Publisher: GSA Journal: GEOL: Geology Article ID: G33829 1 Drainage capture and discharge variations driven by 2 glaciation in the Southern Alps, New Zealand 3 Ann V. Rowan1*, Mitchell A. Plummer2, Simon H. Brocklehurst1, Merren A. Jones1, 4 and David M. Schultz1 5 1 6 Manchester M13 9PL, UK 7 2 8 *Current address: Institute of Geography and Earth Sciences, Aberystwyth University, 9 Aberystwyth SY23 3DB, UK. 10 11 School of Earth, Atmospheric and Environmental Sciences, University of Manchester, Idaho National Laboratory, Idaho Falls, Idaho 83415-2107, USA ABSTRACT Sediment flux in proglacial fluvial settings is primarily controlled by discharge, 12 which usually varies predictably over a glacial–interglacial cycle. However, glaciers can 13 flow against the topographic gradient to cross drainage divides, reshaping fluvial 14 drainage networks and dramatically altering discharge. In turn, these variations in 15 discharge will be recorded by proglacial stratigraphy. Glacial-drainage capture often 16 occurs in alpine environments where ice caps straddle range divides, and more subtly 17 where shallow drainage divides cross valley floors. We investigate discharge variations 18 resulting from glacial-drainage capture over the past 40 ka for the adjacent Ashburton, 19 Rangitata, and Rakaia basins in the Southern Alps, New Zealand. Although glacial- 20 drainage capture has previously been inferred in the range, our numerical glacier model 21 provides the first quantitative demonstration that this process drives larger variations in 22 discharge for a longer duration than those that occur due to climate change alone. During Page 1 of 16 23 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 the Last Glacial Maximum, the effective drainage area of the Ashburton catchment 24 increased to 160% of the interglacial value with drainage capture, driving an increase in 25 discharge exceeding that resulting from glacier recession. Glacial-drainage capture is 26 distinct from traditional (base level-driven) drainage capture and is often unrecognized in 27 proglacial deposits, complicating interpretation of the sedimentary record of climate 28 change. 29 INTRODUCTION 30 Over glacial–interglacial time scales, rates of climate-driven erosion and sediment 31 transport scale with drainage area (e.g., Brocklehurst and Whipple, 2007), leading to the 32 expectation that drainage capture will affect sediment transport and be recorded by 33 proglacial stratigraphy. However, understanding is limited of the timing of sediment 34 transport during the glacial–interglacial cycle (e.g., Dühnforth et al., 2008; Shulmeister et 35 al., 2010). At thousand-year time scales, greater than that taken to reach a hypothetical 36 steady-state (Cuffey and Paterson, 2010), glacial-drainage capture can change the 37 effective drainage area of adjacent catchments resulting in variations in discharge. At 38 hundred-year time scales, when glaciers are at a transient state of adjusting to a change in 39 climate, water is released by or stored within the ice mass during recession and advance 40 (Dühnforth et al., 2008). 41 We investigate discharge variations resulting from variations in ice extent—both 42 by glacial-drainage capture and advance or recession—over the past 40 k.y. for three 43 adjacent catchments in the Southern Alps, New Zealand. The sedimentary record in New 44 Zealand is an important archive of Southern Hemisphere climate change (Newnham et 45 al., 1999), as the Southern Alps underwent multiple, extensive glaciations during the late Page 2 of 16 46 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 Quaternary (e.g., Suggate, 1990). Gravel-bed braided rivers constructed a series of 47 prograding, coalesced alluvial fans in three catchments—the Rakaia, Ashburton, and 48 Rangitata—which are exposed at the coastal cliff of the Canterbury Plains (Fig. 1). 