Entangling Mobility and Interactions in Social Media
Publication Date
March 20, 2014
Journal
PLOS ONE
Authors
Przemyslaw A. Grabowicz, José J. Ramasco, Bruno Gonçalves & Víctor M. Eguíluz
Volume
9
Issue
3
Pages
e92196
DOI
https://dx.plos.org/10.1371/journal.pone.0092196
Publisher URL
http://journals.plos.org/plosone/article?id=10.1371%2Fjournal.pone.0092196
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/24651657
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3961345
Europe PMC
http://europepmc.org/abstract/MED/24651657
Web of Science
000333352800083
Scopus
84921997857
Mendeley
http://www.mendeley.com/research/entangling-mobility-interactions-social-media
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Mendeley | Further Information

{"title"=>"Entangling mobility and interactions in social media", "type"=>"journal", "authors"=>[{"first_name"=>"Przemyslaw A.", "last_name"=>"Grabowicz", "scopus_author_id"=>"54892005400"}, {"first_name"=>"José J.", "last_name"=>"Ramasco", "scopus_author_id"=>"6603056876"}, {"first_name"=>"Bruno", "last_name"=>"Gonçalves", "scopus_author_id"=>"55392410900"}, {"first_name"=>"Víctor M.", "last_name"=>"Eguíluz", "scopus_author_id"=>"6603824902"}], "year"=>2014, "source"=>"PLoS ONE", "identifiers"=>{"sgr"=>"84921997857", "doi"=>"10.1371/journal.pone.0092196", "pui"=>"373809307", "pmid"=>"24651657", "scopus"=>"2-s2.0-84921997857", "issn"=>"19326203", "isbn"=>"10.1371/journal.pone.0092196", "arxiv"=>"1307.5304"}, "id"=>"4ba28095-7693-3395-8ec4-416568af5ad1", "abstract"=>"Daily interactions naturally define social circles. Individuals tend to be friends with the people they spend time with and they choose to spend time with their friends, inextricably entangling physical location and social relationships. As a result, it is possible to predict not only someone's location from their friends' locations but also friendship from spatial and temporal co-occurrence. While several models have been developed to separately describe mobility and the evolution of social networks, there is a lack of studies coupling social interactions and mobility. In this work, we introduce a new model that bridges this gap by explicitly considering the feedback of mobility on the formation of social ties. Data coming from three online social networks (Twitter, Gowalla and Brightkite) is used for validation. Our model reproduces various topological and physical properties of these networks such as: i) the size of the connected components, ii) the distance distribution between connected users, iii) the dependence of the reciprocity on the distance, iv) the variation of the social overlap and the clustering with the distance. Besides numerical simulations, a mean-field approach is also used to study analytically the main statistical features of the networks generated by the model. The robustness of the results to changes in the model parameters is explored, finding that a balance between friend visits and long-range random connections is essential to reproduce the geographical features of the empirical networks.", "link"=>"http://www.mendeley.com/research/entangling-mobility-interactions-social-media", "reader_count"=>84, "reader_count_by_academic_status"=>{"Professor > Associate Professor"=>2, "Librarian"=>2, "Student > Doctoral Student"=>3, "Researcher"=>12, "Student > Ph. D. Student"=>30, "Student > Postgraduate"=>5, "Student > Master"=>9, "Other"=>6, "Student > Bachelor"=>9, "Lecturer"=>1, "Professor"=>5}, "reader_count_by_user_role"=>{"Professor > Associate Professor"=>2, "Librarian"=>2, "Student > Doctoral Student"=>3, "Researcher"=>12, "Student > Ph. D. Student"=>30, "Student > Postgraduate"=>5, "Student > Master"=>9, "Other"=>6, "Student > Bachelor"=>9, "Lecturer"=>1, "Professor"=>5}, "reader_count_by_subject_area"=>{"Unspecified"=>3, "Agricultural and Biological Sciences"=>1, "Arts and Humanities"=>1, "Business, Management and Accounting"=>4, "Chemistry"=>1, "Computer Science"=>28, "Earth and Planetary Sciences"=>2, "Economics, Econometrics and Finance"=>1, "Engineering"=>4, "Environmental Science"=>2, "Mathematics"=>4, "Medicine and Dentistry"=>2, "Design"=>1, "Physics and Astronomy"=>14, "Psychology"=>5, "Social Sciences"=>11}, "reader_count_by_subdiscipline"=>{"Medicine and Dentistry"=>{"Medicine and Dentistry"=>2}, "Social Sciences"=>{"Social Sciences"=>11}, "Physics and Astronomy"=>{"Physics and Astronomy"=>14}, "Psychology"=>{"Psychology"=>5}, "Mathematics"=>{"Mathematics"=>4}, "Unspecified"=>{"Unspecified"=>3}, "Environmental Science"=>{"Environmental Science"=>2}, "Arts and Humanities"=>{"Arts and Humanities"=>1}, "Design"=>{"Design"=>1}, "Engineering"=>{"Engineering"=>4}, "Chemistry"=>{"Chemistry"=>1}, "Earth and Planetary Sciences"=>{"Earth and Planetary Sciences"=>2}, "Economics, Econometrics and Finance"=>{"Economics, Econometrics and Finance"=>1}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>1}, "Computer Science"=>{"Computer Science"=>28}, "Business, Management and Accounting"=>{"Business, Management and Accounting"=>4}}, "reader_count_by_country"=>{"United States"=>5, "Sri Lanka"=>1, "Taiwan"=>1, "Italy"=>1, "Malaysia"=>1, "France"=>1, "Germany"=>2, "Spain"=>3}, "group_count"=>5}

Scopus | Further Information

