Abstract
Climate change, resulting from anthropogenic activities, poses a substantial global challenge, inducing discernible shifts in hydro-climatic variables such as temperature, precipitation, river discharge, and extreme weather events. Its implications extend to India’s natural resources and agricultural sectors. This research rigorously examines the long-term spatial and temporal changes in rainfall patterns in Bihar, India, utilising high-resolution daily rainfall gridded data from the India Meteorological Department, which includes data from a total of 133 grid points. Coefficient variation analysis reveals low monsoon and annual rainfall variability but substantial variations in the pre-monsoon, post-monsoon, and winter seasons, indicating pronounced changes in Bihar’s precipitation patterns. Trend analysis offers nuanced insights, using Modified Mann–Kendall (MMK) and Innovative Trend Analysis (ITA). Pre-monsoon rainfall exhibits a statistically significant increasing trend (Z = 3.252), with an annual increment of 0.748 mm. In contrast, a persistent decline characterises monsoon (Z = − 0.598), post-monsoon (Z = − 0.112), winter (Z = − 0.297), and annual (Z = − 0.219) precipitation patterns over 72 years. Change point analysis identifies pivotal shifts in 1982 (annual), 2007 (monsoon), 2012 (pre-monsoon), 1954 (post-monsoon), and 1997 (winter). Spatial–temporal analysis indicates regional shifts post-1982, with maximum annual rainfall significantly decreasing from 2769 to 2453 mm. The findings underscore the necessity to reassess water resource management, employing diverse analytical approaches for robust climate adaptation, resource planning, and disaster preparedness. This research enhances the scientific understanding of long-term climate dynamics, offering insights into sustainable practices in Bihar’s agriculture and environmental ecosystems.










Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.Data availability
All pertinent data may be accessed from an online repository (https://www.imdpune.gov.in/).
References
Abrol I, Gupta R (2019) Climate change-land degradation-food security nexus: addressing India’s challenge. J Agron Res 2(2):17–35. https://doi.org/10.14302/issn.2639-3166.jar-19-3015
Agarwal T, Goel PA, Gartaula H, Rai M, Bijarniya D, Rahut DB, Jat ML (2022) Gendered impacts of climate-smart agriculture on household food security and labor migration: insights from Bihar, India. International J Clim Chang Strateg Manag 14(1):1–19. https://doi.org/10.1108/IJCCSM-01-2020-0004
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):519. https://doi.org/10.1007/s12517-021-06935-5
Ampofo S, Annor T, Aryee JNA, Atiah WA, Amekudzi LK (2023) Long-term spatio-temporal variability and change in rainfall over Ghana (1960–2015). Sci Afri 19. https://doi.org/10.1016/j.sciaf.2023.e01588
Asfaw A, Simane B, Hassen A, Bantider A (2018) Variability and time series trend analysis of rainfall and temperature in northcentral Ethiopia: a case study in Woleka sub-basin. Weather Clim Extremes 19:29–41. https://doi.org/10.1016/j.wace.2017.12.002
Banerjee A, Chen R, Meadows E, M., Singh, R. B., Mal, S., & Sengupta, D. (2020) An analysis of long-term rainfall trends and variability in the Uttarakhand Himalaya using Google Earth Engine. Remote Sens 12(4):709. https://doi.org/10.3390/rs12040709
Bharti V, Singh C, Ettema J, Turkington TAR (2016) Spatiotemporal characteristics of extreme rainfall events over the Northwest Himalaya using satellite data. Int J Climatol 36(12):3949–3962. https://doi.org/10.1002/joc.4605
Chakraborty S, Pandey RP, Chaube UC, Mishra SK (2013) Trend and variability analysis of rainfall series at Seonath River Basin, Chhattisgarh (India). Int J Appl Sci Eng Res 2(4)
