Introduction
During the past several years the Geophysical and Polar Research Center has been conducting a program of geophysical investigations of the Siple and Gould Coast regions of the West Antarctic ice sheet, and of the adjacent parts of the Ross Ice Shelf. Our research work has concentrated on radar and seismic studies of the glacier bed, but has also yielded a substantial amount of information concerning the glacier surface and internal characteristics. In this paper we give a review of the major findings of this program to date. This is not yet a comprehensive report on the results of this work, since extensive analysis remains to be done on data already in hand; furthermore the field program will be continuing in the future. Elsewhere in this volume we report on two of the specific improvements in our remote- sensing capabilities that have been put to use effectively in recent seasons (Reference Blankenship, Anandakrishnan, Kempf and BentleyBlankenship and others 1987; Reference Schultz, Powell and BentleySchultz and others 1987).
The major focus of the research project being carried out by the University of Wisconsin in conjunction with The Ohio State University, NASA, and the University of Chicago is the “Ross ice streams”, which are the dynamically dominant feature of the part of the West Antarctic inland ice sheet that feeds into the Ross Ice Shelf (Reference Robin, Swithinbank and SmithRobin and others 1970[a]; Reference RoseRose 1979). The work done to date has concentrated on ice stream B and Crary Ice Rise, but with extensive reconnaissance work over ice streams A and C, and ridges AB and BC (Fig.1).
Mapping of Ice Streams
A very important first result of the airborne radar program has been the mapping of ice streams A, B, and C and their marginal shear bands that is more detailed than the previous mapping by Reference RoseRose (1979). As was shown previously by Reference Robin, Swithinbank and SmithRobin and others (1970[a]) and Reference RoseRose (1979), radargrams over the ice streams show strong scattered returns from inhomogeneities, especially crevasses, at and near the air—ice interface, producing a prolongation of the surface echo called “clutter”. Clutter results from buried as well as surface crevasses, so it is an effective diagnostic feature of ice streams whose surfaces are characterized by crevasses, most of which are buried (Fig.2). The clutter from the marginal shear zones is often longer lasting than that from the other parts of the ice stream, presumably because the large open crevasses along the margins are particularly effective scatterers of energy. Using both the scatter from the bodies of the ice streams and the prolonged returns from their margins, which can be traced from cross-section to cross-section, Shabtaie and Bentley (Reference Shabtaie and Bentley1986; Reference Shabtaie and Bentleyin press) produced the map of the ice streams that is shown in Fig.3.
It also has been possible to delineate the grounding lines that mark the boundary between the inland ice and the ice shelf (Reference Shabtaie and BentleyShabtaie and Bentley 1986; in press). In places where the inland ice is moving relatively slowly, the grounding line is readily apparent from the surface elevation profile, and in fact can even be seen visually from the surface. However, that is not true down-stream of the active ice streams. The radar data have been used in two ways to delineate the grounding lines in those regions. In the first place, ice thicknesses can be compared with precise surface elevations obtained by satellite measurements at ground stations to determine whether the surface of the ice shelf is at or above buoyancy. Secondly, characteristics of the radar signals can be used directly. Two are particularly useful. (1) Hyperbolic returns occur from near the base of the ice; we interpret these as being due to bottom crevasses. We have not observed bottom crevasses anywhere on the grounded ice, so we assume that the presence of bottom crevasses on a flight line means that the grounding line must be upstream. (2) The bottom echo from the grounded ice usually shows a fading pattern (i.e. rapid changes in echo strength) that is typical of inland ice sheets, whereas the bottom echo from the ice shelf is relatively smooth and strong. From this combination of data, Reference Shabtaie and BentleyShabtaie and Bentley (in press) drew the grounding line in the position shown on the map in Fig.4, where it is contrasted with the position formerly mapped by Reference RoseRose (1979), who did not have the benefit of precise satellite measurements of surface elevations.