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/1428790"], "description"=>"<p>The central node is the filled red circle and its neighbors are marked in blue. Directionality of links is neglected in this schematic to maintain simplicity.</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems", "tf"], "article_id"=>968902, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g001"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Schematic_of_the_TF_model_/968902", "title"=>"Schematic of the TF model.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428791"], "description"=>"<p>Various statistical network properties are plotted for the data obtained from Twitter (red squares), Gowalla (blue diamonds), Brightkite (green triangles) and the null models (dashed lines), for the US (for the UK and Germany, see <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.s001\" target=\"_blank\">Figures S1</a> and <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.s002\" target=\"_blank\">S2</a>). The spatial model (magenta), based on geography, matches well the data in , but yields near-zero values for , and . The linking model (cyan), based on triadic closure, produces enough clustering, but it does not reproduce the distance dependencies of , , and .</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems", "geo-social"], "article_id"=>968903, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g002"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Network_geo_social_properties_/968903", "title"=>"Network geo-social properties.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428792"], "description"=>"<p>Values of the error Err when <i>p</i><sub>v</sub> and are changed. The minimum error for each of the plots is marked with a red rectangle.</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems", "tf"], "article_id"=>968904, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g003"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Fitting_the_TF_model_/968904", "title"=>"Fitting the TF model.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428793"], "description"=>"<p>Mobility (upper row) and ego networks (lower row) of 20 random users (different colors) for the instances of the TF model yielding the lowest error Err (see <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone-0092196-g003\" target=\"_blank\">Figure 3</a>). Mobility network shows mobility patterns of individual users throughout entire simulation. Ego network shows the social connections at the end of the simulation.</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems", "mobility"], "article_id"=>968905, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g004"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulation_results_mobility_and_social_networks_/968905", "title"=>"Simulation results: mobility and social networks.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428794"], "description"=>"<p>Various statistical properties are plotted for the networks obtained from Twitter data (red squares) and from simulation of the TF model (black line) for the US. Corresponding results for the UK and Germany can be found in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.s003\" target=\"_blank\">Figures S3</a> and <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.s004\" target=\"_blank\">S4</a>.</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems"], "article_id"=>968906, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g005"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Geo_social_properties_of_the_model_networks_/968906", "title"=>"Geo-social properties of the model networks.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428795"], "description"=>"<p>The minimal values of the error Err for the TF model, the two null models: spatial (S model) or linking (L model), and the TF model with normally or uniformly distributed travel distances.</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems"], "article_id"=>968907, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g006"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Comparison_of_different_models_/968907", "title"=>"Comparison of different models.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428796"], "description"=>"<p>We change the value of <i>p</i><sub>v</sub> while keeping fixed to the optimal value. Note that this corresponds to an exploration of the parameter space along the vertical line crossing the minimum of Err as plotted in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone-0092196-g003\" target=\"_blank\">Figure 3</a> for the US. Corresponding results for the UK and Germany can be found in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.s005\" target=\"_blank\">Figures S5</a> and <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.s006\" target=\"_blank\">S6</a>.</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems", "tf"], "article_id"=>968908, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g007"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Impact_of_p_v_on_the_TF_model_/968908", "title"=>"Impact of <i>p</i><sub>v</sub> on the TF model.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428797"], "description"=>"<p>We change the value of while keeping <i>p</i><sub>v</sub> fixed to its optimal value. Note that this corresponds to an exploration of the parameter space along the horizontal line crossing the minimum of Err as plotted in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone-0092196-g003\" target=\"_blank\">Figure 3</a> for the US. Corresponding results for the UK and Germany can be found in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.s007\" target=\"_blank\">Figure S7</a> and <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.s008\" target=\"_blank\">S8</a>.