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# Widespread distribution of supraglacial lakes around the margin of the East Antarctic Ice Sheet

### Subjects

An Author Correction to this article was published on 31 January 2020

This article has been updated

## Abstract

Supraglacial lakes are important to ice sheet mass balance because their development and drainage has been linked to changes in ice flow velocity and ice shelf disintegration. However, little is known about their distribution on the world’s largest ice sheet in East Antarctica. Here, we use ~5 million km2 of high-resolution satellite imagery to identify >65,000 lakes (>1,300 km2) that formed around the peak of the melt season in January 2017. Lakes occur in most marginal areas where they typically develop at low elevations (<100 m) and on low surface slopes (<1°), but they can exist 500 km inland and at elevations >1500 m. We find that lakes often cluster a few kilometres down-ice from grounding lines and ~60% (>80% by area) develop on ice shelves, including some potentially vulnerable to collapse driven by lake-induced hydro-fracturing. This suggests that parts of the ice sheet may be highly sensitive to climate warming.

## Introduction

Supraglacial lakes (SGLs) form when meltwater ponds in depressions on the surface of a glacier or ice sheet1. They range in size from a just a few metres to tens of kilometres in area1,2,3,4 and they play an important role in an ice sheet’s mass balance. Firstly, they decrease the ice surface albedo and increase the absorption of incoming solar energy, thereby setting up a positive feedback that may further enhance melting5,6,7. Secondly, their rapid drainage has been implicated in the collapse of floating ice shelves8,9,10,11,12, which can then cause increased ice discharge from tributary outlet glaciers13,14. Thirdly, the drainage of SGLs to the bed of grounded ice in Greenland has been linked to transient speed-ups in ice velocity15,16,17,18,19. This process has yet to be observed in Antarctica, although it has been noted that future warming could increase the connectivity between surface and basal hydrological systems20.

To date, much of the research on SGLs has focused on the Greenland Ice Sheet (GrIS)1,2,3,5,6,7,15,16,17,18,19,21,22,23,24,25 and, to a lesser extent, ice shelves in the Antarctic Peninsula, particularly Larsen B Ice Shelf8,9,10. Until very recently, there were fewer reports of their existence in East Antarctica, which hosts the world’s largest ice sheet, and where surface melting is thought to be less intense and generally restricted to near-coastal regions26,27,28,29. However, the margins of the EAIS extend to latitudes of ~66° S (comparable to the Larsen B Ice Shelf), which contrasts with the margins of the neighboring West Antarctic Ice Sheet (typically south of 75° S). Moreover, several recent studies have shown that SGLs are more widespread than previously thought, and are often connected to channelized drainage systems on the ice sheet surface4,20,30,31,32,33. Indeed, it has been noted that future warming could increase surface melt and that such drainage systems could deliver excess meltwater to ice shelves that may be vulnerable to collapse4,11,20,29,34, unless surface channels export meltwater off the ice shelf33.

Despite recent progress, the underlying processes governing meltwater production, ponding and runoff in East Antarctica remain unclear20,33. For example, Antarctic-wide estimates of surface meltwater production are now available from both satellite data and regional climate modelling20,28, but there are, as yet, no comprehensive and consistent observations of where excess meltwater is ponding and generating SGLs across the entire ice sheet surface. One recent study4 identified ~700 drainage systems (SGLs connected to surface streams), but this was thought to be an underestimation due to the spatial and temporal coverage of the satellite imagery, which was acquired from multiple years and not necessarily from the summer melt season. A recent review20 of Antarctic surface hydrology highlighted the need for robust observations of processes related to surface melt, noting that new high-resolution satellite sensors (such as Landsat 8 and Sentinel) could help address this data void.

In this paper, we analyze ~5 million km2 of imagery from Landsat 8 and Sentinel 2A and use a consistent semi-automated approach to identify and quantify the distribution and extent of SGLs produced around the peak of a single melt season in January 2017 (see Methods). Note that the austral summer of 2016/2017 was characterised by an unprecedented retreat of Antarctic sea ice linked to atmospheric circulation anomalies35, which may also have increased ice sheet surface melting. With this in mind, our aim is to determine where meltwater is ponding in SGLs and to use these spatial patterns to understand the controls on their distribution. We deliberately focus on capturing the first consistent observations of their spatial distribution across the whole ice sheet, rather than tracking their temporal evolution through time, which is perhaps better suited to regional studies30,31 and which is currently precluded by image availability across the whole ice sheet. We then discuss their potential impact on ice sheet mass balance and stability, specifically in relation to ice shelves that are deemed potentially vulnerable to hydro-fracturing11.

## Results

The duration of the East Antarctic melt season varies according to location and from year to year, but mid- to late-January typically coincides with the warmest part of the austral summer in most marginal regions of the ice sheet26,27,31,36. Given our focus on ascertaining a consistent record of the spatial extent of SGLs around the peak of the melt season, we therefore limited our imagery to January 2017. This is a part of the first Antarctic (austral) summer to benefit from the near-complete coverage of medium-resolution imagery from the Sentinel 2A (up to 10 m) and Landsat-8 (up to 15 m) satellites. Due to the difficulty of acquiring a single image mosaic of the whole ice sheet on the same day (or even from within a period of a few weeks), these images span 1st January to 31st January 2017, but with the majority from mid- to late January (see Supplementary Figs 1 and 2).

