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Supplementary Material for Circum-Arctic mantle structure and long-wavelength topography since the Jurassic Shephard, G. E., Flament, N., Williams, S., Seton, M., Gurnis, M., and Müller, R.D. Supplementary Methods Absolute reference frames and Net Lithospheric Rotation (NLR) The hybrid absolute plate reference frame of Seton et al. (2012) (case C2) is based on a moving Indian/Atlantic hotspot model (O’Neill et al., 2005) for times younger than 100 Ma and on a True Polar Wander (TPW)-corrected palaeomagnetic model (Steinberger and Torsvik, 2008) for older times (Table 2). The use of the hybrid absolute plate motion of O’Neill et al. (2005) and Steinberger and Torsvik (2008) implies NLR in excess of 0.4°/Myr between ~40-60, 65-80, 110-115 and 180-215 Ma (Figure S13). NLR is large at present-day in a Pacific hotspot reference frame (~ 0.44°/Myr HS3, Conrad and Behn, 2010) and geologically recent NLR (since ~ 50 Ma) has an overall westward direction with estimated rates previously 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

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Page 1: authors.library.caltech.eduauthors.library.caltech.edu/53454/...Material_Shephard… · Web viewSupplementary Material for. Circum-Arctic. mantle structure and long-wavelength topography

Supplementary Material for

Circum-Arctic mantle structure and long-wavelength topography since the

Jurassic

Shephard, G. E., Flament, N., Williams, S., Seton, M., Gurnis, M., and Müller, R.D.

Supplementary Methods

Absolute reference frames and Net Lithospheric Rotation (NLR)

The hybrid absolute plate reference frame of Seton et al. (2012) (case C2) is

based on a moving Indian/Atlantic hotspot model (O’Neill et al., 2005) for times

younger than 100 Ma and on a True Polar Wander (TPW)-corrected

palaeomagnetic model (Steinberger and Torsvik, 2008) for older times (Table 2).

The use of the hybrid absolute plate motion of O’Neill et al. (2005) and

Steinberger and Torsvik (2008) implies NLR in excess of 0.4°/Myr between ~40-

60, 65-80, 110-115 and 180-215 Ma (Figure S13). NLR is large at present-day in

a Pacific hotspot reference frame (~ 0.44°/Myr HS3, Conrad and Behn, 2010)

and geologically recent NLR (since ~ 50 Ma) has an overall westward direction

with estimated rates previously ranging between 1.5-9 cm/year (or

~0.11+_0.03°/Myr) depending on reconstructions (e.g. Ricard et al., 1991;

Becker, 2006; Torsvik et al., 2010). While a component of NLR throughout time

may be real, increasing uncertainty of the plate reconstruction back in time may

result in unrealistically large NLR, especially concerning the velocities of the

large plates comprising Panthalassa. Our plate models are constructed with

continuously closing plates (Gurnis et al., 2012), which allow us to define global

surface velocity fields through time and to calculate the NLR implied by a given

reference frame as in Torsvik et al. (2010) and Alisic et al. (2012).

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We used three approaches to minimize NLR from the absolute reference frame in

our geodynamic model cases (Tables 2 and S3); (i) computing and removing the

NLR from the plate reconstruction (case C3), (ii) including a low-viscosity

asthenosphere to decouple the lithosphere from the sub-asthenospheric mantle

(cases C2 and C8) and (iii) changing the absolute reference frame by using the

finite rotations from the moving hotspot reference frame of Torsvik et al. (2008)

rather than that of O’Neill et al. (2005) for ages younger than 70 Ma (models C1,

C4, C5 as well as C6-C8). We also change the absolute motion of the Pacific during

the Cenozoic by changing the poles of rotation between east and west Antarctica

(from Cande et al. [2000] to Granot et al. [2013]). The resultant NLR for this

latter absolute plate motion model (C1, C4-C8) is < 0.4°/Myr for all times,

although it is slightly more elevated for the last 20 Ma (~ 0.18°/Myr) than the

previous reference frame (O’Neill et al., 2005; Steinberger and Torsvik, 2008:

~0.12°/Myr; C2, Table 2, Fig. S13).

