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.