Before revision:  The upper bound is related to recent generalizations of linear response relations in Stochastic Thermodynamics, and is reminiscent of the fundamental theorem of Natural selectionof R. Fisher and of its generalization by Price  .
After revision:  The upper bound is related to recent generalizations of linear response relations in Stochastic Thermodynamics, and is reminiscent of the fundamental theorem of natural selection, and with its generalization by Price .