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Transcript of Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute,...
![Page 1: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/1.jpg)
Clustering and spreading of behavior and opinion in social networksLazaros GallosLevich Institute, City College of New York
Hernan A. Makse - Shlomo Havlin
![Page 2: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/2.jpg)
Clustering and spreading of behavior in social networksLazaros GallosLevich Institute, City College of New York
Hernan A. Makse - Shlomo Havlin
![Page 3: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/3.jpg)
Obesity epidemic (?)
![Page 4: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/4.jpg)
BMI and obesity
The Body Mass Index (BMI) is a standard measure of human body fat
BMI>30 is generally accepted as the obesity threshold
![Page 5: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/5.jpg)
Obesity in USA increases with time
![Page 6: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/6.jpg)
What we know on obesity ‘spreading’
1. Genetics2. Peer pressure
(Christakis and Fowler, NEJM, 2007)3. Spatial clustering
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Our approach
• The physics of clustering is challenging
• Study obesity as a percolation process
• Use scaling analysis
• More properties
![Page 8: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/8.jpg)
Obesity prevalence in USA
![Page 9: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/9.jpg)
Percolation transition
![Page 10: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/10.jpg)
Time evolution of obesity clusters
County obesity %
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Largest clusters
County obesity %
![Page 12: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/12.jpg)
Neighbors influence
(after Christakis, Fowler)
![Page 13: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/13.jpg)
Distance-based correlations
![Page 14: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/14.jpg)
The increase rate is also correlated
![Page 15: Clustering and spreading of behavior and opinion in social networks Lazaros Gallos Levich Institute, City College of New York Hernan A. Makse - Shlomo.](https://reader038.fdocuments.in/reader038/viewer/2022110400/56649da75503460f94a9313d/html5/thumbnails/15.jpg)
Spatial correlations:
Scaling theory of Growth
• Standard theory of Gibrat assumes random
growth
• Scaling concepts introduced by the H.E. Stanley
group
(Stanley, Nature, 1996) for the growth of
companies
• Extended to more properties (e.g. cities)
Growth rate:
𝛽=𝛾2𝑑
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Limits
𝛽=𝛾2𝑑
High correlations: No correlations:
b =0, g =0 b =0.5 , g=2 (in 2d)
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Spatial correlations (constant in time)
g =0.5Obesity
g =1.0Population
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Digestive cancer mortality(Changes with time)
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Time evolution of g
Weak correlations
Strong correlations
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Phase diagram
Uncorrelated
Random walk
Human activity
Economy
City growth
Population
Mortality
Cancer mortality
Obesity
Diabetes
Inactivity
Lung cancer
g /d11/21/4
Weak
correlationsStrong
correlations
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Conclusions
• Strong spatial correlations in obesity spreading
• Obesity clusters grow faster than the population growth
• Scaling analysis quantifies the degree of spatial correlations
• Exponents are related
Three main universality classes based on spatial correlations