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(a) The number of 1 km grid cells containing observations within a 50 km square area

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(1)

AWI

CReSIS90s CReSIS00s WISE PARIS HICARS TUD

CReSIS grid

80oN

75oN

70oN

65oN

60oN 10oE

30oW

40oW 50oW

60oW

Figure S1. Identical to Fig 1 in the main paper but at a larger scale. Data sources.

(2)

80oN

75oN

70oN

65oN

60oN 10oE

30oW

40oW 50oW

60oW

Figure S2. Flightlines for the 2012 OIB season, which became available during the paper review and have been added to the final version of the datasets linked to this publication.

(3)

-8•10-6•105 -4•105 -2•105 50 2•104•105 6•105 5 0 1 2 3

x103 # cells

-500 0 500

Easting [km]

-3000 -2500 -2000 -1500 -1000

Northing [km]

(a)

-8•10-6•105 -4•105 -2•105 50 2•104•105 6•105 5 0 80 160 240 Std. dev. (m)

-500 0 500

Easting [km]

(b)

-8•10-6•105-500-4•105 -2•105 5 00 2•104•105 5006•105 5 Easting [km]

Interior Margin (c)

0 20 40 60 80

0 20 40 60 80 100 120

0 100 200 300 400

Std. dev. (m) 0

20 40 60 80 100 120

Frequency

(d)

Figure S3. (a) The number of 1 km grid cells containing observations within a 50 km square area. (b) The standard deviation of the observations within each 50 km square area. (c) The “margin” and

“interior” regions as determined by a threshold for the standard deviation of bed elevation of 170 m for each 50 km square area. (d) A histogram of the standard deviations within each 50 km square area.

(4)

-800-600-400-200 0 200400600 -3000

-2500 -2000 -1500 -1000

# in 50km radius

0 2500 5000

-800 -400 00 400 Easting [km]

-3400 -3000 -2600 -2200 -1800 -1400 -1000 -600

Northing [km]

(a)

-800-600-400-200 0 200400600 -3000

-2500 -2000 -1500 -1000

Sparse Dense

(b)

-800 -400 00 400 Easting [km]

-3400 -3000 -2600 -2200 -1800 -1400 -1000 -600

Northing [km]

0 20 40 60 80 100 120 140

0 1•104 2•104 3•104 4•104 5•104

0 1000 2000 3000 4000 5000 6000 7000

# points in 50 km radius 0

10000 20000 30000 40000 50000

Frequency

(c)

Fig. S4. a) The number of 1 km grid cells containing an ice thickness measurement in a 50 km radius.

b) The spatial distribution of "dense" and "sparse" data coverage that was used to define which areas were interpolated at 1 km and which at 2.5 km spacing. c) The histogram of data density for all grid cells at 1 km spacing. The solid vertical line indicates the boundary between the two categories shown in Fig. b.

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