The development of digital modeling in the theory of regional economics based on data on industrial petrochemical types of activity

According to the production activities of the Republic of Tatarstan, the importance of the petrochemical and chemical cluster in the sustainability of the regional economy is considered. The expediency of digital modeling based on the simplex method in the theory of regional economics as the development of the W. Aizard spatial analysis school is introduced. a certain group of close industrial, commercial or other ties. The article shows a new economic and mathematical approach to comparing exports of plastics and their products, synthetic rubber and tires on the one hand, and imports of plastics and products from them, essential oils, perfumery, cosmetics and organic compounds on the other.

On the basis of the same economic-mathematical method, a digital model of communication of the above-mentioned types of industrial activity is presented with the distribution of foreign investment by petrochemical and chemical types of eco-nomic activity of the Republic of Tatarstan. On her example, a proposal was developed on the possibility of forming a conclusion about the sustainability of a regional economic system with a high value of petrochemical cluster.

Digital modeling is currently developing very productively. This is due to the high development of software, which is being formed in the form of software packages. The use of such packages improves simulation performance and at the same time simplifies it. The advantages of digital modeling methods are the ability to solve any class of problems amenable to mathematical formalization, ensure high accuracy of computational work, ease of transforming one task into another (as a rule, just restart the program) and study objects of high dimensionality. 

1. Beilin I.L. Economic-mathematical modeling of the total costs of innovative chemical enterprise methods of fuzzy set theory. Journal of Engineering and Applied Sciences. 2017. Vol. 12. No. 19. Pp. 4865-4869. DOI: 10.3923/jeasci.2017.4865.4869

2. Beilin I.L. Analysis of efficiency of the innovative project in the field of chemistry fuzzy logic. Journal of Economics and Economic Education Research. 2016. Vol. 17. No. Special Issue 3. Pp. 177-185.

3. Isard W. Reflections on the relevance of integrated multiregion models : Lessons from Physics. Regional Science and Urban Economics, Elsevier. 1986. Vol. 16 (2). Pp. 165-180.

4. Isard W., Smith C., Anderton C. Arms Races, Arms Control, and Conflict Analysis: Contributions from Peace Science and Peace Economics. Cambridge University Press, 1989. 554 p.

5. Tatarkin A.I. Dialectics of public and market regulation of a region and municipality socio-economic development. Economy of Region. 2014. No. 1. Pp. 9-33. (In Russ.). DOI: 10.17059/2014¬1-1

6. Shumpeter J.A. Theory of economic development, capitalism, socialism and democracy. Moscow: Eksmo, 2007. 864 p. (In Russ.)

7. Ogwumu D., Friday J.E. Mathematical Model for Determining the Effect of Government Policies on Nigerians' Standard of Living and the Achievement of Economic Comfort in Nigeria. American Journal of Applied Mathematics. 2013. Vol. 1. No. 4. Pp. 84-91. DOI: 10.11648/j.ajam.20130104.17

8. Curcio C. A New Economic Measure of the Standard of Living. Duquesne University, 2005. 31 р.

9. Smrcka L., Arltova M. Debt in Relation to the Standard of Living Enjoyed by the Population of Developed Countries. Prague Economic Papers. 2014. Vol. 1. Pp. 84-107. DOI: 10.18267/j.pep.474

10. Krupka J., Provazrnkova R., Kasparova M., Langer J. Standards of Living Modeling based on Objective Indicators with Using Cluster Analysis. International Journal of Mathematical Models and Methods in Applied Sciences. 2013. Vol. 7. Pp. 782-792.

11. Akachi Y., Canning D. Inferring the Economic Standard of Living and Health from Cohort Height: Evidence from Modern Populations in Developing Countries. Economics & Human Biology. 2015. Vol. 19. Pp. 114-128. DOI: 10.1016/j.ehb.2015.08.005

12. Baikova Y.I., Vardiashvili N.N. To the Problem of Rise in the Standard of Living of Population. Asian Social Science. 2015. Vol. 11. No. 6. Pp. 45-55. DOI: 10.5539/ass.v11n6p45

13. Best M.H. Silicon Valley and the Resurgence of Route 128: Systems Integration and Regional Innovation. In: Regions, Globalization, and the Knowledge-Based Economy. Oxford University Press, 2002. Pp. 459-484.

14. Enright M. Regional Clusters, Economic Development: A Research Agenda. In: Business Network: Prospects for Regional Development. Berlin: Walter de Gruyter, 1996. Pp. 190-213.

15. Uallachain B. Oh, Leslie T.F. Rethinking the Regional Knowledge Production Function. Journal of Economic Geography. 2007. Vol. 7. No. 6. Pp. 737-752.

16. Weisbrod G. Models to Predict the Economic Development Impact of Transportation Projects: Historical Experience and New Applications. The Annals of Regional Science. 2008. Vol. 42. No. 3. Pp. 519-543.

17. Gourinchas P.O., Rey H. External Adjustment, Global Imbalances, Valuation Effects. NBER Working Paper. 2013. No. 19240. 71 p.

18. Rudskaya I.A., Rodionov D.G. Comprehensive Evaluation of Russian Regional Innovation System Performance Using a Two- Stage Econometric Model. Espacios. 2018. Vol. 39. No. 4. Pp. 40.

19. Reichelstein S., Yorston M. The Prospects for Cost Competitive Solar PV Power. Energy Policy. 2013. Vol. 55. Pp. 117-127.

20. Comello S., Reichelstein S., Sahoo A. The Road Ahead for Solar PV Power. Renewable and Sustainable Energy Reviews. 2018. Vol. 92. Pp. 744-756. DOI: 10.1016/j.rser.2018.04.098

21. Article 3 of the Law of the Republic of Tatarstan of April 21, 2016 No. 24-ZRT “On Industrial Policy in the Republic of Tatarstan”.

22. Beilin I.L., Khomenko V.V. Economic evaluation of the optimum performance of an innovative enterprise with the account of the cyclicity of its development. Russian journal of innovation economics. 2018. Vol. 8. No. 3. Pp. 499-512. (In Russ.). DOI: 10.18334/vinec.8.3.39384

23. Beilin I.L., Arkhireev V.P., Galibeev S.S., Azimov Yu.I. New propilencarbonate-based polyamidethers. Russian Journal of Chemistry anl Chemical Technology. 2006. Vol. 49. No. 1. Pp. 108-112. (In Russ.)

24. Beilin I.L., Archireev V.P., Galibeev S.S. Study of anionic copolymerization of propylene carbonate with isocyanates. Vestnik Kazanskogo tekhnologicheskogo universiteta = Bulletin of Kazan Technological University. 2004. No. 1. Pp. 369-374. (In Russ.)

25. Agreement No. С-4 on the establishment of the Oil and Gas Chemical Industry cluster of the Republic of Tatarstan on the website of the Ministry of Industry and Trade of the Republic of Tatarstan. (In Russ.)

26. Territorial body of the Federal State Statistics Service for the Republic of Tatarstan http://stat.tatarstan.ru/ (In Russ.)