Paper Search

Complex Systems and Complexity Science >

2017 , Vol. 14 >Issue 1: 20 - 27

DOI: https://doi.org/10.13306/j.1672-3813.2017.01.004

Dynamical Analysis on Polarization of Regions in Population Distribution Induced by Migrations

  • Distribution Induced by Migrations
    SUN Gongqiang     ,
  • HUO Jie ,
  • WANG Peng ,
  • HAO Rui ,
  • WANG Xuming ,
  • Distribution Induced by Migrations
    SUN Gongqiang     ,
  • HUO Jie ,
  • WANG Peng ,
  • HAO Rui ,
  • WANG Xuming
Expand
  • 1. School of Physic and Electronic-Electrical Engineering, Ningxia University,Yinchuan 750021,China;
    2. Ningxia Key Laboratory of Intelligent Sensing for Desert Information,Yinchuan 750021,China

Received date: 2015-11-08

  Revised date: 2016-09-24

  Online published: 2025-02-24

Fold

Abstract

Abstract: To reveal behaviors of population migration driven by interests, a generalized potential for a region is suggested and defined by income per capita, public service resources per capita and average age of the people within it.The dynamic rules are: when the generalized potential for a given region is higher than the average over all of the regions,some people would like to migrate out of this region;the regions that their generalized potentials are of lower than the average will become the migration destinations,immigration regions,for the upcoming migrating people;the allocation of such upcoming migrating people to the immigration regions is determined by difference of the generalized potentials between the given region and the corresponding immigration regions.The calculated results show some regulations that govern the migrating process: the number of migration people in a region,neither immigration or emigration, decays generally in an exponential way with time,which leads to the amount of people, income per capita and public service resources per capita in the emigration/immigration region decreases /increases in an exponential/“anti-exponential” way, and finally reach a relative steady state at which the mentioned three key factors match each other. The variation of information entropy and the evolution of pattern-formation for the regions indicate that the system evolves towards order in the progress of polarization of population distribution.

Key words： population migration; generalized potential; polarization of regions; information entropy

Cite this article

Distribution Induced by Migrations
SUN Gongqiang , HUO Jie , WANG Peng , HAO Rui , WANG Xuming , Distribution Induced by Migrations
SUN Gongqiang , HUO Jie , WANG Peng , HAO Rui , WANG Xuming . Dynamical Analysis on Polarization of Regions in Population Distribution Induced by Migrations[J]. Complex Systems and Complexity Science, 2017 , 14(1) : 20 -27 . DOI: 10.13306/j.1672-3813.2017.01.004

