This study views web forums as virtual living organisms that grow based on user clicks, analyzing how page views (PV) and unique visitors (UV) follow the law of allometric growth. The relationship between PV and UV is given by PV ∝ UV^β. The study constructs clickstream networks to explain the temporal dynamics through interactions between nodes, using the function T_i = I_i - E_i, where T_i is the total clickstreams through node i, and E_i is the clickstreams dissipated from i. It is found that β, an efficiency indicator of network dissipation, negatively correlates with β and bounds it such that β < 1 when PV > UV and β > 1 when PV < UV. These findings have practical applications, such as using β to measure the "stickiness" of forums and predict long-term user engagement from short-term clickstream data. A random walk model replicates both the allometric growth and the dissipation function.
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Wu, Lingfei, Jiang Zhang, and Min Zhao. "The metabolism and growth of web forums." PloS one 9.8 (2014): e102646.
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