The heads of the ice streams have not yet been mapped clearly. In fact, this may be difficult to do. Ice stream A is fed by Reedy Glacier and by the Shimizu/Horlick ice stream, both of which have their origins on the East Antarctic side of the Transantarctic Mountains. Ice streams B and C, on the other hand, clearly start within the West Antarctic inland ice, but with a complex boundary zone, especially in the case of ice stream B (Fig.3). Just what physiographic features (in addition to crevasses) or analytical characteristics of the ice mark the beginning of the ice streams, if indeed any clear demarkation exists, remains to be seen from further analysis of the data on hand and concentrated study that is planned for the future.
The complexity of “ridge B1/B2” between ice streams B1 and B2 (Figs. 3 and 5) is particularly striking. Within this “ridge” several “islands” and “peninsulas” of clutter-free ice are separated by disturbed ice zones. We believe that the many irregular and discordant zones of crevasses are indicative of a region in transition; more specifically we believe that sections of the surrounding ice sheet are being transformed into stream flow, so that ice stream B is actually growing. We will return to this point later.
Surface Elevations
Another important product of airborne radar is the determination of the surface elevations of the ice sheet. Our radar-sounding flights are carried out as nearly as possible at a constant pressure elevation as determined by the barometric altimeter in the aircraft. Ice surface elevations relative to the aircraft are determined from the surface echo on the radargrams. As part of the Siple Coast project, a number of surface stations at which the elevation was measured by satellite observations were established. Radar-sounding flights were designed to pass over as many of these ground control stations as possible. This provided excellent control on the absolute elevation of the surface beneath the flight lines. Furthermore, the flight lines crossed each other in many places, so that intertrack ties could be made. Analysis of the results has indicated that surface elevations obtained by radar are good to between ±10 and ±25 m, depending on the distance from the nearest tie point (Reference Shabtaie and BentleyShabtaie and Bentley in press). Consequently, our new map (Fig.5) should be more accurate as well as more detailed than the regional map of Drewry (1983), who cited an error of 30–50 m.
Ice Stream B
We now turn our attention to some of the specific characteristics of ice stream B that have been revealed by remote sensing. Ice stream B has two branches, called B1 and B2, which merge around grid 4°W; the boundary between the two persists downstream as a suture zone as far as grid 2°W (Fig.3). Even well below the junction at 3.3 °W the bed continues to be marked by two distinct troughs (Fig.2). The trough beneath ice stream B1 is somewhat the more pronounced of the two, but neither is very deep compared to most ice streams (Reference BentleyBentley in press) – the total subglacial relief on the section of Fig.2 is less than 300 m. Farther upglacier, adjoining “ridge B1/B2”, the trough beneath ice stream B1 is 300 m deeper than in Fig.2; downglacier it continues to shoal until it is 100 m less deep than the trough beneath ice stream B2, which has a less varying depth (Reference Shabtaie and BentleyShabtaie and others in press[b]).
Seismic reflection studies conducted at Upstream B Camp (UB) revealed the existence of two reflectors near the base of the ice (Reference Alley, Blankenship, Bentley and RooneyBlankenship and others 1986; in press), Both compressional wave (P-wave) and shear wave (S-wave) reflections were recorded, each from both the upper and lower reflector. These reflections were seen not only on vertical but also on “wide angle” (oblique) reflection profiles, from which the P-wave and S-wave speeds in the layer were determined. The low P-wave speed, near to that in water, and the extremely low S-wave speed, less than 10% that for the P-waves, together mean that the layer must have a relatively high porosity (about 40%) and be saturated with water at high pressure — 99½% of the glaciostatic overburden pressure must be supported by fluid pressure in the pores (Reference Blankenship, Bentley, Rooney and AlleyBlankenship and others in press). The combination of high porosity and low effective pressure between sedimentary particles implies that the layer, which averages about 6 m thick along the sections that have been measured (Reference Rooney, Blankenship, Alley and BentleyRooney and others in press), must be very weak. From this we have concluded that at least at Upstream B the ice stream moves primarily by deforming its bed rather than by sliding over it (Reference Alley, Blankenship, Bentley and RooneyAlley and others 1986; Reference Alley, Blankenship, Bentley and Rooneyin press [a]).
