Should You Garrison Archers In Towers?

We all know archers and villagers can fire extra arrows when garrisoned in towers/castles/TCs, but is it actually a good idea to garrison archers, or do they deal more damage by staying outside? Let's check it out.

1:25 Greg Street comments on garrison arrows
2:15 Testing damage per shot in/out of towers
2:50 DPS over time in/out of towers
3:32 Specific example of the calculation
4:29 Does the archer's firing rate affect the number of arrows?
5:35 Maximum number of arrows (including Teutons)
6:43 Do Fletching/Bodkin/Bracer add more arrows?
7:26 How many arrows are added by villagers?
8:50 Effect of Inca blacksmith upgrades and Supremacy?
9:07 Crenellations / Teutonic infantry
9:30 The curious case of the Chu Ko Nu

Further reading on garrison arrows:
1. https://web.archive.org/web/20030330104625/http://www.mrfixitonline.com/readPosting.asp?PostingId=397
2. https://www.reddit.com/r/aoe2/comments/2dw71z/castle_garrison_arrows_fired_by_unit_type/
3. http://www.aoe2sheet.info/knowledge_base.html#multiple-arrows

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Game: Age of Empires 2 HD with Forgotten Empires, African Kingdoms, and Rise the Rajas expansions