Chandniha SK, Meshram SG, Adamowski JF, Meshram C (2017) Trend analysis of precipitation in Jharkhand State, India: investigating precipitation variability in Jharkhand State. Theoret Appl Climatol 130(1–2):261–274. https://doi.org/10.1007/s00704-016-1875-x
Devi JP, Mahanta C, Barua A (2023) Analysis of non-parametric trend and climatic parameter homogeneity tests in a data-scarce region: a spatio-temporal perspective in the Tawang River basin. Eastern Himalayas Theoretical and Applied Climatology 151(3–4):1051–1078. https://doi.org/10.1007/s00704-022-04320-0
Dhorde AG, Zarenistanak M (2013) Three-way approach to test data homogeneity: an analysis of temperature and precipitation series over southwestern Islamic Republic of Iran. J Ind Geophys Union 17(3):233–242
El Kasri J, Lahmili A, Soussi H, Jaouda I, Bentaher M (2021) Trend analysis of meteorological variables: rainfall and temperature. Civil Eng J (Iran) 7(11):1868–1879. https://doi.org/10.28991/cej-2021-03091765
Gupta V, Jain MK, Singh PK, Singh V (2020) An assessment of global satellite-based precipitation datasets in capturing precipitation extremes: a comparison with observed precipitation dataset in India. Int J Climatol 40(8):3667–3688. https://doi.org/10.1002/joc.6419
Gupta N, Mahato PK, Patel J, Omar PJ, Tripathi RP (2022) Understanding trend and its variability of rainfall and temperature over Patna (Bihar) (pp. 533–543). https://doi.org/10.1016/B978-0-323-91910-4.00030-3
Gururani DM, Singh S, Joshi H, Kumar Y, Kumar A, Bohra MS, Mehta P (2023) Assessment of groundwater prospects zones using RS, GIS, and MIF methods. In: Pande CB, Kumar M, Kushwaha NL (eds) Surface and groundwater resources development and management in semi-arid region: strategies and solutions for sustainable water management. Cham, Springer International Publishing, pp 317–335. https://doi.org/10.1007/978-3-031-29394-8_17
IPCC (2021) Climate Change 2021: The Physical Science Basis
Katzenberger A, Schewe J, Pongratz J, Levermann A (2021) Robust increase of Indian monsoon rainfall and its variability under future warming in CMIP6 models. Earth Syst Dyn 12(2):367–386. https://doi.org/10.5194/esd-12-367-2021
Kendall M (1975) Rank correlation techniques. Charles Griffen
Krishnan A, Bhaskaran PK, Kumar P (2022) Extreme wind-wave climate projections for the Indian Ocean under changing climate scenarios. Clim Dyn 59(3–4):649–669. https://doi.org/10.1007/s00382-022-06147-x
Kumar A, Mohanasundari T (2024) Assessing district-level climate vulnerability in Madhya Pradesh, Central India: an integrated environmental and socio-economic approach. Theoret Appl Climatol. https://doi.org/10.1007/s00704-023-04814-5
Kumar R, Raj Gautam H (2014) Climate change and its impact on agricultural productivity in India. J Climatol Weather Forecast 2(1). https://doi.org/10.4172/2332-2594.1000109
Kumar A, Shriyan D (2024) Caste of marginality and migration in Bihar. Indian J Hum Dev 18(1):76–89. https://doi.org/10.1177/09737030241239513
Kumar V, Jain SK, Singh Y (2010) Analysis of long-term rainfall trends in India. Hydrol Sci J 55(4):484–496. https://doi.org/10.1080/02626667.2010.481373
Kumar A, Kumar S, Rautela KS, Kumari A, Shekhar S, Thangavel M (2023a) Exploring temperature dynamics in Madhya Pradesh: a spatial-temporal analysis. Environ Monit Assess 195(11):1313. https://doi.org/10.1007/s10661-023-11884-5
Kumar A, Kumar S, Rautela KS, Shekhar S, Ray T, Thangavel M (2023b) Assessing seasonal variation and trends in rainfall patterns of Madhya Pradesh, Central India. J Water Clim Chang 14(10):3692–3712. https://doi.org/10.2166/wcc.2023.280