The seismic reflections further showed that along the direction of ice movement the subglacial reflecting horizon is parallel to the bottom of the ice, but that transverse to the ice movement there is much less continuity in the subglacial reflectors (Reference Rooney, Blankenship, Alley and BentleyRooney and others in press). The picture that emerges is one of ridges and valleys in the basal surface of the subglacial layer trending parallel to the axis of the ice stream. The alignment of these features along the direction of movement suggests that they are formed by erosion. The fact that there is no image of the ridges and troughs in the glacial-subglacial interface is further support for the model of a deforming bed that we have proposed. The largest of these flutes or grooves are over 10 m deep and more than a kilometer across, although more generally they are about 200–300 m across (Fig.6). The general appearance of these flutes is similar to glacial flutes observed on deglaciated terrain of the Laurentide ice sheet, such as in northern and central Alberta (Reference Gravenor and MeneleyGravenor and Meneley 1958).
Other interesting features that show up on the seismic cross-sections are linear diffractors parallel to ice movement that suggest a chain of boulders entrained in the top of the till (other interpretations are also possible), isolated ridges parallel to ice flow where the till becomes very thin or pinches out entirely, and dipping reflectors beneath the deforming till that suggest an angular unconformity at the base of the deforming till (Reference Rooney, Blankenship, Alley and BentleyRooney and others in press). Preliminary examination of other field records indicates that the till is probably continuous along a profile 12 km long parallel to the axis of the ice stream.
If our model of a basal deforming till is correct for the whole ice stream, it follows that the till is being transported downstream and deposited where the ice loses its ability to transport it (Reference Alley, Blankenship, Bentley and RooneyAlley and others 1986). A very flat region of barely grounded ice, which we propose to call an “ice plain”, characterizes the downstream ends of ice streams A and B (Figs 4 and 5). We believe the bed beneath the “ice plain” to have been formed by the deposition, below formerly floating ice, of till carried along beneath the ice streams. The low to non-existent slope of the surface (first profiled, but not recognized as distinct from the ice shelf, by Reference Robin, Evans, Drewry, Harrison and PetrieRobin and others (1970[b])), combined with the fast measured ice velocities in the “ice plain”, suggest that the movement is primarily ice-shelf-like (dominated by longitudinal stresses) rather than ice-stream-like (dominated by basal shear stresses). It follows further that the transport of till will result in a growing “till delta” beneath the “ice plain”, and an advancing grounding line. A similar process of transport was proposed long ago for the whole Ross Ice Shelf by Reference PoulterPoulter (1950), although he believed tidal lifting would aid the forward motion of the ice. In fact, the “ice plain” lies several tens of meters above hydrostatic balance so tidal flotation does not occur. Strand cracks have been found at the “ice plain” grounding line near Crary Ice Rise (Reference Bindschadler, Stephenson, MacAyeal and ShabtaieBindschadler and others in press).
Supporting evidence for the existence of a soft bed directly beneath the “ice plain” comes from an examination of the seismic reflection records recorded as part of the Ross Ice Shelf Geophysical and Glaciological Survey (RIGGS) in 1973–74 (Reference RobertsonRobertson unpublished; Reference Robertson and BentleyRobertson and Bentley in press). The best seismogram from each of six stations is reproduced in Fig.7, Stations E5, E6, and E7 are on the “ice plain”. Stations E8 and F9 lie on the floating ice shelf over deep water down-stream from ice stream A. The reflection records at E5, E6, and E7 (Fig.7a) show poor or very poor single reflections that were originally interpreted by Reference RobertsonRobertson (unpublished) as being from the sea floor. However, the characteristics of the seismograms from E8 and F9 (Fig.7b), where both the ice-bottom and sea-bottom reflections are unequivocal, are clearly very different. We believe now that the reflections at E5, E6 and E7 are from within the sedimentary column, and that the ice/sediment reflection is not seen.
