{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T14:40:57Z","timestamp":1778769657645,"version":"3.51.4"},"reference-count":51,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,5,10]],"date-time":"2016-05-10T00:00:00Z","timestamp":1462838400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2016,5,10]],"date-time":"2016-05-10T00:00:00Z","timestamp":1462838400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100002241","name":"Japan Science and Technology Agency","doi-asserted-by":"publisher","award":["ERATO, Kawarabayashi Large Graph Project"],"award-info":[{"award-number":["ERATO, Kawarabayashi Large Graph Project"]}],"id":[{"id":"10.13039\/501100002241","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["25280111"],"award-info":[{"award-number":["25280111"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002241","name":"Japan Science and Technology Agency","doi-asserted-by":"publisher","award":["CREST"],"award-info":[{"award-number":["CREST"]}],"id":[{"id":"10.13039\/501100002241","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soc. Netw. Anal. Min."],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1007\/s13278-016-0334-0","type":"journal-article","created":{"date-parts":[[2016,5,10]],"date-time":"2016-05-10T12:28:03Z","timestamp":1462883283000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":39,"title":["Reply trees in Twitter: data analysis and branching process models"],"prefix":"10.1007","volume":"6","author":[{"given":"Ryosuke","family":"Nishi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Taro","family":"Takaguchi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Keigo","family":"Oka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takanori","family":"Maehara","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Masashi","family":"Toyoda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ken-ichi","family":"Kawarabayashi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Naoki","family":"Masuda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,5,10]]},"reference":[{"key":"334_CR1","doi-asserted-by":"crossref","unstructured":"Bakshy E, Hofman JM, Mason WA, Watts DJ (2011) Everyone\u2019s an influencer: quantifying influence on twitter. In: Proceedings of the 4th ACM international conference on web search and data mining (WSDM \u201911). ACM press, New York, pp 65\u201374","DOI":"10.1145\/1935826.1935845"},{"issue":"1","key":"334_CR2","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1140\/epjds18","volume":"2","author":"RA Ban\u00f5s","year":"2013","unstructured":"Ban\u00f5s RA, Borge-Holthoefer J, Moreno Y (2013) The role of hidden influentials in the diffusion of online information cascades. EPJ Data Sci 2(1):6","journal-title":"EPJ Data Sci"},{"issue":"5","key":"334_CR3","doi-asserted-by":"publisher","first-page":"388","DOI":"10.1016\/j.jocs.2012.05.001","volume":"3","author":"CA Bliss","year":"2012","unstructured":"Bliss CA, Kloumann IM, Harris KD, Danforth CM, Dodds PS (2012) Twitter reciprocal reply networks exhibit assortativity with respect to happiness. J Comput Sci 3(5):388\u2013397","journal-title":"J Comput Sci"},{"issue":"1","key":"334_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jocs.2010.12.007","volume":"2","author":"J Bollen","year":"2011","unstructured":"Bollen J, Mao H, Zeng X (2011) Twitter mood predicts the stock market. J Comput Sci 2(1):1\u20138","journal-title":"J Comput Sci"},{"issue":"7415","key":"334_CR5","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1038\/nature11421","volume":"489","author":"RM Bond","year":"2012","unstructured":"Bond RM, Fariss CJ, Jones JJ, Kramer ADI, Marlow C, Settle JE, Fowler JH (2012) A 61-million-person experiment in social influence and political mobilization. Nature 489(7415):295\u2013298","journal-title":"Nature"},{"key":"334_CR6","doi-asserted-by":"crossref","unstructured":"Cha M, Mislove A, Gummadi KP (2009) A measurement-driven analysis of information propagation in the Flickr social network. In: Proceedings of