Notes. In all the models, the Galactic contribution consists of two components: the first component which is produced by regular supernova explosions in the Galaxy (SNR-CRs), and the second component which is considered to be produced either by cosmic-ray re-acceleration by Galactic wind termination shocks (GW-CRs) or by explosions of Wolf-Rayet stars in the Galaxy (WR-CRs). The source spectral indices for the second Galactic component in all the models are assumed to be the same as for the SNR-CRs (see Table 1). For the extra-galactic component, the different models considered are: (a) sources with strong cosmological evolution like strong radio galaxies (EG-RSB93); (b) extra-galactic contribution mainly above the ankle irrespective of the nature of the sources (EG-Minimal); (c) significant photo-disintigration of cosmic-rays in a source region with high photon density (EG-UFA); and (d) cosmic rays accelerated by accretion shocks in clusters of galaxies (EG-PCS). The all-particle spectra predicted by the different combinations of the Galactic and extra-galactic components are quite similar, and show good agreement with the measured spectrum. On the other hand, although the ⟨ lnA ⟩ predicted by the different models are almost within the range of the different measurements compiled by Kampert & Unger (2012), they show distinctive differences especially in the energy range between the second knee and the ankle. For the model using GW-CRs, the predicted ⟨ lnA ⟩ also show deviation from the prediction of other models between ~ 10⁷ and 10⁸ GeV. The comments on ⟨ lnA ⟩ given in the table are with respect to the measurements from TUNKA (Berezhnev et al. 2013), LOFAR (Buitink et al. 2016), Yakutsk (Knurenko & Sabourov 2010), and the Pierre Auger Observatory (Porcelli et al. 2015) between the second knee and the ankle. QGSJET in the table refers to the QGSJET-II-04 model.