Abstract
In the era of global urbanization, the cities across the world are experiencing significant change in the climate pattern. However, analysing the trend and pattern of rainfall over the urban areas has a number of challenges such as availability of long-term data as well as the uneven distribution of rain-gauge stations. In this research, the rainfall regionalization approach has been applied along with the advanced statistical techniques for analysing the trend and pattern of rainfall in the Delhi metropolitan city. Fuzzy C-means and K-means clustering techniques have been applied for the identification of homogeneous rainfall regions while innovative trend analysis (ITA) along with the family of Mann–Kendall (MK) tests has been applied for the trend analysis of rainfall. The result shows that in all rain-gauge stations of Delhi, an increasing trend in rainfall has been recorded during 1991–2018. But the rate of increase was low as the trend slope of ITA and Sen’s slope in MK tests are low, which varies between 0.03 and 0.05 and 0.01 and 0.16, respectively. Furthermore, none of the rain-gauge stations have experienced a monotonic trend in rainfall as the null hypothesis has not been rejected (p value > 0.05) for any stations. Furthermore, the study shows that ITA has a better performance than the family of MK tests. The findings of this study may be utilized for the urban flood mitigation and solving other issues related to water resources in Delhi and other cities.











Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Data availability
The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.
References
Ahmed IA, Salam R, Naikoo MW, Rahman A, Praveen B, Hoai PN., ..., ElkhrachyI (2022) Evaluating the variability in long-term rainfall over India with advanced statistical techniques. Acta Geophysica 70:801–818
Ajaaj AA, Mishra AK, Khan AA (2018) Urban and peri-urban precipitation and air temperature trends in mega cities of the world using multiple trend analysis methods. Theoret Appl Climatol 132(1):403–418
Allan RP, Soden BJ (2008) Atmospheric warming and the amplification of precipitation extremes. Science 321(5895):1481–1484
AlSubih M, Kumari M, Mallick J, Ramakrishnan R, Islam S, Singh CK (2021) Time series trend analysis of rainfall in last five decades and its quantification in Aseer Region of Saudi Arabia. Arab J Geosci 14(6):1–15
Anderson RL (1942) Distribution of the serial correlation coefficient. Ann Math Stat 13(1):1–13
Awan JA, Bae DH, Kim KJ (2015) Identification and trend analysis of homogeneous rainfall zones over the East Asia monsoon region. Int J Climatol 35(7):1422–1433
Azam M, Maeng SJ, Kim HS, Lee SW, Lee JE (2018) Spatial and temporal trend analysis of precipitation and drought in South Korea. Water 10(6):765
Bai X, McPhearson T, Cleugh H, Nagendra H, Tong X, Zhu T, Zhu YG (2017) Linking urbanization and the environment: conceptual and empirical advances. Annu Rev Environ Resour 42:215–240
Bezdek JC, Ehrlich R, Full W (1984) FCM: the fuzzy c-means clustering algorithm. Comput Geosci 10(2–3):191–203
Bherwani H, Singh A, Kumar R (2020) Assessment methods of urban microclimate and its parameters: a critical review to take the research from lab to land. Urban Climate 34:100690
Brunet G, Golding B, Jung T, Gordon N, Goesslig H, Vitart F., ... Ruti P (2015) The World Weather Research Programme: a 10-year vision. WMO Bull 64(1):16–19
Caloiero T, Aristodemo F, Algieri Ferraro D (2019) Trend analysis of significant wave height and energy period in southern Italy. Theoret Appl Climatol 138(1):917–930