the 18th international conference on world wide web (WWW \u201909). ACM press, New York, pp 721\u2013730","DOI":"10.1145\/1526709.1526806"},{"key":"334_CR7","doi-asserted-by":"crossref","unstructured":"Cha M, Haddadi H, Benevenuto F, Gummadi KP (2010) Measuring user influence in Twitter: the million follower fallacy. In: Proceedings of the 4th international AAAI conference on weblogs and social media (ICWSM \u201910). AAAI Press, Palo Alto, pp 10\u201317","DOI":"10.1609\/icwsm.v4i1.14033"},{"key":"334_CR8","unstructured":"Cheng J, Adamic LA, Dow PA, Kleinberg J, Leskovec J (2014) Can cascades be predicted? In: Proceedings of the 23rd international conference on world wide web (WWW \u201914). ACM Press, New York, pp 925\u2013935"},{"key":"334_CR9","doi-asserted-by":"crossref","unstructured":"Cogan P, Andrews M, Bradonjic M, Kennedy WS, Sala A, Tucci G (2012) Reconstruction and analysis of Twitter conversation graphs. In: Proceedings of the 1st ACM international workshop on hot topics on interdisciplinary social networks research (HotSocial \u201912). ACM Press, New York, pp 25\u201331","DOI":"10.1145\/2392622.2392626"},{"issue":"3","key":"334_CR10","doi-asserted-by":"publisher","first-page":"e55957","DOI":"10.1371\/journal.pone.0055957","volume":"8","author":"MD Conover","year":"2013","unstructured":"Conover MD, Davis C, Ferrara E, McKelvey K, Menczer F, Flammini A (2013) The geospatial characteristics of a social movement communication network. PLoS One 8(3):e55957","journal-title":"PLoS One"},{"issue":"12","key":"334_CR11","doi-asserted-by":"publisher","first-page":"e26752","DOI":"10.1371\/journal.pone.0026752","volume":"6","author":"PS Dodds","year":"2011","unstructured":"Dodds PS, Harris KD, Kloumann IM, Bliss CA, Danforth CM (2011) Temporal patterns of happiness and information in a global social network: hedonometrics and twitter. PLoS One 6(12):e26752","journal-title":"PLoS One"},{"key":"334_CR12","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511761942","volume-title":"Networks, crowds, and markets: reasoning about a highly connected world","author":"D Easley","year":"2010","unstructured":"Easley D, Kleinberg J (2010) Networks, crowds, and markets: reasoning about a highly connected world. Cambridge University Press, Cambridge"},{"issue":"13","key":"334_CR13","doi-asserted-by":"publisher","first-page":"138701","DOI":"10.1103\/PhysRevLett.99.138701","volume":"99","author":"S Fortunato","year":"2007","unstructured":"Fortunato S, Castellano C (2007) Scaling and universality in proportional elections. Phys Rev Lett 99(13):138701","journal-title":"Phys Rev Lett"},{"key":"334_CR14","volume-title":"Statistics of financial markets: an introduction","author":"J Franke","year":"2008","unstructured":"Franke J, H\u00e4rdle WK, Hafner CM (2008) Statistics of financial markets: an introduction, 2nd edn. Springer, Berlin","edition":"2"},{"key":"334_CR15","volume-title":"The tipping point: how little things can make a big difference","author":"M Gladwell","year":"2000","unstructured":"Gladwell M (2000) The tipping point: how little things can make a big difference. Little, Brown and Company, New York"},{"issue":"4","key":"334_CR16","doi-asserted-by":"publisher","first-page":"046117","DOI":"10.1103\/PhysRevE.77.046117","volume":"77","author":"JP Gleeson","year":"2008","unstructured":"Gleeson JP (2008) Cascades on correlated and modular random networks. Phys Rev E 77(4):046117","journal-title":"Phys Rev E"},{"issue":"4","key":"334_CR17","doi-asserted-by":"publisher","first-page":"048701","DOI":"10.1103\/PhysRevLett.112.048701","volume":"112","author":"JP Gleeson","year":"2014","unstructured":"Gleeson JP, Ward JA, O\u2019Sullivan KP, Lee WT (2014) Competition-induced criticality in a model of meme popularity. Phys Rev Lett 112(4):048701","journal-title":"Phys Rev Lett"},{"issue":"24","key":"334_CR18","doi-asserted-by":"publisher","first-page":"10833","DOI":"10.1073\/pnas.1000814107","volume":"107","author":"B Golub","year":"2010","unstructured":"Golub B, Jackson