“…Most studies have mainly used rule-based direct insertion (e.g., [10][11][12][13]), ensemble-based (e.g., ensemble Kalman filter (EnKF) [14][15][16][17], ensemble square root filter (EnSRF) [18], ensemble adjustment Kalman filter (EAKF) [19], and deterministic ensemble Kalman filter (DEnKF) [20]), or Bayesian (e.g., [21][22][23]) DA methods to assimilate SCF (e.g., [24,25]), SWE (e.g., [5,16,26]), SD [12], or passive microwave brightness temperature [27] observations into hydrological and land surface models to improve snow estimates. All existing studies show that these DA methods improve the SD and SWE estimates when available snow-related observations are assimilated into hydrological and land surface models.…”