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Steady-state thermodynamics (SST) is a relatively newly emerging subfield ofphysics, which deals with transitions between steady states. In this paper, wefind an SST-like structure in population dynamics of organisms that can sensetheir fluctuating environments. As heat is divided into two parts in SST, wedecompose population growth into two parts: housekeeping growth and excessgrowth. Then, we derive the Clausius equality and inequality for excess growth.Using numerical simulations, we demonstrate how the Clausius inequality behavesdepending on the magnitude of noise and strategies that organisms employ.Finally, we discuss the novelty of our findings and compare them with aprevious study.

Steady-state thermodynamics for population dynamics in fluctuating environments with side information