Ok! The mathematical formula (which cannot be protected by copyright, so I'm free to post it - and I think something of this scope would fall into fair use anyways) is the following:
STEP 1. Your is simple die + perception + area lore + modifiers, where modifiers are:
a) + magnitude of vis-detecting spell used, if any (if more than one, use the one with the highest Target modifier, e.g. a vis-vision spell beats a vis-smelling spell) or alternatively + score in magic sensitivity, if anyone in the search party has it. Either one or the other. Or something else similar: I'd allow folk witches to use dowsing instead, for example.
b) + realm lore used, but not higher than area lore used. If something other than magic lore is used, half of the vis obtained is of that realm (e.g. faerie vis if faerie lore is used). For areas that are predominantly under the sway of some other realm, I'd tweak this a bit, but you get the idea.
c) + aura, if the entire region searched lies within a magic aura (again, I'd probably tweak this as for b)).
d) -15/-9/-3 depending on whether the same region was searched in the last season, in the last six months, or in the last year. Technically, these are cumulative, so a region searched last season has also been searched in the last six months AND in the last year, for a penalty of -(15+9+3)=-27, though I'm not sure if this was the author's intent.
STEP 2. Determine the ease factor. This is 9 for a very magic-rich area, 12 for an average wilderness, 15 for a settled area, 18 for the typical city. Add 3 or more if there's competition from other magicians/creatures harvesting vis for their own uses.
STEP 3. If you don't match the ease factor, you waste a season.
If you match the ease factor exactly, you find 1 pawn over 1 season.
Every extra point you roll over the ease factor, either yields an extra pawn, or halves the search time. This is cumulative, and can be mixed: if you roll 6 over the ease factor, you could find 2 extra pawns (for a total of 3) over slightly less than a week (1 season halved a total of 4 times, i.e. some 90 days/16 or approximately 6 days).
This is the formula, which assumes a vis-hunting party just tromps around looking for rumours of unusual and/or perfect specimens of things (the finest lamb born that year, the water from the very bottom of the coldest well, a human-looking tree that drips blood etc.). Note that this activity requires no stories, just like work in the lab requires no stories per se. Also, this never yields renewable vis-sources - though obviously the search can be repeated year after year.
Now the criticism.
Beware. This can rapidly become very, very generous! A minor character with +2 perception, magic sensitivity 5, lore of the local forest 6 and magic lore 6 (including specialties), who searches the local mostly non-magical forest every summer, rolls simple die + 2+5+6+6-3 against an ease factor of 12. On average, he'll get over a rook of vis every year he spends the summer hunting for vis.