Carter JG, Cavan G, Connelly A, Guy S, Handley J, Kazmierczak A (2015) Climate change and the city: building capacity for urban adaptation. Prog Plan 95:1–66
Chang C, Li Y, Chen Y, Huang JJ, Zhang Y (2021) Advanced statistical analyses of urbanization impacts on heavy rainfall in the Beijing metropolitan area. Urban Climate 40:100987
Chaudhuri G, Mainali KP, Mishra NB (2022) Analyzing the dynamics of urbanization in Delhi National Capital Region in India using satellite image time-series analysis. Environment and Planning B: Urban Analytics and City Science 49(1):368–384
de Oliveira-JúniorJF, Correia Filho WLF, da Silva Monteiro L, Shah M, Hafeez A, de Gois, G., ... da Silva EB (2022) Urban rainfall in the Capitals of Brazil: variability, trend, and wavelet analysis. Atmos Res 267:105984
De Sherbinin A, Schiller A, Pulsipher A (2007) The vulnerability of global cities to climate hazards. Environ Urban 19(1):39–64
Dunn JC (1973) A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters. J Cybern 3(3):32–57
Ergun SJ, Khan MU, Rivas MF (2021) Factors affecting climate change concern in Pakistan: are there rural/urban differences? Environ Sci Pollut Res 28(26):34553–34569
Gedefaw M, Wang H, Yan D, Song X, Yan D, Dong G., ... Qin T (2018) Trend analysis of climatic and hydrological variables in the Awash river basin, Ethiopia. Water 10(11):1554
Goyal MK, Gupta V (2014) Identification of homogeneous rainfall regimes in Northeast Region of India using fuzzy cluster analysis. Water Resour Manage 28(13):4491–4511
Hamed KH, Rao AR (1998) A modified Mann-Kendall trend test for autocorrelated data. J Hydrol 204(1–4):182–196
Hand LM, Shepherd JM (2009) An investigation of warm-season spatial rainfall variability in Oklahoma City: possible linkages to urbanization and prevailing wind. J Appl Meteorol Climatol 48(2):251–269
Hazarika J, Sarma AK (2021) Importance of regional rainfall data in homogeneous clustering of data-sparse areas: a study in the upper Brahmaputra valley region. Theoret Appl Climatol 145(3):1161–1175
Horton RE (1921) Thunderstorm-breeding spots. Mon Weather Rev 49(4):193–193
Islam T, Md AR, Rahman M, Khatun R, Hu Z (2020) Spatiotemporal trends in the frequency of daily rainfall in Bangladesh during 1975–2017. Theoret Appl Climatol 141(3):869–887
Kaufmann RK, Seto KC, Schneider A, Liu Z, Zhou L, Wang W (2007) Climate response to rapid urban growth: evidence of a human-induced precipitation deficit. J Clim 20(10):2299–2306
Kendall MG (1975) Rank correlation methods, 4th edn. Charles Griffin, London, UK
Khan Shahid, Hussain Ijaz, Rahman Ataur (2022) Identification of homogeneous rainfall regions in New South Wales, Australia. Tellus A: Dynamic Meteorology and Oceanography 73(1):1–11
Kharol SK, Kaskaoutis DG, Sharma AR, Singh RP (2013) Long-term (1951–2007) rainfall trends around six Indian cities: current state, meteorological, and urban dynamics. Adv Meteorol 2013:572954
Kishtawal CM, Niyogi D, Tewari M, Pielke RA Sr, Shepherd JM (2010) Urbanization signature in the observed heavy rainfall climatology over India. Int J Climatol 30(13):1908–1916
Kumari M, Singh CK, Bakimchandra O, Basistha A (2017) Geographically weighted regression based quantification of rainfall–topography relationship and rainfall gradient in Central Himalayas. Int J Climatol 37(3):1299–1309
Leyk S, Uhl JH, Connor DS, Braswell AE, Mietkiewicz N, Balch JK, Gutmann M (2020) Two centuries of settlement and urban development in the United States. Sci Adv 6(23):eaba2937
Li XX, Koh TY, Panda J, Norford LK (2016) Impact of urbanization patterns on the local climate of a tropical city, Singapore: an ensemble study. J Geophys Res: Atmospheres 121(9):4386–4403
