We derive the asymptotic behaviour of the genealogy of a logistic branching process in the setting where the equilibrium population size is large. In three regimes on the tail of the offspring distribution we recover the Kingman, Beta (2-α, α) and Bolthausen-Sznitman coalescents as a scaling parameter governing the population size is taken to infinity, the deduction going via the convergence in distribution of a modified lookdown construction. This resolves a question asked in arxiv: 2501. 16837 who studied the same population process forwards in time and showed convergence of the type frequency process to the corresponding Λ-Fleming-Viot process in each regime.
Garrett et al. (Fri,) studied this question.