Supplementary Material Rapid thinning of the late Pleistocene Patagonian Ice Sheet followed migration of the Southern Westerlies Jake Boex(1), Christopher Fogwill (1,2), Stephan Harrison*(1) Neil Glasser (3), Christoph Schnabel(4), Andrew Hein(5), Sheng Xu (6) 1. Department of Geography, University of Exeter, Exeter, EX4 4RJ, UK. 2. Climate Change Research Centre, Faculty of Science, University of New South Wales, Sydney, New South Wales, Australia. 3. Institute of Geography and Earth Science, Aberystwyth University, Aberystwyth, Wales. 4. NERC Cosmogenic Isotope Analysis Facility, SUERC, East Kilbride, G75 0QF, UK. 5. School of GeoSciences, University of Edinburgh, Edinburgh, Scotland, UK 6. Scottish Universities Environmental Research Centre (SUERC), Scottish Enterprise Technology. Park, East Kilbride, UK G75 0QF *corresponding author Methods Geomorphological mapping and sampling strategy Detailed geomorphological analysis was undertaken in the field to ground-truth the landform mapping from satellite imagery, maps from the Institute Geographical Militar of Chile, Landsat imagery and aerial photographs. In order to establish a chronology of ice sheet thinning glacial erratics and glacially eroded bedrock was sampled from key landforms and altitudinal profiles for CRN exposure analysis using 10Be and 26Al. Exposure analysis with in situ CRN’s provides a means of directly measuring the time elapsed since the deposition of an erratic or erosion of a bedrock surface by glacial ice 1. Samples were selected to constrain the age of moraines or ice sheet trimlines; these consisted of glacially transported erratic boulders on depositional landform. Samples from erratics and bedrock surfaces were also taken to record the time at which three mountains became ice free through ice sheet thinning. Boulders were carefully selected from stable exposed geomorphic surfaces to avoid the risk of rolling or excessive snow cover as this would affect the measured exposure age. The erratics chosen were predominantly quartzrich granidiorites and around half a kilogram of whole rock was required for analysis. Samples were returned to the UK and processed at the laboratories at the NERC CIAF at SUERC and at the University of Exeter. Crushing was followed by mineral separation and chemical etching to produce clean quartz 2. The quartz was then dissolved in order to chemically extract and separate 10Be, and for seven samples were then measured by AMS at SUERC. Results for 10Be 26Al. and The extracted isotopes 26Al concentrations were converted to exposure ages using the CRONUS-Earth online calculator, version 2.2 using the NZ Macaulay landslide, NZ calibration data set (Table S2 SOM3). The Dunai time varying model4 is used for the data presented here to allow direct inter-comparison with the study by Hein5 which have been recalibrated6. No correction was made for erosion, snow cover or isostatic uplift in this study and therefore the exposure ages presented are minimum ages. Field sampling Rock samples were collected during field campaigns to during January 2008 and 2009. A mixed sampling strategy was employed taking rounded erratic boulders from depositional glacial landforms including moraines and other ice contact features and boulders perched on polished striated streamlined bedrock surfaces at exposed sites the transect. Streamlined bedrock surfaces and subsamples of upper surfaces (upper 5-7 cm) of boulder and large cobble erratics were removed manually using a 4 lb lump hammer and chisel. In each case approximately 1 kg rock was obtained per sample. Care was taken to avoid hollows and other potential areas of snow accumulation and/or drifting. Sample location and elevation were recorded using handheld GPS receivers (±10 m). Topographic shielding was measured using a sighting clinometer. Sample and location details are recorded in Table S1. Analytical methods Samples were reduced to pure quartz at the University of Exeter Cosmogenic Nuclide Laboratories following standard procedures7, 8. 