1887
Volume 34, Issue 1
  • ISSN 0176-4225
  • E-ISSN: 1569-9714
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Abstract

This paper presents properties of a computer simulation of language migration. It takes as input a simulated phylogeny and a database of today’s populated places. At each time step, a language moves within a geographical quadrilateral defined by the minimal number, , of choices of populated places within the quadrilateral. The result is a constrained random walk defined by a combination of the parameter and the landscape, which comes into play via the restriction of the walk to populated places. The distribution of move distances is qualitatively similar across values of and resembles a Gamma distribution. Through comparisons with densities of real-world language families, the values of which yield the closest fits between real and simulated data are found.

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2017-04-07
2024-12-05
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References

  1. Alves, Isabel , Miguel Arenas , Mathias Currat , Anna Sramkova Hanulova , Vitor C. Sousa , Nicolas Ray & Laurent Excoffier
    2016 Long-distance dispersal shaped patterns of human genetic diversity in Eurasia. Molecular Biology and Evolution33. 946–958.
    [Google Scholar]
  2. Adsera, Alicia & Mariola Pytliková
    2015 The role of language in shaping international migration. The Economic Journal125(586). F49–F81. doi: 10.1111/ecoj.12231
    https://doi.org/10.1111/ecoj.12231 [Google Scholar]
  3. Bivand, Roger & Nicholas Lewin-Koh
    2015 maptools: Tools for reading and handling spatial objects. R package version 0.8–37. CRAN.R-project.org/package=maptools.
    [Google Scholar]
  4. Bouckaert, Remco , Philippe Lemey , Michael Dunn , Simon J. Greenhill , Alexander V. Alekseyenko , Alexei J. Drummond , Russell D. Gray , Marc A. Suchard & Quentin D. Atkinson
    2012 Mapping the origins and expansion of the Indo-European language family. Science337. 957–960. doi: 10.1126/science.1219669
    https://doi.org/10.1126/science.1219669 [Google Scholar]
  5. Brown, Clifford T. , Larry S. Liebovitch & Rachel Glendon
    2007 Lévy flights in Dobe Ju/’hoansi foraging patterns. Human Ecology35. 129–138. doi: 10.1007/s10745‑006‑9083‑4
    https://doi.org/10.1007/s10745-006-9083-4 [Google Scholar]
  6. Cameron, Cathrine M.
    2013 How people moved among ancient societies: Broadening the view. American Anthropologist115. 218–231. doi: 10.1111/aman.12005
    https://doi.org/10.1111/aman.12005 [Google Scholar]
  7. Campbell, Lyle
    2015 Do languages and genes correlate? Some methodological issues. Language Dynamics and Change5. 202–226. doi: 10.1163/22105832‑00502007
    https://doi.org/10.1163/22105832-00502007 [Google Scholar]
  8. DeBoer, Warren
    2008 Wrenched bodies. In Catherine M. Cameron (ed.), Invisible citizens: Captives and their consequences, 233–261. Salt Lake City: University of Utah Press.
    [Google Scholar]
  9. Edwards, Andrew M. , Richard A. Phillips , Nicholas W. Watkins , Mervyn P. Freeman , Eugene J. Murphy , Vsevolod Afanasyev, Sergey V. Buldyrev , M. G. E. da Luz , E. P. Raposo , H. Eugene Stanley & Gandhimohan M. Viswanathan
    2007 Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer. Nature449. 1044–1049. doi: 10.1038/nature06199
    https://doi.org/10.1038/nature06199 [Google Scholar]
  10. Falck, Oliver , Stephan Heblich , Alfred Lameli & Jens Südekum
    2010 Dialects, cultural identity, and economic exchange. Forschungsinstitut zur Zukunft der Arbeit (IZA), Discussion Paper, No.4743.
    [Google Scholar]
  11. Fellows, Ian
    , and using the JMapViewer library by Jan Peter Stotz 2015 OpenStreetMap: Access to Open Street Map raster images. R package version 0.3.2. CRAN.R-project.org/package=OpenStreetMap.
    [Google Scholar]
  12. Friedrich, Paul
    1970Proto-Indo-European trees: The arboreal system of a prehistoric people. Chicago & London: The University of Chicago Press.
    [Google Scholar]
  13. Hammarström, Harald , Robert Forkel , Martin Haspelmath & Sebastian Bank
    2015Glottolog2.6. Jena: Max Planck Institute for the Science of Human History. glottolog.org (accessedDecember 28, 2015).
    [Google Scholar]
  14. Hijmans, Robert J.
    2015 geosphere: Spherical trigonometry. R package version 1.4–3. CRAN.R-project.org/package=geosphere.
    [Google Scholar]
  15. Holman, Eric W. & Søren Wichmann