49 Luminescence dating indicates that the majority of the visible stratigraphy was deposited 50 during the Last Glacial Maximum (LGM, 24–18 ka) and a previous glacial maximum at 51 37–31 ka (Rowan et al., 2012) (Fig. 1D). Are the Canterbury sediments primarily a 52 record of ice advance and recession within the current catchments, or has glacial-drainage 53 capture has a substantial impact on sediment flux and deposition? 54 GEOMORPHIC EVIDENCE 55 The modern Ashburton catchment has a significantly smaller drainage area (1239 56 km2) than both the Rangitata (1549 km2) and Rakaia (2372 km2) (Fig. 1A). However, the 57 Ashburton proglacial fan appears to represent a greater amount of vertical deposition than 58 the Rangitata (~18 m cliff thickness compared to ~6 m) (Fig. 1D). Furthermore, the 59 stratigraphy is subdivided into depositional storeys, of which there are fewer in the 60 Rangitata section than those representing the Ashburton and Rakaia (Leckie, 2003; 61 Rowan et al., 2012). The headwater geomorphology indicates that transfluent ice flowed 62 from both the Rakaia and Rangitata into the Ashburton, dramatically increasing the 63 effective drainage area of this catchment during glacials (Mabin, 1980; Evans, 2008; 64 Shulmeister et al., 2010). There are two key regions of glacier transfluence (Figs. 1A and 65 1C). First, southward-dipping lateral moraines at Prospect Hill and on either side of the 66 Cameron Valley confirm that glacial occupancy reversed the Lake Stream tributary to 67 flow south into the Ashburton (Pugh, 2008). Second, at Lake Clearwater, where Potts 68 Stream currently flows into the Rangitata, part of the Pleistocene Rangitata Glacier Page 3 of 16 69 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 diverted into the Ashburton, reversed the flow of the lower Potts Stream Glacier, and 70 constructed extensive moraines and outwash fans (Mabin, 1980; Evans, 2008). The 71 Canterbury bedrock is regionally homogeneous greywacke (Leckie, 2003) removing a 72 lithologic control on drainage patterns. Uplift-driven drainage reversal seems highly 73 unlikely. Specifically, reversal of Lake Stream by postglacial fluvial incision would have 74 required ~200 m of incision within ~20 k.y., a mean incision rate an order of magnitude 75 higher than the local rock uplift rate (Herman et al., 2009). 76 METHODS 77 To test the hypothesis that glacial-drainage capture resulted in discharge 78 variations of sufficient magnitude to be reflected in the stratigraphic record, we used a 79 glacier model (Plummer and Phillips, 2003) to simulate ice volumes since 40 ka. 80 Advance and recession of mountain glaciers are controlled primarily by changes in 81 temperature and mesoscale meteorology (Rother and Shulmeister, 2006; Anderson and 82 Mackintosh, 2006). High precipitation levels in the Southern Alps increase glacier 83 sensitivity to temperature (Golledge et al., 2012), which is the primary control on glacier 84 mass balance (Anderson and Mackintosh, 2006). Previous glacier modeling (Golledge et 85 al., 2012), climate modeling (Drost et al., 2007) and sea-surface temperature (SST) proxy 86 records (Barrows et al., 2007) demonstrate that LGM temperatures in the eastern South 87 Island were 6–8 °C cooler than present with little change in precipitation amount. We 88 consider the uncertainty associated with LGM precipitation variability as within the 89 overall uncertainty assigned to the relationship between simulated glacier extent and the 90 primary driving force for glacial advance and recession (i.e., temperature change). Page 4 of 16 91 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 The glacier model was implemented in a series of experiments that varied mean 92 annual temperature from 8 to +2 °C relative to modern conditions in 0.5 °C increments 93 (hereafter referred to as temperature change, T) to simulate steady-state ice volume and 94 flow. We tested all available rainfall distributions for the Southern Alps and found the 95 New Zealand National Institute of Water and Atmospheric Research Ltd. (NIWA) data 96 (Tait et al., 2006) to be most appropriate (see the GSA Data Repository1). The ice 97 volumes calculated for each T were given a chronology using the timing of changes in 98 temperature relative to modern conditions indicated by SST data (Barrows et al., 2007). 