Correcting the fiber-aperture bias affecting galaxy stellar populations in the Sloan Digital Sky Survey. Aperture corrections to absorption indices based on CALIFA integral field observations

Abstract: Stellar population properties are crucial for understanding galaxy evolution. Their inference for statistically representative samples requires deep multi-object spectroscopy, typically obtained with fiber-fed spectrographs that integrate only a fraction of galaxy light. The most comprehensive local Universe dataset is the Sloan Digital Sky Survey (SDSS), whose fibers typically collected ~30% of total flux. Stellar population gradients, ubiquitously present in galaxies, systematically bias SDSS toward central properties, by amounts yet to be quantified. We leverage CALIFA integral-field spectroscopy to simulate fiber-fed observations at redshifts z=0.005-0.4, accounting for seeing effects. We analyze systematic aperture correction trends across galaxy morphologies and derive correction recipes based on: fiber-measured indices, global g-r color, absolute r-band magnitude Mr, and physical half-light radius R50. Corrections for absorption indices typically reach >~15% of their dynamical range at z~0.02, decreasing to ~7% at z~0.1 (median SDSS redshift) and becoming negligible above z~0.2. Spiral galaxies exhibit the largest aperture effects due to their strong internal gradients. Our correction recipes, applied to the SDSS-DR7 dataset, significantly reduce scatter in stellar population diagnostic planes and enhance bimodality in age-sensitive diagrams. Corrections reveal systematic overestimates of old galaxy fractions by up to 10% and an underestimate by >~0.2 mag of the transition luminosity at which old galaxies become dominant. Aperture corrections significantly impact observational tracers of stellar populations from fiber spectroscopy. Absorption indices corrections applied to SDSS-DR7 will provide a robust local benchmark for galaxy evolution studies.