roughness tend to have high backscatter (σ°> −12), and regions with lower roughness tend to have low backscatter (σ°< −12). The high backscatter coefficient of M2 is primarily due to surface scattering over a wet, roughened snow surface, whereas zone M is smoother and has lower backscatter.
The differences between the M and M2 radar glacier zones are probably enhanced by processes related to surface metamorphosis and suncup development. At the lower elevations where the M2 zone is predominant, the melting starts earlier in the season, the temperatures are higher and there is rarely snowfall in the summer. In contrast, high on the icefield where the M zone persists well into the melt season, temperatures are cooler, snow starts to melt about a month later and snow may fall sporadically. Intermittent snowfalls at the higher elevations tend to smooth the surface when suncups start to develop. In many cases, the summer snowfall also prevents full M2 development at the highest elevations, where one might expect large suncups to develop late in the melt season.
SAR data are effective for mapping melt onset in heavily glacierized southeast Alaska, and for tracking the melt-zone development over seasons. Knowing the dominant surface characteristics of each of the radar glacier zones and the atmospheric conditions that contribute to their development will permit use of the radar glacier zones and their distributions to assess interannual variability and glacier changes. In the future, observations of the spatial and temporal distribution of melting episodes may be used to evaluate the ablation component of the glacier mass balance.
Acknowledgements
The authors thank the Foundation for Glacier and Environmental Research and the JIRP for providing valuable assistance with the fieldwork. The ASF provided ERS-2 and RADARSAT SAR data and access to software. We thank H. Rott, D. Hall and an anonymous reviewer for their comments. We also thank A. Bloom, R. Davis, D. Hall and A. Klein for helpful discussions and the use of field equipment. This work was supported by a NASA Goddard Space Flight Center Graduate Student Research Program fellowship to J.M.R., NASA EOS (NAG5-6111) and NASA LSHP (NAGS-7497) grants. Fieldwork was supported by the Cornell Department of Geological Sciences, JIRP and Alaska’s NASA Space Grant. This is Cornell University Department of Geological Sciences Institute for the Study of the Continents (INSTOC) contribution No. 254.