MO (2010) Using selection bias to explain the observed structure of Internet diffusions. Proc Natl Acad Sci USA 107(24):10833\u201310836","journal-title":"Proc Natl Acad Sci USA"},{"key":"334_CR19","doi-asserted-by":"crossref","unstructured":"G\u00f3mez V, Kaltenbrunner A, L\u00f3pez V (2008) Statistical analysis of the social network and discussion threads in Slashdot. In: Proceedings of the 17th international conference on world wide web (WWW \u201908). ACM Press, New York, pp 645\u2013654","DOI":"10.1145\/1367497.1367585"},{"key":"334_CR20","doi-asserted-by":"crossref","unstructured":"G\u00f3mez V, Kappen HJ, Kaltenbrunner A (2011) Modeling the structure and evolution of discussion cascades. In: Proceedings of the 22nd ACM conference on Hypertext and hypermedia (HT \u201911). ACM Press, New York, pp 181\u2013190","DOI":"10.1145\/1995966.1995992"},{"issue":"5\u20136","key":"334_CR21","doi-asserted-by":"publisher","first-page":"645","DOI":"10.1007\/s11280-012-0162-8","volume":"16","author":"V G\u00f3mez","year":"2013","unstructured":"G\u00f3mez V, Kappen HJ, Litvak N, Kaltenbrunner A (2013) A likelihood-based framework for the analysis of discussion threads. World Wide Web 16(5\u20136):645\u2013675","journal-title":"World Wide Web"},{"issue":"8","key":"334_CR22","doi-asserted-by":"publisher","first-page":"e22656","DOI":"10.1371\/journal.pone.0022656","volume":"6","author":"B Gon\u00e7alves","year":"2011","unstructured":"Gon\u00e7alves B, Perra N, Vespignani A (2011) Modeling users\u2019 activity on Twitter networks: validation of Dunbar\u2019s number. PLoS One 6(8):e22656","journal-title":"PLoS One"},{"key":"334_CR23","doi-asserted-by":"crossref","unstructured":"G\u00f6tz M, Leskovec J, McGlohon M, Faloutsos C (2009) Modeling blog dynamics. In: Proceedings of the 3rd international AAAI conference on weblogs and social media (ICWSM \u201909). AAAI Press, Palo Alto, pp 26\u201333","DOI":"10.1609\/icwsm.v3i1.13941"},{"key":"334_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-51866-9","volume-title":"The theory of branching processes","author":"TE Harris","year":"1963","unstructured":"Harris TE (1963) The theory of branching processes. Springer, Berlin"},{"issue":"3","key":"334_CR25","doi-asserted-by":"publisher","first-page":"038702","DOI":"10.1103\/PhysRevLett.103.038702","volume":"103","author":"JL Iribarren","year":"2009","unstructured":"Iribarren JL, Moro E (2009) Impact of human activity patterns on the dynamics of information diffusion. Phys Rev Lett 103(3):038702","journal-title":"Phys Rev Lett"},{"issue":"4","key":"334_CR26","doi-asserted-by":"publisher","first-page":"046116","DOI":"10.1103\/PhysRevE.84.046116","volume":"84","author":"JL Iribarren","year":"2011","unstructured":"Iribarren JL, Moro E (2011) Branching dynamics of viral information spreading. Phys Rev E 84(4):046116","journal-title":"Phys Rev E"},{"issue":"1","key":"334_CR27","first-page":"011041","volume":"4","author":"H-H Jo","year":"2014","unstructured":"Jo H-H, Perotti JI, Kaski K, Kert\u00e9sz J (2014) Analytically solvable model of spreading dynamics with non-Poissonian processes. Phys Rev X 4(1):011041","journal-title":"Phys Rev X"},{"key":"334_CR28","doi-asserted-by":"publisher","DOI":"10.1007\/b97371","volume-title":"Branching processes in biology","author":"M Kimmel","year":"2002","unstructured":"Kimmel M, Axelrod DE (2002) Branching processes in biology. Springer, New York"},{"key":"334_CR29","doi-asserted-by":"crossref","unstructured":"Kumar R, Mahdian M, McGlohon M (2010) Dynamics of conversations. In: Proceedings of the 16th ACM SIGKDD international conference on knowledge discovery and data mining (KDD \u201910). ACM Press, New York, pp 553\u2013562","DOI":"10.1145\/1835804.1835875"},{"key":"334_CR30","unstructured":"Kwak H, Lee C, Park H, Moon S (2010) What is Twitter, a social network or a news media? In: Proceedings of the 19th international conference on world wide web (WWW \u201910). ACM Press, New York, pp 591\u2013600"},{"key":"334_CR31","doi-asserted-by":"crossref","unstructured":"Leskovec