Model of Nomads and Plowmen with a Limited Resource of Spatial Movement

Publication type Article
Status Published
Affiliation: Central Economic and Mathematic Institute, Russian Academy of Sciences
Address: Russian Federation, Moscow
Journal nameEkonomika i matematicheskie metody
EditionVolume 54 Issue 4

In the article (Belousov, 2017), the model with the simplest social structure was built and studied. In the model agents are divided into two types – nomads and plowmen, each of which is distinguished by its attitude to the method of production of the product. If plowmen can independently reproduce product, then nomads are not endowed with such skills, instead they have the ability to find such a product in the area, including taking it away from plowmen. In mentioned article, the question of extinction of one of the civilizations was studied, and the question of the coexistence of these civilizations in a single space during the observed period also was studied. The scientific novelty of this work lies in the development of the original model of nomads and plowmen and addition of new conditions associated with restrictions on movement of agents. In the new modification, agents are forbidden to move away from their place of birth beyond a certain exogenously specified distance during their lifetime. Due to the fact that the original model is rather the model of ancient society, its modification better reflects the socio-demographic processes that took place in ancient times. The ancient people, perhaps with rare exceptions, did not have the opportunity to travel long distances and they were somehow tied to their place of birth and permanent habitat. A series of experiments was carried out, the ranges of values of the parameter introduced into the model, under which different qualitative dynamics of the entire system is observed, were determined. The value of this work is added by the fact that the access to more productive computing power has allowed to carry out better calculations. Thus, in the initial model, calculations were carried out for a length of 4000 periods of model time; in the new model, this characteristic grew to 15,000 and 20,000 periods. Such growth of this indicator allows to reveal new qualitative dynamics not only in the new presented modification, but also in the original model of nomads and plowmen.

Keywordsartificial society, simulation modeling, agent-based modeling, extinction of civilizations, nomads, plowmen
Publication date15.01.2019
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1. Bahn P.G., Flenley J. (1992). Easter Island, Earth Island. New York: Thames and Hudson.

2. Bak P., Tang C., Wiesenfeld K. (1987). Self-Organized Criticality: An Explanation of 1/f Noise. Phisical Review Letters, 59 (4), 381–384.

3. Bak P., Tang C., Wiesenfeld K. (1988). Self-Organized Criticality. Physical Review A, 38 (1), 364–374.

4. Bazykin A.D. (1985). Mathematical Biophysics of Interacting Populations. Moscow: Nauka (in Russian).

5. Belousov F.A. (2014). Analysis of the Henings Model. Its modifications. Audit and Financial Analysis, 1, 319–323 (in Russian).

6. Belousov F.A. (2017). Model of Civilization with Two Types of Reproduction Product (Model of Nomads and Plowmen). Economics and Mathematical Methods, 53, 3, 31–38 (in Russian).

7. Belousov F.A. (2018). Wavelet Analysis of Time Series in the Model of Nomads and Tillers. Bulletin of the Voronezh State University of Engineering Technologie. Moscow: Voronezh State University of Engineering Technologies, 80, 1, 288–297 (in Russian).

8. Blume L.E. (2004). Evolutionary Equilibrium with Forward-Looking Players. Available at:–04–015.pdf (accessed: November 2018).

9. Bourbon F., Fabianis V.M. de (eds) (2008). The Magnificence of Lost Civilizations. Moscow: BMM AO (in Russian).

10. Cline E.H. (2014). 1177 B.C. The Year that Civilization Collapsed. Princeton: Princeton University Press.

11. David M. (1986). Raup Biological Extinction in Earth History. Science, 231, 1528–1533.

12. Dickinson O. (2007). The Aegean from Bronze Age to Iron Age: Continuity and Change Between the Twelfth and Eight Centuries. BCRoutlafge.

13. Epstein J., Axtell R. (1996). Growing Artificial Societies: Social Science from the Bottom up. Washington: Washington Brookings Institution Press.

14. Gallenkamp C. (1959). Maya: The Riddle and Rediscovery of a Lost Civilization. Philadelphia: D. McKay Company, 240.

15. Gibbon A. (2001). The History of the Decline and Collapse of the Roman Empire. Moscow: OLMA-PRESS (in Russian).

16. Grant M. (1998). The collapse of the Roman Empire Moscow: Terra – Knizhnyi klub (in Russian).

17. Heckbert S.M. (2013). An Agent-Based Model of the Ancient Maya Social-Ecological System. Journal of Artificial Societies and Social Simulation, 16, 4, 11. Available at: (accessed: November 2018).

18. Henning P.A. (2008). Computational Evolution. Lecture Notes in Economics and Mathematical Systems Ser., 175–193.

19. Hunt T.L. (2007). Rethinking Easter Island’s Ecological Catastrophe. Journal of Archeological Science, 34, 485–502.

20. Ko M. (2007). Maya. Disappeared Civilization: Legends and Facts. Moscow: Tsentrpoligraf (in Russian).

21. Makarov V.L., Beklaryan L.A., Belousov F.A. (2014). Steady Regimens in Henning Model and its Modifications. Journal of Machine Learning and Data Analysis, 10, 1385–1395 (in Russian).

22. Sole R.V., Manrubia S.C. (1996). Extinction and Self-Organized Criticality in a Model of Large-Scale Evolution. Physical Review E, 54 (1), R42—R45.

23. Toynbee A.J. (1934–1961). A Study of History. Moscow: Progress (in Russian).

24. Wittek P., Rubio-Campillo X. (2012). Scalable Agent-Based Modeling with Cloud HPC Resources for Social Simulations. In: “IEEE4th International Conference on Cloud Computing Technology and Science (CloudCom)”. December 3–6. Taipei, Taiwan, 355–362.

25. Younger S. (2005). Violance and Revenafe in Egalitarian Societies. Journal Artificial Societies Social Simulations, 8, 4, 11. Available at: (accessed: November 2018).

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