Our dataset includes 65,459 SGLs that had formed on the EAIS in January 2017 (digital shapefiles (.shp) available in Supplementary Data 1). We find that SGLs are far more widespread than previously recognized and, similar to Greenland, occur in most peripheral regions of the ice sheet with particularly high densities in Wilkes Land, Queen Mary Land, Mac. Robertson Land, Enderby Land and Dronning Maud Land (Fig. 1). Significantly, lake area densities in these regions, including on both grounded and floating ice, are ~0.05 km−2, which is similar to mean values (0.07 km−2) reported for well-studied regions of the GrIS3. We also discover SGLs in several regions where their widespread development has not been previously reported, such as Kemp Land, Terre Adélie and George V Land (Fig. 1).

The cumulative area of SGLs amounts to 1,383.5 km2 (±13.8 km2) and individual lakes range in area from 0.0002 km2 (our minimum threshold for lake detection: see Methods) to a maximum of 71.5 km2 (±0.7 km2). It is likely that our analysis misses very small lakes that fall below our minimum threshold, but they are unlikely to add substantially to the total area (see Methods). The largest lake is an elongate feature tens of kilometres long on the Amery Ice Shelf, Mac. Robertson Land (Fig. 2a). Previous work noted a lake in this location, which likely forms seasonally in a longitudinal trough in the ice surface4,37. It is far larger than some of the largest lakes reported from the grounded portions of the GrIS (e.g. 16.9 km2, ref.2), but lakes approaching this size are rare: only 11 lakes in our dataset from East Antarctica are >10 km2. Indeed, the size-frequency distribution of SGLs in East Antarctica is highly skewed towards smaller lakes (Fig. 3a), with a mean of 0.021 km2 and a median of 0.001 km2 (st. dev. 0.459 km2). Similar positively-skewed size-frequency distributions (albeit with much smaller sample sizes) have been reported from the GrIS3,21,22,23,25 and the Antarctic Peninsula3,9 (Supplementary Fig. 7). Our mean and median values are, however, much smaller than most other inventories, due to our semi-automated method and its application to much higher resolution imagery across the entire ice sheet23,25.

The potential influence of SGLs on ice sheet dynamics will depend on whether they form on grounded ice or floating ice shelves4,20. Using a previously-published grounding line map38, we find that 38,476 lakes (60.4% of lakes, but comprising 81.6% of the total lake area) occur on floating ice, with a clear clustering of lakes within a few kilometres down-ice from grounding line locations (Figs 3d and 4). Indeed, SGLs do not gradually increase in number towards the margin of the ice sheet, most of which is floating. Rather, there are numerous instances where lake occurrence decreases and they are absent towards the calving front of ice shelves (e.g. Fig. 4a), which has been observed in other localized studies30,32. An analysis of the distance of each lake to the ice margin indicates a modal value (13%) between 0 (representing the ice margin) and 20 km from the margin (Fig. 3c), but the distribution is clearly multimodal, with other peaks occurring much further inland. This perhaps seems counterintuitive, but it is due to large clusters of SGLs that exist at low elevations and below (down-ice from) the grounding line on the Amery Ice Shelf (Figs 1 and 2), which extends >500 km inland from the ice sheet margin. More generally, ~38% of lakes in East Antarctica occur at elevations from 0 to 100 m (Fig. 3b) and the vast majority of lakes (80.6%) form on slopes <1° (Fig. 3e). This clearly relates to their prevalence on low-elevation ice shelves with low surface slopes.

There is also a positive skew when the frequency distribution of lakes is plotted by ice velocity (Fig. 5), which also reflects the preferential development of lakes on slower-flowing ice shelves with low surface slopes. A similar analysis4 from a much smaller sample in Antarctica (n = 700) found two thirds of surface drainage features (streams and ponds) originated on ice flowing <120 m a−1. For comparison, we find that just less than half of the population of lakes (48.9%) formed on ice flowing <120 m a−1. Indeed, thousands of lakes form on rapidly-flowing ice (i.e. >500 m a−1) and these tend to form in longitudinal troughs between flow-stripes on outlet glaciers and/or where they transition into ice shelves (e.g. Figs 2a, 4b and 5b). Large numbers of lakes in the upper reaches of the Amery Ice Shelf are likely to account for some of the peaks in lake frequency on ice flowing at higher velocities (Fig. 5a,b).

