通过记忆、更替和可预测性描绘公告牌热门歌曲的生命周期
Charting the life of Billboard hits through memory, turnover, and predictability
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中文总结 AI 辅助
利用公告牌歌曲和专辑榜数据，研究歌曲和专辑成功的出现、持续及差异，发现专辑持久度分布重尾、重新上榜频繁，歌曲连续上榜长，连续榜单相似度歌曲衰减快，揭示排名变动不确定性及典型路径，表明音乐榜单是动态记忆系统。
中文摘要 AI 辅助
排名塑造了文化产品的知名度和成功，但在同一领域内比较不同排名对象时，其时间动态仍未得到充分探索。本文利用近七十年的公告牌百强单曲榜歌曲和六十年的公告牌二百强专辑榜数据，研究成功如何在歌曲和专辑之间出现、持续以及存在差异。我们发现专辑的持久度分布更重尾，比歌曲更频繁地重新进入榜单，而歌曲通常有更长的连续上榜时间。连续榜单之间的相似度，歌曲比专辑衰减得更快，表明单曲反映的集体关注持续时间更短，而专辑保留的文化记忆更长。排名动荡差异表明连续榜单相似，但榜首位置更多地由排名洗牌而非更替主导。基于熵的分析揭示了排名变动中的高不确定性，歌曲和专辑有不同的历史模式且强烈依赖轨迹长度。轨迹聚类表明榜单成功被组织成少数典型路径，包括典型的兴衰轨迹、高端持久和单调下降。这些结果共同表明音乐榜单不仅是流行度记录，更是动态记忆系统，其中注意力、更替和可预测性在歌曲和专辑中以不同方式相互作用。
英文摘要
Rankings shape the visibility and success of cultural products, yet their temporal dynamics remain underexplored when comparing distinct ranked objects within the same domain. Here, we use nearly seven decades of Billboard Hot 100 songs and six decades of Billboard 200 albums to investigate how success emerges, persists, and differs between songs and albums. We find that albums exhibit a heavier-tailed permanence distribution and reenter the charts more often than songs, whereas songs typically have longer uninterrupted runs. Similarity between successive charts decays much faster for songs than for albums, suggesting that individual hits reflect shorter-lived collective attention, while albums retain longer cultural memory. Rank-turbulence divergence shows that consecutive charts are similar, but that top positions are dominated more by rank reshuffling than by turnover. Entropy-based analyses reveal high uncertainty in rank movements, with distinct historical patterns for songs and albums and a strong dependence on trajectory length. Clustering of trajectories shows that chart success is organized into a small number of typical pathways, including canonical rise-and-fall trajectories, high-end persistence, and monotonic decline. Together, these results show that musical charts are not merely records of popularity, but dynamic memory systems in which attention, turnover, and predictability interact differently for songs and albums.
