“…As such, to our knowledge, 4D-Var has not been applied in snow cover applications. Other smoother methods, namely the Ensemble Kalman Smoother (EnKS) and the Particle Batch Smoother (PBS), which are essentially smoother extensions of the filtering approaches outlines above, have been applied in snow hydrology recently with a variety of data assimilated including passive/active microwave and SCA/SCF (e.g., Durand et al, 2009;Bateni et al, 2013Bateni et al, , 2015Girotto et al, 2014;Margulis et al, 2015Margulis et al, , 2016Margulis et al, , 2019bCortés and Margulis, 2017;Li et al, 2017;Aalstad et al, 2018;Baldo and Margulis, 2018). In the EnKS, a Kalman update can be performed on all states over a given window, while in the PBS, particle weights are updated by conditioning on all measurements over the assimilation window.…”