Top: power density spectrum of the star KIC 9882316, with superimposed mode identification provided by the red giant oscillation universal pattern. Dashed (dotted) lines indicates the position of the peaks a priori (a posteriori) identified as ℓ = 1 mixed modes. P-m modes are located close to the positions marked by 1. Bottom: period spacings ΔP = 1/ν_nm,1 − 1/ν_nm + 1,1 between adjacent mixed modes, as a function of the frequency. The full line and small filled diamonds correspond to the convolution model defined by Eqs. (4) and (5); the g-mode spacing ΔΠ₁ is indicated by the dotted horizontal line; the dashed line indicates the observed spacing, ΔP_obs, which is affected by the mode bumping, measured with the method presented by Mosser et al. (2011a). The large diamonds show the spacing between two observed consecutive modes; full symbols, near the dashed line, correspond to the measurements derived from the modes a priori identified as ℓ = 1 mixed modes; open symbols, just below the dotted line, are obtained from the peaks identified a posteriori as mixed modes.