Trend Analysis of Hydrometeorological Data Using Wilcoxon Test and Scatter Diagram

Abstract

Water scarcity is becoming increasingly widespread due to the increasing world population and the effects of climate change. This situation makes the management of water resources more critical. . This study includes the use of different methods for trend analysis of precipitation measurements, which are hydrometeorological data, in order to understand the effects of climate change and the comparative examination of the results of these methods. The Mann-Kendall (MK) test, Wilcoxon test and Şen's Innovative Trend Analysis (ITA) methods are the main tools of this study. This study has carried out a detailed trend analysis using precipitation data obtained from eight different hydrometeorological stations located on the Aegean and Mediterranean coasts of Turkey. These analyses were carried out on maximum precipitation data measured for 30 minutes, 60 minutes and 120 minutes. As a result, it was determined that there was a general significant increase in annual precipitation in these regions under the influence of the Mediterranean climate.

Keywords

• Mann-Kendall
• innovative trend analysis
• wilcoxon test
• time series

Wilcoxon Testi ve Saçılma Diyagramı Kullanılarak Hidrometeorolojik Verilerin Trend Analizi

Abstract

Dünya nüfusunun artması ve iklim değişikliğinin etkisiyle su kıtlığı giderek yaygınlaşmaktadır. Bu durum su kaynaklarının yönetimini daha kritik hale getirmektedir. Bu çalışma, iklim değişikliğinin etkilerini anlamak için hidrometeorolojik bir veri olan yağış ölçümlerinin trend analizi için farklı yöntemlerin kullanılmasını ve bu yöntemlerin sonuçlarının karşılaştırılmalı olarak incelenmesini içermektedir. Mann-Kendall (MK) testi, Wilcoxon testi ve Şen’in Yenilikçi Trend Analizi (YTA) yöntemleri bu çalışmanın temel araçlarıdır. Bu çalışma, Türkiye’nin Ege ve Akdeniz kıyı şeridinde yer alan sekiz farklı hidrometeorolojik istasyon üzerinden elde edilen yağış verilerini kullanarak detaylı bir trend analizi gerçekleştirmiştir. Bu analizler 30 dakika, 60 dakika ve 120 dakika süreyle ölçülen maksimum yağış verileri üzerinden gerçekleştirilmiştir. Akdeniz iklimi etkisindeki bu bölgelerde sonuç olarak yıllık yağış miktarında genel olarak belirgin bir artışın olduğu tespit edilmiştir.

Keywords

• Mann-Kendall
• yenilikçi trend analizi
• wilcoxon test
• zaman serileri

References

1. Mohorji A.M., Şen Z., Almazroui M. (2017), Trend Analyses Revision and Global Monthly Temperature Innovative Multi-Duration Analysis, Earth Syst and Environ, 1(1), 9.
2. Mumlu, D. T. (2023). Avrupa Birliği Su Çerçeve Direktifi Bağlamında Türkiye'de Su Yönetimi: Doğu Karadeniz Havzası Üzerine Bir İnceleme. Artvin Çoruh Üniversitesi Uluslararası Sosyal Bilimler Dergisi, 9(1), 193- 223.
3. Soldini, L. and Darvini, G. (2017). Extreme rainfall statistics in the Marche region, Italy. Hydrology Research, 48(3), 686-700.
4. Parmesan, C., Morecroft, M. D., & Trisurat, Y. (2022). Climate change 2022: Impacts, adaptation and vulnerability (Doctoral dissertation, GIEC).
5. Sarı, C. (2023). Python Programlama Dili Kullanilarak Günlük Maksimum Yağiş Verilerinin Trend Ve Risk Analizleri (Yüksek Lisans Tezi). İstanbul Teknik Üniversitesi, Lisansüstü Eğitim Enstitüsü, İstanbul.
6. Sonali, P., & Nagesh Kumar, D. (2013). Review of trend detection methods and their application to detect temperature changes in India. Journal of Hydrology, 476, 212-227. https://doi.org/10.1016/j.jhydrol.2012.10.034
7. Şen, Z. (2009). İklim değişikliği içerikli taşkın afet ve modern hesaplama yöntemleri. Su Vakfı Yayınları.
8. Jones, J. R., Schwartz, J. S., Ellis, K. N., Hathaway, J. M., & Jawdy, C. M. (2015). Temporal variability of precipitation in the Upper Tennessee Valley. Journal of Hydrology: Regional Studies, 3, 125-138. https://doi.org/10.1016/j.ejrh.2014.10.006

