“…Cobb Valley -41 173 12 (9) (Shulmeister et al, 2005) Taramakau -43 171/172 34 (29) (Barrows et al, 2013) Arthur's Pass -43 172 5 (4) (Ivy-Ochs et al, 1999) Waimakariri -43 172 31 (29) (Rother et al, 2015) Rakaia Valley -43/-44 171/172 55 (46) (Shulmeister et al, 2010;Putnam et al, 2013a) Cameron glacier -43 171 10 (10) (Putnam et al, 2012) Franz Josef -43/-44 170 6 (6) (Barrows et al, 2007b) Rangitata Valley -43/-44 171 56 (51) (Rother et al, 2014) Pukaki -44 170/171 169 (159) (Schaefer et al, 2006;Putnam et al, 2010a;Kelley et al, 2014;Doughty et al, 2015;Schaefer et al, 2015) Ohau -44 170 91 (84) (Kaplan et al, 2013;Putnam et al, 2013b) Irishman Stream -44 170 33 (31) Cascade Plateau -44 168 19 (14) (Sutherland et al, 2007) Boundary Stream Tarn -44 170 10 (10) (Putnam et al, 2010b) Total within Last Glacial Cycle 531 (482) 37 Table 2. The timing of culminations in glacial advances identified from relative cumulative 4 probability density functions for New Zealand and Patagonia using the New Zealand 5 production rate of , and using the Patagonian production rate (PPR) of 6 Kaplan et al (2011) for Patagonia.…”