There is reason to believe that a reflection from the ice/sediment boundary might not be observable. If we assume that the sediments, are the same as those beneath station UpB, except that they are no longer dilated, then we estimate the P-wave velocity at 1700 m s−1 and the density at 2.0 Mg m−3; the acoustic impedance would then be 3400 Mg m−2 s−1. For the base of the ice shelf, with a density of 0.91 Mg m−3 and a wave velocity of 3700 ms−1 (Reference RobertsonRobertson unpublished), the acoustic impedance is also 3400 Mg m−2 s−1. Even if the presumed till were dilated, its acoustic impedance, ~ 3000 Mg m−2 s−1, would not be largely different from that of the ice. Thus, though conditions in the sea floor may vary considerably from place to place, the acoustic impedance contrast could certainly be very small, so that the absence of a bottom reflection would not be surprising.
Also shown in Fig.7b is a reflection record from station F7 on the edge of the “ice plain” - this, the only case of a strong reflection on the “plain”, suggests that there is a hard bottom at this spot (grid position 5.6°S, 1.8°W - see Fig.5).
Remote sensing also gives information about the internal characteristics of the ice. The same wide-angle seismic reflection profiles that yielded the seismic velocities in the subglacial layer also yield velocities in the ice itself. Wide-angle reflection measurements elsewhere have generally revealed that a substantial fraction of the ice sheet in most places is anisotropic (Reference Bentley and CraryBentley 1971; Reference BlankenshipBlankenship unpublished). In contrast, the P-wave measurements at UpB show little or no anisotropy (Reference Blankenship, Bentley, Rooney and AlleyBlankenship and others in press). On the other hand, the S-wave measurements, which are more sensitive to anisotropy, do indicate a difference between the speeds of shear waves with different polarizations.
Analysis of both S-wave reflections and waves that have been converted from P to S upon reflection from the bottom of the ice on a wide-angle profile along the flow direction indicates that transversely polarized S waves (SH waves) travel 1% or 2% faster than waves polarized in the plane of the profile. Furthermore, the very fact that P waves are converted into SH waves upon reflection is direct evidence for the existence of some anisotropy at the base of the ice, Reference Blankenship, Anandakrishnan, Kempf and BentleyBlankenship and others (1987) also observe a 2% difference in wave velocity for shear waves of different polarization generated by micro-earthquakes at the base of the ice stream (Fig.8).
Nevertheless, from the P-wave evidence, it appears that the ice in the ice stream is more nearly isotropic than sheet-flow ice elsewhere in West Antarctica and at Dome C. If the anisotropic structure at Byrd Station (Reference GowGow 1970; Reference BentleyBentley 1972; Reference Kohnen and GowKohnen and Gow 1979), in the catchment area for ice stream D, is typical also of ice in the catchment area for ice stream B, then a pronounced fabric must be destroyed somewhere along the flow path. Perhaps this occurs when the ice goes through a region of strong extensional stresses at the head of the ice stream where the ice is accelerated to the ice-stream speeds.
Geophysical remote sensing also provides us with information about the dynamics of ice stream B. Part of this information comes from the new passive seismic recording system that is described by Reference Blankenship, Anandakrishnan, Kempf and BentleyBlankenship and others (1987), Twenty-six micro-earthquakes were detected and recorded during 85 hours of seismic monitoring. About half of the events were associated with crevassing near the surface of the ice stream, presumably near the margins. The most interesting phenomenon, however, was a group of 9 small micro-earthquakes occurring only minutes apart. Preliminary analysis of the location and focal mechanism of these events (Reference Blankenship, Anandakrishnan, Kempf and BentleyBlankenship and others 1987) shows that they were associated with slip on low-angle thrust planes at or near the bottom of the ice stream The paucity of micro-earthquakes arising from the bottom of the ice stream leads Reference Blankenship, Anandakrishnan, Kempf and BentleyBlankenship and others (1987) to conclude that virtually none of the energy of ice stream motion is dissipated by brittle fracture at the bed.