    2016 New evidence from linguistic phylogenetics identifies limits to punctuational change. Systematic Biology. 10.1093/sysbiolsyw106. Early online publication.
    https://doi.org/10.1093/sysbiolsyw106 [Google Scholar]
  16. Hunley, Keith & Jeffrey C. Long
    2005 Gene flow across linguistic boundaries in Native North American populations. Proceedings of the National Academy of Sciences of the U.S.A. 102(5). 1312–1317. doi: 10.1073/pnas.0409301102
    https://doi.org/10.1073/pnas.0409301102 [Google Scholar]
  17. Lemey, Philippe , Andrew Rambaut , John J. Welch & Marc A. Suchard
    2010 Phylogeography takes a relaxed random walk in continuous space and time. Molecular Biology and Evolution27(8). 1877–1885. doi: 10.1093/molbev/msq067
    https://doi.org/10.1093/molbev/msq067 [Google Scholar]
  18. Lieberman, Philip
    1984The biology and evolution of language. Cambridge, MA: Harvard University Press.
    [Google Scholar]
  19. Malmberg, Hannes
    2011 Spatial choice processes and the Gamma distribution. BA thesis, Matematiska institutionen, Stockholms universitet. www2.math.su.se/matstat/reports/seriec/2011/rep3/report.pdf (accessedJanuary 7, 2016).
  20. Oliveira, de Paulo Murilo Castro de , Dietrich Stauffer , Søren Wichmann & Suzana Moss de Oliveira
    2008 A computer simulation of language families. Journal of Linguistics44. 659–675.
    [Google Scholar]
  21. Pakendorf, Brigitte , Hilde Gunnink , Bonny Sands & Koen Bostoen
    . Forthcoming. Prehistoric Bantu-Khoisan language contact: A cross-disciplinary approach. Language Dynamics and Change7.
    [Google Scholar]
  22. Quintero, Ignacio , Petr Keil , Walter Jetz & Forrest W. Crawford
    2015 Historical biogeography using species geographical ranges. Systematic Biology64. 1059–1073. doi: 10.1093/sysbio/syv057
    https://doi.org/10.1093/sysbio/syv057 [Google Scholar]
  23. Seielstad, Mark T. , Erich Minch & L. Luca Cavalli-Sforza
    1998 Genetic evidence for a higher female migration rate in humans. Nature Genetics20. 278–280. doi: 10.1038/3088
    https://doi.org/10.1038/3088 [Google Scholar]
  24. Tamura, Koichiro , Glen Stecher , Daniel Peterson , Alan Filipski & Sudhir Kumar
    2013 MEGA6: Molecular evolutionary genetics analysis version 6.0. Molecular Biology and Evolution30. 2725–2729. doi: 10.1093/molbev/mst197
    https://doi.org/10.1093/molbev/mst197 [Google Scholar]
  25. Tilly, Charles
    1978 Migration in modern European history. In William H. McNeill & Ruth Adams (eds.), Human migration: Patterns and policies, 48–74. Bloomington: Indiana University Press.
    [Google Scholar]
  26. Urbanek, Simon
    2015 rJava: Low-level R to Java interface. R package version 0.9–7. CRAN.R-project.org/package=rJava.
    [Google Scholar]
  27. Vavilov, Nikolai I.
    1926 Centers of origin of cultivated plants. Trudi po Prikl. Bot. Genet. Selek. [Bulletin of Applied Botany and Genetics] 16. 139–248.
    [Google Scholar]
  28. Venables, W. N. and B. D. Ripley
    2002Modern applied statistics with S, 4th edn.Springer, New York. doi: 10.1007/978‑0‑387‑21706‑2
    https://doi.org/10.1007/978-0-387-21706-2 [Google Scholar]
  29. Viswanathan, Gandhimohan M. , Marcos G. E. da Luz , Ernesto P. Raposo & H. Eugene Stanley
    2011The physics of foraging: An introduction to random searches and biological encounters. Cambridge, UK: Cambridge University Press. doi: 10.1017/CBO9780511902680
    https://doi.org/10.1017/CBO9780511902680 [Google Scholar]
  30. Wichmann, Søren
    2005 On the power-law distribution of language family sizes. Journal of Linguistics41. 117–131. doi: 10.1017/S002222670400307X
    https://doi.org/10.1017/S002222670400307X [Google Scholar]
  31. 2008 The emerging field of language dynamics. Language and Linguistics Compass2. 442–455. doi: 10.1111/j.1749‑818X.2008.00062.x
    https://doi.org/10.1111/j.1749-818X.2008.00062.x [Google Scholar]
  32. Wichmann, Søren , André Müller & Viveka Velupillai
    2010 Homelands of the world’s language families: A quantitative approach. Diachronica27. 247–276. doi: 10.1075/dia.27.2.05wic
    https://doi.org/10.1075/dia.27.2.05wic [Google Scholar]
  33. Yee, Thomas W. & Alfian F. Hadi
    2014 Row-column interaction models, with an R implementation. Computational Statistics29(6). 1427–1445. doi: 10.1007/s00180‑014‑0499‑9
    https://doi.org/10.1007/s00180-014-0499-9 [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Gamma distribution; linguistic diversity; Lévy flight; migration; random walk; simulation
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