Universal constraints on selection strength in lineage trees

Abstract

We obtain general inequalities constraining the difference between the average of an arbitrary function of a phenotypic trait, which includes the fitness landscape of the trait itself, in the presence or in the absence of natural selection. These inequalities imply bounds on the strength of selection, which can be measured from the statistics of trait values and divisions along lineages. The upper bound is related to recent generalizations of linear response relations in Stochastic Thermodynamics, and shares common features with Fisher's fundamental theorem of natural selection, and with its generalization by Price, although they define different measures of selection. The lower bound follows from recent improvements on Jensen's inequality, and both bounds depend on the variability of the fitness landscape. We illustrate our results using numerical simulations of growing cell colonies and with experimental data of time-lapse microscopy experiments of bacteria cell colonies.

References in corpus (9)

• Life is physics: evolution as a collective phenomenon far from equilibrium
• Statistical Genetics and Evolution of Quantitative Traits
• Mutation, selection, and ancestry in branching models: a variational approach
• Fluctuation Relations of Fitness and Information in Population Dynamics
• Hierarchy and extremes in selections from pools of randomized proteins
• Linking lineage and population observables in biological branching processes
• Fluctuation relations and fitness landscapes of growing cell populations
• Limiting fitness distributions in evolutionary dynamics
• Phase transitions in optimal strategies for betting

Cited by in corpus (4)

• Analytical cell size distribution: lineage-population bias and parameter inference
• Limits on the Evolutionary Rates of Biological Traits
• Cell lineage statistics with incomplete population trees
• Diagrammatic expressions for steady-state distribution and static responses in population dynamics