While reading through the China Feedback thread, I came across a common argument regarding location density. This reminded me of others I've seen, and I wanted to outline the general points as well as my thoughts on this.
The main points of contention regarding location density are:
1) What should location density in the game be based on? Should it reflect historical administrative divisions, population density, or the relative importance/interest of an area? (See this previous post.)
2) Does a certain region give an advantage or disadvantage to countries located there based on the region's location density? That is, is the general power of a country higher than it otherwise would be given that the land it owns has a higher/lower location density?
3) Does, and should, location density give a bias in terms of power and/or focus to Europe in particular, while neglecting and underpowering other areas of the world? Europe definitely has the highest location density, and in EU4 density meant more power.
I mostly wanted to focus on contention 2) and 3) above. I think @JacceDON laid out the fundamental question/experiment of strength of location density well in his reply when he said:
"Have we seen the statistical difference in resource output and power of - say - a population of 10 million spread out over 500 locations compared to the same population in just 100 locations? Of course a location with more pops is better, but does it scale correctly compared to just owning more locations?"
Regarding contention 2), here are some thoughts I had for the Advantages and Disadvantages of Location Density:
Low Location Density Stronger:
1) lesser difficulty propagating control due to control loss moving from one location to the next
2) country can be well covered by forts more cheaply and defended by armies more responsively
3) economics of scale for your buildings, i.e. greater than linear growth of buildings based on population, as higher building levels are made available by high population provinces being able to supply the necessary labor
4) cabinet actions I believe work on a limited area at a time
High Location Density Stronger:
1) having access to a greater variety of recourses (not as relevant once you have so many locations that gaining more is mostly repeat resources)
2) your enemy has to conquer more locations
3) more places to build buildings with flat (not scaling with location population) modifiers like +50 manpower
4) the existence of some base (pop independent) production, possible less than linear growth of production with population, and possible cap on production where any higher population wouldn't give any benefits?
5) soft cap on location population capacity based on terrain/vegetation/climate, mostly relevant for population potential once the nation has become more developed and time has passed
I would be interested if anyone could provide more info on this topic, especially on the details regarding how population affects resource production. What are other ways that location density might be an advantage/disadvantage?
I don't want this to be a repeat of the location density post from February or lend too much focus to contention 1) above. I prefer locations to generally reflect historical administrative divisions, and I like that Europe's locations are denser. Shifting to contention 3), I was hoping to more so get at the question of does this make Europe disproportionately stronger than it otherwise would be, or should be? Let's say we agree that higher location density does give a power advantage, is this a good thing? If we wanted to mitigate this bias, we could ask for an adjusted location density distribution (as I have seen often and am not necessarily opposed to), or (my preference) we could find a way to dampen the density effects on a given territory by somehow addressing the advantages/disadvantages of density that I outlined above. Make it so that the example given by @JacceDON above yields two situations of roughly equal power, or at least one of them not being overwhelmingly stronger given a certain meta gameplay.
PS. After reading through comments and thinking about it more, I have a better guess as to how location density will be an advantage vs. disadvantage.
Early Game: I think that in the early game low location density will be stronger. Population is overall much lower in the early game, so having low density will lead you to having more of the scarce high pop locations. Control is much more difficult to come by in the early game, and as I identified that lower density makes control propagation easier, this makes low density stronger earlier on. Levies are seemingly only important early game, and your levy size isn't dependent on having many buildings with flat manpower bonuses in many different locations.
Mid-Late Game: Higher location density will be stronger. As nations and economies develop, especially the player's, population capacity becomes more of a constraint (an assumption). Regions with low location density will have locations hitting the soft caps on their growth curves earlier on, while high location density regions can continue to grow. Locations from low location density areas may also start hitting caps on things like industry size/level. Manpower becomes much more important with professional armies, and for a given total population, you can seemingly have more manpower with more provinces.
How to fix this: I think certain things need to have a way to scale with the actual size of locations or the total population of a given location.
1) Population Cap: This should in some way scale with the actual size of the location. If both a Chinese and a European location are flatland/farmland, and the Chinese location is twice as large, this needs to be reflected in the population capacity of that location. Additional, maybe less-than-linear, modifier to pop cap based on the size of locations.
2) Manpower Buildings: Needs a way to make manpower be more relative to the population of the province. No more flat manpower modifier that greatly advantages high location density regions. There are many ways this could be accomplished.
3) Cabinet Actions: Scale the time for actions with the population the action is performed on. Doesn't necessarily need to scale linearly. Could also scale with province actual size.
4) Forts: Not as significant with the others, but some scaling of the fort cost/maintenance with the actual size of the location. You shouldn't get extra coverage of your population and such just because the location happens to be larger.