9. Rama, H.-O., Roberts, D., Tignor, M., Poloczanska, E. S., Mintenbeck, K., Alegría, A., Craig, M., Langsdorf, S., Löschke, S., Möller, V., Okem, A., Rama, B., & Ayanlade, S. (2022). Climate Change 2022: Impacts, Adaptation and Vulnerability Working Group II Contribution to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change. https://doi.org/10.1017/9781009325844
10. Güçlü, Y. S. (2018). Kıyaslamalı yenilikçi eğilim çözümlemesi temelleri ve uygulamaları. Doğal Afetler ve Çevre Dergisi, 4(2), 182-191.
11. Mann, H. B. (1945). Nonparametric Tests Against Trend. Econometrica, 13(3), 245. https://doi.org/10.2307/1907187 s
12. Kendall, M. G. (1970). Rank correlation methods (4th ed). Griffin.
13. Gadedjisso-Tossou, A., Adjegan, K. I., & Kablan, A. K. M. (2021). Rainfall and Temperature Trend Analysis by Mann–Kendall Test and Significance for Rainfed Cereal Yields in Northern Togo. Sci, 3(1), 17. https://doi.org/10.3390/sci3010017
14. Gao, F., Wang, Y., Chen, X., & Yang, W. (2020). Trend Analysis of Rainfall Time Series in Shanxi Province, Northern China (1957–2019). Water, 12(9), 2335. https://doi.org/10.3390/w12092335
15. Gocic, M., & Trajkovic, S. (2013). Analysis of changes in meteorological variables using Mann-Kendall and Sen’s slope estimator statistical tests in Serbia. Global and Planetary Change, 100, 172-182. https://doi.org/10.1016/j.gloplacha.2012.10.014
16. Wilcoxon, F. (1945). Wilcoxon, F., 1945. Individual comparisons by ranking methods. Biometrics Bull. 1 (6), 80–83.
17. Sen, P. K. (1968). Estimates of the Regression Coefficient Based on Kendall’s Tau. Journal of the American Statistical Association, 63(324), 1379-1389. https://doi.org/10.1080/01621459.1968.10480934
18. Hamed, K. H., & Ramachandra Rao, A. (1998). A modified Mann-Kendall trend test for autocorrelated data. Journal of Hydrology, 204(1-4), 182-196. https://doi.org/10.1016/S0022-1694(97)00125-X
19. Herho, S., & Firdaus, G. (2022). Time-series analysis and statistical forecasting of daily rainfall in Kupang, East Nusa Tenggara, Indonesia. International Journal of Data Science, 3(1), 25-32. https://doi.org/10.18517/ijods.3.1.25-32.2022
20. Haan, C. T. (1977). Statistical methods in hydrology: Ames. IA: University, Press/Ames.
21. Pettitt, A. N., (1979). A non-parametric approach to the change-point problem. Applied statistics 28(2), 126-135.
22. Taylor, C. H., & Loftis, J. C. (1989). TESTING FOR TREND IN LAKE AND GROUND WATER QUALITY TIME SERIES. Journal of the American Water Resources Association, 25(4), 715-726. https://doi.org/10.1111/j.1752-1688.1989.tb05385.x
23. Chiew, F. H. S., & McMahon, T. A. (1993). Detection of trend or change in annual flow of Australian rivers. International Journal of Climatology, 13(6), 643-653. https://doi.org/10.1002/joc.3370130605
24. Hamed, K. H., & Ramachandra Rao, A. (1998). A modified Mann-Kendall trend test for autocorrelated data. Journal of Hydrology, 204(1-4), 182-196. https://doi.org/10.1016/S0022-1694(97)00125-X
25. Lehmann, E. L., & D’Abrera, H. J. M. (2006). Nonparametrics: Statistical methods based on ranks (Rev. 1st ed). Springer.
26. Karabulut, M., & Cosun, F. (2007). Kahramanmaraş İlinde Yağışların Trend Analizi. Co, 65-83. https://doi.org/10.1501/Cogbil_0000000095
27. Çiçek, İ., & Ataol, M. (2009). Türkiye’nin Su Potansiyelinin Belirlenmesinde Yeni Bir Yaklaşım. Co, 51-64. https://doi.org/10.1501/Cogbil_0000000094
28. Jhajharia, D., Shrivastava, S. K., Sarkar, D., & Sarkar, S. (2009). Temporal characteristics of pan evaporation trends under the humid conditions of northeast India. Agricultural and Forest Meteorology, 149(5), 763- 770. https://doi.org/10.1016/j.agrformet.2008.10.024
