The more people you have defending the stronghold, the less time the stocks last. If you have a large castle and only a handful of defenders, there's enough grub there for them to happily munch on until the enemy gives up or bashes down the doors many years later. If you intend on keeping a few hundred defenders in a keep, well even with the best upgrades, they'll starve within very few years. Keep a minimal garrison if you want to sit out the siege for many years and have your relief force come from somewhere else.
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