Hi,
In short terms, you need to make sure the get filled up to 100%. One classical reason is that collocation is turned on. This is good for restore speed and minimizing tape mounts, but will, as you say, eat all your scratch tapes. For the tape stg pool, look for the setting 'collocation', and reclaim settings.
Upd stg tapepool recla=50 collocate=no
A low reclaim valyou will eat tapedrives. You may want to start of higher, and work downwards.
Håkon