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Vertical transmission of culture and the distribution of family names

Author

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  • Zanette, Damián H
  • Manrubia, Susanna C

Abstract

A stochastic model for the evolution of a growing population is proposed, in order to explain empirical power-law distributions in the frequency of family names as a function of the family size. Preliminary results show that the predicted exponents are in good agreement with real data. The evolution of family-name distributions is discussed in the frame of vertical transmission of cultural features.

Suggested Citation

  • Zanette, Damián H & Manrubia, Susanna C, 2001. "Vertical transmission of culture and the distribution of family names," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 1-8.
    • Handle: RePEc:eee:phsmap:v:295:y:2001:i:1:p:1-8
    DOI: 10.1016/S0378-4371(01)00046-2
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    Citations

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    Cited by:

    1. Beare, Brendan K & Toda, Alexis Akira, 2020. "On the emergence of a power law in the distribution of COVID-19 cases," University of California at San Diego, Economics Working Paper Series qt9k5027d0, Department of Economics, UC San Diego.
    2. Qianqian Li & Tao Yang & Erbo Zhao & Xing’ang Xia & Zhangang Han, 2013. "The Impacts of Information-Sharing Mechanisms on Spatial Market Formation Based on Agent-Based Modeling," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-12, March.
    3. Michael P Cameron, 2022. "Zipf's Law across social media," Working Papers in Economics 22/07, University of Waikato.
    4. Pierpaolo Andriani & Bill McKelvey, 2007. "Beyond Gaussian averages: redirecting international business and management research toward extreme events and power laws," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 38(7), pages 1212-1230, December.
    5. Gao, Shilong & Gao, Nunan & Kan, Bixia & Wang, Huiqi, 2021. "Stochastic resonance in coupled star-networks with power-law heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    6. Luis F Lafuerza & Raul Toral, 2011. "Evolution of Surname Distribution under Gender-Equality Measures," PLOS ONE, Public Library of Science, vol. 6(4), pages 1-4, April.
    7. Ferreira, G.D. & Viswanathan, G.M. & da Silva, L.R. & Herrmann, H.J., 2018. "Surname complex network for Brazil and Portugal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 198-207.
    8. Asif, Muhammad & Hussain, Zawar & Asghar, Zahid & Hussain, Muhammad Irfan & Raftab, Mariya & Shah, Said Farooq & Khan, Akbar Ali, 2021. "A statistical evidence of power law distribution in the upper tail of world billionaires’ data 2010–20," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    9. De Luca, Andrea & Rossi, Paolo, 2009. "Renormalization group evaluation of exponents in family name distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3609-3614.
    10. Pierpaolo Andriani & Bill McKelvey, 2009. "Perspective ---From Gaussian to Paretian Thinking: Causes and Implications of Power Laws in Organizations," Organization Science, INFORMS, vol. 20(6), pages 1053-1071, December.
    11. Pierpaolo Andriani & Bill McKelvey, 2006. "Beyond Gaussian Averages: Redirecting Management Research Toward Extreme Events and Power Laws," Department of Economics Working Papers 2006_03, Durham University, Department of Economics.

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