Geometric speed limit for acceleration by natural selection in evolutionary processes

Hoshino, Masahiro; Nagayama, Ryuna; Yoshimura, Kohei; Yamagishi, Jumpei F.; Ito, Sosuke

doi:10.1103/physrevresearch.5.023127

Cited by 6 publications

(11 citation statements)

References 76 publications

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“…Hoshino and co-workers obtained geometric speed limit for acceleration by natural selection in evolutionary processes [54]. Geometric…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile,the recent advancements in QSLs extensions to How quickly an observable change, or a finite speed that is constrained by the topological structure of the underlying dynamics [28,37,[45][46][47][48][49][50]]. Particularly, QSLs based on the geometric of quantum state give a vivid interpretation and deep physical insight to this problem [51,52], such as Vu and Hasegawa derive geometrical bounds on the irreversibility in both quantum and classical Markovian open systems [53],Hoshino and co-workers obtained geometric speed limit for acceleration by natural selection in evolutionary processes [54]. Geometric…”

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confidence: 99%

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Quantum evolution speed and its limit in the driven double‐well system

Xu,

Zhang,

Huang

2023

Int J of Quantum Chemistry

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We investigate quantum evolution speed in the driven double‐well system using the entangled trajectory molecular dynamics method. We emphasize not only the evolution speed of the quantum state but also its limit according to different definitions. The Wasserstein 1‐distance is used to quantify the distance between distinguishable quantum states in the phase space, the quantum speed limit based on the geometry has been shown to be the strictest one. The single trajectory's contribution to the quantum speed limit is discussed, which is related to both the time evolution of the trajectory and its position in the total Wigner function. The resonance and chaos strongly enhance the evolution speed and its limit in the driven double‐well system. The resonance effect makes a large proportion of representative points pass through the well as a whole, nevertheless, the chaos makes the Wigner function disperse in the phase space.

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“…Hoshino and co-workers obtained geometric speed limit for acceleration by natural selection in evolutionary processes [54]. Geometric…”

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Quantum evolution speed and its limit in the driven double‐well system

Xu,

Zhang,

Huang

2023

Int J of Quantum Chemistry

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“…The results in Ref. 16 separate contributions from natural selection and mutations, but do not account for genetic drift. Moreover, the results in Refs.…”

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confidence: 99%

“…The most related results have appeared in Refs. 15,16 . Both articles rely on information theory to bound the evolutionary rates of arbitrary traits.…”

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confidence: 99%

“…Moreover, the results in Refs. 15,16 involve information-theoretic quantities (versions of the Fisher information) that can be hard to evaluate unless one possesses enough knowledge about the dynamics of the system. In contrast, the main results in this article depend on averages and standard deviations that are often more accessible from experimental data.The main outcome of this paper is a set of inequalities that constrain the evolution rate of any quantitative biological trait A (e.g., of a particular phenotype) in terms of simple properties of the system of interest.…”

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confidence: 99%

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Limits on the evolutionary rates of biological traits

García-Pintos

2024

Sci Rep

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This paper focuses on the maximum speed at which biological evolution can occur. I derive inequalities that limit the rate of evolutionary processes driven by natural selection, mutations, or genetic drift. These rate limits link the variability in a population to evolutionary rates. In particular, high variances in the fitness of a population and of a quantitative trait allow for fast changes in the trait’s average. In contrast, low variability makes a trait less susceptible to random changes due to genetic drift. The results in this article generalize Fisher’s fundamental theorem of natural selection to dynamics that allow for mutations and genetic drift, via trade-off relations that constrain the evolutionary rates of arbitrary traits. The rate limits can be used to probe questions in various evolutionary biology and ecology settings. They apply, for instance, to trait dynamics within or across species or to the evolution of bacteria strains. They apply to any quantitative trait, e.g., from species’ weights to the lengths of DNA strands.

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Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport

Ito

2023

Info. Geo.

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We propose a geometric theory of non-equilibrium thermodynamics, namely geometric thermodynamics, using our recent developments of differential-geometric aspects of entropy production rate in non-equilibrium thermodynamics. By revisiting our recent results on geometrical aspects of entropy production rate in stochastic thermodynamics for the Fokker–Planck equation, we introduce a geometric framework of non-equilibrium thermodynamics in terms of information geometry and optimal transport theory. We show that the proposed geometric framework is useful for obtaining several non-equilibrium thermodynamic relations, such as thermodynamic trade-off relations between the thermodynamic cost and the fluctuation of the observable, optimal protocols for the minimum thermodynamic cost and the decomposition of the entropy production rate for the non-equilibrium system. We clarify several stochastic-thermodynamic links between information geometry and optimal transport theory via the excess entropy production rate based on a relation between the gradient flow expression and information geometry in the space of probability densities and a relation between the velocity field in optimal transport and information geometry in the space of path probability densities.

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Geometric speed limit for acceleration by natural selection in evolutionary processes

Cited by 6 publications

References 76 publications

Quantum evolution speed and its limit in the driven double‐well system

Quantum evolution speed and its limit in the driven double‐well system

Limits on the evolutionary rates of biological traits

Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport

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