Universal constraints on selection strength in lineage trees

  title={Universal constraints on selection strength in lineage trees},
  author={Arthur Genthon and D. Lacoste},
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… Expand

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