Despite their predominance at low elevations (Fig. 3b) and below (down-ice from) grounding line locations (Fig. 3d), we also find that SGLs extend to much higher elevations and further inland than previously recognized in East Antarctica. The number of lakes above the grounding line (25,267) represents ~40% of the total population and their cumulative area (253 ± 2.53 km2) equates to ~18% of the total. Thousands of lakes exist at elevations >500 m and hundreds >1000 m (Figs 3b and 6). These elevations are higher than reported in most previous localized studies in East Antarctica, which generally found lakes up to only a few hundred metres in elevation30,31,36, although small surface streams have been observed up to 1,830 m in the Transantarctic Mountains20. Thus, our observations reveal upper elevations (1583 m: Fig. 6) that are close to those observed on the GrIS21,24. Where lakes form far inland and at higher elevations, it has been noted that they are typically associated with nunataks4. We find that 35% of SGLs form within 10 km of exposed bedrock (Fig. 3f) and, at the highest elevations (>800 m), ~90% of lakes occur within 2 km of exposed bedrock (Fig. 6b).

## Discussion

### Controls on the occurrence and distribution of SGLs

At the ice-sheet scale, our observations reveal that the development of SGLs is clearly influenced by ice surface slope (Fig. 3e) and that the majority of lakes form at low elevations (<300 m: Fig. 3b) close to and just beyond the grounding line (Figs 3d and 4). The link between ice surface elevation and slope is unsurprising, given that low elevation areas are typically warmer and low surface slopes are conducive to the ponding of excess meltwater; similar relationships have been observed on the GrIS21. The clustering of lakes near to and immediately down-ice from grounding lines is, perhaps, less intuitive, but recent work has shown that this can be explained by regional scale wind-patterns and localized ice-albedo effects20,32. Low elevation areas close to the grounding line in East Antarctica are often subject to persistent katabatic winds from the ice sheet interior20,32. These winds warm and mix the air as it flows downwards, leading to near-surface summer temperatures that can be >3 °C higher than regions further up- or down-ice, and with the consequence that meltwater production is doubled close to the grounding line compared to areas farther down-ice32. Moreover, strong near-surface winds result in substantial snow erosion, exposing lower-albedo blue-ice areas near grounding lines that further enhance surface melting in those regions32,39.

Surface drainage systems can also deliver water from higher elevation grounded ice to lower elevation areas, whereupon it is more likely to be stored on flatter surfaces just beyond the grounding line4,31,32. In some locations, these channels can transport meltwater across the ice shelf and directly into the ocean33, but it is far more common for the channels to drain into new lakes or simply terminate, beyond which SGLs are generally absent30,32 (Figs 4a and 5c). Their absence towards the outer limits of ice shelves is, again, less intuitive, but likely reflects the lower melt-to-accumulation ratios in near coastal regions32. That is, although melt duration and intensity generally increase towards the coast27,28,40, accumulation (snowfall) is also higher and the firn air content (FAC) is correspondingly higher32. This allows any surface melt to percolate into the firn and precludes the formation of SGLs. However, whilst it was generally assumed that most East Antarctic ice shelves had a high FAC, recent evidence has shown that this may not be the case and that extensive meltwater-induced firn air depletion is occurring32. This is because SGLs and channels down-stream of grounding lines are draining to englacial positions, and then being advected within the ice shelf and progressively submerged beneath snow/firn32. Thus, large areas of saturated firn and/or refrozen ice lenses may exist in several East Antarctic ice shelves and are likely to influence the vulnerability of ice shelves to hydrofracturing11,41 (discussed below).

Elsewhere, blue-ice areas and the presence of nunataks would appear to be the most important controls on the far more sporadic appearance of SGLs at higher elevations4,20,36 (Fig. 6). Exposed bedrock and blue-ice areas have a lower albedo and locally increase the absorption of incoming solar energy32,36,39. Moreover, nunataks and blue-ice areas tend to co-exist because exposed bedrock not only increases melt through its lower albedo, but may also locally increase wind speeds, thereby further lowering the ice/snow surface and increasing the area of exposed rock and blue-ice4. As noted previously4, these effects are likely to be particularly important in explaining the development of lakes at high elevations (see Fig. 6) that would otherwise be too cold for surface melting and which can be difficult to capture in regional climate models42.

On a more local scale, a precondition for the development of SGLs are ice surface depressions and our analysis suggest that these are available across a wide range of ice velocities (Fig. 5). Large numbers of lakes form on slow-flowing ice, with around half occurring on ice flowing <120 m a−1. This likely reflects the large number of lakes on generally slow-flowing ice shelves, where surface topography is generated by a range of processes, such as surface flow-stripes and rumples inherited from grounded ice flow upstream3 or from internal stresses generated within ice shelves3,43. More recently, it has been found that basal channels formed by meltwater eroding the underside of ice shelves can also influence ice shelf surface topography and divert meltwater into surface fractures44,45. The filling and draining of fractures can also induce further ice shelf flexure and crevasse formation10,12. In contrast, surface depressions on grounded ice are closely linked to the underlying bed topography and the transmission of basal variability has been shown to increase under higher ice velocities46. Ice surface depressions related to underlying bedrock are likely to persist and are known to anchor lakes in the same location each year1,3. In other locations, longitudinal surface structures (known as ‘flow-stripes’) develop as a result of increased strain, particularly in areas of flow acceleration and confluence47,48. Large numbers of highly elongate SGLs are often found in the intervening troughs between flow-stripes (Figs 2a and 5b) and similar troughs can also form at the lateral shear margins of outlet glaciers/ice shelves33, where meltwater production might also be enhanced by the lower albedo of adjacent rock-walls (e.g. Fig. 4b).