Kumar S, Ahmed SA, Karkala J (2023c) Time series data and rainfall pattern subjected to climate change using non-parametric tests over a vulnerable region of Karnataka, India. J Water Clim Chang 14(5):1532–1550. https://doi.org/10.2166/wcc.2023.441
Kumar U, Singh DK, Panday SC, Bisht JK, Kant L (2023d) Spatio-temporal trend and change detection of rainfall for Kosi River basin, Uttarakhand using long-term (115 years) gridded data. Arabian J Geosci 16(3). https://doi.org/10.1007/s12517-023-11244-0
Kumar A, Kumar A, Mann K, Mohanasundari T (2024a) Analysing district-level climate vulnerability pattern in Madhya Pradesh, India, based on agricultural and socio-economic indicators. Environ Monit Assess 196(6):528. https://doi.org/10.1007/s10661-024-12646-7
Kumar A, Ray T, Mohanasundari T (2024b) Exploring climatic dynamics in Madhya Pradesh, India Utilizing Long-Term Gridded Data (1951–2021): an integrated statistical and GIS modules. In: Yadav AK, Yadav K, Singh VP (eds) Integrated management of water resources in India: a computational approach. Water Science and Technology (Vol. 129, pp. 3–21). Springer, Cham. https://doi.org/10.1007/978-3-031-62079-9_1
Kuniyal JC, Kanwar N, Bhoj AS, Rautela KS, Joshi P, Kumar K, Sofi MS, Bhat SU, Rashid I, Lodhi MS, Devi ChA, Singh HB (2021) Climate change impacts on glacier-fed and non-glacier-fed ecosystems of the Indian Himalayan Region: people’s perception and adaptive strategies. Curr Sci 120(5):888–899
Lal P, Shekhar A, Kumar A (2021) Quantifying temperature and precipitation change caused by land cover change: a case study of India using the WRF model. Front Environ Sci 9. https://doi.org/10.3389/fenvs.2021.766328
Machiwal D, Dayal D, Kumar S (2017) Long-term rainfall trends and change points in hot and cold arid regions of India. Hydrol Sci J 62(7):1050–1066. https://doi.org/10.1080/02626667.2017.1303705
Mallick J, Talukdar S, Alsubih M, Salam R, Ahmed M, Kahla NB, Shamimuzzaman Md (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(1–2):823–841. https://doi.org/10.1007/s00704-020-03448-1
Mallick J, Talukdar S, Almesfer MK, Alsubih M, Ahmed M, Islam ARMdT (2022) Identification of rainfall homogenous regions in Saudi Arabia for experimenting and improving trend detection techniques. Environ Sci Pollut Res 29(17):25112–25137. https://doi.org/10.1007/s11356-021-17609-w
Mann HB (1945) Nonparametric tests against trend. Econometrica 13(3):245. https://doi.org/10.2307/1907187
Mohammad Zakwan Khan I, Ara Z, Rahim ZA, Sharief SMV (2019) Trend analysis of rainfall in Bihar. National Conference on Water Resources Management (WRM2019)
Nadeau KC, Agache I, Jutel M, Annesi Maesano I, Akdis M, Sampath V, D’Amato G, Cecchi L, Traidl-Hoffmann C, Akdis CA (2022) Climate change: a call to action for the United Nations. Allergy 77(4):1087–1090. https://doi.org/10.1111/all.15079
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. https://doi.org/10.54302/mausam.v65i1.851
Pal I, Al-Tabbaa A (2011) Assessing seasonal precipitation trends in India using parametric and non-parametric statistical techniques. Theoret Appl Climatol 103(1):1–11. https://doi.org/10.1007/s00704-010-0277-8
Pandey RP, Ramasastri KS (2001) Relationship between the common climatic parameters and average drought frequency. Hydrol Process 15(6):1019–1032. https://doi.org/10.1002/hyp.187
Rai SK, Singh KA (2009) Rainfall variability and probability for crop planning at Madhepura in Bihar. J Agrometeorol 11(1):42–46. https://doi.org/10.54386/jam.v11i1.1221
Rautela KS, Kuniyal JC, Alam MA, Bhoj AS, Kanwar N (2022) Assessment of daily streamflow, sediment fluxes, and erosion rate of a pro-glacial stream Basin, Central Himalaya, Uttarakhand. Water, Air, and Soil Pollution 233(4). https://doi.org/10.1007/s11270-022-05567-z
