Totems and Titles! They grant you bonus production on your land, which is pretty awesome. But is it worth it? How long does it take to make back your money? How much DEC / Ressource / PP would you need to get back your investment in one year?
After having my brain cook in statistics yesterday in another exuberant comment tutorial/challenge by 
You have two slots on your land. One is for Totems, one is for Titles. Totem Claims lead to totems, so it doesn't really matter which one you buy - take the cheaper one I'd say.
Totems are easy. Common = 10% boost, Rare = 25% boost, Epic = 50% boost, Legendary = 100%.
Titles, on the other hand, are not common. You can find rare (10%), epic (25%), and legendary (50%). And there are many.
Today, we'll be working with the cheapest ones.
This one was very easy.
Conclusion here is also easy - go for totems first. When you have totems on all your land plots, you can think about titles.
But we can also translate all that into DEC and resources:
Due to Grain, I had to put it in a log-scale. In a table, it looks like this:
Please remember that my excel is German - (.) separates thousands, (,) decimals
No surprise for the moment here, but it gets more interesting when we keep working on this. Here comes the next step!
This time, I won't bother you with a diagram - it shows the same as above, just different values. Divided by 365 and such.
Here's the table:
Of course, we can can translate that into how much PP we would need to produce all that, including the boost. Again, the proportions always stay the same. But the calculation is quite different and I might have done mistakes.
Calculation: Needed Base PP = X/Y/24/0,9/0,5/1,1
X = Resource per day (for Grain 4550 as shown above)
Y = Resource production per PP (e.g. 0,02 for Grain)
/24 = hours of a day, as PP is an hourly metric
/0,9 = including the 10% tax
/0,5 = including the grain consume
/1,1 = including the boost, in this case 10% for common totem
I checked with my account, I think I did it right. Anyway, here's the table for that.
Some of those seem possible right from the start, especially the common totem, maybe even the Rare totem and Rare title, if you go for specific high value legacy cards. Which leads to the next step.
That, too, can be calculated! Let's assume we use my general 50k PP plot, and different resources. Each calculation includes an extra plot on the side to produce grain, 1 PP grain produces grain for another PP.
Calculation:
Days to break even = A/(50000 * B * 24 * 0,9 * 0,5 * 1,1)
A = Total resource cost
B = Resource production per PP
*24 = hours of a day, as PP is an hourly metric
*0,9 = including the 10% tax
*0,5 = including the grain consume
*1,1 = including the boost, in this case 10% for common totem
Common and rare get it done rather quickly! But Legendary... wow. That's a loooooong time. Wood is almost at peg with grain now, as we can see, by the way. Iron is still far below, stone still a bit above. Still, let's say we can wait for over 15 years, there is still one more question.
You see, a 100% boost has to be better than a 10% boost at one point. To find that point, I went a little deeper into the rabbit hole. Here's the result:
For a certain person, I put in the formula to calculate the steepness, as they always ask for more and weird metrics. Not saying names here, but we all know who it is.
I separated rare and epic totems, as it was a very overloaded graphic before.
Rare crosses over Common after 3000 days, and gets crossed by Epic after 7200 days. Epic crosses Common at 5600 Days.
Meaning, Epic is a late starter, as dealt with a big disadvantage from the beginning.
I'm going to get some Common Totems asap. Those things appreciate quickly! Even with 25k PP, it would take me less than a year to get it back.
As for the rest - calculate! The formula are there. You can also just download my ever growing sheet from the big bad G and use the calculator I put there:
Don't forget to also put in new prices, to be more accurate. As always, all those values depend on many variables that determine the prices of resources and DEC and $ and all that.
This was fun, I hope it serves you! Have a good night!
Former posts:
Calculating Land part 1 - How to get your ROI
Calculating Land part 2 - Are pools worth it?
Calculating Land part 3 - Organic Growth
Land Plot Efficiency for non-whales
Card-Production-Coefficient - Combining LPE and ROI
Renting for Land - at what cost?
Risks to my strategy
What do refined resources cost?
Real cost of Wagons
How to perfectly adjust your wagons
Thank you very much for reading, I hope you enjoyed it at least as much as I enjoyed writing :-D If you have any comments or feedback - please let me know! And don't forget to leave your own posts for me to curate. Thank you very much!
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