9. Sample preparation was completed at the NERC Cosmogenic Isotope Analysis Facility (CIAF) at The Scottish University Environmental Research Centre (SUERC) and The University of Exeter Cosmogenic Nuclide Laboratories. Resulting 10Be/9Be ratios after carrier addition were measured by the AMS facility at SUERC10. Measurements were standardised to the NIST SRM-4325 Be standard material with a revised nominal 10Be/9Be ratio of 2.79 x 10-11[11]. At CIAF, sample preparation was carried out following the procedure described in detail in Wilson 2 with some modifications 12. The 250 – 500μm size fractions were used. The dissolution of purified quartz samples in Exeter was carried out in batches of seven samples and one blank. In that laboratory 350-500 μg 9Be carrier was used for all samples and blanks (n=4). Scharlau Be carrier solution (982mg/l, density 1.02 g/ml) was used. Blanks were spiked with 194-245μg 9Be carrier (CIAF) and 354-505 μg 9Be (Exeter). The corresponding combined process and carrier blanks 10Be/9Be ratios ranged from 3.1 – 6.6 x 10-15 (Exeter and CIAF). Sample and blank 10Be/9Be analytical uncertainties and a 2.5% carrier addition uncertainty propagated into the 1σ analytical uncertainty for nuclide concentrations. These blanks at CIAF were prepared from BeSO4 * 4 H2O (Merck, kindly provided by F. v. Blanckenburg). Blank-corrected 10Be/9Be ratios ranged from 4.2 * 10-14 to 1.8 * 10-12. For 26Al analysis at CIAF, Al carrier was added only to some samples to bring total Al to 2 mg per sample [Merck, 985 μg Al /g solution]. Full chemistry blanks (n=2) had an average 26Al/27Al ratio of 1.3 * 10-15. Blank-corrected 26Al/27Al ratios of samples ranged from 1.5 to 5.2 * 10-13. Carrier addition ranged from no carrier added to 1.8 mg 27 Al. Sample and blank 26Al/27Al analytical uncertainties and a 2.5-4.5% uncertainty for the determination of total stable Al propagated into the 1σ analytical uncertainty for nuclide concentrations. Age determinations Exposure ages were calculated using a version of the CRONUS-Earth online age calculator. In light of recent CRN calibration rate studies in Patagonia we apply the production rate for the isotopes 10Be and 26Al derived from New Zealand (NZ) that overlap at 1σ with an independently derived production rate from Lago Argentino, Patagonia 3, 6 (http://hess.ess.washington.edu/math/al_be_v22/Age_input_NZ_calib.html) (Wrapper script 2.2; Main calculator 2.1; Constants 2.2.1; Muons 1.1). We apply the recently revised 10Be half-life (1.387 Ma) 13, 14 and Be isotope ratio standardization of Nishiizumi Exposure ages are reported based on the Dunai scaling model 15 11. using the same calibration data set, ages differ by 2-4% depending on the choice of alternative scaling model. The calculator uses sample thickness (Table S2) and density to standardise nuclide concentrations to the rock surface. We used an assumed density of 2.7 g cm -3 (equivalent to the density of pure quartz). We include no correction for periodic snow cover which is thought to be negligible in this setting for these samples. No erosion and no correction for post-glacial uplift has been applied. Choice of production rate model and scaling is often a pragmatic one and is an on going subject of debate. For this reason, and to facilitate comparison with other datasets and earlier work, we also report age results using the four other most commonly used scaling schemes and the globally averaged production rate model (Table S2). The latter ages were generated using the original