99 Simulations to describe steady-state at different T are achieved via transient ice-flow 100 calculations that constrain the time-dependent transfer of mass through each glacier, the 101 end point of which is when the system is balanced. Modeled glaciers for different T 102 were compared to mapped terminal and lateral moraines (Mabin, 1980; Evans, 2008; 103 Pugh, 2008; Shulmeister et al., 2010), and equilibrium-line altitude (ELA) depressions 104 were calculated via the accumulation-area ratio method (Porter, 1975). 105 The glacier model is two-dimensional in the quasi-horizontal plane and uses an 106 energy balance calculation to drive ice flow. Temperature was calculated using a lapse 107 rate of –6 °C km-1. The ice-flow model provides the primary control on discharge 108 variations associated with glaciation. At steady state, discharge is equal to precipitation 109 and scales with effective drainage area, modulated by the non-uniform precipitation 110 distribution. For glacial-drainage capture to affect proglacial discharge requires that 111 either subglacial meltwater flow follows the direction of ice flow across catchment 112 boundaries or glacial melt occurs downstream of transfluence. Effective drainage areas 113 were defined from subglacial meltwater flow directions for a given T. Above the ELA, Page 5 of 16 114 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 minimal melting is assumed. Below the ELA, the direction of subglacial meltwater flow 115 (the hydraulic potential) is controlled by the surface slope of the ice rather than the 116 topographic surface at the base of the glacier. The magnitude of the reverse bed slope 117 must be greater than the magnitude of the glacier surface slope by a factor of 11 for 118 meltwater to not follow the glacier flow direction (Shreve, 1972) (a description of this 119 model is provided in the Data Repository). 120 Glacier advance reduces discharge as water is taken into storage as ice, whereas 121 recession produces brief discharge peaks as extra meltwater is released. The change in 122 discharge volume decays exponentially over the response time (Cuffey and Paterson, 123 2010). Transient ice-flow calculations show that steady-state is reached within 400 yr of a 124 specified perturbation, consistent with the response time estimated from analytical 125 solutions (Jóhannesson et al., 1989) and that measured for the modern Tasman Glacier 126 (20–200 yr) (Herman et al., 2011). The transient data provide a means of estimating the 127 change in discharge that would occur over short (hundred-year) time scales. The 128 discharge resulting from the transient glacier response to climate change was quantified 129 from the change in balance within the effective drainage area for a given T, and 130 combined with steady-state discharge for the duration of the glacier response to climate 131 change. Sediment flux was estimated using the power-law relationship derived for Ivory 132 Glacier in the central Southern Alps (Hicks et al., 1990). 