In addition to differences in the absolute reference frame we explored different

mantle parameters including viscosity profile, initial slab depth, slab dip and

basal layer density (Figs. S3, S4, S6-8, S10-15, Table S3). We find that changes in

dynamic topography are small and do not affect our main conclusions. Rates of

dynamic topography for alternative cases C3-C5 are usually in the order of ±5

m/Myr from those of C1 (Table S1, S2), and are compatible with the geological

constraints presented in the main text (see Figs. 7e-h). Notably, under Eurasia,

alternative cases C3-C5 (Figs. S10) predict a similar two-slab configuration

(Mongol-Okhotsk slab to the west and north-eastern Panthalassa slab to the

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east) to those of C1 but with locations offset by ± 5° longitude (10° to the east for

slab (m) in C5, though the use of a depth-dependent viscosity was not ideal, see

below). Case C4, illustrates that increasing the slab dip does not significantly

change the results.

In addition to C1-C5 and in the interests of illustrating the main suite of

parameters tested (see also Flament et al., 2014) we present an extended set of

eight cases (C1-C8) in Figs. S14 and S15. These figures illustrate our investigation

of the effect of rheological parameters on lower mantle structure and our

selection of a set of parameters for C1 by visual comparison between predicted

mantle temperature and seismic tomography along arbitrary cross-sections. For

example, C6 and C8 both include a linear increase in viscosity for the lower

mantle; looking under Eurasia (Fig. S15) in case C6, which has a higher density

basal layer, the predicted volume of slabs is systematically too small, whereas in

case C8, which has a lower density basal layer and asthenosphere, slabs are

significantly offset compared to seismic tomography. C7, which also has a lower

basal density over-predicts the amount of slab material and has dominant

upwellings. Under North America (50°N, Figure S14) the alternative cases are

similar to each other and to seismic tomography (no qualitatively “best” case,

though C8 seems to under-predict slab volumes at this location). We therefore

opted for a dense basal layer and a layered viscosity structure, with no depth-

dependent viscosity in the lower mantle for reference case C1. Note that the

influence of alternative parameters on the pattern of dynamic topography (right

panels of Figs. S14 and S15) is small; our main conclusions are largely unaffected

by parameter selection.

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Supplementary References

Alisic, L., Gurnis, M., Stadler, G., Burstedde, C., and Ghattas, O., 2012, Multi-scale

dynamics and rheology of mantle flow with plates. Journal of Geophysical

Research, v.117 doi:10.29/2012JB009234

Ballance, P.F., 1993, in South Pacific Sedimentary Basins v.2 of Sedimentary

Basins of the Word P.F., Balance (Ed) Elsevier Amsterdam p.93-110.

Becker, T.W., 2006, On the effect of temperature and strain-rate dependent

viscosity on global mantle flow, net rotation, and plate-driving forces.

Geophysical Journal International v.167 p.943-957.

Cande, S.C., Stock J.M., Müller, R.D. and Ishihara, T., 2000, Cenozoic motion

between East and West Antarctica, Nature v.404 p.145-150.

Conrad, C.P. and Behn, M.D., 2010, Constraints on lithosphere net rotation and

asthenospheric viscosity from global mantle flow models and seismic anisotropy.

Geochemistry, Geophysics and Geosystems v.11 doi:10.1029/2009GC002970

Granot, R., Cande, S.C., Stock, J.M., and Damaske, D., 2013, Revised Eocene-

Oligocene kinematics for the West Antarctic rift system. Geophysical Research

Letters v.40 p.279-284.

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Gurnis, M., Turner, M., Zahirovic, S., DiCaprio, L., Spasojevic, S., Müller, R., Boyden,

J., Seton, M., Manea, V., and Bower, D., 2012, Plate Tectonic Reconstructions with

Continuously Closing Plates. Computers and Geosciences, v. 38 p. 35-42.

Flament, N., Gurnis, M., Williams, S., Seton, M., Skogseid, J., Heine, C and Müller,

R.D. 2014. Topographic asymmetry of the South Atlantic from global models of

mantle flow and lithospheric stretching. Earth and Planetary Science Letters v.

387, p. 107-119.

O'Neill, C., Müller, R.D., and Steinberger, B., 2005, On the Uncertainties in Hotspot

Reconstructions, and the Significance of Moving Hotspot Reference Frames:

Geochemistry, Geophysics, Geosystems, v. 6 doi:10.1029/2004GC000784.

Ricard, Y., Doglioni, C., and Sabadini, R., 1991, Differential rotation between

lithosphere and mantle. A consequence of lateral mantle viscosity variations.

Journal of Geophysical Research v.96 p.8407-8415.

