期刊
NATURE HUMAN BEHAVIOUR
卷 3, 期 8, 页码 837-846出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/s41562-019-0638-y
关键词
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资金
- Air Force Office of Scientific Research [FA9550-15-1-0162, FA9550-17-1-0089]
- Northwestern University's Data Science Initiative
- National Science Foundation [SBE 1829344, IBSS-L-1620294]
- Convergence Grant from the College of Arts & Sciences, University of Miami
Diffusion processes are central to human interactions. One common prediction of the current modelling frameworks is that initial spreading dynamics follow exponential growth. Here we find that, for subjects ranging from mobile handsets to automobiles and from smartphone apps to scientific fields, early growth patterns follow a power law with non-integer exponents. We test the hypothesis that mechanisms specific to substitution dynamics may play a role, by analysing unique data tracing 3.6 million individuals substituting different mobile handsets. We uncover three generic ingredients governing substitutions, allowing us to develop a minimal substitution model, which not only explains the power-law growth, but also collapses diverse growth trajectories of individual constituents into a single curve. These results offer a mechanistic understanding of power-law early growth patterns emerging from various domains and demonstrate that substitution dynamics are governed by robust self-organizing principles that go beyond the particulars of individual systems.
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