For two-state environments and two-state phenotypes, a normalized fitness measure and mutual information are shown to be monotonically equivalent when the marginal distributions are fixed, with diminishing returns per bit.
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Information and fitness in two-state systems: self-replicating individuals in a fluctuating environment
For two-state environments and two-state phenotypes, a normalized fitness measure and mutual information are shown to be monotonically equivalent when the marginal distributions are fixed, with diminishing returns per bit.