29. Nalley, D., Adamowski, J., Khalil, B., & Ozga-Zielinski, B. (2013). Trend detection in surface air temperature in Ontario and Quebec, Canada during 1967–2006 using the discrete wavelet transform. Atmospheric Research, 132-133, 375-398. https://doi.org/10.1016/j.atmosres.2013.06.011
30. Nalley, D., Adamowski, J., Khalil, B., & Ozga-Zielinski, B. (2013). Trend detection in surface air temperature in Ontario and Quebec, Canada during 1967–2006 using the discrete wavelet transform. Atmospheric Research, 132-133, 375-398. https://doi.org/10.1016/j.atmosres.2013.06.011
31. Hordofa, A. T., Leta, O. T., Alamirew, T., & Chukalla, A. D. (2021). Spatiotemporal Trend Analysis of Temperature and Rainfall over Ziway Lake Basin, Ethiopia. Hydrology, 9(1), 2. https://doi.org/10.3390/hydrology9010002
32. Md Juber Alam, & Majumder, A. (2022). Statistical analysis of rainfall trend and its variability (1901–2020) in Kolkata, India. Bulletin of Geography. Physical Geography Series, 23, 5-16. https://doi.org/10.12775/bgeo- 2022-0006
33. Kessabi, R., Hanchane, M., Ait Brahim, Y., El Khazzan, B., Addou, R., & Belmahi, M. (2024). Characterization of annual and seasonal rainfall trend using innovative trend analysis (ITA) and classical methods: the case of Wadi Sebou basin (WSB) Morocco. Euro-Mediterranean Journal for Environmental Integration, 1-19.
34. Şen, Z. (2012). Innovative Trend Analysis Methodology. Journal of Hydrologic Engineering, 17(9), 1042-1046. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000556
35. Saplıoğlu, K. (2015). A new methodology for trend analysis: A case study in Burdur and Isparta, Turkey. 3344-3351.
36. Dabanlı, İ., Şen, Z., Yeleğen, M. Ö., Şişman, E., Selek, B., & Güçlü, Y. S. (2016). Trend Assessment by the Innovative-Şen Method. Water Resources Management, 30(14), 5193-5203. https://doi.org/10.1007/s11269-016- 1478-4
37. Güçlü, Y. S. (2018). Alternative Trend Analysis: Half Time Series Methodology. Water Resources Management, 32(7), 2489-2504. https://doi.org/10.1007/s11269-018-1942-4
38. Wang Y, Xu Y, Tabari H, Wang J, Wang Q, Song S, Hu Z. (2020) Innovative trend analysis of annual and seasonal rainfall in the Yangtze River Delta, eastern China. Atmospheric Research, 231, 104673.
39. Güçlü, Y. S. (2020). Improved visualization for trend analysis by comparing with classical Mann-Kendall test and ITA. Journal of Hydrology, 584, 124674. https://doi.org/10.1016/j.jhydrol.2020.124674
40. Ghate, A. S., & Timbadiya, P. V. (2022). Comprehensive Extreme Rainfall Analysis: A study on Ahmedabad region, India. ISH Journal of Hydraulic Engineering, 28(4), 438-448. https://doi.org/10.1080/09715010.2021.1905566
41. Saplıoğlu, K., & Güçlü, Y. S. (2022). Combination of Wilcoxon test and scatter diagram for trend analysis of hydrological data. Journal of Hydrology, 612, 128132. https://doi.org/10.1016/j.jhydrol.2022.128132
42. Şen, Z. (2014). Trend Identification Simulation and Application. Journal of Hydrologic Engineering, 19(3), 635-642. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000811
43. Şen, Z. (2017). Innovative trend significance test and applications. Theoretical and Applied Climatology, 127(3-4), 939-947. https://doi.org/10.1007/s00704-015-1681-x
44. Şen, Z. (2017). Innovative trend methodologies in science and engineering (pp. 1- 349). New York: Springer International Publishing.
45. Kalkınç, H. Y.(2023) Wilcoxon testi ve saçılma diyagramı kullanılarak hidrometeorolojik verilerin trend analizi. (Yüksek Lisans Tezi). İstanbul Teknik Üniversitesi, Lisansüstü Eğitim Enstitüsü, İstanbul