Raza A, Razzaq A, Mehmood S, Zou X, Zhang X, Lv Y, Xu J (2019) Impact of climate change on crops adaptation and strategies to tackle its outcome: a review. Plants 8(2):34. https://doi.org/10.3390/plants8020034
Roshani S, H., Saha, T. K., Rahaman, M. H., Masroor, M., Sharma, Y., & Pal, S. (2023) Analyzing trend and forecast of rainfall and temperature in Valmiki Tiger Reserve, India, using non-parametric test and random forest machine learning algorithm. Acta Geophys 71(1):531–552. https://doi.org/10.1007/s11600-022-00978-2
Saikh NI, Saha S, Sarkar D, Mondal P (2023) Rainfall trend and variability analysis of the past 119 (1901–2019) years using statistical techniques: a case study of Kolkata, India. MAUSAM 74(4):1093–1112. https://doi.org/10.54302/mausam.v74i4.5909
Sam AS, Padmaja SS, Kächele H, Kumar R, Müller K (2020) Climate change, drought and rural communities: understanding people’s perceptions and adaptations in rural eastern India. Int J Disaster Risk Reduction 44:101436. https://doi.org/10.1016/j.ijdrr.2019.101436
Saravanakumar V, Lohano HD, Balasubramanian R (2022) A district-level analysis for measuring the effects of climate change on production of rice: evidence from Southern India. Theoret Appl Climatol 150(3–4):941–953. https://doi.org/10.1007/s00704-022-04198-y
Sarkar A, Saha S, Sarkar D, Mondal P (2021a) Variability and trend analysis of the rainfall of the past 119 (1901–2019) years using statistical techniques: a case study of Uttar Dinajpur. India J Clim Chang 7(2):49–61. https://doi.org/10.3233/JCC210011
Sarkar D, Sarkar T, Saha S, Mondal P (2021b) Compiling non-parametric tests along with CA-ANN model for precipitation trends and variability analysis: a case study of Eastern India. Water Cycle 2:71–84. https://doi.org/10.1016/j.watcyc.2021.11.002
Sen P (1968) Estimates of the regression coefficient based on Kendall’s Tau. J Am Stat Assoc 63:1379–1389
Şen Z (2012) Innovative trend analysis methodology. J Hydrol Eng 17(9):1042–1046. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000556
Sengupta A, Thangavel M (2023) Analysis of the effects of climate change on cotton production in Maharashtra state of India using statistical model and GIS mapping. Caraka Tani: J Sustain Agric 38(1):152–162. https://doi.org/10.20961/carakatani.v38i1.64377
Shah NV, Patel YS, DBhangaonkar, P. (2021) Assessing impact of climate change on rainfall patterns of Vadodara District, Gujarat. India J Phys: Conf Ser 1714(1):012046. https://doi.org/10.1088/1742-6596/1714/1/012046
Shahfahad T, S., Islam, A. R. Md. T., Das, T., Naikoo, M. W., Mallick, J., & Rahman, A. (2022) 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(49):106898–106916. https://doi.org/10.1007/s11356-022-22235-1
Sharma MR, Priya S (2023) Long-term assessment of precipitation behaviour in Bihar (1901–2021): patterns, trends and observed variability. Curr World Environ 18(2):662–673. https://doi.org/10.12944/CWE.18.2.19
Sheffield J, Wood EF, Roderick ML (2012) Little change in global drought over the past 60 years. Nature 491(7424):435–438. https://doi.org/10.1038/nature11575
Shree S, Kumar M (2018) Analysis of seasonal and annual rainfall trends for Ranchi district, Jharkhand, India. Environ Earth Sci 77(19). https://doi.org/10.1007/s12665-018-7884-6
Singh S, Kumar A (2024) Understanding the intricacies of rainfall dynamics using entropy measures. J Water Clim Chang 15(9):4817–4839. https://doi.org/10.2166/wcc.2024.350
Singh S, Kumar D (2021) Investigation of rainfall variability of the southern part of Uttarakhand using entropy theory. Indian J Soil Conserv 49(2):83–88
Singh D, Ghosh S, Roxy MK, McDermid S (2019) Indian summer monsoon: extreme events, historical changes, and role of anthropogenic forcings. WIREs Clim Chang 10(2). https://doi.org/10.1002/wcc.571
