References
- Alperovich, G. (1992). Economic development and population concentration. Economic Development and Cultural Change, 41, 63–74.
- Bessonov, M., Molchanov, S. and Whitmeyer, J. (2014). A mean field approximation of the Bolker-Pacala population model. Markov Processes and Related Fields, 20, 329–348.
- Blau, P. (1977). Inequality and heterogeneity. New York, NY: Free Press.
- Bolker, B. M. & Pacala, S. W. Spatial moment equations for plant competition: Understanding spatial strategies and the advantages of short dispersal, The American Naturalist, 153, 575–602.
- Bolker, B. M., Pacala, S. W., & Neuhauser, C. (2003). Spatial dynamics in model plant communities: What do we really know?, The American Naturalist, 162, 135–148.
- Childe, V. G. The urban revolution. Town Planning Review, 21, 3–17.
- Clark, D. (1998). Interdependent urbanization in an urban world: an historical overview. The Geographical Journal, 164, 85–95.
- Davis, K. (1965). Population and the further spread of industrial society. Proceedings of the American Philosophical Society, 95, 10–13.
- Dochy, F. (1995). Human population growth: Local dynamics—global effects. Acta Biotheoretica, 43, 241–247.
- Feng, Y., Molchanov, S. A., & Whitmeyer, J. (2012). Random walks with heavy tails and limit theorems for branching processes with migration and immigration. Stochastics and Dynamics, 12(1), 1150007.
- Firebaugh, G. (1979). Structural determinants of urbanization in Asia and Latin America, 1950-1970. American Sociological Review, 44, 199–215.
- Galton, F. (1873). Problem 4001. Educational Times, 1, 17.
- Galton, F, Watson, H. W. (1874). On the probability of the extinction of families. Journal of the Royal Anthropological Institute, 4, 138–144.
- Gibbs, J. P. (1963). The evolution of population concentration. Economic Geography, 39, 119–129.
- Gikhman, I. I., & Skorokhod, A. V. (1974). The theory of stochastic processes. Berlin, Germany: Springer-Verlag.
- Harris, T. E. (1963). The theory of branching processes. Berlin, Germany: Springer.
- Kasarda, J., & Crenshaw, E. (1991). Third World urbanization: dimensions, theories, and determinants, Annual Review of Sociology, 17, 467–501.
- Kelly, A., & Williamson, J. (1989). What drives third world city growth: a dynamic general equilibrium approach. Princeton, NJ: Princeton University Press.
- Kendall, D. G. (1966). Branching processes since 1873. Journal of the London Mathematical Society, 41, 385–406.
- Kolmogorov, A. N., & Dmitriev, N. A. (1947). Branching stochastic processes. Doklady Akad, Nauk U.S.S.R., 56, 5–8.
- Kondratiev, Y., Kutoviy, O., & Molchanov, S. (n.d.). On population dynamics in a stationary random environment. University of Bielefeld preprint.
- Kondratiev, YU. G., & Skorokhod, A. V. (2006). On contact processes in continuum. Infinite Dimensional Analysis, Quantum Probabilities and Related Topics, 9(2),187–198.
- Malthus, T. R. (1826). An essay on the principle of population. London, UK: John Murray.
- Minnesota Population Center. (2011). National Historical Geographic Information System: Version 2.0. University of Minnesota, Minneapolis, MN. Retrieved from http://www.nhgis.org
- Pearl, R., & Reed, L. (1920). On the rate of growth of the population of the United States. Proceedings of the National Academy of Sciences, 6, 275.
- Sevast’yanov, R. A. (1957). Limit theorems for branching stochastic processes of special form. Theory of Probability and its Applications, 3, 321–331.
- Vandermeer, J., Perfecto, I., & Philpott, S. M. (2008). Clusters of ant colonies and robust criticality in a tropical agroecosystem. Nature, 451, 457–459.
- Verhulst, P.-F. (1838). Notice sur la loi que la population poursuit dans son accrossement. Correspondance mathématique et physique, 10, 113–121.
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