Seton, M., Müller, R.D., Zahirovic, S., Gaina, C., Torsvik, T.H., Shephard, G., Talsma,

A., Gurnis, M., Turner, M., Maus, S., and Chandler, M., 2012 Global continental and

ocean basin reconstructions since 200 Ma. Earth-Science Reviews v.113 p.212-

270 doi:10.1016/j.earscirev.2012.03.002

Steinberger, B., and Torsvik, T., 2008. Absolute plate motions and true polar

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wander in the absence of hotspot tracks. Nature v.452 p.620–624.

doi:10.1038/nature06842.

Sutherland, R., 1995, The Australia-Pacific boundary and Cenozoic plate motions

in the SW Pacific: Some constraints from Geosat data. Tectonics v.14 p.819-831.

Torsvik, T., Steinberger, B., Gurnis, M., and Gaina, C., 2010. Plate tectonics and net

lithosphere rotation over the past 150 My. Earth and Planetary Science Letters

v.291 p.106-112.

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Supplementary Figures

Supplementary Figure Captions

Figure S1. 180-30 Ma evolution of the plate reconstruction (Shephard et al.,

2013 with a modified reference frame, Table 2) assimilated in the mantle flow

models. The absolute reference frame used here is that of case C1. Reconstructed

plate boundaries (black lines with teeth located on overriding plate), coastlines

(dark grey lines), continental lithosphere (grey polygons) and ages of oceanic

lithosphere (see colour scale) are shown, as well as velocities (black arrows).

Major plates and oceans labeled as AM Amerasia Basin, AFR Africa, CCR Cache

Creek oceanic plate, EUR Eurasia, GRN Greenland, FAR Farallon, IZA Izanagi,

MOK Mongol-Okhostk, NAM North America, SAO South Anuyi Oceans.

Orthographic projection centered on 30°W. Additional reconstruction ages are

shown in Fig. 2.

Figure S2. Top panels, maps of predicted time-dependent temperature field

from case C1 at 1000 km depth. Bottom panels, maps of predicted present-day

temperature field for case C1 at different depths from 500 km to the near the

core-mantle boundary (CMB ~2900 km). Slabs labeled as in text and Figs. 3-5.

Present-day coastlines superimposed in black for reference. Cold material (T <

0.45) is inferred to represent subducted lithosphere whereas hot material

represents upwelling from the thermal boundary layer along the CMB.

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Figure S3. Predicted present-day mantle temperature field for cases C3-C5 at

different depths from 500 km to near the core-mantle boundary. Present-day

coastlines superimposed in black for reference. Cold material (T < 0.45) is

inferred to represent subducted lithosphere whereas hot material represents

upwelling from the thermal boundary layer along the CMB. Slabs labeled as in

text and Figs. 3-5 and S6-S8, S10.

Figure S4. Predicted time-dependent mantle temperature for cases C3-C5 at

1000 km depth. Present-day coastlines superimposed in black for reference. Cold

material (T < 0.45) is inferred to represent subducted lithosphere whereas hot

material represents upwelling from the thermal boundary layer along the CMB.

Figure S5. Predicted time-dependent mantle temperature for cases C1 and C2

(Table 2) and comparison to seismic tomography for the present-day. As in

Figure 3 but for a cross-section at 50°N latitude across NAM (130-30°W).

Inferred slabs from this vertical cross-section result from subduction along the

north-eastern margin of Panthalassa (a, c, d) and along the intra-oceanic

subduction zone of the Wrangellia Superterrane (b).

Figure S6. Predicted evolution of mantle temperature for cases C3, C4 and C5

(Table S3) and comparison to seismic tomography for the present-day. Top

panels, orthographic projection of cross-section at 50°N latitude across NAM

(130-30°W) superimposed on location of subduction zones and predicted

present-day temperature at ~1500 km depth. Inferred slabs from this vertical

cross-section correspond largely to subduction along the north-eastern margin

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of Panthalassa and along the intra-oceanic subduction zone of the Wrangellia

Superterrane. Panels in green box show seismic velocity anomalies for three

tomography models with 0.45 mantle temperature contours overlain for cases

C3 (green), C4 (black) and C5 (purple).

Figure S7. Predicted time-dependent mantle temperature for cases C3, C4 and

C5 (Table S3) and comparison to seismic tomography for the present-day. As in

Figure S6 but for a cross-section at 30°N latitude across NAM.