133 RESULTS AND DISCUSSION 134 Simulated glaciers provided a good estimate of mapped ice extents (Fig. 2), 135 although we note a 0.25 °C offset between T required for the Rakaia to reach LGM 136 limits (at T = 6.5 °C) relative to the Ashburton and Rangitata Glaciers (at T = 6.25 Page 6 of 16 137 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 °C) (quantification of the model-data fit is given in the Data Repository). Based on 138 modeled ice extents, T of at least 5 °C (Fig. 2A) was required for glacial-drainage 139 capture at Lake Clearwater (Fig. 2B), where part of the Pleistocene Rangitata Glacier 140 diverted into the Ashburton (Fig. 3). With T = 5.5 °C (Fig. 2C), a lobe of the Rakaia 141 Glacier diverted to the south at Prospect Hill through Lake Stream, reversing the flow of 142 the lower Cameron Glacier (Fig. 1A). Under LGM conditions (T > 6.0 °C), ice 143 occupying Lake Stream blocked further ice flow southward and the Rakaia Glacier 144 reverted to flow exclusively along the Rakaia Valley, effectively “switching off” drainage 145 capture (Fig. 2D). Simultaneously, a much larger volume of ice diverted into the 146 Ashburton at Lake Clearwater (Fig. 3), dramatically increasing effective drainage area at 147 the expense of the Rangitata. Animations of model output illustrating glacial-drainage 148 capture are presented in the Data Repository. LGM drainage capture increased the 149 effective drainage area of the Ashburton relative to the modern drainage area from 1239 150 km2 to 1981 km2 (to 160% of the modern drainage area), at the expense of the Rangitata, 151 which decreased from 1549 km2 to 975 km2 (to 63%), making the Ashburton the larger 152 basin (Fig. 4B). The Rakaia catchment had a slight decrease in effective drainage area 153 from 2372 km2 to 2204 km2 (to 93%), but was the largest basin through the LGM and 154 postglacial. 155 Recession from the LGM was rapid: the Rakaia terminus receded from the range 156 front to Prospect Hill with warming (from T = 6.5 °C to 3 °C) (Fig. 2) indicated by 157 SST to have occurred within four thousand years of the LGM peak (Barrows et al., 2007) 158 and in agreement with results from terrestrial cosmogenic nuclide dating of moraines in 159 the Rakaia Valley (Shulmeister et al., 2010) when calibrated using the local production Page 7 of 16 160 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 rate (Putnam et al., 2010). Moreover, relatively minor climate variations drove dramatic 161 drainage capture during the glacial: oscillations in temperature of 0.5 °C occurred over 162 ~500 yr (Barrows et al., 2007) (Fig. 4A), driving variations in effective drainage area of 163 ~20% between the Ashburton and Rangitata. Temperature change from 4.5 °C to 6.5 164 °C drove transfluent ice flow at Lake Clearwater (Fig. 3). The domains captured by the 165 Ashburton include areas close to the main drainage divide where precipitation levels are 166 highest, so the relationship between drainage area and discharge is not linear. Therefore, 167 discharge from the Ashburton increased more rapidly than effective drainage area during 168 the LGM to 218% of modern discharge, whereas discharge from the Rangitata and 169 Rakaia decreased to 53% and 95% (Fig. 4C). 170 Results for calculations of the transient glacier response to temperature change 171 indicate short-lived peaks in discharge corresponding to the reduction in glacier volume 172 during recession. During larger advances, discharge was effectively reduced to zero for 173 short intervals (Fig. 4E). However, precipitation falling as rain would not contribute to 174 glacier mass gain, and, during advances seasonal discharge due to melting was still 175 considerable as indicated by outwash deposits (Shulmeister et al., 2010). While the 176 magnitude of peaks produced by the post-LGM loss of ice mass was greater than 177 discharge variations resulting from drainage capture (Fig. 4E), the duration of discharge 178 variations due to the transient response did not exceed 400 yr and the volume of water 179 released during recession was less. When integrated over the LGM and the post-LGM 180 discharge peak (24–15.5 ka), the Ashburton discharge is nearly doubled relative to the 181 interglacial value due to drainage capture (from 1.3 to 2.2 × 109 m3 a-1), whereas the 182 increase in discharge due to loss of ice volume was 112% (to 1.4 × 109 m3 a-1) (Fig. 4E). Page 8 of 16 183 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 Hence, over longer periods than the response time, glacial-drainage capture exerts a 184 greater control on the magnitude of discharge variations than recession. 