A Multiple Burst Accretion Model to Describe the Metallicity Distributions and Stellar Mass-Metallicity Relation for Local Dwarf Galaxies

A one parameter model to describe the individual metallicity distributions and stellar mass-metallicity relation for dwarf galaxies is presented. This multiple-burst model is based on an accretion scenario, accomodates the observational constraint between $\overline{z}$ and $\sigma_{z}^{2}$ recently established by Leaman (2012), and predicts a slope consistent with the stellar mass-metallicity relation of Kirby et al (2013) who showed that the local group dwarf spheroidal and dwarf irregular galaxies lie on the same relation. One interpretation of the model is that it describes star formation occuring either in gas rich mergers or at the intersection of colliding gas streams.