Figure S8. Predicted time-dependent mantle temperature for cases C3, C4 and

C5 (Table S3) and comparison to seismic tomography for the present-day. As in

Figure S6 but for a cross-section at 40°W latitude under Greenland (40-90°N). At

150 Ma, two subducting slabs are captured in case C3, 75°N and 85°N, and a

single slab at 75°N is clearly imaged in cases C4 and C5 with a second smeared

slab under 85°N. The difference in location and dip of subducting slabs at this

fixed vertical cross-section is a function of absolute reference frames used (Table

S3).

Figure S9. Predicted evolution of mantle temperature for cases C1 and C2 (Table

S3) and comparison to seismic tomography for the present-day. As in Figure 3

but for a cross-section at 60°N longitude under Siberia (90-180°E). Inferred slabs

within this cross-section correspond largely to subduction of the Izanagi Plate

along the north-western margin of Panthalassa (p).

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Figure S10. Predicted time-dependent mantle temperature since initial

conditions for cases C3, C4 and C5 (Table S3) and comparison to seismic

tomography for the present-day. As in Figure S6 but for a cross-section at 60°N

latitude under northern Eurasia (0-100°E). Inferred slabs within this cross-

section largely result from subduction along the northern margin of the Mongol-

Okhotsk Ocean (m) and along the northwestern margin of Panthalassa (p). Note

that case C3 has an initial slab depth to 1750 km (Table S3) as opposed to the

alternative cases, which are to 1210 km.

Figure S11. Air-loaded surface dynamic topography for cases C3-C5 between

170-0 Ma, as in Figure 6. Stars indicate location of selected reconstructed Arctic

points as in Fig. 1. Orthographic projection centered on 30°W.

Figure S12. Predicted evolution of dynamic topography for cases C3-C5 at

selected circum-Arctic locations grouped into four geographic regions between

170-0 Ma (based on the plate reconstruction). The colours of the plotted lines

match the colours of the stars in Fig.1, and solid for C3, thick for C4 and dashed

for C5. Note the broad subsidence predicted for most locations from 170 Ma to

between ~70-50 Ma followed by slowed subsidence or uplift to present day.

Values are detailed further in Table S2. Air-loaded results shown for all locations

except for Lomonosov Ridge and Barents Sea which are water-loaded.

Figure S13. Evolution of Net Lithospheric Rotation (NLR) for the five main

reconstructions used herein (Table 2, S3), and present-day NLR calculated from

reference frame HS3, based on Pacific hotspots (0.44°/Myr). NLR evolution was

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computed in 1 Myr increments, which is the interval at which boundary

conditions are defined for the geodynamic models. Conrad and Behn (2010)

proposed that 60% of HS3 (0.26°/Myr) is the geodynamically reasonable limit

for NLR. Larger NLR from the reconstructions likely reflects the motion of large,

fast-moving plates of Panthalassa, for which the reconstruction uncertainty is

large before 83.5 Ma. NLR computed using the same relative plate motions as in

Seton et al. (2012) and the absolute reference frame of Doubrovine et al. (2012)

is shown for reference in green. The peak amplitudes at ~80 Ma for DBV is larger

than in Fig. 9 of Doubrovine et al. (2012) that showed NLR computed in 10 Myr

incrmenets. Other small differences may also arise due to different Pacific plate

boundaries and the use of a Pacific plate circuit via Antarctica (Seton et al., 2012;

Shephard et a;., 2013) rather than via the Lord Howe Rise (Doubrovine et al.,

2012).

Figure S14. Left panels, predicted present-day mantle temperature for cases C1-

C8 (Tables 2, S3) and comparison to seismic tomography, middle panels. Details

are as in Figs. 3 and S5, this location is at 50°N latitude across NAM (130-30°W).

Right panels show the evolution of dynamic topography for the North American

region illustrating the similarity between models despite variation in the

predicted lower mantle structure.

Figure S15. As in Figure S14. Left panels, predicted present-day mantle

temperature for cases C1-C8 (Tables 2, S3) and comparison to seismic

tomography for the present-day, middle panels. This location is at 60°N latitude

across Eurasia (0-100°E). Right panels show the evolution of dynamic

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topography for the Barents Sea region illustrating the similarity between models

despite variation in the predicted lower mantle structure.

