We develop an approach for fitting the results of modeling of wriggling radial large scale iron pattern along the Galactic disk, derived over young (high massive) Cepheids, with the metallicity distribution, obtained using low mass long living dwarf stars in the close solar vicinity. For this, at the step of computing of the theoretical abundance distribution over low mass stars in the solar vicinity we propose to redefine the initial mass function so as the resulting theoretical stellar distribution over masses would be close to the distribution in the observed sample. By means of the above algorithm and subsequent corrections of the theoretical metallicity distribution function, described in literature, we have achieved fairly well agreement of the theoretical and observed metallicity distribution functions for low mass stars in the local solar vicinity.
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