185 Sediment production rates in the Southern Alps are amongst the highest on Earth 186 (Hales and Roering, 2005). Therefore, if the proglacial rivers are transport-limited, one 187 would expect glacial-drainage capture, rather than recession, to control sediment 188 transport in the Ashburton and Rangitata. The existing geochronology indicates that 189 deposition of the fluvial sediments at the coast occurred from 40 to 18 ka. Over this 190 interval, the total sediment flux to the Canterbury Plains was 26% from the Ashburton 191 and 20% from the Rangitata; the remainder was sourced from the Rakaia (54%) (Fig. 192 4D). However, if we integrate sediment volumes for the LGM (24–18 ka), the 193 contribution from the Ashburton (29%) outweighs that from the Rangitata (18%), 194 although an opposing trend for the penultimate glacial maximum (37–31 ka) gives a 195 greater total sediment flux from the Rangitata (27%) than the Ashburton (17%). When 196 LGM sediments were deposited at the modern coastline (Rowan et al., 2012), aggradation 197 rates in the Ashburton were higher than during the previous glacial maximum due to 198 drainage capture, as observed by the greater sedimentary thickness at the coast in this 199 catchment relative to the Rangitata (Fig. 1D). The lesser sedimentary thickness in the 200 Rangitata represents either deposition during only the penultimate glacial maximum 201 when drainage capture was less extensive or low rates of sediment flux coincident with 202 two phases of deposition in the Ashburton and Rakaia. 203 CONCLUSION 204 205 Glacial-drainage capture resulted in a sustained increase in discharge from the Ashburton during the LGM, which outweighed the short-lived increase in discharge due Page 9 of 16 206 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 to glacier recession post-LGM, and maintained rates of sediment transport when glacier 207 expansion reduced the transport capacity in adjacent basins. We conclude that effective 208 drainage areas varied substantially during the glacial maxima and thus drove changes in 209 discharge and sediment flux. While variations in the extent of glaciation alter the annual 210 discharge within each catchment, the magnitude of the variations in discharge produced 211 by glacial-drainage capture have a greater effect on long-term discharge and deposition in 212 affected basins, and complicate the interpretation of proglacial fluvial stratigraphy as an 213 archive of climate change. 214 ACKNOWLEDGMENTS 215 This work was undertaken while Rowan was in receipt of Natural 216 Environment Research Council studentship NE/F008295/1. Additional funding was 217 gratefully received from the Dudley Stamp Memorial Fund, the Quaternary Research 218 Association New Research Workers Grant, and the British Sedimentological 219 Research Group Harwood Fund. The National Institute of Water and Atmospheric 220 Research Ltd. (NIWA) provided the gridded rainfall data and Land Information New 221 Zealand provided the 50-m digital elevation model. Three anonymous reviewers 222 provided constructive comments. 223 REFERENCES CITED 224 Anderson, B., and Mackintosh, A., 2006, Temperature change is the major driver of late- 225 glacial and Holocene glacier fluctuations in New Zealand: Geology, v. 34, p. 121– 226 124, doi:10.1130/G22151.1. Page 10 of 16 227 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 Barrows, T., Juggins, S., de Deckker, P., and Calvo, E., 2007, Long-term sea surface 228 temperature and climate change in the Australian–New Zealand region: 229 Paleoceanography, v. 22, p. PA2215, doi:10.1029/2006PA001328. 