Using ab initio calculations on 108 atoms pure- and Ge-doped (2.8 mol%) silica-based supercells, we performed a statistical study on the electronic structure and energetic contribution of neutral oxygen vacancies, also named Oxygen Deficient Centers (ODCs). All the 72 oxygen sites in the amorphous silica (a-SiO2) cell were considered as possible candidates for the formation of the vacancies leading to study 72 different Si-ODCs ('Si\Si' bond) and 144 Ge-ODCs ('Ge\Si' bond). The distributions of structural parameters and formation energies of the ODCs were evaluated through Density Functional Theory calculations. The obtained parameters showed a wide distribution that can be mainly associated with the differences in the local environments surrounding the point defects. Weshow that the formation energies of Si and Ge-ODCs generated from the same oxygen site of our supercell are correlated. Moreover, the local asymmetry around the Si\Ge or Ge\Si bond can also affect their formation energies, providing a strong evidence for the influence of short-range environment on the ODC generation efficiency.