The complex “ridge B1/B2” zone between ice streams B1 and B2, which appears to be breaking up as the ice streams grow, has already been described. We find support for the hypothesis that ice stream B is growing headward from a consideration of its mass balance. The flux out of ice stream B into the Ross Ice Shelf is perhaps as much as twice as large as the input into the entire drainage basin of the ice stream — the apparent imbalance is 10–20 km3 a−1 (Reference Shabtaie and BentleyShabtaie and Bentley in press). Our co-operative work with Whillans (Reference Shabtaie, Bentley, Whillans, MacAyeal and BindschadlerShabtaie and others in press[a]) suggests that about half of that can be attributed to the zone in apparent transition, which has an area of about 104km2. That would imply a mean surface lowering of one or two meters per year. Surface lowerings several times this have been measured locally by Reference Whillans, Bolzan and ShabtaieWhillans and others (in press), as one might expect if the ice at a particular location is being transformed from sheet flow to ice stream flow.
The dynamics of the ice stream are bound to be fundamently affected if the deforming till is extensive underneath the ice stream. Reference Alley, Blankenship, Rooney and BentleyAlley and others (in press[b]) have developed a simple one-dimensional model for ice- stream flow on deforming till. The model assumes continuity of ice and till and a linear-viscous till rheology. The steady-state solution requires that the viscosity decrease downstream; we believe this probably results from a combination of decreasing effective pressure in the till and partial decoupling between the ice and the till. Numerical experiments with fixed ice thicknesses at the ends show that a perturbation at one end causes a wave of adjustment to travel the length of the ice stream in about 50 years, with a new steady-state attained in about 200 years. This rapid adjustment suggests that any non-steady effects observed in the ice stream probably represent continuing changes in the ice sheet above the ice stream or in the ice shelf downstream. As we discussed above, we believe that in ice stream B the deviation from steady-state reflects on-going changes at the head of the ice stream.
Ice Stream C
Ice stream C is of particular interest because it has ceased its rapid motion. It now moves less than 10 m/yr both at its grounding line (Reference Thomas, MacAyeal, Eiler, Gaylord, Bentley and HayesThomas and others 1984; Reference Bindschadler, Stephenson, MacAyeal and ShabtaieBindschadler and others in press) and at Upstream C camp (UC in Figs 1 and 3) (I.M. Whillans personal communication, 1985). Yet it clearly has been an active ice stream in the past — despite the absence of surface crevasses (Reference Robin, Swithinbank and SmithRobin and others 1970[a]) the radar-sounding records across it show the clutter echoes in the body of the ice stream and the marginal shear zones that are diagnostic of other ice streams (Reference RoseRose 1979; Reference Shabtaie and BentleyShabtaie and Bentley in press). Reference RoseRose (1979) pointed out that the depth of burial of crevasses could give the date icé stream C was last active, but the resolution of his system allowed him only to say that that date was within the last 1000 years. A sounding program we carried out on the surface at UpC using a monopulse radar revealed numerous hyperbolae generated from the tops of crevasses 30–40 m below the surface. From measurements of snow accumulation rate and density, Reference Shabtaie and BentleyShabtaie and Bentley (in press) estimate that the crevasses ceased to form about 250 years ago. As the crevasses might have been buried to some extent while ice stream C was still active, 250 years would then represent the upper limit to the time that has passed since ice stream C stagnated.
