In a one-dimensional branching Brownian motion with reflection at 0 and killing at L to fix population size ~N, the large-N limit with cloud width c log N yields Yaglom demographic fluctuations and Kingman coalescent genealogy with binary mergers near the reflecting boundary.
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Power-law scaling of the effective population size in a branching particle system for moderate mutation-selection
In a one-dimensional branching Brownian motion with reflection at 0 and killing at L to fix population size ~N, the large-N limit with cloud width c log N yields Yaglom demographic fluctuations and Kingman coalescent genealogy with binary mergers near the reflecting boundary.