Please refer to the TechNet article: Search-first migration from FAST Search Server for SharePoint 2010 to SharePoint Server 2013 The TechNet article provides guidance around when to use the migration scripts found on the TechNet Gallery: http://gallery.technet.microsoft.com/Search-first-migration-f793dff0 There was a migration presentation at the 2012 SharePoint Conference. See session SP154 In terms of which type of crawled properties mapped to which type of managed properties are migrated to SP2013 using the PS script, below is a table for reference.
Crawled Property
Migrated?
Notes
Custom
OOB
YES
Together with the other OOB or custom crawled properties mapped to the Managed Property
N/A
NO
This can also be referred as unmapped custom crawled property
Multiple OOB/Custom
Order is also followed
* OOB means out of the box properties that come with SharePoint right after installing a new farm * Custom means either those properties that are automatically generated for SharePoint columns, output from a custom pipeline extensibility or any other non-OOB property
Carsten Siemens edited Revision 3. Comment: Added tag: en-US