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In this paper, we reveal a general relationship between model simplificationand irreversibility based on the model of continuous-time Markov chains withtime-scale separation. According to the topological structure of the fastprocess, we divide the states of the chain into the transient states and therecurrent states. We show that a two-time-scale chain can be simplified to areduced chain in two different ways: removal of the transient states andaggregation of the recurrent states. Both the two operations will lead to adecrease in the entropy production rate and its adiabatic part and will keepits non-adiabatic part the same. This suggests that although modelsimplification can retain almost all the dynamic information of the chain, itwill lose some thermodynamic information as a trade-off.

Model simplification and loss of irreversibility