Time Series Trend Analysis of Temperature and Rainfall Using Mann-Kendall Method: A Study of Vadodara City, Gujarat, India
Janak P Joshi *
VSCDL Vadodara, India.
Bindu Bhatt
b Department of Geography, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara Gujarat, India.
*Author to whom correspondence should be addressed.
Abstract
Aims: This study aimed to quantify the variability of monthly temperature and precipitation patterns on a local scale within Vadodara city, Gujarat, India.
Study Design and Data: A retrospective analysis was employed, utilizing historical weather data encompassing a 37-year period from 1981 to 2017 for Vadodara city. The data included monthly minimum and maximum temperatures (TMIN and TMAX) alongside monthly precipitation totals.
Methodology: Non-parametric statistical techniques were implemented to analyze the trends within the temperature and precipitation data. The Mann-Kendall (MK) test was employed to identify statistically significant trends, while Sen's slope estimator was utilized to quantify the magnitude of any trends detected.
Results: The analysis revealed a possible increasing trend in minimum temperature records over the study period, with a positive correlation coefficient (R²) of 0.04. Regarding precipitation, a trend towards increasing rainfall was observed in the month of July (R² = 0.03), while June exhibited a trend towards decreasing rainfall (R² = 0.008).
Keywords: Time series, trend, mann-kendall, sen’s slope, temperature and rainfall
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References
Aditya F, Gusmayanti E, Sudrajat J. Rainfall trend analysis using Mann–Kendall and Sen’s slope estimator test in West Kalimantan. In IOP Conference Series: Earth and Environmental Science (Vol. 893). IOP Publishing Ltd; 2021.
Dodman D, et al. Climate change 2022: Impacts, adaptation and vulnerability. In H. Pörtner et al. (Eds.), climate change 2022: Impacts, Adaptation and Vulnerability. Cambridge University Press. 2022;907–1040.
Hari V, Dharmasthala S, Koppa A, Karmakar S, Kumar R. Climate hazards are threatening vulnerable migrants in Indian megacities. Nature Climate Change. 2021;11:636–638.
Intergovernmental Panel on Climate Change (IPCC). Climate change 1996: Impacts, adaptations and mitigation of climate change: Scientific-technical analyses. Contribution of Working Group II to the Second Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press; 1996.
IPCC. Summary for policymakers: Synthesis report. Climate change 2023 synthesis report. Contribution of working groups I, II and III to the sixth assessment report. Intergovernmental Panel on Climate Change. 2023;1–34.
Singh O, Arya P, Chaudhary BS. On rising temperature trends at dehradun in doon valley of Uttarakhand, India. Journal of Earth System Science. 2013;122:613–622.
Modarres R, Da Silva VP. Rainfall trends in arid and semi-arid regions of Iran. Journal of Arid Environments. 2007;70:344–355.
Kumar R, Gautam HR. Climate change and its impact on agricultural productivity in India. Journal of Climatology and Weather Forecasting. 2014;2:109.
Ragatoa DS, Ogunjobi KO, Okhimamhe AA, Francis SD, Adet L. A trend analysis of temperature in selected stations in Nigeria using three different approaches. Open Access Library Journal. 2018;5:e4371.
Available:https://doi.org/10.4236/oalib.1104371
Gajbhiye S, Meshram C, Singh SK, Srivastava PK, Islam T. Precipitation trend analysis of Sindh River basin, India, from 102-year record (1901-2002). Atmospheric Science Letters. 2016;17:71–77.
Available:https://doi.org/10.1002/asl.624
Barsugli J, Anderson C, Smith J, Vogel J. Options for improving climate modeling to assist water utility planning for climate change. Clearwater, FL, USA: Water Utility Climate Alliance; 2009.
Brekke LD. Climate change and water resources management: A federal perspective. Darby, PA, USA: DIANE Publishing; 2009.
Gadedjisso-Tossou A, Adjegan KI, Kablan AKM. Rainfall and temperature trend analysis by mann–kendall test and significance for rainfed cereal yields in northern Togo. Sci. 2021;3(1):17. Available:https://doi.org/10.3390/sci3010017
Joshi JP, Bhatt B. Estimating temporal land surface temperature using remote sensing: A study of Vadodara Urban Area, Gujarat. International Journal of Geology, Earth and Environmental Science. 2012;2(1).
Yaduvanshi A, Srivastava PK, Pandey A. Integrating TRMM and MODIS satellite with socio-economic vulnerability for monitoring drought risk over a tropical region of India. Physics and Chemistry of the Earth, Parts A/B/C; 2015.
