I do most of my tillering with a scraper. First I decide on the front profile and cut it out with a band saw. Then I decide the minimum and maximum thickness of the working limbs and cut them to the maximum thickness that is usually 3/4 inch. Then I usually cut the middle half, 14 to18 inches, to a little more than the minimum that is usually 1/2 inch in thickness. This size is adjusted according to the front profile. I mostly make light weight bows around 35 pounds. Then I start bending the stave to see where to scrape. I guess that means I start in the middle of the working limb.
I usually leave alone the innermost 4 inches near the fade. I also leave alone the outermost 6 inches at the tip, for the time being. That means I usually have less than 18 inches in the middle to start scraping. Once I have the stave floor tillered that way, I start to use long even strokes of scraping, covering almost the whole working limb, moving up and down several inches as necessary. I am no expert. This is just the way I work in most cases.