The in-game Leaderboard:

Let’s assume 200,000 active players as the cardinal number and distribute them to 39 ranks, so hence we can get a Gaussian distribution followed by it. After calculating it by the 4 weeks in each season, we can see the derivative formula as shown:

According to the formula, the proportions for these players in each rank shall be like the following:

The connection between the rank rewards and incubation