Reindexing while updating documents?

Hi,

What if I've changed mapping for my index and wants to reindex?

I'm currenly using the Java API which does not yet have the reindex functionality, so using bulk would solve my problems. So the solution would look something like this

Long time ago
create index MY_INDEX_1
create mapping for MY_INDEX_1
create alias MY_INDEX_1 -> MY_INDEX
create documents in MY_INDEX

Time to reindex!
create index MY_INDEX_2
create mapping for MY_INDEX_2
scroll search + bulk all documents from MY_INDEX_1 to MY_INDEX_2

Renaming and deletion of old index
create alias MY_INDEX_2 -> MY_INDEX
delete alias MY_INDEX_1 -> MY_INDEX
delete index MY_INDEX_1

But what happens, while reindexing all documents, a document that was reindexed in the beginning is updated from a user.
Or that between reindexing and rename aliases the above happpens?

One way would be using external version, such as it does not overwrite an document with an higher version
Or could it be solved in another way?
Or between renaming aliases and deleting my_index_1, reindexing all documents that has been indexed since the reindexing? But then still it would be the case that a document has been updated between renaming aliases and second reindexing

Or should we lock while reindexing? Seems like a bad solution..