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, ch, of choices of populated places within the quadrilateral. The result is a constrained random walk defined by a combination of the ch 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 ch and resembles a Gamma distribution. Through comparisons with densities of real-world language families, the values of ch which yield the closest fits between real and simulated data are found.
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 Evolution 331. 946–958.
Adsera, Alicia & Mariola Pytliková. 2015. The role of language in shaping international migration. The Economic Journal 125(586). F49–F81.
Bivand, Roger & Nicholas Lewin-Koh. 2015. maptools: Tools for reading and handling spatial objects. R package version 0.8–37. [URL].
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. Science 3371. 957–960.
Brown, Clifford T., Larry S. Liebovitch & Rachel Glendon. 2007. Lévy flights in Dobe Ju/’hoansi foraging patterns. Human Ecology 351. 129–138.
Cameron, Cathrine M.2013. How people moved among ancient societies: Broadening the view. American Anthropologist 1151. 218–231.
Campbell, Lyle. 2015. Do languages and genes correlate? Some methodological issues. Language Dynamics and Change 51. 202–226.
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.
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. Nature 4491. 1044–1049.
Falck, Oliver, Stephan Heblich, Alfred Lameli & Jens Südekum. 2010. Dialects, cultural identity, and economic exchange. Forschungsinstitut zur Zukunft der Arbeit (IZA), Discussion Paper, No. 47431.
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. [URL].
Friedrich, Paul. 1970. Proto-Indo-European trees: The arboreal system of a prehistoric people. Chicago & London: The University of Chicago Press.
Hammarström, Harald, Robert Forkel, Martin Haspelmath & Sebastian Bank. 2015. Glottolog 2.6. Jena: Max Planck Institute for the Science of Human History. [URL] (accessed December 28, 2015).
Hijmans, Robert J.2015. geosphere: Spherical trigonometry. R package version 1.4–3. [URL].
Holman, Eric W. & Søren Wichmann. 2016. New evidence from linguistic phylogenetics identifies limits to punctuational change. Systematic Biology. . Early online publication.
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.
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 Evolution 27(8). 1877–1885.
Lieberman, Philip. 1984. The biology and evolution of language. Cambridge, MA: Harvard University Press.
Malmberg, Hannes. 2011. Spatial choice processes and the Gamma distribution. BA thesis, Matematiska institutionen, Stockholms universitet. [URL] (accessed January 7, 2016).
Oliveira, de Paulo Murilo Castro de, Dietrich Stauffer, Søren Wichmann & Suzana Moss de Oliveira. 2008. A computer simulation of language families. Journal of Linguistics 441. 659–675.
Pakendorf, Brigitte, Hilde Gunnink, Bonny Sands & Koen Bostoen. Forthcoming. Prehistoric Bantu-Khoisan language contact: A cross-disciplinary approach. Language Dynamics and Change 71.
Quintero, Ignacio, Petr Keil, Walter Jetz & Forrest W. Crawford. 2015. Historical biogeography using species geographical ranges. Systematic Biology 641. 1059–1073.
Seielstad, Mark T., Erich Minch & L. Luca Cavalli-Sforza. 1998. Genetic evidence for a higher female migration rate in humans. Nature Genetics 201. 278–280.
Tamura, Koichiro, Glen Stecher, Daniel Peterson, Alan Filipski & Sudhir Kumar. 2013. MEGA6: Molecular evolutionary genetics analysis version 6.0. Molecular Biology and Evolution 301. 2725–2729.
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.
Urbanek, Simon. 2015. rJava: Low-level R to Java interface. R package version 0.9–7. [URL].
Vavilov, Nikolai I.1926. Centers of origin of cultivated plants. Trudi po Prikl. Bot. Genet. Selek. [Bulletin of Applied Botany and Genetics] 161. 139–248.
Venables, W. N. and B. D. Ripley. 2002. Modern applied statistics with S, 4th edn. Springer, New York.
Viswanathan, Gandhimohan M., Marcos G. E. da Luz, Ernesto P. Raposo & H. Eugene Stanley. 2011. The physics of foraging: An introduction to random searches and biological encounters. Cambridge, UK: Cambridge University Press.
Wichmann, Søren. 2005. On the power-law distribution of language family sizes. Journal of Linguistics 411. 117–131.
Wichmann, Søren. 2008. The emerging field of language dynamics. Language and Linguistics Compass 21. 442–455.
Yee, Thomas W. & Alfian F. Hadi. 2014. Row-column interaction models, with an R implementation. Computational Statistics 29(6). 1427–1445.
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