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. 2019 Aug 21;6(8):190944. doi: 10.1098/rsos.190944

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© 2019 The Authors.

Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

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Figure 4. — Coefficients of the lifetime distribution fits. The time evolution of the fit parameters a (left panel) and b (right panel) for the top 40 album lifetimes (circles), which correspond to the number of weeks n_w an album is listed among the top 40. The lifetime distribution has been fitted by exp (−a ln(n_w) −b ln²(n_w)), as illustrated in figure 3 for the Billboard charts. This functional form corresponds to a log-normal distribution for b > 0 and to a power law for b → 0. The data are for trailing 5-year periods. Over time, the lifetime distribution becomes more power law-like, with the exponent a approaching the marginal value a → 2. For the German music charts, the trend is less clear. The lines are guides to the eye.