</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems", "tf"], "article_id"=>968909, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g008"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Impact_of_on_the_TF_model_/968909", "title"=>"Impact of on the TF model.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428798"], "description"=>"<p>Predictions of the analysis versus results of the simulation of the L model for the clustering coefficient <i>C</i>, the reciprocity <i>R</i> and the degree distribution . In this case, we are taking the users from the UK and Germany because their lower numbers facilitate the numerical integration of the <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.e107\" target=\"_blank\">Equations 6</a>, <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.e118\" target=\"_blank\">8</a>, <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.e119\" target=\"_blank\">9</a>, <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.e129\" target=\"_blank\">11</a> and <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0092196#pone.0092196.e133\" target=\"_blank\">12</a>.</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems"], "article_id"=>968910, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.g009"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Mean_field_approximation_/968910", "title"=>"Mean-field approximation.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428799"], "description"=>"<p>Number of users (nodes) <i>N</i> and of links <i>L</i> of the networks obtained from the different geo-localized datasets for the United States (US), the United Kingdom (UK) and Germany (DE).</p>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems"], "article_id"=>968911, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.t001"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Datasets_/968911", "title"=>"Datasets.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2014-03-20 03:52:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/1428801", "https://ndownloader.figshare.com/files/1428802", "https://ndownloader.figshare.com/files/1428803", "https://ndownloader.figshare.com/files/1428804", "https://ndownloader.figshare.com/files/1428805", "https://ndownloader.figshare.com/files/1428806", "https://ndownloader.figshare.com/files/1428807", "https://ndownloader.figshare.com/files/1428808", "https://ndownloader.figshare.com/files/1428809", "https://ndownloader.figshare.com/files/1428810"], "description"=>"<div><p>Daily interactions naturally define social circles. Individuals tend to be friends with the people they spend time with and they choose to spend time with their friends, inextricably entangling physical location and social relationships. As a result, it is possible to predict not only someone’s location from their friends’ locations but also friendship from spatial and temporal co-occurrence. While several models have been developed to separately describe mobility and the evolution of social networks, there is a lack of studies coupling social interactions and mobility. In this work, we introduce a model that bridges this gap by explicitly considering the feedback of mobility on the formation of social ties. Data coming from three online social networks (Twitter, Gowalla and Brightkite) is used for validation. Our model reproduces various topological and physical properties of the networks not captured by models uncoupling mobility and social interactions such as: i) the total size of the connected components, ii) the distance distribution between connected users, iii) the dependence of the reciprocity on the distance, iv) the variation of the social overlap and the clustering with the distance. Besides numerical simulations, a mean-field approach is also used to study analytically the main statistical features of the networks generated by a simplified version of our model. The robustness of the results to changes in the model parameters is explored, finding that a balance between friend visits and long-range random connections is essential to reproduce the geographical features of the empirical networks.</p></div>", "links"=>[], "tags"=>["Network Analysis", "social networks", "Systems science", "Complex systems", "mathematics", "Applied mathematics", "calculus", "Differential Equations", "physics", "Interdisciplinary physics", "anthropology", "Social anthropology", "Sociology", "Computational sociology", "Social mobility", "Social systems", "mobility", "interactions"], "article_id"=>968913, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Przemyslaw A. Grabowicz", "José J. Ramasco", "Bruno Gonçalves", "Victor M. Eguiluz"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0092196.s001", "https://dx.doi.org/10.1371/journal.pone.0092196.s002", "https://dx.doi.org/10.1371/journal.pone.0092196.s003", "https://dx.doi.org/10.1371/journal.pone.0092196.s004", "https://dx.doi.org/10.1371/journal.pone.0092196.s005", "https://dx.doi.org/10.1371/journal.pone.0092196.s006", "https://dx.doi.org/10.1371/journal.pone.0092196.s007", "https://dx.doi.org/10.1371/journal.pone.0092196.s008", "https://dx.doi.org/10.1371/journal.pone.0092196.s009", "https://dx.doi.org/10.1371/journal.pone.0092196.s010"], "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Entangling_Mobility_and_Interactions_in_Social_Media_/968913", "title"=>"Entangling Mobility and Interactions in Social Media", "pos_in_sequence"=>0, "defined_type"=>4, "published_date"=>"2014-03-20 03:52:16"}

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