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The Effect of User Features on Churn in Social Networks<br />

Jeffrey Chan, Conor Hayes, Marcel Karnstedt<br />

Digital Enterprise Research Institute (DERI)<br />

<strong>NUI</strong> <strong>Galway</strong>, Ireland<br />

Email: firstname.lastname@deri.org<br />

Social sites and services rely on the continuing activity,<br />

good will and behaviour of the contributors to remain<br />

viable. There has been little empirical study of the mechanisms<br />

by which social sites maintain a viable user base.<br />

Such studies would provide a scientific understanding of<br />

the patterns that lead to user churn and the community<br />

dynamics that are associated with reduction of community<br />

members <strong>–</strong> primary threats to the sustainability of<br />

any service. By churn we refer to the loss of users, as<br />

one indicator for decreasing community value, implicitly<br />

encoding the idea that a user no longer finds a service<br />

useful or valuable and has moved elsewhere. In this paper<br />

we explore the relation between a user’s value within a<br />

community - constituted from various user features - and<br />

the probability of a user churning.<br />

In studies of churn behaviour of customers of telcom<br />

networks, a user’s probability of churning has been linked<br />

to the churning behaviour of neighbours in his/her social<br />

network. This has recently also been observed in online social<br />

networks [1]. These effects are illustrated in Figure 1,<br />

showing an individual’s probability to churn in relation<br />

to the number k of his neighbours that already churned.<br />

In absence of explicit friendship links in forum data, an<br />

intuitive network of influence can be based on reply-to<br />

relations between users. Each of the reply graphs represents<br />

different definitions of who is considered as a neighbour.<br />

probability to churn<br />

1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

out ≥ 2 posts<br />

bid. ≥ 2 posts<br />

out ≥ 5 posts<br />

bid. ≥ 5 posts<br />

0<br />

0 5 10 15 20 25<br />

number k of churning neighbours<br />

Figure 1. Network effects on the probability to churn<br />

in an online discussion forum. Four different reply<br />

graphs represents different definitions of influence.<br />

The labels with out refer to influence being based<br />

on uni-directional communications, while bid. refers<br />

to influence being based on bidirectional communications.<br />

The numbers (>= 2 and >= 5) represent two<br />

levels of influence based on volume of communications.<br />

87<br />

Harith Alani, Matthew Rowe<br />

Knowledge Media Institute (KMI)<br />

The Open University, Milton Keynes, UK<br />

Email: {h.alani, m.c.rowe}@open.ac.uk<br />

In this paper, we examine relationships between user<br />

value and churn. Definitions of user value [2] refer to a<br />

collection of user features. The following are examples of<br />

user features that we have identified from the literature that<br />

contribute to user value:<br />

• Structural and Social Network Features: in-degree and<br />

out-degree exponents, centrality and betweeness<br />

• Reciprocity Features: average reply time to posts<br />

• Persistence/productivity Features: average post per<br />

thread and frequency of posting<br />

• Popularity Features: number of in-neighbours, the<br />

percentage of replies to posts<br />

• Sentiment Features: average polarity of posts<br />

Building on our previous work [1], we explore the correlation<br />

between the above features and churn probability<br />

and influence, identifying key indicators of churn within<br />

a community. For our experiments over a year’s worth of<br />

data, we profile contributors in an online bulletin board<br />

by extracting the above salient behavioural and structural<br />

features, which are used to describe user value. Our<br />

approach employs time-series analysis, identifying links<br />

between certain user value features and their evolution<br />

with time, and the probability of an individual leaving<br />

the community. Our hypothesis is that users which display<br />

different behavioural, content and structural characteristics<br />

in the underlying social network will tend to have different<br />

influence on churn. By this we identify features of contributors<br />

that are implicitly recognised by other users as<br />

contributing to the value of the community. This provides<br />

an important contribution to the analysis of the relationship<br />

between user value, user churn and community value in<br />

general. It produces an understanding of the behavioural<br />

patterns associated with the loss of community members,<br />

eventually enabling community hosts to identify, early-on,<br />

that users may leave the community.<br />

References<br />

[1] M. Karnstedt, T. Hennessy, J. Chan, P. Basuchowdhuri, C. Hayes,<br />

and T. Strufe, “Churn in social networks,” in Handbook of Social<br />

Network Technologies and Applications, B. Furht, Ed. Springer<br />

Verlag, 2010, pp. 185<strong>–</strong>220.<br />

[2] J. J. Phillips, “Human capital measurement: A challenge for the clo,”<br />

Clo Media, Tech. Rep., 2003.

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