According to the WAL Point-in-time recovery and incremental backup documentation, pg_basebackup and wals are used to take backups and incremental backups of a running PostgreSQL cluster.
I wonder if there is a way to take incremental backups per database instead of the entire cluster.
You're not the first to ask (I wasn't the first either...), and not the first to hear said, "it's not possible".
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Angular momentum makes the world go 'round.
Angular momentum makes the world go 'round.