The fallen snow on the ground subsides gradually day after day bythe sublimation phenomena, so the depth of snow cover decreases and the density of it increases day after day.
The experimental formulas on the decrease of snow cover depth and the increase of snow density was given as follows by the author using the result of the observation on snow cover in Sekiyama, Niigata Prefecture, in winter 19471948.
ΔH/ΔH
0=1-t/(2.23+1.13t)=f(t)
ρ/ρ
0=1+2.23+0.13t where t is the time (unit is day), ΔH/ΔH
0 is the rate of decrease on the depth of snow cover and ρ/ρ
0 is the rate of increase on the density of snow cover.
If we have the amount of snowfall ΔH
1 on the first day, ΔH
2 on the second day, … and ΔH
n on the n-th day, the snow cover depth are as follows.
on the first day ΔH
1f(0)
on the second day ΔH
1f(1)+ΔH
2f(0)
… …
on the n th day ΔH
1f(n-1)-ΔH
2f(n-2)+……+ΔH
n-1f(1)+ΔH
nf(0)
Then the snow cover depth on the n th day is
H
n=nΣi=1ΔH
if(n-i)
where is the day number from the first fallen snow.
The calculated daily snow cover depth using above formulas is shown in Fig. 6 with the observed snow cover depth. At the other phenomenas except the sublimation (i.e. rain, sunshin eetc), the above formulas cannot be used.
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