I've been playing a bit with the numbers.
Unless I did something terribly wrong, I got:
On average how many bonuses are captured in given turn:
T1 T2 T3 T4 T5 T6+ total
0.1565 1.5085 0.9484 0.7608 0.6087 3.4061 7.3889
Which frankly I find that a bit odd. Surprised so few bonuses captured turn 3+, so many few total, especially considering those numbers are joint for 2 players. Maybe some games simply ended early, but still, only 3,37 in first 4 turns?