“…Glacier-lake interaction can often present tipping points or switching behavior: the formation of a proglacial lake and a calving front can shift the glacier from slow to fast retreat (Kirkbride and Warren, 1999). Examples of studies on proglacial lake formation include: the Southern Alps of New Zealand (e.g., Kirkbride, 1993;Kirkbride and Warren, 1999;Purdie and Fitzharris, 1999;Quincey and Glasser, 2009;Dykes et al, 2011), the European Alps (e.g., Tsutaki et al, 2013), Iceland (e.g., Baurley et al, 2020), and the Himalayas (e.g., Haritashya et al, 2018;King et al, 2018;Tsutaki et al, 2019;Sato et al, 2021a). In particular, proglacial lake formation associated with the disintegration of debris-covered glaciers has been generalized in a three-phase sequence of retreat (e.g., Kirkbride, 1993;Purdie and Fitzharris, 1999;Quincey and Glasser, 2009;Sakai et al, 2009;Benn et al, 2012).…”