Liu J, Niyogi D (2019) Meta-analysis of urbanization impact on rainfall modification. Sci Rep 9(1):1–14
Liu J, Schlünzen KH, Frisius T, Tian Z (2021) Effects of urbanization on precipitation in Beijing. Phys Chem Earth, Parts a/b/c 122:103005
Mair A, Fares A (2011) Comparison of rainfall interpolation methods in a mountainous region of a tropical island. J Hydrol Eng 16(4):371–383
Malik A, Kumar A, Guhathakurta P, Kisi O (2019) Spatial-temporal trend analysis of seasonal and annual rainfall (1966–2015) using innovative trend analysis method with significance test. Arab J Geosci 12(10):1–23
Malik S, Pal SC, Sattar A, Singh SK, Das B, Chakrabortty R, Mohammad P (2020) Trend of extreme rainfall events using suitable Global Circulation Model to combat the water logging condition in Kolkata Metropolitan Area. Urban Climate 32:100599
Mallick J, Talukdar S, Alsubih M, Salam R, Ahmed M, Kahla NB, Shamimuzzaman M (2021) Analysing the trend of rainfall in Asir region of Saudi Arabia using the family of Mann-Kendall tests, innovative trend analysis, and detrended fluctuation analysis. Theoret Appl Climatol 143(1):823–841
Mallick J, Talukdar S, Almesfer MK, Alsubih M, Ahmed M, Islam ARM (2022) Identification of rainfall homogenous regions in Saudi Arabia for experimenting and improving trend detection techniques. Environ Sci Pollut Res 29:25112–25137
Mann HB (1945) Non-parametric tests against trend. Econometrica 13:163–171
Masson V, Lemonsu A, Hidalgo J, Voogt J (2020) Urban climates and climate change. Annu Rev Environ Resour 45:411–444
Mishra AK (2013) Effect of rain gauge density over the accuracy of rainfall: a case study over Bangalore. India Springerplus 2(1):1–7
Mohammad P, Goswami A (2021) Quantifying diurnal and seasonal variation of surface urban heat island intensity and its associated determinants across different climatic zones over Indian cities. Gisci Remote Sens 58(7):955–981
Mzava P, Valimba P, Nobert J (2020) Characterizing past and future trend and frequency of extreme rainfall in urban catchments: a case study. H2Open J 3(1):288–305
Nisansala WDS, Abeysingha NS, Islam A, Bandara AMKR (2020) Recent rainfall trend over Sri Lanka (1987–2017). Int J Climatol 40(7):3417–3435
Pai DS, Rajeevan M, Sreejith OP, Mukhopadhyay B, Satbha NS (2014) Development of a new high spatial resolution (0.25× 0.25) long period (1901–2010) daily gridded rainfall data set over India and its comparison with existing data sets over the region. Mausam 65(1):1–18
Perera A, Ranasinghe T, Gunathilake M, Rathnayake U (2020) Comparison of different analyzing techniques in identifying rainfall trends for Colombo, Sri Lanka. Adv Meteorol
Pielke Sr RA, Adegoke J, BeltraáN-Przekurat A, Hiemstra CA, Lin J, Nair US, Niyogi D, Nobis TE (2007) An overview of regional land-use and land-cover impacts on rainfall. Tellus B: Chem Phys Meteorol 59(3):587–601
Praveen B, Talukdar S, Mahato S, Mondal J, Sharma P, Islam ARM, Rahman A (2020) Analyzing trend and forecasting of rainfall changes in India using non-parametrical and machine learning approaches. Sci Rep 10(1):1–21
Qian Y, Chakraborty TC, Li J, Li D, He C, Sarangi C, Chen F, Yang X, Leung LR (2022) Urbanization impact on regional climate and extreme weather: current understanding, uncertainties, and future research directions. Adv Atmos Sci 39:819–860
Rahman A, Netzband M, Alka S, Javed M (2009). An assessment of urban environmental issues using remote sensing and GIS techniques an integrated approach: a case study: Delhi, India. International Cooperation in National Research in Demography (CICRED), Paris, 181–211.
