Finally, the food runs out and the population collapses. The sad ruins are put in a keg and sold to fraternities. Save your spreadsheet. Ant colonies have a weird reproductive method. The only individual that reproduces is the queen, who does nothing put pump out eggs all day.
Lets say that a queen ant produces a fixed number of eggs per day.
For our simulation let her produce 100 eggs per day. Worker ants are not so lucky. They die after two generations. We are assuming that there are 100 new ants per generation due to 100 hatching eggs. Notice how this matches the formula in words discussed above.