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Empirical study on spatiotemporal evolution of online public opinion

Gong Kai Tang Ming Shang Ming-Sheng Zhou Tao

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Empirical study on spatiotemporal evolution of online public opinion

Gong Kai, Tang Ming, Shang Ming-Sheng, Zhou Tao
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  • To understand the spatiotemporal evolution of online public opinion and reveal its formation mechanism, we investigate the data from several popular online comments by means of statistical physics. Although the empirical results show that the heterogeneity of concerns exists in different areas, which follows a double power law, an obvious consistency of such concerns occurs during the evolution of online public opinion. Through correlation analysis, we reveal that the regional population and economy may have a significant influence on the concern about the event, and find that the consistency of concerns in different areas derives from the strong correlations among regions. On the other hand, the public opinion guide can significantly affect the concern about the event, and lead to the rapid increase of propagation velocity. By calculating the information entropy of propagation velocity, we find that the geographical distribution of online comments is relatively stable in most time, and the public opinion guide may help to maintain this consistency. Furthermore, the correlation analysis shows that the more developed areas tend to be more synchronized, which suggests the responses of these areas to the public opinion guide may be faster. Therefore, enhancing the guide of public opinion in developed areas can help our government to control the spread of the online public opinion.
    • Funds: Project supported by the Major Research Plan of the National Natural Science Foundation of China(Grant Nos. 90924011, 91024026), and the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11105025).
    [1]

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    [2]

    Zhou T,Wang B H, Han X P, Shang M S 2010 Jour. Syst. Eng. 25 742 (in Chinese)[周涛, 汪秉宏, 韩筱璞, 尚明生2010系统工程学报25 742]

    [3]

    Moreno Y, Nekovee M, Pacheco A F 2004 Phys. Rev. E 69 066130

    [4]

    Eubank S, Guclu H, Kumar V S A, Marthe M V, Srinivasan A, Toroczkai Z,Wang N 2004 Nature 429 180

    [5]

    Liu J Z, Wu J S, Yang Z R 2004 Physica A 341 273

    [6]

    Zheng D F, Hui PM, Trimper S, Zheng B 2005 Physica A 352 659

    [7]

    Sznajd W K, Sznajd J 2000 Int. J. Mod. Phys. C 11 1157

    [8]

    Deffuant G, Neau D, Amblard F, Weisbuch G 2000 Adv. Compl. Sys. 3 87

    [9]

    Galam S 2008 Int. J. Mod. Phys. C 19 409

    [10]

    H Kesten, V Sidoravicius 2005 Annals Prob 33 2402

    [11]

    Zhou J, Liu Z H, Li B 2007 Phys. Lett. A 368 458

    [12]

    Pan Z F, Wang X F, Li X 2006 Jornal of System Simulation 18 2346 (in Chinese)[潘灶烽, 汪小帆, 李翔2006系统仿真学报18 2346]

    [13]

    He M H, Zhang D M, Wang H Y, Li X G 2010 Acta Phys. Sin. 59 5175 (in Chinese)[何敏华, 张端明, 王海艳, 李小刚, 方频捷2010 59 5175]

    [14]

    Zhang L, Liu Y 2008 Journal of Beijing Jiaotong University. 2 67 (in Chinese)[张力, 刘云2008北京交通大学学报2 67]

    [15]

    Ye Z L, Wang X Q, Wang X L, Li J 2010 Complex Systems and Complexity Science 1 (in Chinese)[叶作亮, 王雪乔, 王仙玲, 李静2010复杂系统与复杂性科学 01 (in Chinese)]

    [16]

    Zhou T, Liu J G, Bai W J, Chen G R, Wang B H 2006 Phys. Rev. E 74 056109

    [17]

    Barrett C, Eubank S, Marathe MV 2005 Modeling and simulation of large biological, information and socio-technical systems: an interaction based approach (Springer Verlag)

    [18]

    Crepey P, Barth′elemy M 2007 Am. J. Epidemiol. 166 1244

    [19]

    Ferguson N M, Cummings D A, Cauchemez S, Fraser C, Riley S, Meeyai A, Iamsirithaworn S, Burke D S 2005 Nature 437 209

    [20]

    Tang M, Liu L, Liu Z H, 2009 Phys. Rev. E 79 016108

    [21]

    Tang M, Liu Z H, Li B W 2009 Europhys. Lett. 87 18005

    [22]

    Zipf G K 1949 Human Behavior and the Principle of Least Effort (Addison-Wesley)

    [23]

    Zipf G K 1968 The Psycho-Biology of Language: An Introduction to Dynamic Psychology (Addison-Wesky)

    [24]

    Cattuto C, Loreto V, Pietronero L 2007 PNAS 104 1461

    [25]

    L¨u L Y, Zhang Z K, Zhou T 2010 PLoS One 5 e14139

    [26]

    Blasius B, Tonjes R 2009 Phys. Rev. Lett. 103 218701

    [27]

    Shao J, Lvanov P C, UrosevicUroˇsevi′c, Stanley H E, Podobnik B 2011 Europhys. Lett. 84 48001

    [28]

    Liu H K, Zhou T 2007 Acta Phys. Sin. 56 106 (in Chinese)[刘宏鲲, 周涛2007 56 1 06]

    [29]

    Reed W J 2003 Physica A 319 469

    [30]

    Reed W J, Jorgensen M 2004 Stats-Theory & Methods 33 1733

    [31]

    Han X P, Wang B H, Zhou C S, Zhou T, Zhu J F 2009 e-print arXiv. 0912.1390

    [32]

    Kendall M 1938 Biometrika 30 81

    [33]

    Shannon C E 1951 Bell Systems Technical Journal 30 50

    [34]

    Thomas M C 2006 Elements of Information Theory (Wiley)