Rahman MS, Islam ARMT (2019) Are precipitation concentration and intensity changing in Bangladesh overtimes? Analysis of the possible causes of changes in precipitation systems. Sci Total Environ 690:370–387
Ramaiah M, Avtar R (2019) Urban green spaces and their need in cities of rapidly urbanizing India: a review. Urban Science 3(3):94
Rana A, Uvo CB, Bengtsson L, ParthSarthi P (2012) Trend analysis for rainfall in Delhi and Mumbai. India Clim Dyn 38(1):45–56
Reder A, Raffa M, Padulano R, Rianna G, Mercogliano P (2022) Characterizing extreme values of precipitation at very high resolution: an experiment over twenty European cities. Weather Clim Extremes 35:100407
Rousseeuw PJ (1987) Silhouettes: a graphical aid to the interpretation and validation of cluster analysis. J Comput Appl Math 20:53–65
Ryu YH, Baik JJ (2012) Quantitative analysis of factors contributing to urban heat island intensity. J Appl Meteorol Climatol 51(5):842–854
Samaras P, Kungolos A, Karakasidis T, Georgiou D, Perakis K (2001) Statistical evaluation of PCDD/F emission data during solid waste combustion by fuzzy clustering techniques. J Environ Sci Health, Part A 36(2):153–161
Sathish S, Chanu S, Sadath R, Elango L (2022) Impacts of regional climate model projected rainfall, sea level rise, and urbanization on a coastal aquifer. Environ Sci Pollut Res 29:33305–33322
Şen Z (2012) Innovative trend analysis methodology. J Hydrol Eng 17(9):1042–1046
Shahfahad, Kumari B, Tayyab M, Hang HT, Khan MF, Rahman A (2019) Assessment of public open spaces (POS) and landscape quality based on per capita POS index in Delhi, India. SN Appl Sci 1(4):1–13
Shahfahad, Naikoo MW, Islam ARMT, Mallick J, Rahman A (2022) Land use/land cover change and its impact on surface urban heat island and urban thermal comfort in a metropolitan city. Urban Clim 41:101052
Singh J, Karmakar S, PaiMazumder D, Ghosh S, Niyogi D (2020) Urbanization alters rainfall extremes over the contiguous United States. Environ Res Lett 15(7):074033
Tang Y, Gan J, Zhao L, Gao K (2006) On the climatology of persistent heavy rainfall events in China. Adv Atmos Sci 23(5):678–692
Tuholske C, Caylor K, Funk C, Verdin A, Sweeney S, Grace K, ... Evans T (2021) Global urban population exposure to extreme heat. Proc Natl Acad Sci 118(41):1–9
Wang F, Shao W, Yu H, Kan G, He X, Zhang D, ... Wang G (2020) Re-evaluation of the power of the mann-kendall test for detecting monotonic trends in hydrometeorological time series. Front Earth Sci 8:14
Wong PP (2020) A microclimate study of traffic and pedestrianization scenarios in a densely populated urban city. Adv Meteorol 2020:8741049
Wu H, Qian H (2017) Innovative trend analysis of annual and seasonal rainfall and extreme values in Shaanxi, China, since the 1950s. Int J Climatol 37(5):2582–2592
Yang P, Ren G, Yan P, Deng J (2021) Urbanization reduces frequency of light rain: an example from Beijing City. Theoret Appl Climatol 145(1):763–774
Yildirim G, Rahman A (2022) Homogeneity and trend analysis of rainfall and droughts over Southeast Australia. Nat Hazards 112:1657–1683
Yue S, Wang CY (2002) Applicability of prewhitening to eliminate the influence of serial correlation on the Mann-Kendall test. Water Resour Res 38(6):4–1
Yue S, Wang C (2004) The Mann-Kendall test modified by effective sample size to detect trend in serially correlated hydrological series. Water Resour Manage 18(3):201–218
Yue S, Pilon P, Phinney BOB (2003) Canadian streamflow trend detection: impacts of serial and cross-correlation. Hydrol Sci J 48(1):51–63
Zou X, Ren F (2015) Changes in regional heavy rainfall events in China during 1961–2012. Adv Atmos Sci 32(5):704–714
Acknowledgements
The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Research Group under grant number RGP2/169/43. The lead author is thankful to the University Grant Commission (UGC), India, for availing the senior research fellowship during this research. The authors are also thankful to the anonymous reviewers for their constructive comments which helped to improve the article significantly.
Author information
Authors and Affiliations
Contributions
S and ST designed the study and were responsible for the data collection as well as analysis of the data and wrote the initial draft; TD and MWN was responsible for the data analysis, data curation and modelling as well as editing of the initial draft; ARMTI and JM helped in the data preparation as well as provided technical support; AR supervised the project as well as reviewed the manuscript.
Corresponding author
Ethics declarations
Ethics approval
Not applicable.
Consent to participate
Not applicable.
Consent for publication
All authors have read the manuscript and agreed to publish the manuscript.
Conflict of interest
The authors declare no competing interests.
Additional information
Responsible Editor: Marcus Schulz
Publisher's note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Shahfahad, Talukdar, S., Islam, A.R.M.T. et al. Application of advanced trend analysis techniques with clustering approach for analysing rainfall trend and identification of homogenous rainfall regions in Delhi metropolitan city. Environ Sci Pollut Res 30, 106898–106916 (2023). https://doi.org/10.1007/s11356-022-22235-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11356-022-22235-1