Properties in the Y₅₀₀− λ (top panels) and Y₅₀₀-L₅₀₀ (bottom panels) planes for the Planck-redMaPPer sample at z< 0.2. Under-luminous candidates are denoted with cyan circles in the scatter plots to the left, which also show the best fit relation and the dispersion ± 2σ_tot. The circled red point is a cluster with contaminated Y signal. The right plots show the histograms of orthogonal deviation Δ_⊥ for each relation.