Available:https://doi.org/10.1016/j.pce.2015.01.006
Srivastava PK, Islam T, Gupta M, Petropoulos G, Dai Q. WRF dynamical downscaling and bias correction schemes for NCEP estimated hydro-meteorological variables. Water Resources Management. 2015;29(7):2267–2284.
Singh O, Arya P, Chaudhary BS. Quantifying urban sprawl: A case study of Vadodara Taluka. GeoScience Research. 2011;2(1):34–37.
Suresh Kumar Sharma, Durga Prasad Sharma, Manoj Kumar Sharma, Kiran Gaur, Pratibha Manohar. Trend analysis of temperature and rainfall of Rajasthan, India. Journal of Probability and Statistics. 2021;2021, Article ID 6296709, 7 pages. Available:https://doi.org/10.1155/2021/6296709
Kakkar A, Rai PK, Mishra VN, Singh P. Decadal trend analysis of rainfall patterns of past 115 years & its impact on Sikkim, India. Remote Sensing Applications: Society and Environment. 2022; 26:100738.
Kudnar NS, Diwate P, Mishra VN. Spatio-temporal variability and trend analysis of rainfall in Wainganga river basin, Central India, and forecasting using state-space models. Theoretical and Applied Climatology. 2022;150:469–488. Available:https://doi.org/10.1007/s00704-022-04168-4
Chauhan AS, Singh S, Maurya RKS, Rani A, Danodia A. Spatio-temporal and trend analysis of rain days having different intensity from 1901–2020 at regional scale in Haryana, India. Research in Geophysics Sciences. 2022;10,Article 100041. Available:https://doi.org/10.1016/j.ringps.2022.100041
Mehta P, Jangra MS, Bhardwaj SK, Paul S. Variability and time series trend analysis of rainfall in the mid-hill sub humid zone: A case study of Nauni. Environmental Science and Pollution Research. 2022;29:80466–80476.
Available:https://doi.org/10.1007/s11356-022-21507-
Kharake A, Pathare J, Deshmukh P. Spatio-temporal variability of intra-monsoonal rainfall in PravaraMula River Basin India. Arabian Journal of Geosciences. 2021;14:890.
Samanth A, Rakesh V, Purwar S, Gavaskar SM, Pai JB, Mohapatra GN. Analysis of spatio-temporal variability in observed rainfall over Karnataka using different data analytical techniques. Journal of Earth System Science. 2022;131:66.
Saini A. et al. Advanced rainfall trend analysis of 117 years over west coast plain and hill agro-climatic region of India. Atmosphere (Basel). 2020;11:1–25.
Yue S, Pilon P, Phinney B. Canadian streamflow trend detection: Impacts of serial and cross-correlation. Hydrological Sciences Journal. 2003;48 (1):51–64.
Kendall MG. Rank correlation methods. London, U.K.: Charles Griffin and Co. Ltd; 1975.
Ray Kamaljit, Mohanty M, Chincholikar JR. Climate variability over Gujarat, India. In ISPRS Archives XXXVIII-8/W3 Workshop Proceedings: Impact of Climate Change on Agriculture. 2009;38-43.
Kumar N, Panchal CC, Chandrawanshi SK, Thanki JD. Analysis of rainfall by using Mann-Kendall trend, Sen’s slope and variability at five districts of south Gujarat, India. MAUSAM. 2017;68,2(Apr. 2017): 205–222.
Available:https://doi.org/10.54302/mausam.v68i2.604
Hirsch RM, Slack JR, Smith RA. Techniques of trend analysis for monthly water quality data. Water Resources Research. 1982;18:107–121.
Kendall MG. Rank correlation measures; Charles Griffin: London, UK; 1975.
Burn DH, Hag Elnur MA. Detection of hydrologic trends and variability. Journal of Hydrology. 2002;255:107–122.
Yue S, Pilon P, Cavadias G. Power of the mann–kendall and spearman’s rho test for detecting monotonic trends in hydrological series. Journal of Hydrology. 2002;259: 254–271.
Suryavanshi S, Panday A, Chaube UC, Joshi N. Long term historic changes in climatic variables of Betla Basin, India. Theoretical and Applied Climatology. 2014;117:403–418.
Sen PK. Estimates of the regression coefficient based on Kendall's tau. Journal of the American Statistical Association. 1968;63(324):1379–1389.
Kendall MG. Time Series. London, U.K.: Charles Griffin and Co. Ltd; 1973.
Mann HB. Non-parametric tests against trend. Econometrica. 1973;13:245–259.
Jiqin H, Gelata FT, Chaka Gemeda S. Application of MK trend and test of Sen's slope estimator to measure impact of climate change on the adoption of conservation agriculture in Ethiopia. Journal of Water and Climate Change. 2023 Mar 1;14(3):977-88.