J, Singh A, Kleinberg J (2006) Patterns of influence in a recommendation network. In: Advances in knowledge discovery and data mining, Springer, Berlin. Lecture notes in computer science, vol 3918, pp 380\u2013389","DOI":"10.1007\/11731139_44"},{"issue":"1","key":"334_CR32","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1145\/1232722.1232727","volume":"1","author":"J Leskovec","year":"2007","unstructured":"Leskovec J, Adamic LA, Huberman BA (2007) The dynamics of viral marketing. ACM Trans Web 1(1):5","journal-title":"ACM Trans Web"},{"key":"334_CR33","doi-asserted-by":"crossref","unstructured":"Leskovec J, McGlohon M, Faloutsos C, Glance N, Hurst M (2007) Patterns of cascading behavior in large blog graphs. In: Proceedings of the 7th SIAM international conference on data mining (SDM \u201907), SIAM, pp 551\u2013556","DOI":"10.1137\/1.9781611972771.60"},{"key":"334_CR34","doi-asserted-by":"crossref","unstructured":"Li H, Liu J, Xu K, Wen S (2012) Understanding video propagation in online social networks. In: Proceedings of IEEE 20th international workshop on quality of service (IWQoS), IEEE, pp 1\u20139","DOI":"10.1109\/IWQoS.2012.6245972"},{"issue":"12","key":"334_CR35","doi-asserted-by":"publisher","first-page":"4633","DOI":"10.1073\/pnas.0708471105","volume":"105","author":"D Liben-Nowell","year":"2008","unstructured":"Liben-Nowell D, Kleinberg J (2008) Tracing information flow on a global scale using Internet chain-letter data. Proc Natl Acad Sci USA 105(12):4633\u20134638","journal-title":"Proc Natl Acad Sci USA"},{"key":"334_CR36","first-page":"1375","volume":"5","author":"G Lotan","year":"2011","unstructured":"Lotan G, Graeff E, Ananny M, Gaffney D, Pearce I, Boyd D (2011) The revolutions were tweeted: information flows during the 2011 Tunisian and Egyptian revolutions. Int J Commun 5:1375\u20131405","journal-title":"Int J Commun"},{"issue":"4","key":"334_CR37","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1016\/j.socnet.2003.10.001","volume":"25","author":"WS Lovejoy","year":"2003","unstructured":"Lovejoy WS, Loch CH (2003) Minimal and maximal characteristic path lengths in connected sociomatrices. Soc Netw 25(4):333\u2013347","journal-title":"Soc Netw"},{"key":"334_CR38","unstructured":"McGlohon M, Leskovec J, Faloutsos C, Hurst M, Glance N (2007) Finding patterns in blog shapes and blog evolution. In: Proceedings of the international AAAI conference on weblogs and social media (ICWSM \u201907). AAAI Press, Palo Alto"},{"issue":"1","key":"334_CR39","doi-asserted-by":"publisher","first-page":"238","DOI":"10.1214\/aoap\/1034968073","volume":"6","author":"P Olofsson","year":"1996","unstructured":"Olofsson P (1996) Branching processes with local dependencies. Ann Appl Probab 6(1):238\u2013268","journal-title":"Ann Appl Probab"},{"key":"334_CR40","volume-title":"Handbook of heavy tailed distributions in finance, handbooks in finance","year":"2003","unstructured":"Rachev ST (ed) (2003) Handbook of heavy tailed distributions in finance, handbooks in finance, vol 1. Elsevier Science B. V., Amsterdam"},{"key":"334_CR41","doi-asserted-by":"publisher","first-page":"P02019","DOI":"10.1088\/1742-5468\/2014\/02\/P02019","volume":"2014","author":"M Raschke","year":"2014","unstructured":"Raschke M, Schl\u00e4pfer M, Trantopoulos K (2014) Copula-based modeling of degree-correlated networks. J Stat Mech 2014:P02019","journal-title":"J Stat Mech"},{"key":"334_CR42","volume-title":"Diffusion of innovations","author":"EM Rogers","year":"2003","unstructured":"Rogers EM (2003) Diffusion of innovations, 5th edn. Free Press, New York","edition":"5"},{"issue":"1","key":"334_CR43","doi-asserted-by":"publisher","first-page":"012805","DOI":"10.1103\/PhysRevE.87.012805","volume":"87","author":"Y Sano","year":"2013","unstructured":"Sano Y, Yamada K, Watanabe H, Takayasu H, Takayasu M (2013) Empirical analysis of collective human behavior for extraordinary events in the blogosphere. Phys Rev E 87(1):012805","journal-title":"Phys