Since ice stream C is barely moving, its mass balance is strongly positive. Even if one assumes that the entire catchment area that once fed ice stream C is now diverted to ice streams B and D, the mass that falls on the surface of ice stream C itself is still eight times as large as the output flux (Reference Shabtaie and BentleyShabtaie and Bentley in press). (If one includes the nominal catchment area, the ratio is almost 40 : 1.) Clearly, then, ice stream C must be growing in elevation, and it seems likely that some time in the future it will become reactivated.
The map of surface elevations (Fig.5) (Reference Shabtaie, Whillans and BentleyShabtaie and others in press[b]) shows several minima in the surface of ice stream C. Flat spots were observed years ago by Reference Robin, Evans, Drewry, Harrison and PetrieRobin and others (1970[b]), in an area that we now know to be on the sheet-flow ice grid southwest of ice stream C (Siple ice dome). They also noted that strong radar echoes were associated with these spots, and attributed both the flat surface and the strong echoes to “pseudo ice shelves” floating on trapped subglacial water without a hydrostatic connection to the sea. Detailed work by Reference Shabtaie, Whillans and BentleyShabtaie and others (in press[b]) has indicated that strongly reflecting areas are also found beneath ice stream C, and that in some places the hydraulic pressure gradient at the bed is negative, i.e. such as to force water locally up-stream. Although a correlation between strong reflections and negative hydraulic pressure gradients has not been established, it is nevertheless interesting to speculate whether the Reference Robin and WeertmanRobin and Weertman (1973) instability mechanism, which depends upon reversals in the hydraulic pressure gradient, may become operative beneath ice stream C and lead to its eventual reactivation, rather as suggested by Reference HughesHughes (1975).
Other Ice Streams and Ridges
Ice stream A is different from ice streams B and C in its subglacial physiography (Reference Shabtaie, Whillans and BentleyShabtaie and others in press[b]). It lies against the wall of the Transantarctic Mountains on one side, and also shows a more pronounced subglacial margin on its other side than the other ice streams do. However, its surface looks very much like that of ice stream B, characterized by a ridge/trough structure parallel to ice movement with an amplitude of some 20 m (Fig.5). As on ice stream B, the surface slope diminishes downstream and out on to the “ice plain”, but in contrast to ice stream B the slope continues to diminish right to the grounding line. There is nothing in the surface appearance of ice stream A that suggests that it is fundamentally different in dynamics from ice stream B.
Ridge AB is characterized by an irregular surface topography also (Reference Shabtaie, Whillans and BentleyShabtaie and others in press[b]). One might expect on a simple sheet-flow dome or ridge that the surface contours would be smooth, indicating a simple pattern of outflow. Instead, the surface topography is characterized by a complex pattern of valleys and ridges (Fig.5), which suggests that simple equilibrium does not exist here. Ridge BC shows two domes (the larger around grid position 5.4 °S, 4.6°W, and the smaller at grid 5.9°S, 2.7 W) separated by a transverse valley. Surface slopes are smooth downstream of the larger dome, which suggests to us an equilibrium form. Farther up-stream, however, the surface again is very irregular, perhaps reflecting a complex transient interaction with the upper parts of ice streams B and C. Siple ice dome, grid south of ice stream C, displays a regular, although asymmetric, dome-like shape.
Ross Ice Shelf
Radar profiling has helped to delineate several features of the Ross Ice Shelf. Ice rises are of particular interest. Since an ice rise, by definition, is characterized by ice movement that is largely independent of the surrounding ice shelf and carries only the local accumulation in a largely radial outflow, longitudinal stresses are small and there are no surface crevasses. Consequently, radar echoes from the surface of an ice rise exhibit little clutter; this characteristic can be used for mapping. On this basis Crary Ice Rise was found by Reference Shabtaie and BentleyShabtaie and Bentley (in press) to extend about 70 km farther to the grid northwest than previously mapped, and to be flanked by two narrow, clutter-free strips with ill-defined boundaries on each side (Fig.3) that may also be ice rises.
