Port Population Consumption & Growth Rate (Small)

[DezNutz]

Can you update your Population Growth Equation. It is missing Parentheses. You have 3 open (Left) parentheses but 5 close (right) parentheses.

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Population Growth = ( -0.1% * ((Port Population/1000000) * 6 / 950) + (1/19)) + 0.2% * (Availability/Consumption)  ) / TM

CJ, the above formula has a flaw in it besides the numerous missing parentheses which make it really hard to determine how the formula was supposed to work.

Based on your statements of ~300M is where positive and negative growth changes I ran some simple calculations.

Keeping it simple I assumed that Availability and Consumption were equal (1/1 = 1), eliminated the TM, and converted to decimals for the two percentages.

To better understand the formula, I decided to find the population (X) in which the formula of -0.001X + 0.002 = 0 (-0.1%X + 0.2% = 0)

Using the original provided formula did not make any sense especially when considering the 1/19 and lack of parentheses. In my previous calculations I noted that 1/19 = 0.05263

So I choose to run the calculation -0.001 * (Pop / 1M * 6 / 950) with out the 1/19 on a population of 300M. I got -0.00189. Close but not exact.

Being so close to -0.002, I decided to drop the -0.001 from the calculation and just work to achieve 2 by increasing the population.

Low and behold on a population of 325M using the formula (Pop / 1M * 6 / 950), the result came to 2.05263

The 1/19 finally made sense, but not in the manner the original formula provided.

I believe the correct Population Growth Formula is as follows:

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Population Growth = (-0.1% * ( ( (Population/1000000) * 6 / 950) - (1/19)) + 0.2% * (Availability/Consumption) ) / TM

Additionally, the 6/950 can be reduced to 3/475. They are mathematically the same.

This makes the population of 325M the exact population that separates positive and negative growth, assuming that supply = demand and there is no oversupply.

Based on my calculations:

A port with a population of 2.1B would have a supply/demand based growth rate of -1.32% or -27.74M if no cargo is supplied to the port.

A port with a population of 25M would have a supply/demand based growth rate of -0.01% or -2632 if no cargo is supplied to the port.

Additionally, is the TM necessary? A port with a population of 2.1B would take 242 days for it to reach a population of 500.5M if no cargo is supplied to the port, and with no black deaths, transport immigrants, crews hired, or work as a porter used to influence the population.

[DezNutz]

I have a different thought on consumption as well. I don't think all resources should be consumed at the same rate. From a realistic approach, Food and Wood would have the highest consumption. Food is consumed daily by people and livestock. Wood is used to build homes, plantations, ships, and is also used as a fuel for heat and to cook food. The consumption of these two resources should outweigh the others. Iron and Tools are somewhat durable. While there would be a demand for them, they aren't going to have a demand that matches that of the others and should have the lowest consumption. Tobacco, Rum, and Cotton are the middle ground in consumption. Tobacco and Rum would be similar to food and wood, but as they are luxuries, demand for them would not be as high as food and wood. Cotton is the hardest to determine but is definitely middle of the road compared to tools or wood. Cotton's uses are extensive but it isn't exactly a material that doesn't last, it does have durability.

[Captain Jack]

Updated first post:

This feature cannot follow Plantations right away after all. The reason is Party Cards. The party cards will need to be removed before we can forward this feature.

Since Party cards are important to the game right now, this cannot receive a top priority right now. However, it has to happen in the near future. This means that we need to find competitive replacements for this cards. The three new cards will replace current cards.

The replacement cards should be useful for either trading or plantations. Please do not post ideas here, use the Voodoo Suggestions forum instead.