Table 2.

Transition rates of events in the two ancestral processes 𝒞^(ρ) and 𝒟^(∞).

	Transition	Rate
Type	(a, b, c, d) ↦	𝒞(ρ)	𝒟(∞)
I	(a, b, c − 1, d − 1)	c(c − 1)/2*	0
II	(a, b, c − 1, d)	0	c(c − 1)/2
III	(a, b, c, d − 1)	0	d(d − 1)/2
IV	(a − 1 b, c, d)	a(a + 2c − 1)/2	a(a + 2c − 1)/2
V	(a, b, − 1, c, d)	b(b + 2d − 1)/2	b(b + 2d − 1)/2
VI	(a − 1, b − 1, c + 1, d + 1)	ab	ab
VII	(a + 𝕀{c > 0}, b + 𝕀{d > 0}), c − 𝕀{c > 0}, d − 𝕀{d > 0})	ρc/2*	ρmax{c, d}/2

^*Defined only when c = d.