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We present a generalised version of the semi-analytic Just-Jahreiss (JJ)model of the Galactic disk that incorporates our findings for the solarneighbourhood and is applicable to a wide range of galactocentric distances, 4kpc $\lesssim R \lesssim $ 14 kpc. The JJ model is a flexible tool for stellarpopulation synthesis with a fine age resolution of 25 Myr. It includes sixMilky-Way (MW) components: the four flattened (exponential thin and thick disk,atomic and molecular gas) and two spheroidal (spherical stellar halo and acored isothermal dark matter sphere). The overall thin-disk thickness isassumed to be constant at all radii, though flaring can also be tested. Theadopted radial variation in the thin-disk star-formation rate (SFR) reflectsthe inside-out disk growth scenario. We allow a smooth power-law SFR continuumto be modified by an arbitrary number of Gaussian peaks. We present a publiccode of the JJ model complemented by the three sets of isochrones (PARSEC,MIST, and BaSTI). Using metallicity distributions of the red clump giants fromAPOGEE, we constrain the radial variation of the JJ-model age-metallicityrelation (AMR) and propose a new analytic form for the AMR function. Thegeneralised JJ model is a publicly available tool for studying differentstellar populations across the MW disk. With its fine age resolution andflexibility, it can be particularly useful for reconstructing the thin-diskSFR, as a variety of different SFR shapes can be constructed within itsframework.

Towards a fully consistent Milky Way disk model V. The disk model for 4 $-$ 14 kpc