230 Brocklehurst, S.H., and Whipple, K.X., 2007, Response of glacial landscapes to spatial 231 variations in rock uplift rate: Journal of Geophysical Research, v. 112, p. F02035, 232 doi:10.1029/2006JF000667. 233 234 235 Cuffey, K., and Paterson, W., 2010, The Physics of Glaciers: Butterworth Heinemann, Oxford, 650 p. 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C, p. 30–45, 249 doi:10.1016/j.quascirev.2012.05.004. Page 11 of 16 250 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 Hales, T., and Roering, J., 2005, Climate-controlled variations in scree production, 251 Southern Alps, New Zealand: Geology, v. 33, no. 9, p. 701, doi:10.1130/G21528.1. 252 Herman, F., Cox, S.C., and Kamp, P.J.J., 2009, Low-temperature thermochronology and 253 thermokinematic modeling of deformation, exhumation, and development of 254 topography in the central Southern Alps, New Zealand: Tectonics, v. 28, no. 5, 255 p. TC5011, doi:10.1029/2008TC002367. 256 Herman, F., Anderson, B., and Leprince, S., 2011, Mountain glacier velocity variation 257 during a retreat/advance cycle quantified using sub-pixel analysis of ASTER images: 258 Journal of Glaciology, v. 57, no. 202, p. 197–207, 259 doi:10.3189/002214311796405942. 260 Hicks, D., McSaveney, M., and Chinn, T., 1990, Sedimentation in proglacial Ivory Lake, 261 Southern Alps, New Zealand: Arctic and Alpine Research, v. 22, no. 1, p. 26–42, 262 doi:10.2307/1551718. 263 Jóhannesson, T., Raymond, C., and Waddington, E., 1989, Time-scale for the adjustment 264 of glaciers to changes in mass balance: Journal of Glaciology, v. 35, no. 121, p. 355– 265 369. 266 Leckie, D., 2003, Modern environments of the Canterbury Plains and adjacent offshore 267 areas, New Zealand—An analog for ancient conglomeratic depositional systems in 268 nonmarine and coastal zone settings: Bulletin of Canadian Petroleum Geology, v. 51, 269 no. 4, p. 389–425, doi:10.2113/51.4.389. 270 271 Mabin, M., 1980, The glacial sequences in the Rangitata and Ashburton valleys, South Island, New Zealand [Ph.D. thesis]: University of Canterbury, Christchurch, 252 p. Page 12 of 16 272 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 Newnham, R., Lowe, D., and Williams, P., 1999, Quaternary environmental change in 273 New Zealand: A review: Progress in Physical Geography, v. 23, no. 4, p. 567–610, 274 doi:10.1177/030913339902300406. 275 Plummer, M., and Phillips, F., 2003, A 2-D numerical model of snow/ice energy balance 276 and ice flow for paleoclimatic interpretation of glacial geomorphic features: 277 Quaternary Science Reviews, v. 22, no. 14, p. 1389–1406, doi:10.1016/S0277- 278 3791(03)00081-7. 279 Porter, S., 1975, Equilibrium-line altitudes of late Quaternary glaciers in the Southern 280 Alps, New Zealand: Quaternary Research, v. 5, no. 1, p. 27–47, doi:10.1016/0033- 281 5894(75)90047-2. 282 Pugh, J., 2008, The Late Quaternary Environmental History of the Lake Heron Basin, 283 Mid-Canterbury, New Zealand [M.Sc. thesis]: University of Canterbury, 284 Christchurch, 166 p. 285 Putnam, A.E., Schaefer, J.M., Barrell, D.J.A., Vandergoes, M., Denton, G.H., Kaplan, 286 M.R., Finkel, R.C., Schwartz, R., Goehring, B.M., and Kelley, S.E., 2010, In situ 287 cosmogenic 10Be production-rate calibration from the Southern Alps, New Zealand: 288 Quaternary Geochronology, v. 5, no. 4, p. 392–409, 289 doi:10.1016/j.quageo.2009.12.001. 290 Rother, H., and Shulmeister, J., 2006, Synoptic climate change as a driver of late 291 Quaternary glaciations in the mid-latitudes of the Southern Hemisphere: Climate of 292 the Past Discussions, v. 2, p. 11–19, doi:10.5194/cp-2-11-2006. 293 294 Rowan, A.V., Roberts, H.M., Jones, M.A., Duller, G.A.T., Covey-Crump, S.J., and Brocklehurst, S.H., 2012, Optically stimulated luminescence dating of glaciofluvial Page 13 of 16 295 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 sediments on the Canterbury Plains, South Island, New Zealand: Quaternary 296 Geochronology, v. 8, p. 10–22, doi:10.1016/j.quageo.2011.11.013. 