## 1 Introduction  
As one of the most important and fastest-changing regions of the global climate system, sea ice plays a vital role in regulating weather conditions in the region's oceans and the world [1]. However, sea ice has been melting rapidly over the past few decades [2]. Arctic multiyear ice extent (60\({}^{\circ}\) N-90\({}^{\circ}\) N), in particular, has dropped sharply at a rate of 9% per decade [3]. In the 1990s, this decline began to accelerate [4]. The authors of many previous studies have linked the main modes of atmospheric circulation in the northern hemisphere to changes in arctic sea ice [5; 6; 7]. [PERSON] et al. believed that the positive phase of the Arctic oscillation (AO) caused an abnormal decrease in Arctic Ocean sea ice extent in summers. However, [PERSON] et al. posited that the recent anomalous changes in said ice in September are more closely related to the anticyclone in northern Eurasia in winter and that the relationship between the winter phase AO mode and the summer sea ice was weak [8]. Greenland Sea ice anomalies can also cause atmospheric circulation anomalies in the northern hemisphere. It was found that when the spring Greenland Sea ice extent decreased, the geopotential height in the Greenland Sea decreased significantly, which led to low temperatures in the middle and low latitudes of the northern hemisphere [9]. [PERSON] et al. reported that the retreat of sea ice in the Kara-Laptev region in autumn caused positive sea-level pressure (SLP) anomalies in the high latitudes of Eurasia in the winter, accompanied by significant positive temperature anomalies and increased precipitation [10]. [PERSON] et al. studied the relationship between sea ice changes off the Siberian coastline in September and the temperature in Eurasia, finding that the continuous reduction of sea ice in September caused Eurasia to be extremely cold [11]. Autumn sea ice extent reduction in arctic regions increases winter snowfall in Greenland, North America, and Eurasia [12; 13]. A decrease in Barents-Kara Sea (BKS) ice in autumn and winter leads to a strengthened Siberian High (SH), in turn leading to an abnormal decrease in temperature in eastern Asia [14; 15]. The reduction of sea ice also strengthens the local hydrological cycle in that ocean. The Arctic Ocean controls global evaporation and precipitation through these changes. By the end of the twenty-first century, precipitation in the Arctic was predicted to increase by more than 50% [16]. The increase of arctic region precipitation is closely related to sea ice ablation and rises in temperature. Since arctic precipitation, especially in BKS, is much more sensitive to temperature than in the mid-low latitudes [17], an increase will cause an uptick in snowfall [18]. Increased snow cover in the Arctic (60\({}^{\circ}\) N-90\({}^{\circ}\) N) will slow the increase in sea ice by reducing the albedo of arctic sea ice [19]. Increased precipitation in the Arctic Ocean will lead to higher amounts of water vapor, causing the area to warm up and the sea ice to melt [20]. [PERSON] et al. analyzed the data for the September sea ice area in terms of arctic cyclone-related precipitation in the autumn, using Japanese 25-year; they found a higher degree of cyclone-related precipitation and water vapor in the Arctic Ocean in high-ice years [21]. However, [PERSON] et al. examined winter Arctic Ocean precipitation, atmospheric circulation, and atmospheric temperature changes through self-organizing maps (SOM), indicating that the large increase in precipitation in the Arctic Ocean was due to increased moisture in the atmosphere, rather than cyclonic changes [22]. The dramatic decrease in the entire arctic sea ice will be accompanied by changes in water vapor transport, which will lead to increased precipitation in the Arctic, especially in September [23]. Atmospheric circulation can dynamically affect the arctic sea ice extent through the surface wind field or through moisture fluxes associated heat flow [24; 25]. [PERSON] et al.