Rev E"},{"issue":"4","key":"334_CR44","doi-asserted-by":"publisher","first-page":"e61823","DOI":"10.1371\/journal.pone.0061823","volume":"8","author":"K Sasahara","year":"2013","unstructured":"Sasahara K, Hirata Y, Toyoda M, Kitsuregawa M, Aihara K (2013) Quantifying collective attention from tweet stream. PLoS One 8(4):e61823","journal-title":"PLoS One"},{"key":"334_CR45","doi-asserted-by":"crossref","unstructured":"Sousa D, Sarmento L, Rodrigues EM (2010) Characterization of the twitter @replies network: are user ties social or topical? In: Proceedings of the 2nd international workshop on search and mining user-generated contents (SMUC \u201910), ACM Press, New York, pp 63\u201370","DOI":"10.1145\/1871985.1871996"},{"key":"334_CR46","doi-asserted-by":"crossref","unstructured":"Sun E, Rosenn I, Marlow CA, Lento TM (2009) Gesundheit! Modeling contagion through Facebook news feed. In: Proceedings of the 3rd international AAAI conference on weblogs and social media (ICWSM \u201909), AAAI Press, Palo Alto, pp 146\u2013153","DOI":"10.1609\/icwsm.v3i1.13947"},{"issue":"5","key":"334_CR47","doi-asserted-by":"publisher","first-page":"e64841","DOI":"10.1371\/journal.pone.0064841","volume":"8","author":"M Thelwall","year":"2013","unstructured":"Thelwall M, Haustein S, Larivi\u00e9re V, Sugimoto CR (2013) Do altmetrics work? Twitter and ten other social web services. PLoS One 8(5):e64841","journal-title":"PLoS One"},{"issue":"15","key":"334_CR48","doi-asserted-by":"publisher","first-page":"158702","DOI":"10.1103\/PhysRevLett.98.158702","volume":"98","author":"A Vazquez","year":"2007","unstructured":"Vazquez A, R\u00e1cz B, Luk\u00e1cs A, Barab\u00e1si A-L (2007) Impact of non-Poissonian activity patterns on spreading processes. Phys Rev Lett 98(15):158702","journal-title":"Phys Rev Lett"},{"key":"334_CR49","doi-asserted-by":"crossref","unstructured":"Wang D, Wen Z, Tong H, Lin C-Y, Song C, Barab\u00e1si A-L (2011) Information spreading in context. In: Proceedings of the 20th international conference on world wide web (WWW \u201911). ACM Press, New York, pp 735\u2013744","DOI":"10.1145\/1963405.1963508"},{"key":"334_CR50","doi-asserted-by":"crossref","unstructured":"Wang C, Ye M, Huberman BA (2012) From user comments to on-line conversations. In: Proceedings of the 18th ACM SIGKDD international conference on knowledge discovery and data mining (KDD \u201912). ACM Press, New York, pp 244\u2013252","DOI":"10.1145\/2339530.2339573"},{"key":"334_CR51","doi-asserted-by":"crossref","unstructured":"Weng J, Lim E, Jiang J, He Q (2010) TwitterRank: finding topic-sensitive influential twitterers. In: Proceedings of the 3rd ACM international conference on web search and data mining (WSDM \u201910). ACM Press, New York, pp 261\u2013270","DOI":"10.1145\/1718487.1718520"}],"container-title":["Social Network Analysis and Mining"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13278-016-0334-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13278-016-0334-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13278-016-0334-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13278-016-0334-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,18]],"date-time":"2023-08-18T04:45:51Z","timestamp":1692333951000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13278-016-0334-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,5,10]]},"references-count":51,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,12]]}},"alternative-id":["334"],"URL":"https:\/\/doi.org\/10.1007\/s13278-016-0334-0","relation":{},"ISSN":["1869-5450","1869-5469"],"issn-type":[{"value":"1869-5450","type":"print"},{"value":"1869-5469","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,5,10]]},"assertion":[{"value":"29 June 2015","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 April 2016","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 April 2016","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 May 2016","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"26"}}