References

[1] Castellano C, Fortunato S, Loreto V. Statistical physics of social dynamics[J].Reviews of Modern Physics, 2009, 81(2): 591.
[2] Brockmann D, Hufnagel L, Geisel T. The scaling laws of human travel[J].Nature, 2006, 439(7075): 462-465.
[3] Ravenstein E G. The laws of migration[J].Journal of the Statistical Society of London, 1885: 167-235.
[4] Zipf G K. The P1 P2/D hypothesis: on the intercity movement of persons[J].American Sociological Review, 1946: 677-686.
[5] Dorigo G, Tobler W. Push-pull migration laws[J].Annals of the Association of American Geographers, 1983, 73(1): 1-17.
[6] Lee E S. A theory of migration[J].Demography, 1966, 3(1): 47-57.
[7] Heberle R.The causes of rural-urban migration a survey of German theories[J].American Journal of Sociology, 1938: 932-950.
[8] Rogers A, Raquillet R, Castro L J. Model migration schedules and their applications[J].Environment and Planning A, 1978, 10(5): 475-502.
[9] Rogers A. Model migration schedules: an application using data for the Soviet Union[J].Canadian Studies in Population, 1978, 5: 85-96.
[10] 封晨洁, 王鹏, 王旭明. 群体迁移行为的理论与实证研究[J].物理学报, 2015, 64(3): 030502.
Feng Chenjie, Wang Peng, Wang Xuming. Theoretical and empirical studies on group behaviors[J].Acta Physica Sinica, 2015, 64(3): 030502.
[11] Todaro M P. A model of labor migration and urban unemployment in less developed countries[J].The American Economic Review, 1969: 138-148.
[12] Schultz T W. Reflections on investment in man[J].The Journal of Political Economy, 1962: 1-8.
[13] Sjaastad L A. The costs and returns of human migration[J].The journal of Political Economy, 1962: 80-93.
[14] 施华萍, 柯见洪, 孙策, 等. 中国人口分布规律及演化机理研究[J].物理学报, 2009, 58(1): 1-8.
Shi Huaping, Ke Jianhong, Sun Ce, et al. Rules of the population distribution of China and its evolution mechanism[J].Acta Physica Sinica, 2009, 58(1): 1-8.
[15] 徐赞新, 王钺, 司洪波,等.基于随机矩阵理论的城市人群移动行为分析[J].物理学报, 2011, 60(4): 40501-040501.
Xu Zanxin, Wang Yue, Si Hongbo, et al. Analysis of urban human mobility behavior basedon random matrix theory[J].Acta Physica Sinica, 2011, 60(4): 40501-040501.
[16] Han X P, Hao Q, Wang B H, et al. Origin of the scaling law in human mobility: hierarchy of traffic systems[J].Physical Review E, 2011, 83(3): 036117.
[17] Gonzalez M C, Hidalgo C A, Barabasi A L. Understanding individual human mobility patterns[J].Nature, 2008, 453(7196): 779-782.
[18] Zhao Z D, Xia H, Shang M S, et al. Empirical analysis on the human dynamics of a large-scale short message communication system[J].Chinese Physics Letters, 2011, 28(6): 068901.
[19] Wu Y, Zhou C S, Xiao J H, et al. Evidence for a bimodal distribution in human communication[J].Proceedings of the National Academy of Sciences, 2010, 107(44): 18803-18808.
[20] Song C, Koren T, Wang P, et al. Modelling the scaling properties of human mobility[J].Nature Physics, 2010, 6(10): 818-823.
[21] Hong W, Han X P, Zhou T, et al. Heavy-tailed statistics in short-message communication[J].Chinese Physics Letters, 2009, 26(2): 028902.
[22] Candia J, González M C, Wang P, et al. Uncovering individual and collective human dynamics from mobile phone records[J].Journal of Physics A: Mathematical and Theoretical, 2008, 41(22): 224015.
[23] 韩筱璞, 汪秉宏, 周涛. 人类行为动力学研究[J].复杂系统与复杂性科学, 2010, 7(2): 132-144.
Han Xiaopu, Wang Binghong, Zhou Tao. Researches of human dynamics[J].Complex Systems and Complexity Science, 2010, 7(2): 132-144.
[24] 周涛, 韩筱璞, 闫小勇, 等. 人类行为时空特性的统计力学[J].电子科技大学学报, 2013, 42(4): 481-540.
Zhou Tao, Han Xiaopu, Yan Xiaoyong, et al. Statistical mechanics on temporal and spatial activities of human[J].Journal of the University of Electronic Science and Technology of China, 2013, 42(4): 481-540.
[25] Wang X M, Wang P, Zhang P, et al. Statistical dynamics of early river networks[J].Physica A: Statistical Mechanics and Its Applications, 2012, 391(19): 4497-4505.
[26] Song C, Qu Z, Blumm N, et al. Limits of predictability in human mobility[J].Science, 2010, 327(5968): 1018-1021.
[27] Rinaldo A, Rodriguez-Iturbe I, Rigon R. Channel networks[J].Annual Review of Earth and Planetary Sciences, 1998, 26(1): 289-327.
[28] Riccardo G, Armando B, Sandro R. Towards a statistical physics of human mobility[J].International Journal of Modern Physics C, 2012, 23(9): 1250061.
[29] Peng C B, Jin X G, Wong K C, et al. Collective human mobility pattern from taxi trips in urban area[J].PloS one, 2012, 7(4): e34487.
[30] Liang X, Zheng X D, Lv W F, et al. The scaling of human mobility by taxis is exponential[J].Physica A: Statistical Mechanics and Its Applications, 2012, 391(5): 2135-2144.
[31] Jiang B, Jia T. Exploring human mobility patterns based on location information of US flights[OB/OL].[2015-08-12].https:∥arxiv.org/abs/1104.4578.
[32] Bazzani A, Giorgini B, Rambaldi S, et al. Statistical laws in urban mobility from microscopic GPS data in the area of Florence[J].Journal of Statistical Mechanics: Theory and Experiment, 2010, 2010(05): P05001.
[33] Jiang B, Yin J, Zhao S. Characterizing the human mobility pattern in a large street network[J].Physical Review E, 2009, 80(2): 021136.
[34] Rambaldi S, Bazzani A, Giorgini B, et al. Mobility in modern cities: looking for physical laws[C]//Proceedings of the ECCS, 2007: 132.
[35] Day R H, Nugent J B. Instability in rural-urban migration[J].Economic Journal, 1987, 97(388): 940-950.
[36] Cobb C W, Douglas P H. A theory of production[J].The American Economic Review, 1928: 139-165.
Options
Outlines

/

〈 〉

Copyright © 2017 Editorial Office of Complex Systems and Complexity Science
Tel.：0532-85953597 E-mail:fzkxbjb@qdu.edu.cn