Upstream from Crary Ice Rise there is another small area that shows a clutter-free zone on the radar record - “ice rise a” (Fig.3: grid position 5.3 °S, 2.1 °W), Although there are no boundary crevasses visible, either from the air or from the surface, the radar clutter is strong at the boundary, suggesting the presence of buried crevasses. Reference Shabtaie and BentleyShabtaie and Bentley (in press) show “ice rise a” right on the suture zone that continues down-stream along the axis of ice stream B from the point of “ridge B1/B2” (Fig.3). Recent measurements by Reference Bindschadler, Stephenson, MacAyeal and ShabtaieBindschadler and others (in press) show that “ice rise a” is moving at the same speed as the surrounding ice. Following an idea of Reference Whillans, Bolzan and ShabtaieWhillans and others (in press), we suggest that “ice rise a” is a piece of undisturbed ice that broke off the point of “ridge B1/B2” and was carried on down the ice stream more or less undeformed. It should be noted that “ice rise a” still lies up-stream of the grounding line, within the “ice plain”. Because it is moving, “ice rise a11 is not really an ice rise at all, nor is it an ice rumple, because the surrounding ice is grounded. We propose the term “glacial microplate” for such a feature, i.e. an “island” of undisturbed ice moving within an ice stream or “ice plain”. It is possible that the clutter- free strips that flank Crary Ice Rise are “glacial microplates”, and even that the up-stream end of Crary Ice Rise itself incorporates “glacial micro-terranes”.
The strong boundary crevasse zones of the ice stream mark flow bands that can be followed far out on to the Ross Ice Shelf (Reference Shabtaie and BentleyShabtaie and Bentley in press). Knowledge of the boundaries of the ice streams and their flow bands make it possible to calculate the ice discharge from each ice stream draining into the Ross Ice Shelf. Fluxes out of ice streams B and C have each been measured in two places, On ice stream B one line is at the head of the “ice plain” and the other near the grounding line. On the flow band from ice stream C, the up-stream gate is at the grounding line and the down-stream gate is about 200 km farther down-stream on the ice shelf. For neither of these pairs of gates is there a significant difference between influx and outflux (Reference Shabtaie and BentleyShabtaie and Bentley, in press). Reference Shabtaie and BentleyShabtaie and Bentley (in press) also compare the outflow from all the “Ross ice streams” to an estimate of input through snow accumulation on the whole interior of the West Antarctic ice sheet up to the ice divide. They find for the entire system a net balance that is suggestively, but not conclusively (in terms of the errors in measurement), negative by about 10–20 km3 a−1.
The ice flux into the Ross Ice Shelf from the West Antarctic inland ice can be compared with the output through a line about 100 km inland of the front of the ice shelf (Reference BentleyBentley 1985). If one assumes that the Ross Ice Shelf itself is in balance, that leads to an estimate for the average bottom melt rate of 0.11 ± 0.03 m a−1 for the part of the ice shelf that lies inland of the output line. For the whole ice shelf, the estimated total volume loss by melting on the assumption of steady state is 60 ± 15 km3 a−1. This is about half the estimate that one gets from the oceanographic measurements of Reference Pillsbury, Jacobs and JacobsPillsbury and Jacobs (1985), which give 150 ± 75 km3 a−1, after correction for the melt (30 km3 a−1) in the high melt-rate region seaward of the output line (extrapolated from Reference Giovinetto and ZumbergeGiovinetto and Zumberge (1968)). In view of the quoted errors and the fact that the calculation by Reference Giovinetto and ZumbergeGiovinetto and Zumberge (1968) was based on only one line of measurements, these estimates of melt rate cannot be considered significantly different.
Acknowledgements
This work was supported by the National Science Foundation under grant DPP-8412404, This is contribution number 461 of the Geophysical and Polar Research Center, University of Wisconsin-Madison.