This is just a rough sketch of what I've found that would affect your skill damage, besides your base damage and amount of DEX you pump into your character (less DEX = less skill damage added). I'm sure there's exceptions to this chart (for instance, dual daggers).
For a full dex lv 56 bird:
Chart in a nutshell (aka rules of thumb to follow as an archer):
1. Weapons with a WEAPON SPEED OF 1.0 [Guns, Auto-Bows]: Add 118-97 to total weapon damage to get skill damage.
2. Weapons with a WEAPON SPEED OF 0.9 (0.85) [Sunblessed bows, Recurves]: Add 113-92 to total weapon damage to get skill damage.
3. Weapons with a WEAPON SPEED OF 0.6 [Talons, Shivering Black-Ice Crossbow]: Add 137-154 to total weapon damage to get skill damage. This excludes dual daggers.
OR
1. Guns/Bows will add anywhere between 72% to 78% of their damage to skill damage.
2. Talons will add 99% of their damage to skill damage.
There is no single equation relationship that has been derived yet. Only a weapon was equipped during data collection; damage from additional pieces of armor will obviously affect skill damage as well. Ignore the multiplication factor, that turned out to be a complete flop.
Probably will update this over time, or whenever I feel like it again.
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