This is specific to potatoes.
http://prepperswill.com/store-potatoes-long-term/If you plan on storing potatoes (particularly post-event), you will need this information.
Don’t store potatoes with other produce such as onions, apples, pears and other fruits since they excrete a chemical called ethylene. The gas can cause flavor transfer and premature ripening.
From personal experience, potatoes bought from a store are generally already bruised and at high risk of developing rot. Don't drop a bag of potatoes, this will bruise them...
Also, storing potatoes in a warm area will lead to rapid loss. However, they also don't do well in a frost-free refrigerator as this causes rapid dehydration.