“…The effects of Arctic sea ice on the variability of the stratosphere have been widely explored. Numerous studies revealed that the BKS sea ice variability has more effective impacts on the intensity and location of SPV, and the attendant stratospheric signals can persist for approximately 2 months and then extend to the surface (Jaiser et al., 2013; B. M. Kim et al., 2014; J. Kim & Kim, 2020; Liang Y et al., 2023; Nakamura et al., 2016; Peings & Magnusdottir, 2014; Sun et al., 2015; Wu & Smith, 2016; J. Zhang et al., 2016). Further studies also use a nudging method in modeling to highlight the relative importance of the stratospheric process in Eurasian cooling induced by BKS sea ice loss (Ding et al., 2023; Peings, 2019; Xu et al., 2021, 2023; P. Zhang, Wu, & Smith, 2018; P. Zhang, Wu, Simpson, et al., 2018).…”