The estimation of gross regional product leading indicator by temporal dissaggregation method
DOI:
https://doi.org/10.17072/1994-9960-2024-3-253-268Abstract
Introduction. Тhe estimation of gross regional product high-frequency leading indicator is relevant for the reliable analysis of current trends in regional economy and early understanding of its changes in the periods of high uncertainty since gross regional product is published on an annual basis. One approach to receive this indicator is a temporal disaggregation method, which has proven to be reasonable in foreign literature for disaggregating gross domestic product. At the same time, temporal disaggregation of regional economic time series has been understudied.
Purpose. The purpose of the study is to refer to a temporal disaggregation method to estimate an unobservable indicator with high accuracy approximation for annual GRPs.
Materials and Methods. The study analyzed Rosstat data for various periods, which characterize the economic growth in the Republic of Bashkortostan, as well as Bank of Russia data of enteprises’ monitoring. X-13ARIMA-SEATS methods for seasonal adjustment, temporal disaggregation methods (Chou–Lin, Fernandez and Litterman) and ARIMA for short-term forecast were used.
Results. The article presents the results of temporal disaggregation of the gross regional product of the Republic of Bashkortostan. The best specification was estimated by the Chow–Lin method and includes indicators that characterize industrial production, retail trade, as well as enterprises’ survey data about the fluctuations in the ruble exchange rate. The ARIMA model gave a short-term forecast for a gross regional product leading monthly indicator. Unlike a random walk model with a forecast of up to 2-year lead time, a combination of temporal disaggregation method and ARIMA gave a better out-of-sample annual GRP forecast.
Conclusion. The study successfully tested a temporal disaggregation method for the gross regional product of the Republic of Bashkortostan. In practice, this method provides reliable forecast estimates of the gross regional product for the current economic analysis with regard to available high-frequency data. It is shown that the use of survey data can improve the quality of gross regional product forecast.
Keywords: temporal disaggregation, gross regional product, leading indicator, forecast, ARIMA, region
For citation
Gafarova E. A. The estimation of gross regional product leading indicator by temporal dissaggregation method. Perm University Herald. Economy, 2024, vol. 19, no. 3, pp. 253–268. DOI 10.17072/1994-9960-2024-3-253-268. EDN STIBFC.
REFERENCES
- Kruk D., Korshun A. Economic cycle and leading indicators: Methodological approach and the possibilities of their use in Belarus. Working Papers of IPM Research Center, WP/10/05, 2010. 35 p. (In Russ.). Available at: http://www.research.by/publications/wp/1005/ (access date06.2024).
- Lisman J. H. C., Sandee J. Derivation of quarterly figures from annual data. Journal of the Royal Statistical Society: Series C (Applied Statistics), 1964, vol. 13, no. 2, pp. 87–90. DOI 10.2307/2985700
- Denton F. T. Adjustment of monthly or quarterly series to annual totals: An approach based on quadratic minimization. Journal of the American Statistical Association, 1971, vol. 66, no. 333, pp. 99–102. DOI 10.2307/2284856
- Chow G. C., Lin A. L. Best linear unbiased interpolation, distribution, and extrapolation of time series by related series. The Review of Economics and Statistics, 1971, vol. 53, no. 4, pp. 372–375. DOI 10.2307/1928739
- Fernandez R. B. A Methodological note on the estimation of time series. The Review of Economics and Statistics, 1981, vol. 63, no. 3, pp. 471–476. DOI 10.2307/1924371
- Litterman R. B. A random walk, Markov model for the distribution of time series. Journal of Business and Economic Statistics, 1983, vol. 1, no. 2, pp. 169–173. DOI 10.2307/1391858
- Di Fonzo T. The estimation of M disaggregate time series when contemporaneous and temporal aggregates are known. The Review of Economics and Statistics, 1990, vol. 72, no. 1, pp. 178–182. DOI 10.2307/2109758
- Wei W., Stram D. Disaggregation of time series models. Journal of the Royal Statistical Society: Series B (Methodological), 1990, vol. 52, iss. 3, pp. 453–467. DOI 10.1111/j.2517-6161.1990.tb01799.x
- Al-Osh M. A dynamic linear model approach for disaggregating time series data. Journal of Forecasting, 1989, vol. 8, iss. 2. P. 85–96. DOI 10.1002/for.3980080203
- Proietti T. Temporal disaggregation by state space methods: Dynamic regression methods revisited. The Econometrics Journal, 2006, vol. 9, iss. 3, pp. 357–372. DOI 10.1111/j.1368-423X.2006.00189.x
- Mitchell J., Smith R. J., Weale M. R., Wright S., Salazar E. L. An indicator of monthly GDP and an early estimate of quarterly GDP growth. The Economic Journal, 2005, vol. 115, iss. 501, pp. F108–F129. DOI 10.1111/j.0013-0133.2005.00974.x
- Sax C., Steiner P. Temporal disaggregation of time series. The R Journal, 2013, vol. 5, iss. 2, pp. 80–87. DOI 10.32614/RJ-2013-028
- Bruno G., Di Fonzo T., Golinelli R., Parigi G. Short-run GDP forecasting in G7 countries: Temporal disaggregation techniques and bridge models. Frontiers in Benchmarking Techniques and Their Application to Official Statistics. Luxembourg, Eurostat, 2005. 24 p. Available at: https://clck.ru/3CFKpZ (access date 15.03.2024).
