FROM REDDIT: DATA IS BEAUTIFUL

If every day 1% of humans turned into turkeys and 1% of turkeys turned into humans, the two populations would reach equilibrium in just over one year.
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This graph attempts to answer, by modeling populations as closely as possible using available data (and without using calculus for more precise daily estimates), the following question: "What if every day, every human being had a 1% chance of being turned into a turkey and every turkey had a 1% chance of being turned into a human?" It is assumed that each individual can change only one time per day. Only living individuals (not deceased humans nor processed turkey carcasses) were included.

Humans and Turkeys