In summary, SGLs occur in most low elevation, gently-sloping marginal areas of the EAIS, which reflects the fact that the ice sheet margin extends to relatively low latitudes where summer temperatures are high enough for surface melting to occur20,27,28,40. However, the distribution of lakes is highly variable and they occur in clusters of higher density (Fig. 1) that do not obviously correlate with the areas of highest melt obtained from radar backscatter27,28 or coarse-resolution (e.g. 27 km) regional climate modelling40,42. Rather, clusters of high lake density reflect the interaction between local-scale climatic controls and ice surface characteristics, including regional-scale wind patterns, ice surface albedo and topography, and firn air content and thickness32,42,49. Thus, the complex interplay of these local-scale processes makes it difficult to predict the location of SGLs based only on the current generation of Antarctic-wide observations and modelling of surface meltwater production.

### Potential impact on ice sheet mass balance

SGLs can potentially influence ice sheet mass balance in three main ways20, which we now consider: (i) reducing ice surface albedo and increasing ablation; (ii) draining to the ice sheet bed and locally enhancing basal lubrication; and (iii) draining through the ice and fracturing ice shelves, leading to their collapse.

The lower relative albedo of SGLs means that the ablation rate at the bottom of a lake can be up to two times higher than on a nearby ice surface6. Thus, the high density of SGLs in some regions of East Antarctica (Fig. 1) has the potential to locally enhance melt rates, which could create a more negative surface mass balance than would otherwise be the case. However, many of the lakes we observe, particularly those at higher elevations, are likely to re-freeze27,40,50, and others might simply drain into the firn layer, as can be observed on several ice shelves30,32 (e.g. Figs 4 and 5). Thus, unless the excess melt generated by SGLs is exported via surface channels and off the ice sheet33, this process is unlikely to impact on net surface mass balance50. It has been noted, however, that percolation and refreezing of meltwater into the firn layer can exert a localised warming effect on ice temperatures through the release of latent heat51,52. Indeed, recent work on one outlet glacier in East Antarctica has hypothesized that englacial penetration of meltwater and/or the filling of crevasses can increase the ice temperature, soften the ice, and lead to a seasonal speed-up of ice shelf flow53. Moreover, future warming is likely to increase surface melting in Antarctica4,20,29,34,54,55. Over long time-scales, this increase in melting could trigger a positive feedback whereby enhanced surface melt leads to surface lowering and a larger proportion of the ice sheet surface below the equilibrium line that is then subject to more intense melting20. Recent work from Greenland has demonstrated a clear correlation between total lake area and annual surface runoff21, as well as their inland expansion during more intense melt years and over decadal time-scales7,22,24. Localised studies in East Antarctic have found similar relationships31,53. Thus, any future warming in East Antarctica is likely to lead to similar increases in the cumulative area of SGLs and the locally-enhanced melt associated with their development is likely to play a greater role in the surface mass balance20.

The drainage of SGLs to the bed of the GrIS has been linked to transient speed-ups in the velocity of grounded ice15,16,17,18,19 but this process has yet to be observed in Antarctica20. However, we note that drainage events have been documented on floating ice in East Antarctica31,32 and our results provide a clear indication of where SGLs occur in the highest densities (Fig. 1). Furthermore, we estimate that hundreds of lakes in our dataset are likely to be of sufficient volume to drain, particularly those on floating ice. This is based on an area-volume scaling relationship derived from a linear regression (R2 = 0.86) of lake areas and volumes measured in two previous studies in Antarctica on Larsen B Ice Shelf56 and on the Langhovde Glacier, East Antarctica31. Similarly strong relationships have been found for lake areas and volumes on the GrIS22,25,57 and our approximation gives a total volume of ~1 km3 (~1 Gt liquid water), with maximum lake volumes up to 0.05 km3. Mean volumes are only 0.000015 km3 (st. dev. 0.0003 km3), but ~1,500 SGLs in our dataset (70% of these are on floating ice) are likely to contain water volumes that are greater than the average volume calculated for lakes on the Larsen B Ice Shelf prior to its collapse56 (Supplementary Fig. 7). Clearly, these estimates are only first order approximations and further work could use more sophisticated depth retrieval algorithms25,58,59,60 to explore the temporal evolution of lake volumes and to search for possible drainage events on both grounded and floating ice.

