Skip to main content
Log in

Using Quantile Regression to Estimate Spatial Patterns of Surface Temperature Trends over the Territory of Russia

  • Published:
Izvestiya, Atmospheric and Oceanic Physics Aims and scope Submit manuscript

Abstract

This work involves calculations of climatic trends of anomalies in daily minimum, maximum, and average air temperatures based on the quantile regression method (QRM), which allows one to estimate trends in detail for any quantile in the range of quantile values from 0 to 1. Based on the QRM climate trend calculations detailed for different quantiles of trends in daily air temperature anomalies, clustering of more than 1400 meteorological stations of Russia is performed. Clustering is carried out in the multidimensional space, the formation of which takes into account seasonal peculiarities of the QRM trends of anomalies for three types of daily temperatures (daily minimum, maximum, and average temperatures) and features of the QRM trends in different parts of the quantile range. Twelve clusters of weather stations have been distinguished in the created multidimensional space using the k-means method. The stations that are included in each of the distinguished clusters are similar in terms of manifestation of the QRM trends of temperature. Despite the absence of characteristics of the geographical location of the observation stations among the variables of the multidimensional space, the stations within each of the twelve distinguished clusters are situated geographically quite compactly. The geographical distribution of stations assigned to different clusters is demonstrated and discussed. Based on the results of clustering, some features of quantile trends of temperature anomalies of specific seasons within the groups of stations assigned to individual clusters are described. Differences in manifestation of quantile trends between 12 clusters of Russian stations distinguished based on QRM quantile trends are obvious. At the same time, however, significant similarities can be observed between some individual pairs of clusters. The approaches and results of this work can be used to improve the climatic zoning of the Russian territory, which seems to be very relevant for the preparation and implementation of regional plans of adaptation to climate changes. The results can also be used for solving various applied climatology problems based on calculations of quantiles of different meteorological parameters.

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.

REFERENCES

  1. Bulygina, O.N., Razuvaev, V.N., Korshunova, N.N., and Groisman, P.Ya., Climate variations and changes in extreme climate events in Russia, Environ. Res. Lett., 2007, vol. 2, no. 4, p. 045020.

    Article  Google Scholar 

  2. Chapman, S., Stainforth, D., and Watkins, N., Limits to the quantification of local climate change, Environ. Res. Lett., 2015, vol. 10, no. 9, p. 094018.

    Article  Google Scholar 

  3. Fan, L., Quantile trends in temperature extremes in China, Atmos. Ocean. Sci. Lett., 2014, vol. 7, no. 4, pp. 304–308.

    Article  Google Scholar 

  4. Dantzig, G.B., Origins of the simplex method (PDF), in A History of Scientific Computing, Nash, S.G., Ed., Association for Computing Machinery, 1987, pp. 141–151. https://doi.org/10.1145/87252.88081.

  5. Efron, B., Bootstrap methods: Another look at the Jacknife, Ann. Stat., 1979, vol. 7, no. 1, pp. 1–26.

    Article  Google Scholar 

  6. Gao, M. and Franzke, C., Quantile regression-based spatio–temporal analysis of extreme temperature change in China, J. Clim., 2017, vol. 30, pp. 9897–9914. https://doi.org/10.1175/JCLID-17-0356.1

    Article  Google Scholar 

  7. Grillakis, M. Koutroulis, A., et al., A method to preserve trends in quantile mapping bias correction of climate modeled temperature, Earth Syst. Dyn., 2017, vol. 8, pp. 889–900.

    Article  Google Scholar 

  8. Haugen, M., Stein, M., and Moyer, E., Estimating changes in temperature distributions in large ensemble of climate simulations using quantile regression, J. Clim., 2018, vol. 31, pp. 8573–8588.

    Article  Google Scholar 

  9. Haugen, M., Stein, L., Sriver, R., and Moyer, E., Future climate emulations using quantile regressions on large ensembles, Adv. Stat. Clim. Meteorol. Oceanogr., 2019, vol. 5, pp. 37–55.

    Article  Google Scholar 

  10. Koenker, R. and Bassett, G., Regression quantiles, Econometrica, 1978, vol. 46, no. 1, pp. 33–50.

    Article  Google Scholar 

  11. Lee, K., Baek H.-J., and Cho, Ch.H., Analysis of changes in extreme temperatures using quantile regression, Asia-Pac. J. Atmos. Sci., 2013, vol. 49, pp. 313–323.

    Article  Google Scholar 

  12. Lloyd, S.P., Least squares quantization in PCM, IEEE Trans. Inf. Theory, 1982, vol. 28, no. 2, pp. 129–137.

    Article  Google Scholar 

  13. Steinhaus, H., Sur la division des corps matériels en parties, Bull. Acad. Pol. Sci., 1956, vol. 4, no. 12, pp. 801–804.

    Google Scholar 

  14. Sterin, A.M. and Lavrov, A.S., Temperature trends in the free atmosphere: Calculations using the quantile regression method, Fundam. Prikl. Klimatol., 2021, vol. 7, no. 2, pp. 99–114. https://doi.org/10.21513/2410-8758-2021-2-101-116

    Article  Google Scholar 

  15. Sterin, A.M. and Timofeev, A.A., Estimation of surface air temperature trends over the Russian Federation territory using the quantile regression method, Russ. Meteorol. Hydrol., 2016, vol. 41, no. 6, pp. 388–397.

    Article  Google Scholar 

  16. Timofeev, A.A. and Sterin, A.M., Using the quantile regression method to analyze changes in climate characteristics, Russ. Meteorol. Hydrol., 2010, vol. 35, no. 5, pp. 310–319.

    Article  Google Scholar 

  17. Xuan, Y., Abbas, S.A., Song, X., and Reeve, D.E., Quantile regression based method for investigating rainfall trends associated with flooding and drought conditions, Eur. Water, 2017, vol. 59, pp. 137–143.

    Google Scholar 

  18. Yang, C., Li, L., and Xu, J., Changing temperature extremes based on CMIP5 output via semi-parametric quantile regression approach, Int. J. Climatol., 2018, vol. 38, pp. 3736–3748.

    Article  Google Scholar 

  19. Zhang, S., Gan, T.Y., and Bush, A., Variability of Arctic sea ice based on quantile regression and the teleconnection with large-scale climate patterns, J. Clim., 2020, vol. 33, pp. 4009–4025.

    Article  Google Scholar 

Download references

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. M. Sterin.

Ethics declarations

CONFLICT OF INTEREST

The authors of this work declare that they have no conflicts of interest.

CONSENT TO PARTICIPATE

Informed consent was obtained from all individual participants included in the study.

Additional information

Translated by A. Nikol’skii

Publisher’s Note.

Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sterin, A.M., Lavrov, A.S. Using Quantile Regression to Estimate Spatial Patterns of Surface Temperature Trends over the Territory of Russia. Izv. Atmos. Ocean. Phys. 59 (Suppl 2), S212–S222 (2023). https://doi.org/10.1134/S0001433823140128

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001433823140128

Keywords:

Navigation