2022/07/11 by M. Hoshino, Hoshino, Masahiro, Ryuna Nagayama +7
Biochemistry, Genetics and Molecular Biology · Computer Science · Social Sciences · #Biological Physics (physics.bio-ph) #Evolution and Genetic Dynamics #Evolutionary Algorithms and Applications #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Physical sciences #Populations and Evolution (q-bio.PE) #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2207.04640
openalex publication_date 2022/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derived a new speed limit in population dynamics, which is a fundamental limit on the evolutionary rate. By splitting the contributions of selection and mutation to the evolutionary rate, we obtained the new bound on the speed of arbitrary observables, named the selection bound, that can be tighter than the conventional Cramér--Rao bound. Remarkably, the selection bound can be much tighter if the contribution of selection is more dominant than that of mutation. This tightness can be geometrically characterized by the correlation between the observable of interest and the growth rate. We also numerically illustrate the effectiveness of the selection bound in the transient dynamics of evolutionary processes and discuss how to test our speed limit experimentally.