“…Similarly, Kalman filtering and related approaches have been used but are computationally-intensive (e.g. Napelenok et al, 2008;Ding et al, 2020;Ding et al, 2015;Mijling and Van Der A, 2012;Miyazaki and Eskes, 2013;Miyazaki et al, 2017;Miyazaki et al, 2012a;Miyazaki et al, 2012b;Sekiya et al, 2021). Mass balance inversion approaches, which scale model emissions by directly comparing model estimates and satellite observations, were introduced by Martin et al (2003), updated by Lamsal et al (2011), and have been widely used in research and forecasting (e.g.…”