## 3 Results and Discussion
### Evaluation of \(S_{\text{eff}}\) and Cloud Droplet Properties
Green, red, blue, and gray lines and markers represent the entire period, Continental, Pacific, and Others airmass periods, respectively. Figure 6: Normalized number size distribution of the aerosol particles at the MFRS classified according to air mass origins. Based on these calculations, the \(SS_{\text{eff}}\) during the cloud-shrouded periods is estimated to be 0.15% (25 th percentile) to 0.44% (75 th percentile) (Figure 7). [PERSON] et al. [9] estimated the in-cloud \(SS\) at the Puy-de-Dome station (altitude 1465 m) to be 0.1% to 0.6%, and [PERSON] et al. [11] reported an \(SS_{\text{eff}}\) of cumulus and shallow-layer clouds at Jungfraujoch (attitude 3580 m) of 0.37% to 0.5% and 0.17% to 0.3%, respectively. The values of \(SS_{\text{eff}}\) calculated in this study were comparable to the values of \(SS\) of clouds at mountain sites in previous studies. When compared to air mass origins, no significant differences among the \(SS_{\text{eff}}\) of Continental, Pacific and Others were apparent (Figure 7). A positive correlation (\(R=0.54\), \(p<\)0.01) between \(N_{\text{CD}}\) and \(N_{\text{CCN}}\) under the 0.21% \(SS\) condition, which is close to the median value of \(SS_{\text{eff}}\), is observed. The points are scattered around an 1:1 line and large scatter is observed when \(LWC\) is lower (Figure 8). Parameters characterizing the clouds at the MFRS are summarized in Table 3. Note that these parameters were obtained only during the cloud-shrouded periods. It was reported that \(SS\) tends to be higher at higher updraft wind velocities (e.g., [8]), because adiabatic expansion is an important factor for the determination of \(SS\) in a cloud. In this study, the updraft wind velocity was not measured. [PERSON] et al. [11] proposed a method to calculate the updraft velocity by multiplying the horizontal wind speed by the tangent of the angle of the mountain slope:  
\[w=v_{\text{h}}\times\tan\theta, \tag{11}\]  
where \(w\), \(v_{\text{h}}\) and \(\theta\) are updraft velocity, horizontal velocity, and the angle of mountain slope, respectively. Equation (11) assumes that the airmass rises along the slope of the mountain, otherwise it is overestimated. Here, it was used as a standard of the maximum value of the updraft velocity. As for the angle of the mountain slope, 38\({}^{\circ}\) (the angle of west side) was used. Note that Mt. Fuji is a stratovolcano with conical shape, and the angle of the slope is almost same regardless of the direction. The mean updraft velocity was slightly higher when the airmass origin was Pacific than when it was Continental. On the whole,  
Figure 7: Effective supersaturation (\(SS_{\text{eff}}\)) of clouds at the MFRS classified according to air mass origins. Number of data (\(N\)) for each group is indicated at the top of the panel. however, the difference of updraft velocities by the airmass origin was not remarkable. The topography of the summit of Mt. Fuji is complicated due to the existence of a crater. This will disturb the air stream, so the actual updraft velocity was likely to be different from the estimate. In the future, it will be necessary to monitor the updraft velocity on site by installing multiple ultrasonic anemometers to understand the factor controlling SS. The values of _LWC_ range from 0.01 to 0.26 g m\({}^{-3}\), and were similar to those of stratocumulus, stratus and fog (0.05-0.3 g m\({}^{-3}\); [41]) (Table 3) There was a clear difference in \(N_{\rm CD}\) between air masses of Continental and Pacific origin as observed in \(N_{\rm CCN}\) (Figure 5a). The mean \(N_{\rm CD}\) in Continental airmass (144 cm\({}^{-3}\)) was similar to the annual mean value in East Asia region estimated by the satellite observation (136.9 cm\({}^{-3}\)) [42], however, the mean \(N_{\rm CD}\) during the entire period (78 cm\({}^{-3}\)) was less than the annual mean value.