Skip to main content
Log in

Modeling Optimization for School Network in Conditions of Rural Depopulation (the Case of the Yelabuga District in the Republic of Tatarstan)

  • SOCIAL GEOGRAPHY
  • Published:
Regional Research of Russia Aims and scope Submit manuscript

Abstract—

The settlement pattern is undergoing dramatic transformation involving rural depopulation, agglomeration, and urbanization processes and migration to large cities, therefore spatial organization of some spheres of life activity becomes a major issue. In particular, shrinkage in the number of settlements and their population undermines the effectiveness of the education system in terms of both costs and organization of the educational process. This greatly increases the relevance of logistics issues in the education system regarding the optimization of school bus routing and planning the spatial location of public amenities. This study analyzes the existing spatial organization of the education system in rural areas for the case of one municipality, the Yelabuga municipal district of the Republic of Tatarstan. Based on the results, alternative models for organizing the general education system were developed and their cross-comparison was made with regard to their performance indicators. The optimal models were found to be based on cluster formations with minimized passenger turnover that involve reasonable costs and relatively low transport load on children. Another mechanism for optimizing traffic flows is associated with the development of the existing transport infrastructure, which allows reaching a new level of spatial organization for the system. The results of the study can be applied in regional (municipal) management, forecasting, and design, in territorial and urban planning.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.

Similar content being viewed by others

Notes

  1. See: The Ministry of Education and Science asks to review the criteria for decommissioning school buses. TASS, April 5, 2018. https://tass.ru/obschestvo/5098611.

  2. See: Republican urban planning standards of the Republic of Tatarstan (approved by the Decree of the Cabinet of Ministers of the Republic of Tatarstan as of December 27, 2013 No. 1071). https://docs.cntd.ru/document/46330718.

  3. This model can be considered as constructed based on a small sample, which is also used in mathematical statistics. The inclusion in the observation of other objects (schools) from other municipalities can also lead to deviations and unreliability of the final equations, which will be due to the peculiarities of tariff regulation in each municipality. Thus, we consider this issue debatable and requiring additional research. In general, the model can be supplemented by educational institutions in comparable municipalities in order to verify and (or) increase the reliability of the obtained dependencies. However, we believe that in considering this system (Yelabuga district) as closed (and the education system of the local level is clearly closed within the boundaries of the municipality), the resulting equations most objectively allow modeling in the specific conditions of a particular municipality.

  4. See Order of the Federal State Statistics Service of November 29, 2018 No. 705 On Approval of the Official Statistical Methodology for Calculating the Main Indicators of Education and Culture Statistics. https://docs.cntd.ru/document/551882283.

  5. See clause 10.3 of Decree of the Government of the Russian Federation as of October 23, 1993 No. 1090 (as amended on December 4, 2018) On the Traffic Regulations. http://www.consultant.ru/document/cons_doc_LAW_2709/.

  6. https://bus.gov.ru.

  7. See: SP 42.13330.2016. Urban planning. Planning and development of urban and rural settlements. Updated edition of SNiP 2.07.01-89*. https://docs.cntd.ru/document/456054209.

  8. According to Price Norms NCS 81-02-03-2017. Aggregated standards of construction prices. Collection No. 03. Objects of Public Education (with amendments). https://files.stroyinf.ru/Data2/1/4293744/4293744758.pdf.

  9. Based on data presented in: Consumption rates for fuels and lubricants in road transport. Rostov-on-Don: Feniks, 2013.

  10. According to a study by the Moscow Automobile and Highway State Technical University. See: Transportation of children: age of buses is reduced. http://5koleso.ru/avtopark/perevozka-detey-avtobusam-snizhayut-vozrast.

  11. See data on the level of wages by occupational groups (based on materials from a sample survey of organizations on the wages of employees by profession and position), October 2017, presented in the Unified Interdepartmental Information and Statistical System. https://www.fedstat.ru.

  12. Further the costs are given at 2017 prices.

  13. Calculated based on 1440 min per day.

REFERENCES

  1. Alekseev, A.I. and Safronov, S.G., Changes in rural settlement pattern in Russia at the end of the 20th – beginning of the 21st century, Vestn. Mosk. Univ. Ser. 5: Geogr., 2015, no. 2, pp. 66–76.

  2. Altamirano, M.A., and van Daalen, C.E., A system dynamics model of primary and secondary education in Nicaragua, Proceedings of the 22nd International Conference of the System Dynamics Society, Oxford, 2004.

  3. Boussauw, K., van Meeteren, M., and Witlox, F., Short trips and central places: The home-school distances in the Flemish primary education system (Belgium), Appl. Geogr., 2014, no. 53, pp. 311–322.

  4. Chen, D.S., Kallsen, H.A., Chen, H.C., and Tseng, V.C., A bus routing system for rural school districts, Comput. Ind. Eng., 1990, no. 19 (1–4), pp. 322–325.

