“…The European Centre for Medium‐range Weather Forecasts (ECMWF) implemented the first operational 4D‐Var in November 1997 (Klinker et al ., 2000; Mahfouf and Rabier, 2000; Rabier et al ., 2000). Since then, 4D‐Var has become the mainstream operational DA algorithm at global numerical weather prediction (NWP) centres, including France (Janiskova et al ., 1999; Gauthier and Thépaut, 2001), the United Kingdom (Rawlins et al ., 2007), Canada (Gauthier et al ., 2007), Japan (Kadowaki, 2005), the US Navy (Xu et al ., 2005; Rosmond and Xu, 2006), and China (Zhang et al ., 2019). Some of the NWP centres have also developed 4D‐Var for their regional models (Zupanski, 1993; Honda et al ., 2005; Kawabata et al ., 2007; Gustafsson et al ., 2012; Tanguay et al ., 2012; Ballard et al ., 2016), even though these regional 4D‐Var systems were not always implemented into operation.…”