    [35]

    Colizza V, Barrat A, Barthelemy M, Vespignani A 2006 PNAS 103 2015

    [36]

    Li M J, Wu Y, Liu W Q, Xiao J H 2009 Acta. Phys. Sin. 58 8 (in Chinese)[李明杰, 昊晔, 刘维清, 肖井华2009 58 8]

    [37]

    Xiong F, Liu Y, Si X M, Ding F 2010 Acta. Phys. Sin. 59 10 (in Chinese)[熊菲, 刘云, 司夏萌, 丁飞2010 59 10]

  • [1]

    Castellano C, Fortunato S, Loreto V 2009 Rev. Mod. Phys. 81 591

    [2]

    Zhou T,Wang B H, Han X P, Shang M S 2010 Jour. Syst. Eng. 25 742 (in Chinese)[周涛, 汪秉宏, 韩筱璞, 尚明生2010系统工程学报25 742]

    [3]

    Moreno Y, Nekovee M, Pacheco A F 2004 Phys. Rev. E 69 066130

    [4]

    Eubank S, Guclu H, Kumar V S A, Marthe M V, Srinivasan A, Toroczkai Z,Wang N 2004 Nature 429 180

    [5]

    Liu J Z, Wu J S, Yang Z R 2004 Physica A 341 273

    [6]

    Zheng D F, Hui PM, Trimper S, Zheng B 2005 Physica A 352 659

    [7]

    Sznajd W K, Sznajd J 2000 Int. J. Mod. Phys. C 11 1157

    [8]

    Deffuant G, Neau D, Amblard F, Weisbuch G 2000 Adv. Compl. Sys. 3 87

    [9]

    Galam S 2008 Int. J. Mod. Phys. C 19 409

    [10]

    H Kesten, V Sidoravicius 2005 Annals Prob 33 2402

    [11]

    Zhou J, Liu Z H, Li B 2007 Phys. Lett. A 368 458

    [12]

    Pan Z F, Wang X F, Li X 2006 Jornal of System Simulation 18 2346 (in Chinese)[潘灶烽, 汪小帆, 李翔2006系统仿真学报18 2346]

    [13]

    He M H, Zhang D M, Wang H Y, Li X G 2010 Acta Phys. Sin. 59 5175 (in Chinese)[何敏华, 张端明, 王海艳, 李小刚, 方频捷2010 59 5175]

    [14]

    Zhang L, Liu Y 2008 Journal of Beijing Jiaotong University. 2 67 (in Chinese)[张力, 刘云2008北京交通大学学报2 67]

    [15]

    Ye Z L, Wang X Q, Wang X L, Li J 2010 Complex Systems and Complexity Science 1 (in Chinese)[叶作亮, 王雪乔, 王仙玲, 李静2010复杂系统与复杂性科学 01 (in Chinese)]

    [16]

    Zhou T, Liu J G, Bai W J, Chen G R, Wang B H 2006 Phys. Rev. E 74 056109

    [17]

    Barrett C, Eubank S, Marathe MV 2005 Modeling and simulation of large biological, information and socio-technical systems: an interaction based approach (Springer Verlag)

    [18]

    Crepey P, Barth′elemy M 2007 Am. J. Epidemiol. 166 1244

    [19]

    Ferguson N M, Cummings D A, Cauchemez S, Fraser C, Riley S, Meeyai A, Iamsirithaworn S, Burke D S 2005 Nature 437 209

    [20]

    Tang M, Liu L, Liu Z H, 2009 Phys. Rev. E 79 016108

    [21]

    Tang M, Liu Z H, Li B W 2009 Europhys. Lett. 87 18005

    [22]

    Zipf G K 1949 Human Behavior and the Principle of Least Effort (Addison-Wesley)

    [23]

    Zipf G K 1968 The Psycho-Biology of Language: An Introduction to Dynamic Psychology (Addison-Wesky)

    [24]

    Cattuto C, Loreto V, Pietronero L 2007 PNAS 104 1461

    [25]

    L¨u L Y, Zhang Z K, Zhou T 2010 PLoS One 5 e14139

    [26]

    Blasius B, Tonjes R 2009 Phys. Rev. Lett. 103 218701

    [27]

    Shao J, Lvanov P C, UrosevicUroˇsevi′c, Stanley H E, Podobnik B 2011 Europhys. Lett. 84 48001

    [28]

    Liu H K, Zhou T 2007 Acta Phys. Sin. 56 106 (in Chinese)[刘宏鲲, 周涛2007 56 1 06]

    [29]

    Reed W J 2003 Physica A 319 469

    [30]

    Reed W J, Jorgensen M 2004 Stats-Theory & Methods 33 1733

    [31]

    Han X P, Wang B H, Zhou C S, Zhou T, Zhu J F 2009 e-print arXiv. 0912.1390

    [32]

    Kendall M 1938 Biometrika 30 81

    [33]

    Shannon C E 1951 Bell Systems Technical Journal 30 50

    [34]

    Thomas M C 2006 Elements of Information Theory (Wiley)

    [35]

    Colizza V, Barrat A, Barthelemy M, Vespignani A 2006 PNAS 103 2015

    [36]

    Li M J, Wu Y, Liu W Q, Xiao J H 2009 Acta. Phys. Sin. 58 8 (in Chinese)[李明杰, 昊晔, 刘维清, 肖井华2009 58 8]

    [37]

    Xiong F, Liu Y, Si X M, Ding F 2010 Acta. Phys. Sin. 59 10 (in Chinese)[熊菲, 刘云, 司夏萌, 丁飞2010 59 10]

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Publishing process
  • Received Date:  17 July 2011
  • Accepted Date:  10 May 2012
  • Published Online:  05 May 2012

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