Spatial model of reproduction on panel data

Publication type Article
Status Published
Occupation: head laboratory for study the socio-economic problems of the regions
Bashkir state university
Ufa State Aviation Technical University
Address: Russian Federation, Ufa, 3/4, Karla Marksa St.
Occupation: Senior Researcher
Affiliation: Bashkir state university
Address: 3/4, Karla Marksa St., Ufa
Journal nameEkonomika i matematicheskie metody
EditionVolume 57 Issue 2


The reproduction process characterizes the movement of commodity and financial flows in the economy, influencing its development. This determines the interest of scientists, government bodies and entrepreneurial structures in its study. In this article, reproduction is considered as a process that changes over time, on the one hand, and has a spatial dependence, due to the mismatch of places of production and consumption, on the other hand. This work consistently carried out: specialized statistical tests, estimation of panel models of various specifications, analysis of spatial data autocorrelation and construction of a spatial model on panel data. This made it possible to determine the relationship between the phases of reproduction taking into account their territorial localization. The constructed models make it possible to take into account the individual effects of territories, effects by periods, as well as the location of territories relative to each other. This greatly expands the ability to predict changes in the reproductive process.


Keywordspanel data, fixed effects model, random effects model, spatial panel, reproduction, spatial autocorrelation.
AcknowledgmentThis work is supported by the Ministry of Science and Higher Education of the Russian Federation (scientific code FZWU-2020-0027)
Publication date25.06.2021
Number of characters50893
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1. Akhunov R.R., Yusupov K.N., Yangirov A.V. (2011). The reproductive potential of the region governance. Ufa: BashSU.

2. Amemiya T. (1971). The Estimation of the Variances in a Variance–Components Model // International Economic Review. ¹ 12. P. 1–13.

3. Anselin L., Syabri I., Smirnov O. (2002). Visualizing Multivariate Spatial Correlation with Dynamically Linked Windows // Computing Science and Statistics. 33p. [Ýëåêòðîííûé ðåñóðñ]. URL:

4. Baltagi B.H., Song S.H., Jung B.C., Koh W. (2007). Testing for Serial Correlation, Spatial Autocorrelation and Random Effects Using Panel Data // Journal of Econometrics. Vol. 140(1). P. 5–51.

5. Baltagi B.H., Song S.H., Koh W. (2003). Testing Panel Data Regression Models with Spatial Error Correlation // Journal of Econometrics. Vol. 117. P. 123–150.

6. Baltagi B., Li Q. (1995). Testing AR(1) Against MA(1) Disturbances in an Error Component Model // Journal of Econometrics. Vol. 68. P. 133–51.

7. Baltagi B., Li Q. (1991). A Joint Test for Serial Correlation and Random Individual Effects // Statistics and Probability Letters. Vol. 11. P. 277–80.

8. Croissant Y., Millo G. (2008). Panel Data Econometrics in R: The plm Package // Journal of Statistical Software. Vol. 27. P. 1-43. 10.18637/jss.v027.i02.

9. Davidson N. B. (2015). The impact of spatial concentration on enterprise performance / N. B. Davidson, O. S. Mariev // Ekonomika regiona [Economy of Region]. ¹ 4. Ð. 95-105.

10. Demidova O. (2015). Spatial effects for the eastern and western regions of Russia: a comparative analysis // International Journal of Economic Policy in Emerging Economies. ¹8(2). Ð. 153-168.

11. Hadri K. (2000). Testing for stationarity in heterogeneous panel data // The Econometrics Journal. ¹ 3(2). Ð. 148–161. doi:10.1111/1368-423x.00043

12. Hall A. (1994). Testing for a unit root in time series with pretest data-based model selection // Journal of Business & Economic Statistics. ¹ 12(4). Ð. 461–470.

13. Honda Y. (1985). Testing the Error Components Model with Non–Normal Disturbances // Review of Economic Studies. ¹ 52. Ð. 681–90.