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Table S1: Evolution of air-loaded dynamic topography (*except for Barents Sea and Lomonosov Ridge which are water-loaded) and its

rate of change at selected circum-Arctic locations through time for our preferred case C1. The time intervals between ~170, ~100, ~50

and 0 Ma were chosen to capture the main changes in dynamic topography trends and are to be used as a guide in conjunction with

Figure 7. Note that shorter wavelength subsidence or uplift or changes in rates may occur within these intervals (see main text and Fig.

7)..

Absolute (m, top

panels) and

change in

dynamic

topography

(m/Myr, bottom

panels,

coloured/italic)

Barents Sea and adjacent region

Fennoscandia Barents Sea* Svalbard Franz Josef Land

~170 Ma329.6 10.2 223.9 -57.6

~100 Ma 33.0 -482.7 -285.9 -463.6

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~50 Ma-213.4 -640.1 -522.9 -608.7

0 Ma-159.8 -350.3 -465.2 -501.8

Rate 170-100 Ma -4.3 -7.1 -7.4-5.9

Rate 100-50 Ma -4.7-3.1

-4.6 -2.8

Rate 50-0 Ma 1.1 5.9 1.2 2.2

Greenland

North Greenland South Greenland East Greenland West Greenland

~170 Ma354.2 667.0 475.1 633.4

~100 Ma-113.7 329.6 181.8 164.9

~50 Ma-537.3 -223.6 -245.9 -417.3

0 Ma-696.7 -543.6 -476.7 -660.2

Rate 172-100 Ma-6.8 -4.9 -4.3 -6.8

Rate 100-50 Ma-8.1 -10.6 -8.2 -11.2

Rate 50-0 Ma -3.3 -6.5 -4.7 -5.0

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Siberia

Siberian Traps East Siberia Lomonosov Ridge* Taimyr Peninsula

~170 Ma-660.7 -850.0 -247.8 -530.9

~100 Ma-491.8 -903.6 -808.9 -620.6

~50 Ma-565.3 -946.0 -1071.7 -690.2

0 Ma-454.6 -823.3 -1085.4 -608.6

Rate 170-100 Ma2.4 -0.8

-8.1 -1.3

Rate 100-50 Ma-1.4 -0.8

-5.2 -1.3

Rate 50-0 Ma2.3 2.5

-0.3 1.7

North America and Canadian Arctic Islands

Slave Craton North Slope Banks Island Ellesmere Island

~170 Ma2.6 -262.0 -27.6 123.9

~100 Ma-1095.2 -884.1 -801.4 -428.7

~50 Ma -733.6 -677.9 -804.6 -728.9

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0 Ma-441.4 -601.1 -677.2 -815.6

Rate 170-100 Ma -15.9 -9.0 -11.2 -8.0

Rate 100-50 Ma 7.0 4.0 -0.1 -5.8

Rate 50-0 Ma 6.0 1.6 2.6 -1.8

Table S2: Evolution of air-loaded dynamic topography (* except for Barents Sea and Lomonosov Ridge which are water-loaded) and its

rate of change at selected circum-Arctic locations through time for three alternative cases, separated by commas in order of C3, C4, C5.

The time intervals between ~170, ~100, ~50 and 0 Ma were chosen to capture the main changes in dynamic topography trends and are

to be used as a guide in conjunction with Figure S12. Note that shorter wavelength subsidence or uplift or changes in rates may occur

within these intervals (see main text and Figs. 7 and S11, S12).

Absolute (m, top

panels) and

Barents Sea and adjacent region

Fennoscandia Barents Sea* Svalbard Franz Josef Land

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change in

dynamic

topography

(m/Myr, bottom

panels,

coloured/italic)

~170 Ma 156.5, 363.1, 251.7 -33.4, -158.0, 26.7 223.3, 274.6, 162.0 -5.6, 53.9, -28.7

~100 Ma 57.1, 115.6, 110.0 -506.5, -368.2, -336.7 -216.0, -210.9, -206.9 -490.0, -391.1, -407.6

~50 Ma -233.4, -144.8, -263.4 -994.8, -598.0, -868.4 -695.2, -482.7, -658.0 -875.9, -590.3, -796.7

0 Ma -371.3, -139.0, -598.9 -968.6, -382.3, -1016.9 -733.3, -540.3, -883.1 -817.5, -548.8, -868.0

Rate 170-100 Ma -1.4, -3.5, -2.0 -6.8, -1.2, -5.3 -6.3, -6.9, -5.3 -7.1, -6.3, -5.4