Potentially of most significance to ice sheet mass balance are the large number of lakes (~39,000) that we observe on floating ice shelves that fringe the EAIS. These lakes constitute 60.4% of the total number of lakes, but 81.6% of the total lake area. Their potential importance stems from observations that SGLs provide effective reservoirs to drive the process of hydro-fracturing, whereby meltwater fills crevasses and the resultant water pressure propagates the tip of the crevasse until full-thickness fracture occurs8,61. The filling and draining of SGLs has also been shown to induce ice-shelf flexing, which can also generate fractures10,12,62. Of particular concern is that many ice shelves exert a buttressing effect that restrains the flow of ice further upstream63,64. In such cases, their disintegration (e.g. via hydrofracturing), can trigger an acceleration in the flow velocity and discharge of their tributary outlet glaciers, as has been observed in the Antarctic Peninsula13,14.

Of particular relevance to our study is recent work that has shown that several ice shelves in East Antarctica are dynamically important in terms of buttressing inland ice64 (e.g. in Wilkes Land); and that some of these ice shelves may be more vulnerable to hydro-fracturing than previously thought11. Specifically, a recent study11 used the relationship between active microwave backscatter and average annual melt days to create a relative index that shows ice shelf vulnerability to surface-melt induced collapse via hydrofracture across Antarctica. Consistent with observations41,52, they found several ice shelves on the Antarctic Peninsula have significantly ice-saturated firn layers that make them vulnerable to surface meltwater ponding and hydrofracture11, but they also noted several ice shelves in East Antarctica had relatively high vulnerability indices, e.g. the Amery, West, and Shackleton ice shelves. As mentioned earlier, these ice shelves experience high melt rates due to localised katabatic winds converging over their grounding lines20,32. Shackleton Ice Shelf, for example, experiences upward of 60 days of melting per year27, with melt rates as high as 200 mm w.e. a−1 (ref.28).

Ice shelves with low FAC and high vulnerabilities were interpreted to have the potential to support SGLs11, but the presence/absence of lakes was not investigated in any detail. However, our data clearly show that high densities of lakes exist on some of the ice shelves deemed vulnerable to hydrofracturing, particularly near to the grounding lines of Amery, Shackleton and Moscow University ice shelves (Fig. 7b–d). We would, of course, expect to find lakes on ice shelves that are inferred to have ice-saturated firn layers, but our analysis provides a useful indication of where lakes are already developing in their highest densities, and also shows that some ice shelves with a high vulnerability index have very few lakes present (Fig. 7). Of particular concern, however, would be ice shelves which have a high vulnerability to fracturing, a high areal density of lakes, and which have been shown to be dynamically important in terms of their buttressing effect64. Moscow University Ice Shelf and Shackleton Ice Shelf would fit this category (Fig. 7) and the future evolution of SGLs in Wilkes Land is particularly important given future predictions of decreased FAC in this region55 and recent concerns over the retreat and mass loss from some of its outlet glaciers65,66,67. In contrast, although the Amery Ice Shelf supports the highest densities of lakes in our analysis and has a high vulnerability index11, its thickness and geometry within a narrowing embayment and several pinning points would suggest that it is highly unlikely to collapse68. This illustrates a very important point, which is that lake drainage, either on grounded or floating ice, will only occur when the necessary stress conditions are met69. Thus, hydrofracturing of ice shelves is not simply related to the distribution and volume of water in SGLs, but some stress condition, linked to ice shelf geometry and lateral boundary conditions, must also occur11,19,64. For example, in Wilkes Land65,66,70, and elsewhere in East Antarctica53,71, it is thought that sea-ice can affect the stress conditions of floating ice shelves/tongues by exerting an important buttressing force.

To summarise, our discovery of the widespread development of SGLs around the margins of the EAIS holds important implications for its mass balance and the stability of some of its major outlet glacier catchments. We have shown that surface meltwater is ponding in most peripheral regions of the ice sheet and much further inland and at much higher elevations than previously observed4. In this sense, its surface hydrology bears a close resemblance to the GrIS. Our dataset represents an important benchmark that could be used to test whether SGLs will enlarge and perhaps begin to appear at higher elevations, which has recently been observed21,24 and modelled7 in Greenland, but which is modulated by local albedo effects, ice surface topography and firn properties. Given that the austral summer of 2016/2017 is likely to have been an above-average melt year35, future surveys could also seek to better understand the inter-annual variability in SGL development and the extent to which January 2017 may have been unusual. Indeed, our methodological framework facilitates the rapid processing and consistent mapping of thousands of SGLs. Furthermore, the burgeoning availability of imagery and ice velocity datasets should allow regional studies to map lakes at a much higher temporal resolution to search for possible drainage events and ice dynamical effects25. Finally, numerical ice sheet models indicate that the storage of meltwater in marginal areas, and particularly ice shelves, is likely to be critical to the future stability of some major marine-based catchments in East Antarctica under a warning climate54. Our findings of widespread development of SGLs on floating ice could provide either a test, or constraint, for some of those models, and clearly indicate that some regions of the EAIS may be closer to the threshold of instability than previously thought.