14. Im K. S., Pesaran M. H., Shin Y. (2003). Testing for unit roots in heterogeneous panels // Journal of Econometrics. ¹ 115(1). Ð. 53–74. doi:10.1016/s0304-4076(03)00092-7

15. Kapoor M., Kelejian H.H., Prucha I.R. (2007). Panel Data Model with Spatially Correlated Error Components // Journal of Econometrics. Vol. 140(1). P. 97–130.

16. Kilin P.M. (2013). Constructive political economy. Tyumen: Tsogu.

17. Leontief W., Strout À. (1963). Multiregional Input-Output Analysis // Structural Interdependence and Economic Development / Ed. T. Barna. P. 119–150.

18. Millo G., Piras G. (2012). splm: Spatial Panel Data Models in R // Journal of Statistical Software. Vol. 47(i01). DOI:

19. Minakir P.A. (1983). The economic development of the region: a programmatic approach. Ed. A.G. Zeldner, N.I. Flowers; Institute for Economic Research, Far Eastern Scientific Center, Academy of Sciences of the USSR. Moscow: Publishing house "Science".

20. Mutl J., Pfaffermayr M. (2011). The Hausman Test in a Cliff and Ord Panel Model // Econometrics Journal. Vol. 14. P. 48–76.

21. Nerlove M. (1971). Further Evidence on the Estimation of Dynamic Economic Relations from a Time–Series of Cross–Sections // Econometrica. Vol. 39. P. 359–82.

22. Nikonorov V.M. (2018). A set of trade models in the Russian Federation as a complex economic system // Science and business: ways of development, 2 (80), 50-55.

23. Novoselov A.S. (2006). Region as the initial concept of the theory of regional reproduction. Region: Economics and Sociology, 3, 3–14.

24. Pedroni P. (1999). Critical values for cointegration tests in heterogeneous panels with multiple regressors // Oxford bulletin of economics and statistics. ¹61. P.653-670.

25. Polyakova A.G., Simarova I.S. (2014). Region economical space and territory development: the evaluation of cohesion forces. Journal of Applied Economic Research, 2, 48-60.

26. Prishlyak E.A. (2005). The reproduction of food products and its impact on the standard of living of the population: abstract.. Marijs. state tech. un-t Yoshkar-Ola.

27. Ratnikova Ò.À. (2006) Introduction to econometric analysis of panel data. The HSE Economic Journal, 3, 492—519. 

28. Sharonina L.V. (2003). Gross regional product as an indicator of reproductive proportions of the mesoscale of the economy: questions of theory and methodology: workpaper. Rostov-on-Don.

29. Shniper R.I., Voevoda I.N., Guzner S.S. (1986). Regional program and principles of its development: Issues of intersectoral interaction. Novosibirsk: Science.

30. Sonis M., Hewings G. J. D., Gazel R. (1995). The structure of multi-regional trade flows: hierarchy, feedbacks and spatial linkages // The Annals of Regional Science. ¹ 29(4). Ð. 409–430.

31. Swamy P.A.V.B., Arora S.S. (1972). The Exact Finite Sample Properties of the Estimators of Coefficients in the Error Components Regression Models // Econometrica. Vol. 40. P. 261–75.

32. Vasilchuk E.S. (2018). Assessing the state and forecasting the development of retail trade in the region. In: Actual problems and prospects for the development of state statistics in modern conditions. Materials of the IV International Scientific and Practical Conference, 69-71.

33. Wallace T.D., Hussain A. (1969). The Use of Error Components Models in Combining Cross Section with Time Series Data // Econometrica. Vol. 37 (1). P. 55–72.

34. Wooldridge J. M. (2002). Econometric Analysis of Cross–Section and Panel Data. MIT press.

35. Zemtsov S. P., Tsareva Yu. V. (2018). Entrepreneurial Activity in the Russian Regions: How Spatial and Temporal Effects Determine the Development of Small Busines // Journal of the New Economic Association. ¹ 1(37). Ð. 118–134

36. Zimin A.F., Timiryanova V.M. (2016). The spatial aspect of the development of the consumer goods market: monograph. Ufa: Ufa Institute (branch) REU named after G.V. Plekhanov.

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