I think it depends on the variance of the temperature across the entire space. If a place has been very cold (below freezing temperature of the water content) f

I think it depends on the variance of the temperature across the entire space. If a place has been very cold (below freezing temperature of the water content) for a long period of time, then you might expect all of the water to have precipitated. However, in many real situations on earth, the temperatures often fluctuate right around the freezing point of the water in the space.