Results for the 1/V_max LF estimator, computed from mock catalogues assuming a constant density profile Ω_M = 0.27 (ΛCDM), and the underdense profiles of Eq. (15) for the GBH void models (Fig. 1). Source luminosities in the mock catalogues are drawn from the Schechter LF (here shown by a green dashed line, with parameters L^∗ = 10¹¹  L_⊙, ϕ^∗ = 10^-3 dex^-1 Mpc^-3, and α = −1/2). Flux limits and SED are taken from the results of Gruppioni et al. (2013) for the PEP survey dataset in the GOODS-S field.