  5. De Boer, E., School Concentration and School Travel, PhD Thesis, Delft: Delft Univ. of Technology, 2010.

  6. Denisenko, V.A., Osnovy obrazovatel’noi logistiki (Fundamentals of Educational Logistics), Kaliningrad: Kaliningrad Gos. Univ., 2003.

  7. Egorov, D.O. and Shurupina, V.S., Rural settlement pattern in Russia: Typology of territories according to the population of rural settlements, Reg. Issled., 2018, no. 4 (62), pp. 4–16.

  8. Gao, Y., He, Q., Liu, Y., Zhang, L., Wang, H., and Enxiang, C., Imbalance in spatial accessibility to primary and secondary schools in China: Guidance for education sustainability, Sustainability, 2016, vol. 8, no. 1236.

  9. Khaikin, M.M., On the question of the formation of the logistics concept of management in the service sector, Izv. S.-Peterb. Gos. Ekon. Univ., 2009, no. 1, pp. 43–52.

  10. Lucas, K., Transport and social exclusion: a survey of the group of seven nations, Social Research in Transport (SORT) Clearinghouse, 2004.

  11. Marique, A.-F., Dujardin, S., Teller, J., and Reiter, S., School commuting: The relationship between energy consumption and urban form, J. Transport Geogr., 2013, no. 26, pp. 1–11.

  12. Ovchinnikov, N.A., Statistical analysis of the mileage of PAZ-3205 buses in assessing the corrosion-fatigue destruction of their body, Nauchno-Metod. Elektron. Zh. “Kontsept,” 2015, vol. 35, pp. 106–110.

    Google Scholar 

  13. Park, J. and Kim, B.I., The school bus routing problem: A review, Eur. J. Operational Res., 2010, no. 202 (2), pp. 311–319.

  14. Pedamallu, C.S., Ozdamar, L., Ganesh, L.S., Weber, G.-W., and Kropat, E., A system dynamics model for improving primary education enrollment in a developing country, Organizacija, 2010, no. 43, pp. 90–101.

  15. Preston, J. and Raje, F., Accessibility, mobility and transport-related social exclusion, J. Transport Geogr., 2007, no. 15 (3), pp. 151–160.

  16. Schittekat, P., Sevaux, M., and Sörensen, K., A mathematical formulation for a school bus routing problem, Proceedings of the IEEE 2006 International Conference on Service Systems and Service Management, Troyes, 2006.

  17. Shafahi, A., Zhongxiang, W., and Haghani, A., Solving the school bus routing problem by maximizing trip compatibility, Transportation Res. Record J. Transportation Res. Board, 2017, no. 2667 (1).

  18. Sosunova, L.A., Novikov, D.T., and Gorn, A.P., Logistics in the service industry, Vestn. Samar. Gos. Ekon. Univ., no. 6 (32), 2007, pp. 168–175.

  19. Spada, M., Bierlaire, M., and Liebling, Th.M., Decision-aiding methodology for the school bus routing and scheduling problem, Transportation Sci., 2005, no. 39, pp. 477–490.

  20. Stanley, J. and Stanley, J., The importance of transport for social inclusion, Soc. Inclusion, 2017, no. 5 (4), pp. 108–115.

  21. Stern, E. and Michlis, M., Redefining high school catchment areas with varying effects of achievement equality, App. Geogr., 1986, no. 6 (4), pp. 297–308.

  22. Titheridge, H., Achuthan, K., Mackett, R., and Solomon, J., Assessing the extent of transport social exclusion among the elderly, J. Transport and Land Use, no. 2 (2), pp. 31–48.

  23. Trofimova, O.A., Educational logistics as the basis for managing an educational organization, Pedagogicheskoe Obrazovanie v Rossii, 2017, no. 8, 38–42.

  24. Vishnevsky, A.G. et al., Russian village in the demographic dimension, Mir Rossii. Sotsiologiya. Etnologiya, 2007, vol. 16, no. 1, pp. 17–58.

    Google Scholar 

  25. Zubarevich, N.V., Transformation of rural settlement pattern and rural service network in the regions, Izv. Ross. Akad. Nauk. Ser. Geogr., 2013, no. 3, pp. 26–38.

  26. Zwerts, E., Allaert, G., Janssens, D., Wets, G., and Witlox, F., How children view their travel behavior: A case study from Flanders (Belgium), J. Transport Geogr., 2010, no. 18 (6), pp. 702–710.

Download references

Funding

The study was supported by the Russian Foundation for Basic Research (project no. 17-78-10066 “Optimization of the transport and logistics system in Russia and the regions as a tool for sustainable development”).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to R. S. Nikolaev or D. O. Egorov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by I. Pertsovskaya

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nikolaev, R.S., Egorov, D.O. Modeling Optimization for School Network in Conditions of Rural Depopulation (the Case of the Yelabuga District in the Republic of Tatarstan). Reg. Res. Russ. 12, 395–413 (2022). https://doi.org/10.1134/S2079970522700046

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2079970522700046

Keywords:

Navigation