CRONUS-Earth calculator Version 2.2 March 2009 (http://hess.ess.washington.edu/math/al_be_v22/al_be_multiple_v22.php) 13. If the global production rate model is implemented without any calibration, ages are up to 11% younger depending on the scaling scheme used (Table S2). We consider the ages based on the regional production rate calibration dataset for NZ to be more reliable than those based on the globally averaged production rate. At our low altitude, mid latitude location this distinction is not trivial. Validation of the use of the NZ calibration data was demonstrated with independent minimum and maximum radiocarbon control in Patagonia at Lago Argentino at 50°S 6. Table S1. Sample details Sample details include SUERC AMS id, sample name, description, latitude / longitude, elevation in a format that can be entered directly into the CRONUS-Earth calculator should new site specific production rates become available16. AMS id AMS id Sample Sample Latitude Be (b) Al (a) name description (DD) Sierra Colorado upper limit b3889 SC1 Erratic -47.364250 b3981 a1091 SC2 Erratic -47.363611 b3982 a1092 SC3 Erratic -47.364183 Sierra Colorado lower limt b3883 SC4 Erratic -47.376650 b3983 a1093 SC8 Erratic -47.356806 b3888 SC9 Erratic -47.356806 Columna Moraine and highest summits of Cerro Oportus b3882 COL2 Erratic -47.223942 b3884 OW2 Erratic -47.108833 b3986 OW3 Erratic -47.109106 Lower Summit of Cerro Oportus b3980 CO5 Erratic -47.100556 b3253 a837 COC4 Erratic -47.101433 Cerro Tramango altitudinal profile b3252 a836 CTCB3 Bedrock -47.161683 b3251 a835 CTC5 Erratic -47.157700 a838 CTC11 Erratic -47.126333 Maria Elena Moraine b3989 LL460-2 Erratic -47.071056 b3880 LL460-1 Erratic -47.111472 b4786 LL586-1 Erratic -47.080531 Palaeolake shoreline b3877 LL145-1 Erratic -47.125306 Longitude (DD) Elevation (m) Elvation/ pressure Thickness (cm) Density (g cm-2) Shielding correction Erosion rate (cm yr-1) [Be-10] atoms g-1 +/atoms g-1 Be AMS standard [Al-26] atoms g-1 +/atoms g-1 Al AMS standard -71.663417 -71.664167 -71.643017 1368 1368 1407 std std std 3 3 3 2.7 2.7 2.7 0.9997 0.9997 0.9996 0.00E+00 0.00E+00 0.00E+00 1.43E+06 1.49E+06 2.37E+06 1.31E+05 4.77E+04 7.75E+04 NIST_27900 NIST_27900 NIST_27900 0.00E+00 9.113E+06 1.49E+07 0.00E+00 3.23E+05 5.12E+05 KNSTD KNSTD KNSTD -71.676800 -71.690417 -71.690417 1178 1177 1175 std std std 3 2 3 2.7 2.7 2.7 0.9998 0.9997 0.9997 0.00E+00 0.00E+00 0.00E+00 2.66E+05 3.19E+05 2.69E+05 4.30E+04 1.13E+04 5.82E+04 NIST_27900 NIST_27900 NIST_27900 0.00E+00 2.116E+06 0.00E+00 0.00E+00 8.65E+04 0.00E+00 KNSTD KNSTD KNSTD -71.786514 -72.208861 -72.208544 630 1895 1894 std std std 4 4 4 2.7 2.7 2.7 1.0000 0.9999 0.9999 0.00E+00 0.00E+00 0.00E+00 1.35E+05 3.63E+05 3.43E+05 1.61E+04 4.88E+04 1.16E+04 NIST_27900 NIST_27900 NIST_27900 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 KNSTD KNSTD KNSTD -72.115861 -72.114400 1302 1305 std std 2 3 2.7 2.7 0.9932 0.9998 0.00E+00 0.00E+00 2.22E+05 2.12E+05 7.75E+03 6.02E+03 NIST_27900 NIST_27900 0.00E+00 1.402E+06 0.00E+00 5.25E+04 KNSTD KNSTD -72.558317 -72.553139 -72.568150 1521 1259 520 std std std 3 3 3 2.7 2.7 2.7 0.9993 0.9957 0.9933 0.00E+00 0.00E+00 0.00E+00 2.38E+05 2.00E+05 1.04E+05 6.14E+03 5.85E+03 3.03E+03 NIST_27900 NIST_27900 NIST_27900 1.626E+06 1.438E+06 7.092E+05 5.60E+04 5.30E+04 4.008E+04 KNSTD KNSTD KNSTD -72.366694 -72.459833 -72.364953 463 493 586 std std std 2 2.5 4 2.7 2.7 2.7 0.9978 0.9956 0.9956 0.00E+00 0.00E+00 0.00E+00 9.82E+04 1.01E+05 1.09E+05 3.64E+03 19184.9464 2.49E+03 NIST_27900 NIST_27900 NIST_27900 0.000E+00 0.00E+00 0.00E+00 0.000E+00 0.00E+00 0.00E+00 KNSTD KNSTD KNSTD -72.604444 231 std 3 2.7 0.9974 0.00E+00 7.37E+04 1.07E+04 NIST_27900 0.00E+00 0.00E+00 KNSTD Table S2. 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