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.
Foutel-Rodier, E
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In an idealized model, evolutionary adaptation speed peaks at intermediate selection pressure due to a phase transition where random effects overtake genetic fitness, illustrating a biological Goodhart's law.
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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.
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Selection of the fittest or selection of the luckiest: the emergence of Goodhart's law in evolution
In an idealized model, evolutionary adaptation speed peaks at intermediate selection pressure due to a phase transition where random effects overtake genetic fitness, illustrating a biological Goodhart's law.