The problem everyone wants to avoid in this thread is condensation occurring . That occurs when warm more moist air comes into contact with a cooler surface.
All the porous materials in a caravan will absorb some moisture, as does the air, in all cases how much moisture they can absorb is dependant on its temperature, and the system is constantly trying to equalise the relative humidifies of the air and the other porous substances in the space.
When we (and animals) breathe we exhale water vapour, water vapour is also produced when we cook as water is evaporated or boiled off, so when a caravan is used the levels of humidity rise. We also tend to keep caravans warmer when we use them so the porous materials will also help to absorb some of teh water vapour we produce.
As the air, wood and other materials are warmed and are holding more moisture, when we go to bed, and turn the heating down things cool down, they cant hold as much moisture so they get rid of it by condensing it into droplets of water that we see on cooler surfaces.
When yo store a caravan after its been used, the content of the caravan will have been warmer and thus absorbed more moisture. The caravan should be allowed air and its advisable to open all cupboards and other wise closed space to allow free air movement .
As the caravan cools all the excess moisture is released and is taken up by the free flowing air and is mostly carried away outside what is left can form condensation. This will happen for a few days, but once the caravan has got rid of the excess, it wont produce any more from inside. However it is important to understand that there is always some humidity in the ambient air, so you cannot get rid of all of it .
Becasue a caravan is more closed than open, when the sun shines on one side it can warm it up but the other side can remain cool enough to cause condensation - but this is not excess moisture it is simply the natural levels reacting to the temperature differentials.
If you try to use a heater or dehumidifier for long term storage you are wasting your money, becasue all the condensate it collects is from fresh air passing through the caravan, it is not making on jot of difference to the caravan's dryness.
The only exception where a dehumidifier may be useful is if your caravan has a water leak and is letting water in. But again it would make far more sense to get the leak fixed than run a heater or dehumidifier,
All caravans had a legal minimum amount ventilation, and provided non of it is blocked, and the air is free to circulate inside the caravans spaces that is simply the best and by far the cheapest and safest solution.