Rate 100-50 Ma -5.8, -5.3, -7.5 -9.7, -4.7, -9.0 -9.6, -5.5, -9.0 -7.7, -4.1, -7.8

Rate 50-0 Ma -2.8, 0.1, -6.7 0.5, 4.2, -3.0*

*uplift from 15Ma

-0.8*, -1.1*, -4.5

*uplift from 9 and 3

1.2, 0.8, -1.4*

*uplift from 15Ma

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Ma respectively

Greenland

North Greenland South Greenland East Greenland West Greenland

~170 Ma 298.8, 378.7, 252.4 534.0, 620.9, -463.5 316.2, 476.9, 347.2 540.3, 589.7, 422.9

~100 Ma -21.2, -42.5, -45.6 418.8, 358.7, 333.3 226.0, 244.6, 224.1 303.4, 200.2, 180.4

~50 Ma -613.6, -451.0, -605.1 -71.5, -151.9, -274.7 -197.2, -167.7, -311.7 -292.9, -354.1, -489.3

0 Ma -847.4, -804.8, -957.7 -513.7, -584.4, -791.2 -572.0, -448.9, -770.0 -690.9, -730.5, -902.8

Rate 172-100 Ma -4.6, -6.0, -4.3 -1.6, -3.7, -1.9 -1.2, -3.3, -1.8 -3.4, -5.6, -3.5

Rate 100-50 Ma -11.8, -8.3, -11.2 -9.8, -10.4, -12.2 -8.5, -8.4, -10.7 -11.9, -11.3, -13.4

Rate 50-0 Ma -4.7, -6.9, -7.1 -8.8, -8.4, -10.3 -7.5, -5.5, -9.2 -8.0, -7.3, -8.3

Siberia

Siberian Traps East Siberia Lomonosov Ridge* Taimyr Peninsula

~170 Ma -714.4, -471.4, -588.0 -810.8, -653.9, -748.1 -93.1, -60.8, -158.3 -451.2, -300.7, -371.5

~100 Ma -771.9, -456.3, -568.9 -1099.5, -875.7, -1024.2 -923.2, -707.9, -754.7 -825.0, -546.4, -656.2

~50 Ma -835.8, -487.7, -549.6 -1086.6, -915.9, -1024.3 -1451.8, -1057, -1356.3 -1012.0, -707.4, -933.3

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0 Ma -645.7, -363.8, -588.0 -796.6, -773.7, -821.9 -1348.2, -1230.3 -

1435.0

-806.6, -573.4, -759.3

Rate 170-100 Ma -0.8, 0.2, 0.3 -4.1, -3.2, -3.9 -11.9,-9.2, -8.5 -5.3, -3.5, -4.1

Rate 100-50 Ma -1.3, -0.6, 0.4 0.3, 0.8, 0.0 -10.6, -7.1, -12.0 -3.7, -3.2, -5.5

Rate 50-0 Ma 3.8, 2.4, -0.8 5.8, 2.8, 4.0 2.1, -3.3, -1.6*

*uplift from 30 Ma

4.1, 2.6, 3.5

North America and Canadian Arctic Islands

Slave Craton North Slope Banks Island Ellesmere Island

~170 Ma 221.8, -41.2, -177.1 37.4, -191.5, -278.0 219.1, -6.8, -96.0 210.7, 184.1, 82.0

~100 Ma -896.0, -1097.2, -

1160.4

-930.3, -885.3, -906.7 -624.1, -749.9, -712.4 -339.3, -352.2, -348.6

~50 Ma -901.7, -836.8, -998.0 -841.0, -768.0, -857.7 -988.1, -879.7, -1044.8 -873.1, -697.1, -874.8

0 Ma -452.5, -561.2, -606.8 -613.4, -660.0, -817.0 -730.0, -795.2, -850.0 -911.4, -938.0, -1013.1

Rate 170-100 Ma -16.0, -15.1, -14.0 -12.8, -9.9, -9.0 -12.0, -10.6, -8.8 -7.9, -7.7, -6.2

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Rate 100-50 Ma -0.1, 5.3, 3.2 1.8, 2.4, 1.0 -7.3, -2.6, -6.6 -10.7, -7.0, -10.5

Rate 50-0 Ma 9.0, 5.4, 7.8 4.6, 2.1, 0.8 5.2, 1.7, 3.9 -0.8*, -4.7, -2.8*

*uplift from 9 and

10Ma respectively.

