“…Using a simple model, we calculate methane flux as follows: Table S4 for detail) and seep carbonates in this study (red and blue circles; Table S3). Samples from water depths greater than 1,000 m (Aharon et al, 1997;Bayon, Loncke, et al, 2009;Bayon et al, 2013Bayon et al, , 2015Çağatay et al, 2018;Crémière et al, 2013;Feng et al, 2010;Himmler et al, 2015Himmler et al, , 2019Kutterolf et al, 2008;Lalou et al, 1992;Liebetrau et al, 2010Liebetrau et al, , 2014Mazumdar et al, 2009;Prouty et al, 2016;Watanabe et al, 2008) represent sites with a weak link between hydrostatic pressure and hydrate dissociation, whereas samples from water depths less than 200 m represent sites were hydrate dissociation was not involved (Aharon et al, 1997;Crémière, Lepland, Chand, Sahy, Kirsimäe, et al, 2016;Feng et al, 2010). Samples from water depths between 200 and 1,000 m represent sites with a possible link between hydrostatic pressure and hydrate dissociation (Çağatay et al, 2018;Crémière et al, 2013;Han et al, 2014;Himmler et al, 2016;Liebetrau et al, 2010Liebetrau et al, , 2014Mazzini et al, 2017;Prouty et al, 2016;Ruffine et al, 2013;Teichert et al, 2003;Tong et al, 2013;Yang, Chu, et al, 2018).…”