Singh S, Kumar D, Kumar A, Kuriqi A (2023a) Entropy-based assessment of climate dynamics with varying elevations for hilly areas of Uttarakhand. India Sustain Water Resour Manag 9(4):130. https://doi.org/10.1007/s40899-023-00914-2
Singh S, Kumar N, Goyal MK, Jha S (2023b) Relative influence of ENSO, IOD, and AMO over spatiotemporal variability of hydroclimatic extremes in Narmada basin, India. AQUA — Water Infrastruct, Ecosystems Soc 72(4):520–539. https://doi.org/10.2166/aqua.2023.219
Singh S, Goyal MK, Jha S (2023c) Role of large-scale climate oscillations in precipitation extremes associated with atmospheric rivers: nonstationary framework. Hydrol Sci J 68(3):395–411. https://doi.org/10.1080/02626667.2022.2159412
Singh S, Kumar D, Vishwakarma DK, Kumar R, Kushwaha NL (2024a) Seasonal rainfall pattern using coupled neural network-wavelet technique of southern Uttarakhand. India Theor Appl Climatol 155(6):5185–5201. https://doi.org/10.1007/s00704-024-04940-8
Singh S, Goyal MK, Saikumar E (2024b) Assessing climate vulnerability of ramsar wetlands through CMIP6 projections. Water Resour Manage 38:1381–1395. https://doi.org/10.1007/s11269-023-03726-3
Singla C, Aggarwal R, Kaur S, Sharma R (2023) Analysis of meteorological parameter changes using Mann-Kendall statistical tests in Indian Punjab. Mausam 74(1):207–213. https://doi.org/10.54302/mausam.v74i1.1440
Theil H (1950) A rank-invariant method of linear and polynomial regression analysis I and II. In Indagationes Mathematicae: Vol. LIII
Trenberth KE, Dai A, Van Der Schrier G, Jones PD, Barichivich J, Briffa KR, Sheffield J (2014) Global warming and changes in drought. Nature Clim Change 4(1):17–22. https://doi.org/10.1038/nclimate2067
Wijngaard JB, Klein Tank AMG, Können GP (2003) Homogeneity of 20th century European daily temperature and precipitation series. Int J Climatol 23(6):679–692. https://doi.org/10.1002/joc.906
Yadav M, Singh V (2023) Long-term climatic trends in rainfall pattern analysis over Madhya Pradesh. Int J Geogr, Geol Environ 5(1):32–43. https://doi.org/10.22271/27067483.2023.v5.i1a.139
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. https://doi.org/10.1023/B:WARM.0000043140.61082.60
Zakwan M, Ara Z (2019) Statistical analysis of rainfall in Bihar. Sustain Water Resour Manag 5(4):1781–1789. https://doi.org/10.1007/s40899-019-00340-3
Zarenistanak M, Dhorde AG, Kripalani RH (2014) Trend analysis and change point detection of annual and seasonal precipitation and temperature series over southwest Iran. J Earth Syst Sci 123(2):281–295
Author information
Authors and Affiliations
Contributions
Amit Kumar: Conceptualisation, Data collection, Data analysis, Methodology, and Original draft writing.
Thangavel Mohanasundari: Supervision, Visualisation, Conceptualization, Methodology, and Final manuscript review.
Both the authors read and approved the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Consent for publication
Not applicable.
Consent to participate
Not applicable.
Ethical approval
Both authors have read, understood, and have complied as applicable with the statement on “Ethical responsibilities of Authors” as found in the Instructions for Authors.
Additional information
Responsible Editor: Philippe Garrigues
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 (e.g. a society or other partner) 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
Kumar, A., Thangavel, M. Unravelling the dynamics of rainfall patterns in Bihar, India: A comprehensive spatiotemporal analysis. Environ Sci Pollut Res 32, 8564–8584 (2025). https://doi.org/10.1007/s11356-025-36243-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11356-025-36243-4