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The metallicity enrichment history (MEH) of a galaxy is determined by itsstar formation history (SFH) and the gas cycling process. In this paper, weconstruct a chemical evolution model that is regulated by the SFH of thesystem. In this SFH-regulated model, the evolution of all other variables,including the MEH, can be determined by the SFH. We test this model on sixlocally isolated dwarf galaxies covering three dwarf types that were observedby the Local Cosmology from Isolated Dwarfs (LCID) project. The SFHs and MEHsof these LCID galaxies have been measured from the deep color-magnitudediagrams that are down to the main sequence turn-offs stars. With simpleassumptions of the star formation law and the mass-dependent outflows, ourSFH-regulated model successfully reproduces the MEHs of all six LCID galaxiesfrom their SFHs, with only one free parameter, the wind efficiency $\eta \sim1.0$, for all six galaxies. This model provides a physically motivated linkthat directly connects the SFH and MEH of a galaxy, which will be useful toaccommodate into the state-of-the-art stellar population synthesis models tohelp relieve the nuisance of the heavy degeneracy between the ages andmetallicities of the stellar populations.

Linking the Metallicity Enrichment History to the Star Formation  History: An SFH-regulated Chemical Evolution Model and Its Implications for  the Gas Cycling Process