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How Good Is Northwestpassage For Your Economy? AOE 3

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The french card Northwest Passage increases the Speed of cdb's by 20 % and also gives them extra dmg vs guardians. How Good Is Northwestpassage For Your Economy?
Is the Card northwestpassage better than a similar economic card (Economic Theory)?

First of you might say: Northwest passage doesnt increase the gather rate it only increases the movement speed.
Yes you are absolutely right, but your cdbs spend a considerable amount of time walking around, especially on farms/ estates.
I want to focus on the Effect of northwest passage on the Mill & estate gather rate in this video.

First of: What are the Tests i ran:
I made a scenario with 100 cdbs on Mills & Estates and let them gather for 5 minutes. Then i looked at how many ressources were collected and calculated the Gatherrate / seconds. I ll Blend in the Formula

GatherRate = (EndRess - StartingRess) / Time / VillAmount

I did this for the following 4 scenarios:

Unupgraded
Unupgraded + NorthwestPassage
Postimperial 
Postimperial + NorthwestPassage

Now lets Talk about the Results:
First of Food: 
If you look closely on your CDB's they will Gather, then move to the next point and then they will gather more. They dont Gather when they are moving on the Mill. To describe this phenomenon I used The Factor "WalkingFactor" in the previous Video, which is the percentage of the Tooltip compared to the measured Rate. For CDB's and this experiment it is at 69% (hehe) and consistent with my previous tests. 
WalkingFactor = Tooltip / Real.

Now to the Results: 
For Unupgraded Vills you get a Gatherrate Increase of 3.1 % and for Postimperial a GatherRate Increase of 5.2 %. This means, the higher your gather Rate on mills, the bigger the impact of the movement speed becomes. But even then, it is worse compared to Economic Theory, which increases the Rate by 10 %.

Formula:
GatherRateIncrease = (GatherRatePlusMovementSpeed - RealGatherRate) / RealGatherRateBaserate 
= (1.15 - 1.12) / 0.58 
= 5.2%

A similar story for estates:

Estates have a WalkingFactor of 0.74 and the Northwestpassage increses the Gatherrate by 3.3 % without upgrades and 7.1% with postimperial upgrades.

Patch: April 2021

Age of Empires III: Definitive Edition© Microsoft Corporation. This Video was created under Microsoft's "Game Content Usage Rules" ( https://www.xbox.com/en-US/developers/rules ) using assets from Age of Empires III: Definitive Edition, and it is not endorsed by or affiliated with Microsoft.

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