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This is the fourth paper of our new release of the BaSTI (a Bag of StellarTracks and Isochrones) stellar model and isochrone library. Following theupdated solar-scaled, alpha-enhanced, and white dwarf model libraries, wepresent here alpha-depleted ([alpha/Fe] = -0.2) evolutionary tracks andisochrones, suitable to study the alpha-depleted stars discovered in LocalGroup dwarf galaxies and in the Milky Way. These calculations include allimprovements and updates of the solar-scaled and alpha-enhanced models, andspan a mass range between 0.1 and 15 Msun, 21 metallicities between [Fe/H] =-3.20 and +0.45 with a helium-to-metal enrichment ratio dY/dZ = 1.31,homogeneous with the solar-scaled and alpha-enhanced models. The isochrones --available in several photometric filters -- cover an age range between 20 Myrand 14.5 Gyr, including the pre-main-sequence phase. We have compared ourisochrones with independent calculations of alpha-depleted stellar models,available for the same alpha-element depletion adopted in presentinvestigation. We have also discussed the effect of an alpha-depleted heavyelement distribution on the bolometric corrections in different wavelengthregimes. Our alpha-depleted evolutionary tracks and isochrones are publiclyavailable at the BaSTI website.

The updated BaSTI stellar evolution models and isochrones.IV. alpha-depleted calculations