Scarfs are defined by the length of their slopes in relation to the thickness of the pieces being joined together; this relationship is described as a simple ratio—for example, a 4:1 scarf in a 1"-thick piece would have a slope length of 4", measured parallel to the timber’s surface. Traditionally, scarf ratios have been driven by the location of the scarf: 4:1 for planks, 6:1 (possibly 8:1) for keels, and 12:1 for spars. The old Lloyd’s of London rules state that plank scarfs should not have a length-to-thickness ratio less than 4:1, adjacent planks should not have scarfs within 1.2m of each other (about 4'), and a minimum of three complete planks should separate scarfs in the same transverse plane. In addition, keel scarfs should have a ratio no less than 6:1, and the keel and hog scarfs should be spaced by at least 1.5m (about 5'), while being clear of engine bedlogs and maststeps. In those historical instances, it can be deduced that an increased scarf ratio leads to greater strength but that scarfs still represent weak spots that should be spaced out and not subjected to high localized loads. Richard Birmingham, in his book Boat Building Techniques, states that the efficiency of scarfs ranges from 65 percent of the strength of solid timber for a 4:1 ratio and up to 95 percent for a 20:1 ratio. The source of these values is not clear, nor is their accuracy when utilizing various glues and wood species.