- Islam M. Evaluation of different temporal disaggregation techniques and an application to Italian GDP. BRAC University Journal, 2009, vol. 4, no. 2, pp. 21–32.
- Seiler C. Prediction qualities of the IFO indicators on a temporal disaggregated German GDP. IFO Working Paper Series 67. IFO Institute – Leibniz Institute for Economic Research at the University of Munich, 2009. 24 р.
- Mosley L., Eckley I. A., Gibberd A. Sparse temporal disaggregation. Journal of the Royal Statistical Society Series A: Statistics in Society, 2022, vol. 185, iss. 4, pp. 2203–2233. DOI 10.1111/rssa.12952
- Cuartas B. M., Vázquez E. F., Hewings G. J. D. Regional temporal disaggregation on economic series with macroeconomic balance: An entropy econometrics-based model. J.-C. Thill (Ed.). Innovations in Urban and Regional Systems: Contributions from GIS&T, Spatial Analysis and Location Modeling. Springer, 2020, pp. 243–256. DOI 10.1007/978-3-030-43694-0_11
- Frale C., Marcellino M., Mazzi G. L., Proietti T. A monthly indicator of the Euro area GDP. CEPR Discussion Papers 7007. 37 p.
- Abeysinghe T., Rajaguru G. Quarterly real GDP estimates for China and ASEAN4 with a forecast evaluation. Journal of Forecasting, 2004, vol. 23, iss. 6, pp. 431–447. DOI 10.1002/for.922
- Maranhão A. Now-casting and temporal disaggregation dynamic factor model for Brazilian quarterly real GDP. Open Science Research IV, 2022, vol. 4, pp. 1052–1077. DOI 10.37885/220408573
- Sumunar P., Nasrudin M. Disaggregation and forecasting of the monthly Indonesian gross domestic product (GDP). Bulletin of Monetary Economics and Banking, 2018, vol. 20, no. 4, Article 2. DOI 10.21098/bemp.v20i4.905
- Ilham M. I. Temporal dissaggregation method for estimating Indonesia’s monthly gross domestic product. Asia Pacific Statistics Week. UNESCAP, 15–19 June, 2020. Bangkok, Thailand. 6 p. Available at: https://clck.ru/3CFMBS (access date 01.06.2024).
- Ajao I. O., Ayoola F. J., Iyaniwura J. O. Temporal disaggregation methods in flow variables of economic data: Comparison study. International Journal of Statistics and Probability, 2016, vol. 5, no. 1, pp. 36–45. DOI 10.5539/ijsp.v5n1p36
- Lahari W., Haug A. A., Garces-Ozanne A. Estimating quarterly GDP data for the South Pacific Island nations. The Singapore Economic Review, 2011, vol. 56, no. 11, pp. 97–112. DOI 10.1142/S0217590811004122
- Motorin V. I. A method for temporal disaggregation of flow time-series based on time-frequency indicator data and movement preservation principle. Voprosy statistiki, 2016, no. 8, pp. 27–38. (In Russ.). DOI 10.34023/2313-6383-2016-0-8-27-38. EDN WKOFEJ
- Kuranov G. O. Questions of technique used for short-term estimates and macroeconomic forecasting. Voprosy statistiki, 2018, vol. 25, no. 2, pp. 3–24. (In Russ.). EDN YWRFYB
- Boiko V., Kislyak N., Nikitin M., Oborin O. Methods for estimating the gross regional product leading indicator. Russian Journal of Money Finance, 2020, vol. 79, no. 3, pp. 3–29. (In Russ.). DOI 10.31477/rjmf.202003.03. EDN QVFYKB
- Zhemkov M. I. Assessment of monthly GDP growth using temporal disaggregation Russian Journal of Money Finance, 2022, vol. 81, no. 2, pp. 79–104. (In Russ.). EDN FJWIAE