## Methods

### Satellite image acquisition

Our primary source of imagery was from Sentinel 2A, which represents the highest spatial resolution imagery (10 m) that is available free of charge (from the Copernicus Open Access Hub: https://scihub.copernicus.eu/). We acquired all cloud-free scenes available from January 2017, but also included a smaller proportion (~10%) of scenes with minimal cloud cover (<10%) of the marginal areas of the ice sheet. Due to incomplete image coverage and/or scenes with larger amounts of cloud cover, we supplemented the Sentinel 2A imagery with cloud-free scenes from the Landsat-8 Operational Land Imager (OLI), which were acquired free-of-charge from the United States Geological Survey (USGS) Earth Resources Observation Science (EROS) Centre (https://eros.usgs.gov). The majority of lakes were mapped using the Sentinel imagery (~75%), but Landsat was particularly useful to search for lakes further inland and to fill gaps in between Sentinel imagery. The multi-spectral bands of the Landsat-8 images were ‘pan-sharpened’ to 15 m using the panchromatic Band 8 and the High Pass Modulation (HPM) method. This was to bring the spatial resolution of the Landsat imagery closer to that of the Sentinel imagery, but it should be noted that the coarser resolution might be unable to detect some small lakes that would be mapped on the Sentinel imagery (see Errors and Uncertainties, below). In total, we acquired 312 individual scenes totaling almost 5 million km2, see Supplementary Fig. 1. The temporal coverage of the imagery is shown in Supplementary Fig. 2. Only ~600 km of the ice sheet’s margin was unable to be observed, largely due to a lack of cloud-free scenes in January 2017, representing ~6% of the perimeter. Images were displayed and manipulated in the Geographic Information Systems (GIS) software ArcMap (http://desktop.arcgis.com), where all subsequent analyses, described below, were undertaken.

### Image processing and automated supraglacial lake identification and mapping

Various approaches have been used to map the area of SGLs on satellite imagery, including manual delineation and a range of automated/semi-automated techniques (e.g. refs2,4,9,21,23,25,31). Given the large size of our study area and the large number of scenes to be analysed, we used the semi-automated Normalised Difference Water Index (NDWI). Although most glaciological studies use a variant of the NDWI that includes the blue and red bands25,33,72,73, we found that the standard NDWI equation performed very well compared to manual digitization (see Supplementary Figs 36). This equation (Eq. 1) was therefore used to classify each image into ‘water’ or ‘no-water’ regions using a threshold value that was interactively selected:

$$NDWI=\frac{{\rm{Green}}-{\rm{NIR}}}{{\rm{Green}}+{\rm{NIR}}}$$
(1)

where ‘Green’ is Band 3 of the Sentinel imagery and Band 3 of the Landsat 8 imagery, and ‘NIR’ is Band 4 of the Sentinel imagery and Band 5 of the Landsat imagery. Threshold values > 0.2 to >0.5 are commonly used to identify lakes25,33, with higher thresholds typically leading to the identification of smaller numbers of lakes (and smaller individual lake areas), and excluding shallower areas or areas of slush; and with lower thresholds tending to identify larger numbers of lakes (and larger lake areas), and potentially including shallow lakes and areas of slush. In this study, we experimented with a number of thresholds within this range and found a value of >0.3 performed most accurately compared to manual digitization (see Supplementary Figs 46). This value is similar to the threshold of 0.25 to identify ponds on the Nansen Ice Shelf, East Antarctica33. In addition to quantitative comparisons with manual delineation techniques, we also undertook visual comparisons between lake outlines and the underlying imagery. We found that our threshold prevented any obvious misclassifications with blue-ice areas, which cover around 1.7% of Antarctica74 (see Errors and Uncertainties below).

The NDWI assigns each pixel a value, which was classified as ‘lake’ or ‘no lake’ using our threshold of >0.3. Following previous work24,31, and to reduce noise in the initial output, we used a minimum size-threshold of two pixels for lake detection, which gives a minimum lake size of 200 m2 for Sentinel and 450 m2 for Landsat imagery. Pixels classified as lakes in a raster image were then converted to a vector format (shapefile) in ArcGIS (Supplementary Figs 3 and 4). To further reduce noise and improve the visual clarity of the dataset, we then applied a majority filter to generalize the edge of polygons, and used the dissolve function to clean up overlapping pixels. We then applied the aggregate tool to combine pixels within a distance of 20 m (2 pixel resolution in the Sentinel data). Apart from potentially reducing large numbers of very, very small SGLs (<200 m2), these changes were largely cosmetic and are insignificant in terms of the uncertainties associated with identifying lakes and calculating total lake area, described in the next section. The lake outlines are available as GIS shapefiles (.shp) in Supplementary Data 1 and all data used in our analysis are available in a spreadsheet in Supplementary Data 2.

