It's interesting that the black algae is so hearty in your area. It might depend on the specific species. In lab studies by Sommerfeld & Adamson in 1980, Oocystis sp. green alga is the easiest to kill, next is Phormidium minnesotense (Tilden) Drouet black alga, and the hardest is Pleurochloris pyrenoidosa Pasher mustard alga. The chlorine inhibition level for the mustard alga was roughly double that of green alga and black alga was about halfway in between. Of course, they had the black algae free-floating and not adhering to plaster surfaces.
In most pools, having Ben's Min level of chlorine combined with weekly brushing keeps away black algae, at least as far as we can tell from reports on these pool forums. Your situation is (unfortunately for you) more difficult -- possibly due to the heartier local alga species. At least you've found a reasonable way to manage it. I assume you tried other less stringent methods with weekly brushing but were unsuccessful (i.e. the black algae would slowly return).
Richard
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