Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Limits on the evolutionary rates of biological traits

Journal Article · · Scientific Reports
 [1]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); National Inst. of Standards and Technology (NIST), College Park, MD (United States). Joint Center for Quantum Information and Computer Science and Joint Quantum Institute; Univ. of Maryland, College Park, MD (United States)

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
89233218CNA000001; AC52-06NA25396
OSTI ID:
2352303
Alternate ID(s):
OSTI ID: 2426821
Report Number(s):
LA-UR-24-22734
Journal Information:
Scientific Reports, Vol. 14, Issue 1; ISSN 2045-2322
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (79)

Fisher's ?fundamental theorem? made clear journal November 1972
The thermodynamic uncertainty relation in biochemical oscillations journal May 2019
Understanding Natural Selection: Essential Concepts and Common Misconceptions journal April 2009
Stochastic Dynamics through Hierarchically Embedded Markov Chains journal February 2017
Theoretical Approaches in Evolutionary Ecology: Environmental Feedback as a Unifying Perspective journal January 2018
Measurement of Gene Frequency Drift in Small Populations journal June 1955
Introduction to Evolutionary Algorithms book June 2010
Quantum speed limits on operator flows and correlation functions journal December 2022
Stochastic Evolutionary Game Dynamics other April 2009
The evolution of growth trajectories: what limits growth rate? journal April 2010
Coupled replicator equations for the dynamics of learning in multiagent systems journal January 2003
Thermodynamic Uncertainty Relation for Biomolecular Processes journal April 2015
Fundamental Theorems of Evolution journal April 2017
Population structure determines the tradeoff between fixation probability and fixation time journal April 2019
The fundamental theorem of natural selection with mutations journal November 2017
Stochastic Processes for Physicists book June 2012
Quasispecies theory in the context of population genetics journal August 2005
A genetic algorithm tutorial journal June 1994
Speed limits on deterministic chaos and dissipation journal February 2023
The maximum rate of mammal evolution journal January 2012
Unifying Quantum and Classical Speed Limits on Observables journal February 2022
Bounds in nonequilibrium quantum dynamics journal September 2022
Stages of emerging life —Five principles of early organization journal December 1982
Understanding evolutionary and ecological dynamics using a continuum limit journal May 2021
Attribution of climate extreme events journal June 2015
The danger of applying the breeder's equation in observational studies of natural populations journal September 2010
Thermodynamic Uncertainty Relations journal May 1999
Relative Entropy in Biological Systems journal February 2016
Mutation—The Engine of Evolution: Studying Mutation and Its Role in the Evolution of Bacteria: Figure 1. journal September 2015
Tight Bound on Relative Entropy by Entropy Difference journal March 2015
The Fundamental Theorem of Natural Selection journal October 2021
The Fundamental Equations of Change in Statistical Ensembles and Biological Populations journal December 2020
Replicator dynamics journal February 1983
Trait plasticity in species interactions: a driving force of community dynamics journal January 2010
Universal constraints on selection strength in lineage trees journal June 2021
Universal constraint on nonlinear population dynamics journal June 2022
Stochastic evolutionary game dynamics∗ journal October 1990
Time–information uncertainty relations in thermodynamics journal September 2020
Evolutionary Dynamics of Multi-Agent Learning: A Survey journal August 2015
Stochastic replicator dynamics and evolutionary stability journal April 2022
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control journal October 2017
A Reassessment of Genetic Limits to Evolutionary Change journal June 2005
An Exact form of the Breeder'S Equation for the Evolution of a Quantitative Trait Under Natural Selection journal November 2005
Replicator Equations and the Principle of Minimal Production of Information journal February 2010
The theory of games and the evolution of animal conflicts journal September 1974
Natural selection. IV. The Price equation* journal April 2012
Statistical Inference in the Wright–Fisher Model Using Allele Frequency Data journal August 2016
The solitary wave of asexual evolution journal January 2003
Quantitative evolutionary dynamics using high-resolution lineage tracking journal February 2015
The Uncertainty Relation Between Energy and Time in Non-relativistic Quantum Mechanics book January 1991
Stochastic game dynamics under demographic fluctuations journal July 2015
Generative replication and the evolution of complexity journal July 2010
Selection and Covariance journal August 1970
Natural selection. V. How to read the fundamental equations of evolutionary change in terms of information theory journal November 2012
Climate change impacts on the atmospheric circulation, ocean, and fisheries in the southwest South Atlantic Ocean: a review journal July 2020
Lower Bounds on Quantum Annealing Times journal April 2023
The genetical theory of natural selection. book January 1930
The selection mutation equation journal December 1985
The Functions of Biological Diversity in an Age of Extinction journal June 2012
Stochastic Replicator Dynamics journal May 2000
Thermodynamic uncertainty relations constrain non-equilibrium fluctuations journal November 2019
Improving Thermodynamic Bounds Using Correlations journal December 2021
Biodiversity redistribution under climate change: Impacts on ecosystems and human well-being journal March 2017
A tribute to Claude Shannon (1916-2001) and a plea for more rigorous use of species richness, species diversity and the ‘Shannon-Wiener’ Index journal April 2003
The replicator equation and other game dynamics journal July 2014
Beneficial mutations and the dynamics of adaptation in asexual populations journal April 2010
Unified approach to classical speed limit and thermodynamic uncertainty relation journal December 2020
Have you tried turning it off and on again? Oscillating selection to enhance fitness-landscape traversal in adaptive laboratory evolution experiments journal December 2023
Optimization of gene expression by natural selection journal January 2009
Beneficial Mutation–Selection Balance and the Effect of Linkage on Positive Selection journal May 2007
Responses of Marine Organisms to Climate Change across Oceans journal May 2016
Evolutionary Dynamics: Exploring the Equations of Life book January 2006
Spatiotemporal microbial evolution on antibiotic landscapes journal September 2016
The Fundamental Theorem of Natural Selection journal May 2002
Evolutionary models in economics: a survey of methods and building blocks journal June 2009
Geometric speed limit for acceleration by natural selection in evolutionary processes journal May 2023
The different limits of weak selection and the evolutionary dynamics of finite populations journal July 2007
The effect of population structure on the rate of evolution journal July 2013
III.8. Evolutionary Limits and Constraints book December 2013

Similar Records

Limits on the Evolutionary Rates of Biological Traits
Technical Report · Fri May 17 00:00:00 EDT 2024 · OSTI ID:2377304

A pleiotropic nonadditive model of variation in quantitative traits
Journal Article · Tue Nov 01 00:00:00 EST 1994 · Genetics · OSTI ID:56853