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We test the performance of the semi-analytic self-consistent Just-Jahrei{\ss}disc model (JJ model) with the astrometric data from the Tycho-Gaia AstrometricSolution (TGAS) sub-catalogue of the first Gaia data release (Gaia DR1), aswell as the radial velocities from the fifth data release of the RadialVelocity Experiment survey (RAVE DR5). We use a sample of 19,746 thin discstars from the TGAS$\times$RAVE cross-match selected in the local solarcylinder of 300 pc radius and 1 kpc height below the Galactic plane andsimulate this sample via the forward modelling technique. First, we convert thepredicted vertical density laws of the thin disc populations into a mocksample. Then the obtained mock populations are reddened with a 3D dust map andare subjected to the selection criteria corresponding to the RAVE and TGASobservational limitations as well as to additional cuts applied to the datasample. We calculate the quantities of interest separately at different heightsabove the Galactic plane taking into account the distance error effectsseparately in horizontal and vertical directions. We investigate the simulatedsample in terms of the vertical number density profiles, Hess diagrams andvelocity distribution functions. Basing on a good agreement of our simulationswith the data, we conclude that our fiducial disc model confidently reproducesthe vertical trends in the thin disc stellar population properties. Thus, itcan serve as a starting point for the future extension of the JJ model to otherGalactocentric distances.

Local disc model in view of Gaia DR1 and RAVE data