“…The core of these traditional parametric filters is their reliance on repeated forward integrations of an explicitly known physical model of unsaturated flow, such as the HYDRUS (Šimůnek et al, 2006), Soil and Water Assessment Tool (SWAT) (Van Dam and Feddes, 2000), and Ross models (Ross, 2003;Zha et al, 2013). 50 Currently, the ever-increasing availability of multi-source data from remote sensing (Montzka et al, 2011;Shi et al, 2011), ground-based measurements (Li et al, 2018;Shuwen et al, 2005;Yang et al, 2000), and numerical modeling has paved the way for the development of fully data-driven techniques within the DA framework. In particular, recent advances in machine learning-based DA schemes (Brajard et al, 2020;Brajard et al, 2021;Yamanaka et al, 2019) offer exciting new opportunities for 55 extracting patterns and insights of soil moisture dynamics from data (Ju et al, 2018;Li et al, 2020;Liu et al, 2020;Wang et al, 2021a).…”