City Population

City population is a decreasing returns to scale function of the city's land area.

Population Capacity
Population capacity increases with the land area of the city. The formula for population capacity is a piece-wise function, defined as follows where X = Land Area"For 0<=X<5""sqrt(X) * 4000""For 5<=X""sqrt(X)*4472.5 + sqrt(X-5)*27219"Population capacity is always rounded down to the nearest integer.

Population Growth
When the current population is not equal to the population capacity, it will increase or decrease in real-time at a fixed rate of 1 person / second.