### Quantification of errors and uncertainties in supraglacial lake mapping

Initially, we performed a visual cross-check of the lake polygons against the underlying imagery and removed any obvious false positives (less than a few hundred), which were mainly associated with nunataks, blue ice areas74 or areas of shadow cast by nunataks. We then quantified the uncertainties of our automated mapping technique by comparing our results with those obtained from manual digitization. Three sample areas containing a variety of SGL shapes and sizes deemed to be broadly representative of the range of lake characteristics across the ice sheet were selected. The boundaries of lakes were manually digitized on screen making full use of various band combinations and varying the scale to suit the size of the lake (see Supplementary Fig. 4). We then compared the manually-digitized lake areas to those calculated from the automated NDWI method (e.g. Supplementary Fig. 5) and found very close agreement between the two methods (Supplementary Fig. 6). In general, manual digitizing tended to generate slightly larger individual lake areas, but this varied according to the size of individual lakes (Supplementary Fig. 6), with the smallest lakes (<0.01 km2) generating the largest percentage differences, but where the absolute area differences were obviously much smaller. For larger lakes, the two methods were much more similar. However, the differences between the total lake area for each of the three sample areas (Supplementary Fig. 4) were all <0.5%. We therefore conclude that whilst individual lake areas might vary using each method, especially for very small (<0.01 km2) lakes, the total area of lakes mapped across much larger areas is likely to be very similar for each technique and we assign a conservative uncertainty of 1% to our total lake area of 1,383 km2. It is also worth noting that varying the threshold that was applied to the NDWI output (but without obviously misclassifying lakes) was within the range gleaned from the manual versus automated digitizing uncertainty.

Quantifying the uncertainty regarding lake identification (as opposed to lake area) and, therefore, the total number of lakes is much more difficult, especially with limited ‘ground truth’ data. Having compared our mapped lake outlines with imagery and removed obvious ‘false positives’, we are confident that there are very few (if any) non-lake areas in our dataset. However, it is much more difficult to ascertain and quantify how many lakes might be missing from our January 2017 dataset, especially very small lakes.

Firstly, it is important to note that it was not possible to acquire all imagery on the same day and so we had to sample/observe imagery from different days in January (see Supplementary Fig. 2). In areas where we had several images available, we sampled the image closest to the middle of January around the likely peak of the melt season. This means that we may have missed some lakes that developed relatively late in the melt season in some areas, but this may be counteracted by early ‘freeze-up’ in other areas. Moreover, in some regions we only had images available from early January (when lakes may yet have reached their full extent) or late January (when lakes may have started to freeze over). Thus, our dataset is likely to be representative of the broad distribution and surface area of lakes across the ice sheet in mid-January, but that the number of lakes and their total area, should probably be viewed as a minimum for the peak of the melt season in January 2017.

Secondly, it is likely that some very small and/or shallow lakes were not identified (e.g. <0.0002 km2), especially where we were restricted to using the 15 m Landsat 8 imagery. We sampled several small areas where some of the smallest lakes in our dataset were clustered. In these regions, there is often a transition from what is likely to be saturated firn to small, shallow ponds, and to larger and more obvious lakes (see also ref.33). Thus, it is very difficult to work to a binary definition of ‘lake’ versus ‘non-lake’ in these areas, especially given the resolution of the imagery (field observations would encounter similar issues). It is for this reason that we use a lower size threshold of 0.0002 km2 (200 m2) and we performed some of the statistical filters to clean and generalize our SGL polygons. This is another reason why we view our estimate of the total number of lakes as a minimum and why their cumulative surface area is also likely to be a minimum. That said, even if we had missed ~25% of the total number of lakes identified in our dataset (i.e. ~16,000) that existed at our minimum size limit (0.0002 km2), they would together only add 3.2 km2 to our total area of 1,383 km2 (just 0.2%). We also compared the results from the automated mapping of the same area to test the impact of image resolution. Clearly, mapping from Sentinel 2A imagery enabled the detection of smaller lakes (minimum of 200 m2) compared to the Landsat 8 (450 m2), but the agreement was generally excellent for lakes >450 m2. Overall, we suggest that whilst our estimate of the number of lakes is a only a minimum, any missing lakes (e.g. not mapped in the Landsat imagery) are unlikely to add substantially to the total area of 1,383 km2 and this certainly falls well below our total lake area uncertainty of 1% (13.8 km2). Moreover, the absolute number of lakes is less useful/important than their distribution and cumulative area (e.g. when comparing patterns across the ice sheet and between different regions).

### Estimating supraglacial lake volumes

Although algorithms exist to calculate the depth/volume of SGLs and have been used successfully in smaller study areas (and with generally small numbers of satellite scenes)25,58,59,60, there are additional complications when attempting to consistently extract lake depth from hundreds of scenes across two different sensors. Moreover, our study is primarily focused on the distribution and surface area of lakes across the whole ice sheet. Nevertheless, in order to provide a simple first order approximation of the likely volume of each SGL, we regressed lake area against lake volume for two Antarctic datasets from the pre-collapse Larsen B ice shelf on the Antarctic Peninsula56 (n = 8,398) and Langhovde Glacier in East Antarctica31 (n = 1,738). We acknowledge that these two settings may not be representative of the full spectrum of lakes in our dataset, but they reveal a strong and significant relationship (r2 = 0.86) between area (A) and volume (V), albeit with greater scatter of volumes at lower areas (Supplementary Fig. 7). We use this regression to derive an area-volume scaling (Eq. 2), which was then applied to our dataset to estimate the likely range of volumes (Supplementary Fig. 8) where:

$$V=7.16{e}^{-4}A$$
(2)

Similarly strong area-volume scaling relationships have been reported from several studies in Greenland that suggest that lake volume is highly dependent on lake area22,25,57.

