Example for the solution of Eq. (4) as a radial profile where we present the contribution of the corrections for incompleteness and clustering of the stacked galaxies. We show here the results for the third bin of the stacking as a function of L_FUV in the 250 μm band (10.80 < log(L_FUV[L_⊙]) > 11.1, LBG-L3; see Table 1). We obtain the parameters of the fit: α = 0.99 ± 0.26, β = 0.46 ± 0.16, and γ = −0.12 ± 0.08. The black dashed line is the profile of the stacked LBGs population inside of the L_FUV bin. The red line corresponds to the profile of the stacked LBGs population inside of the L_FUV bin corrected for the incompleteness of the input catalogue, I (θ,φ). The green dashed line is the contribution for the clustering of the input catalogue, β × w(θ, φ) ∗ PSF(θ, φ). The blue line corresponds to the sum of the real emission of the object, α × PSF(θ , φ); the contribution for the clustering of the input catalogue, β × w(θ, φ) ∗ PSF(θ, φ); and the background, γ. The blue region shows the uncertainty of the results using bootstrap resampling. This plot is only a 1D illustration for the solution of Eq. (4), but we have solved it in 2D to obtain the stacked images for this work.