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1 Supplementary Material 2 3 4 Interseismic, megathrust earthquakes and seismic swarms along the Chilean subduction zone (38-18 S) 5 6 7 8 9 11 12 13 14 1 GPS data set We combined in a single data set the interseismic velocities published in Métois et al. [13, 14], together with the recent bolivian velocities from Brooks et al. [11] and older data sets from SAGA [Khazaradze and Klotz, 03], CAP [Brooks et al., 03] and IPG teams [Ruegg et al., 09] that we rotated in the ITRF 08 reference frame following the method described in Metois et al. [12]. Finally we rotated these velocities in the fixed South-America reference frame by applying the absolute SOAM rotation pole determined by NNR-Nuvel1A. We added to this horizontal velocity-field 72 GPS vertical displacements used by Métois et al. [14] for the central Chile area and 27 others from Ruegg et al. [09] already used by Metois et al. [12], and included these 99 independent observations in the inversion procedure with a decrease weight (see supplementary figure 1). 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 2 Models resolution The main issue in retrieving the coefficient in subduction zones with respect to continental active faults is the lack of data in the vicinity of the trench, i.e. over the first kilometers depth of the fault interface. Furthermore, we sample the deformation on the upper plate only. In order to assess the resolution of our models, we follow Loveless and Meade [11] and calculate the sensitivity of our network to each unit slip dislocation on the plate interface, or the power P of the network to resolve this unit slip (see supplementary figure 2). Our network in unable to resolve on the first km depth of the interface, exept offshore the Tongoy peninsula where we should be able to discriminate between full or null even in the shallowest nodes. We show alternative models in wich the shallowest part of the trench is forced to be fully creeping or fully locked in supplementary figure 8 that demonstrate that our network is not sensitive to from the trench to km depth. Obviously, the resolution is low at the edges of the model and in the scarsely instrumented Taltal area (25-26 S). Overall, our network is sufficiently dense to resolve the pattern between and 45 km depth. We also provide standard checkerboard tests in supplementary figure 3 that show the capability of the network to capture large (50 x 50 km) and small (25 km x 25 km) scales in the distribution. While large scale variations of the are well retrieved over almost all the subduction plane, smaller variations are only captured by the network in the to 45 km depth range. 1

33 34 35 36 37 38 39 40 3 Sliver rotation Alternative models using different smoothing constrains and plates configuration are presented in supplementary figures 6 and 7. All of them present very similar along-trench variations in the coefficient (supplementary fig.5) but often exhibits significant differences in the along-dip amount of. We used distributions that reproduce the data set with a lower than 2 nrms to plot the average lateral variations in figure 3B of the main text (red dashed lines). In the 3-plate configuration, we inverted simultaneously for the coefficient and the rotation pole of an Andean sliver. 2

26 74 70 permanent GPS stations campaign GPS stations "hinge line" 5 0 5 mm/yr Copiapo Vallenar 30 La Serena NAZCA Ovalle Los Vilos Valparaiso Santiago 34 SOAM Constitucion Concepcion 38 Fig.S 1: Combined vertical velocity field from continuous and campaign GPS measurements from [Ruegg et al., 09, Métois et al., 14]. Dashed brow line : supposed position of the hinge line. 3

15 km 45 km 82.5 km log(p) 1.5 Fig.S 2: Sensitivity of horizontal data to unit on the slab. Each element of the interface is colored by the log of the sum of the displacements (P in mm/yr) at GPS stations (dots) due to unit slip on the nearest grid node. Black crosses are slab nodes projection at surface. 4

Retrieved Synthetic Fig.S 3: Checkerboard resolution tests. Left : synthetic checkerboard distributions showing small scale (top, 25 x 25 km) or large scale (bottom 50 x 50 km) checkers. Right : distribution inverted using the synthetic velocities. 5

sm 0.1x nrms 1.647 mm/yr + 2 Fig.S 4: Best model presented in figure 3 of the main text (left) and associated residuals (right) color-coded depending on the original data-set. average 0.8 0.4 unresolved 2-plate areas 3-plate -18 - -22-24 -26-28 -30-32 -34-36 -38 latitude 0.8 0.4 Fig.S 5: Along-strike variations of the averaged value on the first 60 km depth of the slab for 2-plate (black curves) and 3-plate (red curves) models. Each curve corresponds to a distinct along-dip smoothing value. Gray shaded areas are areas lacking resolution (see supplementary Figs.2 and 3). Overall, small scale variations in the average amount are very similar between 2- and 3-plate models. However, at larger scale, we interpret the lower average value observed North of 30 S in the 3-plate models with respect to the 2-plate models as a consequence of the increasing Andean sliver motion going North. Therefore, we think this change in average is an artifact of our modeling trick to retrieve the Andes kinematics rather than a real feature. 6

