there are many different mining pools and each single pool owns multiple different servers in different locations. so for example when you see F2POOL has X% of the hashrate, that is being spread among multiple servers not just one to be shut down with a natural disaster or any other thing.
additionally as it was mentioned it is miners who connect to these servers and if one went down they simply switch to another one. although this can take some time but it won't harm the bitcoin network in any major way. worst case is seeing a small rise in the time between blocks that are found until miners make the migration.