Research Article

Persistence of Rainfall Time Series: Kırşehir Case Study

Volume: 14 Number: 1 January 31, 2022
EN

Persistence of Rainfall Time Series: Kırşehir Case Study

Abstract

This study examines the persistence and long-term correlation of monthly and seasonal rainfall time series of Kırşehir for the period of 1960-2019, with widely used Hurst exponent and Detrended Fluctuation Analysis (DFA) analyses. Both Hurst exponent and DFA analyses could be used to detect the long-term memory and correlation that can be assessed as a reference of predictability. To support the analyses results Augmented Dickey Fuller and Mann-Kendall tests also applied to time series. Within various rainfall series, evidence of persistence and long-term correlation was identified. According to H exponent values of simple R/S and corrected R/S methods, 10 out of 12 months and winter, spring (only simple R/S), summer (only corrected R/S) and autumn season and according to DFA scaling exponent values 4 out of 12 months and winter and autumn seasons exhibit long term correlation. On the other hand, when the H exponent and DFA scaling exponent values compared only four monthly and two seasonal rainfall series concluded to be consistent with both H exponent and DFA scaling exponent results.

Keywords

Hurst exponent, Persistence, Detrended Fluctuation Analysis, Rainfall

References

  1. Agbazo, M., N’Gobi, G.K., Alamou, E., Kounouhewa, B., & Afouda, A. (2019). Fractal Analysis of the Long-Term Memory in Precipitation over Bénin (West Africa). Advances in Meteorology, 2019, 1-12.
  2. Ahmad, I., Tang, D., Wang, T., Wang, M., and Wagan, B. (2015) Precipitation Trends over Time Using Mann-Kendall and Spearman’s rho Tests in Swat River Basin, Pakistan. Advances in Meteorology. 2015, 1-15.
  3. Anderson BT, Gianotti JS, Guido S, Jason F (2016) Dominant time scales of potentially predictable precipitation variations across the continental United States. J Clim 29(24):8881–8897. https://doi.org/10.1175/JCLI-D-15-0635.1
  4. Barbulescu, A., Serban, C., & Maftei, C. (2010). Evaluation of Hurst exponent for precipitation time series.
  5. Bozoglu M, Başer U, Alhas Eroglu N, Kılıc Topuz B (2019) Impacts of Climate Change on Turkish Agriculture. Journal of International Environmental Application and Science, 14:97-103 . Retrieved from https://dergipark.org.tr/tr/pub/jieas/issue/48886/560710
  6. Bryce, R., & Sprague, K. (2012). Revisiting detrended fluctuation analysis. Scientific Reports, 2.
  7. Bu, L., & Shang, P. (2014). Scaling analysis of stock markets. Chaos, 24 2, 023107.
  8. Chandrasekaran, S., Poomalai, S., Saminathan, B., Suthanthiravel, S., Sundaram, K., & Hakkim, F.F. (2019). An investigation on the relationship between the Hurst exponent and the predictability of a rainfall time series. Meteorological Applications, 26, 511-519.
  9. Chen, Y., Guan, Y., Shao, G., & Zhang, D. (2016). Investigating Trends in Streamflow and Precipitation in Huangfuchuan Basin with Wavelet Analysis and the Mann-Kendall Test. Water, 8(3), 77. MDPI AG. Retrieved from http://dx.doi.org/10.3390/w8030077
  10. Cheng, L., & AghaKouchak, A. (2014). Nonstationary precipitation intensity-duration-frequency curves for infrastructure design in a changing climate. Sci. Rep. 4, 7093. doi:10.1038/srep07093
APA
Oruc, S. (2022). Persistence of Rainfall Time Series: Kırşehir Case Study. International Journal of Engineering Research and Development, 14(1), 246-255. https://doi.org/10.29137/umagd.868317
AMA
1.Oruc S. Persistence of Rainfall Time Series: Kırşehir Case Study. IJERAD. 2022;14(1):246-255. doi:10.29137/umagd.868317
Chicago
Oruc, Sertac. 2022. “Persistence of Rainfall Time Series: Kırşehir Case Study”. International Journal of Engineering Research and Development 14 (1): 246-55. https://doi.org/10.29137/umagd.868317.
EndNote
Oruc S (January 1, 2022) Persistence of Rainfall Time Series: Kırşehir Case Study. International Journal of Engineering Research and Development 14 1 246–255.
IEEE
[1]S. Oruc, “Persistence of Rainfall Time Series: Kırşehir Case Study”, IJERAD, vol. 14, no. 1, pp. 246–255, Jan. 2022, doi: 10.29137/umagd.868317.
ISNAD
Oruc, Sertac. “Persistence of Rainfall Time Series: Kırşehir Case Study”. International Journal of Engineering Research and Development 14/1 (January 1, 2022): 246-255. https://doi.org/10.29137/umagd.868317.
JAMA
1.Oruc S. Persistence of Rainfall Time Series: Kırşehir Case Study. IJERAD. 2022;14:246–255.
MLA
Oruc, Sertac. “Persistence of Rainfall Time Series: Kırşehir Case Study”. International Journal of Engineering Research and Development, vol. 14, no. 1, Jan. 2022, pp. 246-55, doi:10.29137/umagd.868317.
Vancouver
1.Sertac Oruc. Persistence of Rainfall Time Series: Kırşehir Case Study. IJERAD. 2022 Jan. 1;14(1):246-55. doi:10.29137/umagd.868317