Selective advantage of irreversible and reversible phenotypic plasticity

A recent model on phenotypic plasticity is extended so that reversible and irreversible plasticity can be compared. It is assumed that the plastic organism receives an environmental cue that induces a change of the phenotype. Complete and incomplete information are treated as two extreme cases of the reliability of those cues. Relative fitness is calculated depending on the difference between inducing and non-inducing states of the environment and its coefficient of variation, on the time pattern and on the relative length of the inducing environment. In addition, fitness of reversible plasticity depends on the time delays for changing the phenotype from non-induced to induced and back. Irreversible plasticity can successfully compete with reversible plasticity only if at least one of these time delays becomes large, irrespective of the reliability of environmental cues. For either complete or incomplete information, there are parameter regions in which irreversibility is advantageous.