Table S3: Acronyms and alternative model details referred to in this study.

Name/Acronym Base plate

reconstruction

Absolute reference frame (prior

to NLR correction)

Net Lithospheric rotation

(NLR) correction

Viscosity profile*

Initial slab depth

Slab dip

Basal layer density

C3 Shephard et al. (2013) Moving hotspots 0-100 Ma Removed from plate 1,1,1,100

274

275

276

277

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(O’Neill et al., 2005)

TPW-corrected palaeomagnetic

100-200 Ma (Steinberger and

Torsvik, 2008)

reconstruction. Minimal NLR

remaining (<0.1°/Myr, Fig.

S13).

1750 km

45° (<660 km) then 90°

+3.6%

C4 Shephard et al. (2013) Moving hotspots 0-70 Ma

(Torsvik et al., 2008)

TPW-corrected palaeomagnetic

105-200 Ma (Steinberger and

Torsvik, 2008; interpolation

between 70-105 Ma)

Minimized from plate

reconstruction (NLR

<0.4°/Myr, Fig. S13) and by

using new poles of rotation

for E-W Antarctica (Granot et

al., 2013) $

1,1,1,100

1210 km

58° (<425 km) then 90°

+3.6%

C5 Shephard et al. (2013) Moving hotspots 0-70 Ma

(Torsvik et al., 2008) and TPW-

corrected palaeomagnetic 105-

Minimized from plate

reconstruction (NLR

<0.4°/Myr, Fig. S13) and by

1,1,1,10 100

1210km

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200 Ma (Steinberger and Torsvik,

2008) (interpolation between 70-

105 Ma)

using new poles of rotation

for E-W Antarctica (Granot et

al., 2013)$

45°

+1.7%

C6 Shephard et al. (2013) Moving hotspots 0-70 Ma

(Torsvik et al., 2008)

TPW-corrected palaeomagnetic

105-200 Ma (Steinberger and

Torsvik, 2008; interpolation

between 70-105 Ma)

Minimized from plate

reconstruction (NLR

<0.4°/Myr, Fig. S13) and by

using new poles of rotation

for E-W Antarctica (Granot et

al., 2013) $

1,1,1, 10 100

1210km

45°

+3.6%

C7 Shephard et al. (2013) Moving hotspots 0-70 Ma

(Torsvik et al., 2008)

TPW-corrected palaeomagnetic

105-200 Ma (Steinberger and

Minimized from plate

reconstruction (NLR

<0.4°/Myr, Fig. S13) and by

using new poles of rotation

1,1,1,100

1210km

45°

+1.7%

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Torsvik, 2008; interpolation

between 70-105 Ma)

for E-W Antarctica (Granot et

al., 2013) $

C8 Shephard et al. (2013) Moving hotspots 0-70 Ma

(Torsvik et al., 2008) and TPW-

corrected palaeomagnetic 105-

200 Ma (Steinberger and Torsvik,

2008) (interpolation between 70-

105 Ma)

Minimized from plate

reconstruction (NLR

<0.4°/Myr, Fig. S13) and by

using new poles of rotation

for E-W Antarctica (Granot et

al., 2013).$ Minimized in

the lower mantle by the

low-viscosity

asthenosphere in the

dynamic model.

1,0.1,1, 10 100

1210km

45°

+1.7%

$ Granot et al. (2013) describes motion in the West Antarctic Rift System from Chron 18o (40.13 Ma) until around Chron 8o (26.5 Ma,

Cande et al., 2000; Granot et al., 2013). A plate boundary likely existed between East and West Antarctic earlier in the Cenozoic, though

the timing of extension is poorly constrained (Cande et al., 2000; Cande and Stock, 2004). For times earlier than Chron 18o we model

278

279

280

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extension within the West Antarctic Rift System using the C18o pole of rotation from Granot et al. (2013) but with a larger angle to

minimize the amount of deformation implied in New Zealand, which is considered to be tectonically quiescent during this period

(Ballance, 1993; Sutherland, 1995).

* Factor applied to reference viscosity (1021 Pa s) for mantle above 160 km (lithosphere), between 160 and 310 km (asthenosphere),

between 310 and 410 km (upper mantle) and below 670 km (lower mantle). The “” symbol indicates that the viscosity linearly

increases with depth between the two listed values.

281

282

283

284

285

286

287

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288

289