Fig.S 6: 3-Plate model / varying smoothing values Coupling patterns inverted using different initial smoothing values simultaneously with the Andean sliver motion. Coupling is color coded as in main-text Figure 3. The smoothing value and the normalized root mean square 7 are indicated in the bottom left corner of each plot. -729A -689A -649A -729A -689A -649A -729A -689A -649A -729A -689A -649A -729A -689A -9A -9A -9A -9A -9A -249A -249A -249A -249A -249A -289A -289A -289A -289A -289A -329A -329A -329A -329A -369A sm 0.1x nrms 2.046-649A -369A sm 0.1x1 nrms 1.672-369A sm 0.1x nrms 1.647-329A -369A sm 0.1x0.1 nrms 1.592-369A sm 0.1x1 nrms 1.590

8 Fig.S 7: 2-Plate model / varying smoothing values Same as supplementary figure 6 but for 2-plate configuration models, i.e. without Andean sliver motion. sm 0.1x nrms 2.782 sm 0.1x1 nrms 2.163 sm 0.1x nrms 2.087 sm 0.1x0.1 nrms 2.039 sm 0.1x1 nrms 2.031

Creep at trench nrms 1.695 creep to 15 km nrms 2.423 lock to trench nrms 1.654 lock to 15 km nrms 2.436 Fig.S 8: 3-Plate models / varying constraints on shallow nodes. Same caption as supplementary figure 6 but with 0% or 0% imposed on the shallowest nodes (7.5 km depth) or down to 15 km depth. 9

A 50 EAST -5.11 mm 40 30 0 NORTH -1 mm 73 71 70 69 29 B Transient source Mw ~ 6.5 duration 60 days 30 BTON UP -0.34 mm 31 0 07 C 08 09 D (km) 30 0 0 0 0 max slip (mm) 5 30 East North Up 0.1 0 0 0 0 max slip (mm) 30 0 0 0 0 max slip (mm) Mw 7 6 5 Fig.S 9: A- East, North and Up displacements of the continuous GPS station BTON (located in B) observed (blue dots) and predicted (red line) by an elastic model in which interseismic is equivalent to the one presented in figure 3 of the main text, and a simulated slow slip event occur in 08. Offsets produced by such an event are indicated in the upper left corner of each plot. B- 50 cm contours of this simulated SSE (blue lines) and network of continuous GPS stations (squares). Interseismic is color coded. C- black lines : contours for 5,, 0.1 and mm offsets produced at BTON depending on the size (D) and maximum amplitude of the SSE. SSE magnitude is color-coded. Blue-contoured dot: SSE model used for upper figures.

41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 References B.A. Brooks, M. Bevis, R. Smalley Jr, E. Kendrick, R. Manceda, E. Lauría, R. Maturana, and M. Araujo. Crustal motion in the Southern Andes (26 36 S): Do the Andes behave like a microplate? Geochemistry Geophysics Geosystems, 4():85, 03. ISSN 1525-27. B.A. Brooks, M. Bevis, K. Whipple, J.R. Arrowsmith, J. Foster, T. Zapata, E. Kendrick, E. Minaya, A. Echalar, M. Blanco, et al. Orogenic-wedge deformation and potential for great earthquakes in the central andean backarc. Nature Geoscience, 4(6):380 383, 11. G. Khazaradze and J. Klotz. Short-and long-term effects of GPS measured crustal deformation rates along the south central Andes. Journal of geophysical research, 8(B6):2289, 03. ISSN 0148-0227. J.P. Loveless and B.J. Meade. Spatial correlation of interseismic and coseismic rupture extent of the 11 mw9.0 tohoku-oki earthquake. Geophys. Res. Lett, 38:L17306, 11. M. Metois, A. Socquet, and C. Vigny. Interseismic, segmentation and mechanical behavior of the central chile subduction zone. Journal of Geophysical Research, 117(B3), 12. M. Métois, A. Socquet, C. Vigny, D. Carrizo, S. Peyrat, A. Delorme, E. Maureira, M-C. Valderas- Bermejo, and I. Ortega. Revisiting the north chile seismic gap segmentation using gps-derived interseismic. Geophysical Journal International, 194(3):1283 1294, 13. M Métois, C Vigny, A Socquet, A Delorme, S Morvan, I Ortega, and C-M Valderas-Bermejo. Gpsderived interseismic on the subduction and seismic hazards in the atacama region, chile. Geophysical Journal International, 196(2):644 655, 14. JC Ruegg, A. Rudloff, C. Vigny, R. Madariaga, JB De Chabalier, J. Campos, E. Kausel, S. Barrientos, and D. Dimitrov. Interseismic strain accumulation measured by GPS in the seismic gap between Constitución and Concepción in Chile. Physics of the Earth and planetary interiors, 175(1-2): 78 85, 09. ISSN 0031-91. 11