### Extracting supraglacial lake characteristics from ice sheet topography and velocity data

Each SGL was represented by a polygon within a single vector shapefile (e.g. Supplementary Fig. 4) and we used the GIS software (ArcMap) to automatically extract the location (geometric centroid of each lake polygon, using a Polar Stereographic projection) and surface area of each lake. To extract data on the ice sheet surface topography associated with each lake, we used the Bedmap2 continent-wide dataset of ice thickness (gridded at 1 km resolution)38. This allowed us to extract values of surface elevation at the geometric centre of each SGL. We also converted the ice surface topography into a slope map to extract the surface slope of the ice sheet topography at the location of each lake. Bedmap2 also provides a ‘rock mask’, which we used to calculate the planar distance of the nearest edge of each lake polygon to the nearest edge of exposed rock. Closer inspection of the rock mask dataset indicated that some very small nunataks were missing (due to the spatial resolution of the Bedmap2 dataset) and so a small number of the lakes might be nearer to bedrock than we measured, i.e. distances presented in Figs 3f and 6 are likely to be maximum distances to bedrock. Similar analyses were undertaken to calculate the distance of each lake to the coastline and the distance of each lake to the grounding line, both of which were acquired from the Bedmap2 study. We are aware that the Bedmap2 grounding line has been updated and the accuracy improved in some regions, but it remains the only consistent pan-ice-sheet product and recent updates/changes to grounding line positions are insignificant given the broad aims of our continent-wide survey (e.g. our 5 km bin range in Fig. 3d). Finally, we also extracted the ice surface velocity at the location (geometric centroid) of each lake from a recently published dataset75 (gridded at 450 m) based on satellite radar interferometry (2007–2009).

Note that 1,716 lakes were located beyond the ice margin provided in the Bedmap2 dataset. This appeared to be due to changes in the ice margin (i.e. advance of ice tongues/ice shelves) since the compilation of the Bedmap2 dataset. Thus, we did not analyse the physiographic characteristics of this small percentage (2.6%) of the overall population of lakes, although we do include them in our calculations of the number and area of lakes.

### Comparison to ice shelf vulnerability to hydrofracture

A recent study11 quantified an ice shelf vulnerability index for Antarctica based on the relationship between active microwave backscatter data and average annual melt days. This was based on field data from a transect in Greenland that demonstrated that backscatter values increased with increasing mean annual melt days until specular reflections due to large, continuous ice lenses in the firn layer at very high melt days causes the backscatter to decrease. They used these relationships to create an index that quantified ice shelf vulnerability to surface-melt-induced collapse via hydrofracture, which was then applied to Antarctica. This assumed that the ice shelf backscatter/melt days relationship represents the temporal evolution that any given ice shelf might experience under changing climate conditions. This allowed them to identify which ice shelves are currently, or may soon be, vulnerable to hydrofracture. We compared our data on lake area density (total lake area per 15 km2) to this previously-published vulnerability index (ranging from 0 to 1, with 1 indicating high vulnerability). The vulnerability data were supplied in tagged image format (.tif) and gridded at 4.45 km resolution, which we ingested into our GIS for directly comparison (see Fig. 7).

## Data Availability

The mapped supraglacial lake polygons are available as digital GIS shapefiles (.shp) in Supplementary Data 1. A spreadsheet of supraglacial lake characteristics (in Microsoft Excel format) is available in Supplementary Data 2.

## Change history

• ### 31 January 2020

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

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## Acknowledgements

C.R.S., B.W.J.M. and S.S.R.J. were funded by a Natural Environment Research Council grant (NE/R000824/1). We acknowledge the United States Geological Survey (USGS) Earth Resources Observation Science (EROS) Centre and the Copernicus Open Access Hub for free access to the satellite imagery used in this study. We also thank Karen Alley for providing the data relating to the ice shelf vulnerability index in Figure 7 and for useful discussions with Jennifer Arthur. The manuscript benefited from the comments of two anonymous reviewers and the Editor, for which we are very grateful.

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### Contributions

C.R.S., S.S.R.J. and J.E.S. designed the study. J.E.S. led the data collection and analysis with guidance from C.R.S. and S.S.R.J. and with further input from A.A.L. and B.W.J.M. B.W.J.M. generated the final dataset and drafted most of the figures. All authors contributed to the analyses and interpretations of the dataset. C.R.S. led the writing of the manuscript with input from all authors.

### Corresponding author

Correspondence to Chris R. Stokes.

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Stokes, C.R., Sanderson, J.E., Miles, B.W.J. et al. Widespread distribution of supraglacial lakes around the margin of the East Antarctic Ice Sheet. Sci Rep 9, 13823 (2019). https://doi.org/10.1038/s41598-019-50343-5

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