297 298 299 Shreve, R., 1972, Movement of water in glaciers: Journal of Glaciology, v. 11, no. 62, p. 205–214. Shulmeister, J., Fink, D., Hyatt, O.M., Thackray, G.D., and Rother, H., 2010, 300 Cosmogenic 10Be and 26Al exposure ages of moraines in the Rakaia Valley, New 301 Zealand and the nature of the last termination in New Zealand glacial systems: Earth 302 and Planetary Science Letters, v. 297, no. 3–4, p. 558–566, 303 doi:10.1016/j.epsl.2010.07.007. 304 Suggate, R., 1990, Late Pliocene and Quaternary glaciations of New Zealand: Quaternary 305 Science Reviews, v. 9, no. 2–3, p. 175–197, doi:10.1016/0277-3791(90)90017-5. 306 Tait, A., Henderson, R., Turner, R., and Zheng, X., 2006, Thin plate smoothing spline 307 interpolation of daily rainfall for New Zealand using a climatological rainfall 308 surface: International Journal of Climatology, v. 26, no. 14, p. 2097–2115, 309 doi:10.1002/joc.1350. 310 FIGURE CAPTIONS 311 Figure 1. A: Location map (South Island, New Zealand) showing the modern drainage 312 divides (thick black lines; dashes indicate interpretation), mapped ice extents for the Last 313 Glacial Maximum (LGM), late LGM and late glacial, LGM ice extent (white shading) 314 (Newnham et al., 1999), and surface trace of the Alpine fault (black dotted line). B: LGM 315 ice cover of the Southern Alps (white shading), and the LGM coastline (dashed line) 316 (Newnham et al., 1999). C: Locations of sites named in the text. D: Coastal cross-section 317 of the Canterbury Plains (datum is NZ1949). Vertical exaggeration is × 1000. Inset shows Page 14 of 16 318 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 change in sea-surface temperature (SST) (Barrows et al., 2007), optically stimulated 319 luminescence ages (circles) (Rowan et al., 2012) for these sediments, and two glacial 320 maxima (gray shading). 321 322 Figure 2. Simulated ice volumes overlain on a shaded relief map of the model domain 323 showing mapped ice extents (as in Fig. 1). Ice thickness (m; blue shading) and drainage 324 divides (red lines) are shown for T of: 4.5 °C (A), 5.0 °C (B), 5.5 °C (C), and 6.5 325 °C (D). White stars indicate changes in drainage area. LGM—Last Glacial Maximum. 326 327 Figure 3. Simulated ice-flow velocity–vector maps for the Lake Clearwater region of the 328 South Island, New Zealand. A: T = 4.5 °C, Potts Stream Glacier flows into the 329 Rangitata, and no drainage capture takes place. B: T = 6.5 °C, part of the Pleistocene 330 Rangitata Glacier reverses the lower Potts Stream Glacier and overruns Lake Clearwater, 331 flowing into the Ashburton. Ice-flow vectors (black arrows) are scaled for flow velocity. 332 Ice thickness (m; blue shading), and drainage divides (red lines) are shown. Location is 333 indicated in Figure 1. 334 335 Figure 4. A: Foraminiferal 18O sea-surface temperature (SST) relative to modern values 336 from marine core DSDP-597 from 400 km offshore of eastern South Island (Barrows et 337 al., 2007). B: Simulated effective drainage area. C: Simulated steady-state annual 338 discharge. D: Simulated relative annual bedload sediment flux from model. E: Simulated 339 annual discharge resulting from a combination of the steady-state and transient responses. Page 15 of 16 340 Publisher: GSA Journal: GEOL: Geology Article ID: G33829 Results for the Rakaia (black dashed line), Ashburton (black solid line), and Rangitata 341 (black dotted line). LGM—Last Glacial Maximum. 342 343 1 344 available online at www.geosociety.org/pubs/ft2012.htm, or on request from 345 editing@geosociety.org or Documents Secretary, GSA, P.O. Box 9140, Boulder, CO 346 80301, USA. GSA Data Repository item 2012xxx, describing the application of the glacier model is Page 16 of 16