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Modelling song popularity as a contagious process
Dora P Rosati1,2,3, Matthew H Woolhouse2,3, Benjamin M Bolker1,4
1Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1.
Popular song downloads follow infectious disease patterns, suggesting epidemic models can explain music's spread. This research uses the susceptible-infectious-recovered (SIR) model to analyze song popularity and transmission dynamics.
Area of Science:
- Epidemiology
- Musicology
- Computational Social Science
Background:
- Popular songs are often described as 'viral' or 'contagious'.
- The spread of song preferences shares similarities with the transmission of infectious diseases.
- Understanding the mechanisms behind song popularity is crucial in the music industry.
Purpose of the Study:
- To investigate whether infectious disease transmission models can explain the spread of song preferences.
- To compare the effectiveness of the susceptible-infectious-recovered (SIR) epidemic model with a phenomenological spline model in fitting song download data.
- To explore genre-specific differences in song popularity dynamics.
Main Methods:
- Analysis of song download data from MixRadio (Great Britain, 2007-2014).
- Comparison of the standard susceptible-infectious-recovered (SIR) model against a spline model for fitting download time series.
- Fitting both models to simulated epidemic time series generated by the SIR model.
Main Results:
- The susceptible-infectious-recovered (SIR) model provided a better fit to song download time series compared to the spline model.
- The SIR model's superior performance in fitting song downloads mirrored its performance in fitting simulated epidemic data.
- Estimated SIR parameters suggested faster preference spread for Electronica music, potentially due to a more connected 'susceptible community'.
Conclusions:
- The social processes driving song popularity are analogous to infectious disease transmission.
- Epidemic models like SIR offer valuable insights into the dynamics of music consumption and viral trends.
- Genre-specific analysis using SIR parameters reveals distinct patterns in music preference spread.
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