The main points of contention regarding location density are:
1) What should location density in the game be based on? Should it reflect historical administrative divisions, population density, or the relative importance/interest of an area? (See this previous post.)
2) Does a certain region give an advantage or disadvantage to countries located there based on the region's location density? That is, is the general power of a country higher than it otherwise would be given that the land it owns has a higher/lower location density?
3) Does, and should, location density give a bias in terms of power and/or focus to Europe in particular, while neglecting and underpowering other areas of the world? Europe definitely has the highest location density, and in EU4 density meant more power.
I mostly wanted to focus on contention 2) and 3) above. I think @JacceDON laid out the fundamental question/experiment of strength of location density well in his reply when he said:
"Have we seen the statistical difference in resource output and power of - say - a population of 10 million spread out over 500 locations compared to the same population in just 100 locations? Of course a location with more pops is better, but does it scale correctly compared to just owning more locations?"
Regarding contention 2), here are some thoughts I had for the Advantages and Disadvantages of Location Density:
Low Location Density Stronger:
1) lesser difficulty propagating control due to control loss moving from one location to the next
2) country can be well covered by forts more cheaply and defended by armies more responsively
3) economics of scale for your buildings, i.e. greater than linear growth of buildings based on population, as higher building levels are made available by high population provinces being able to supply the necessary labor
4) cabinet actions I believe work on a limited area at a time
High Location Density Stronger:
1) having access to a greater variety of recourses (not as relevant once you have so many locations that gaining more is mostly repeat resources)
2) your enemy has to conquer more locations
3) more places to build buildings with flat (not scaling with location population) modifiers like +50 manpower
4) the existence of some base (pop independent) production, possible less than linear growth of production with population, and possible cap on production where any higher population wouldn't give any benefits?
5) soft cap on location population capacity based on terrain/vegetation/climate, mostly relevant for population potential once the nation has become more developed and time has passed
I would be interested if anyone could provide more info on this topic, especially on the details regarding how population affects resource production. What are other ways that location density might be an advantage/disadvantage?
I don't want this to be a repeat of the location density post from February or lend too much focus to contention 1) above. I prefer locations to generally reflect historical administrative divisions, and I like that Europe's locations are denser. Shifting to contention 3), I was hoping to more so get at the question of does this make Europe disproportionately stronger than it otherwise would be, or should be? Let's say we agree that higher location density does give a power advantage, is this a good thing? If we wanted to mitigate this bias, we could ask for an adjusted location density distribution (as I have seen often and am not necessarily opposed to), or (my preference) we could find a way to dampen the density effects on a given territory by somehow addressing the advantages/disadvantages of density that I outlined above. Make it so that the example given by @JacceDON above yields two situations of roughly equal power, or at least one of them not being overwhelmingly stronger given a certain meta gameplay.
PS. After reading through comments and thinking about it more, I have a better guess as to how location density will be an advantage vs. disadvantage.
Early Game: I think that in the early game low location density will be stronger. Population is overall much lower in the early game, so having low density will lead you to having more of the scarce high pop locations. Control is much more difficult to come by in the early game, and as I identified that lower density makes control propagation easier, this makes low density stronger earlier on. Levies are seemingly only important early game, and your levy size isn't dependent on having many buildings with flat manpower bonuses in many different locations.
Mid-Late Game: Higher location density will be stronger. As nations and economies develop, especially the player's, population capacity becomes more of a constraint (an assumption). Regions with low location density will have locations hitting the soft caps on their growth curves earlier on, while high location density regions can continue to grow. Locations from low location density areas may also start hitting caps on things like industry size/level. Manpower becomes much more important with professional armies, and for a given total population, you can seemingly have more manpower with more provinces.
How to fix this: I think certain things need to have a way to scale with the actual size of locations or the total population of a given location.
1) Population Cap: This should in some way scale with the actual size of the location. If both a Chinese and a European location are flatland/farmland, and the Chinese location is twice as large, this needs to be reflected in the population capacity of that location. Additional, maybe less-than-linear, modifier to pop cap based on the size of locations.
2) Manpower Buildings: Needs a way to make manpower be more relative to the population of the province. No more flat manpower modifier that greatly advantages high location density regions. There are many ways this could be accomplished.
3) Cabinet Actions: Scale the time for actions with the population the action is performed on. Doesn't necessarily need to scale linearly. Could also scale with province actual size.
4) Forts: Not as significant with the others, but some scaling of the fort cost/maintenance with the actual size of the location. You shouldn't get extra coverage of your population and such just because the location happens to be larger.
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