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Epidemiological modeling of online social network dynamics (1401.4208v1)

Published 17 Jan 2014 in cs.SI and physics.soc-ph

Abstract: The last decade has seen the rise of immense online social networks (OSNs) such as MySpace and Facebook. In this paper we use epidemiological models to explain user adoption and abandonment of OSNs, where adoption is analogous to infection and abandonment is analogous to recovery. We modify the traditional SIR model of disease spread by incorporating infectious recovery dynamics such that contact between a recovered and infected member of the population is required for recovery. The proposed infectious recovery SIR model (irSIR model) is validated using publicly available Google search query data for "MySpace" as a case study of an OSN that has exhibited both adoption and abandonment phases. The irSIR model is then applied to search query data for "Facebook," which is just beginning to show the onset of an abandonment phase. Extrapolating the best fit model into the future predicts a rapid decline in Facebook activity in the next few years.

Citations (119)

Summary

  • The paper introduces the infectious recovery SIR (irSIR) model that captures user abandonment as a social contagion process, achieving a 75% SSE reduction over traditional models.
  • It leverages Google Trends data from MySpace and Facebook to proxy real-time user activity, validating the model’s predictive accuracy.
  • The approach provides strategic insights for forecasting digital declines, with implications for OSN providers and industries dependent on network dynamics.

Epidemiological Models for User Dynamics in Online Social Networks

The paper presents a novel approach to modeling the adoption and abandonment dynamics of online social networks (OSNs) by utilizing epidemiological models traditionally applied to disease spread. Specifically, it introduces the infectious recovery SIR model (irSIR), an adaptation of the classical SIR model, to better align with the unique aspects of OSN dynamics. The researchers use Google search query data as a proxy for usership to fit the proposed model to the observed trends of OSNs, with a detailed analysis of MySpace and Facebook as case studies.

Approach and Methodology

The traditional SIR model involves three compartments: Susceptible (S), Infected (I), and Recovered (R). For OSNs, these analogs are potential users, active users, and individuals opposed to joining or returning to the network, respectively. The paper argues that the classical model's assumption of a constant recovery rate is ill-suited for OSNs, where user abandonment, akin to recovery, is influenced by peer behavior. To accommodate this, the irSIR model allows for infectious recovery dynamics; a user's abandonment probability increases when peers also abandon the network.

The analysis leverages Google Trends data for search terms "MySpace" and "Facebook" as proxies for real-time OSN user activity. This method capitalizes on the accessibility and timely nature of search query data to bypass the difficulties associated with obtaining proprietary OSN usage data.

Key Findings

The application of the irSIR model to MySpace data demonstrates significantly improved fit over the traditional SIR model, evidenced by a 75% reduction in the sum of squared error (SSE). This improvement underscores the role of infectious recovery in user abandonment dynamics, distinctly evident during the lifecycle of MySpace, which peaked in popularity between 2007 and 2008 before declining.

The irSIR model's application to Facebook data yields predictions that indicate a decline post-2012, corroborated by reports of declining engagement from younger demographics. The fitted model suggests Facebook could see a significant reduction in activity, predicting it may drop to 20% of its peak activity by 2015. Comparisons with prediction bounds account for variability, indicating the most rapid decline is statistically less likely, skewing predictions towards gradual decline scenarios.

Implications

This model highlights the applicability of epidemiological frameworks beyond biological outbreaks, adapted here for digital behavior prediction. The irSIR model offers a theoretical tool for stakeholders to anticipate shifts in OSN dynamics, providing economic and strategic insights for network providers and related industries. It suggests that inherent abandonment processes in OSNs could resemble social contagion, much like infectious diseases.

The robustness of the irSIR model emphasizes its potential utility in modeling various technological adoption scenarios. However, it also carries limitations from relying on Google Trends data, primarily due to potential artifacts or shifts unrelated to user behavior (e.g., changes in Google's algorithms).

Future Prospects

The irSIR model could be further refined by incorporating additional variables such as external market factors or cross-platform influences. The adaptability of this model suggests a broader application across other digital domains where user interest and engagement play critical roles. Future research could focus on enhancing model precision and exploring predictive capabilities across different technological contexts and platforms to substantiate the applicability and accuracy of epidemiological analogues in digital behaviors.

Overall, this paper extends epidemiological modeling into the domain of social network analytics, offering a rigorous framework for interpreting and predicting OSN adoption and abandonment trends through the innovative lens of infectious disease dynamics.

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