The interannual variability in Indian summer monsoon rainfall (ISMR) results from numerous multi-scale interrelated phenomena. Using reconstructed rainfall data from 1813–2020 for 20 river basins in India, the research reveals substantial decline in the Ganga, Brahmaputra, Cauvery, Brahmani, Pallar & Ponniyar ranging 6.6–19.7%, and notable increase of 7.9% in Surma in past two decades compared to last century. Despite significant regional disparities, a modest increase of 1.3% in ISMR is observed over 101 years, indicating long-term stability. Spectral analysis highlights dominance of short-term fluctuations (75%) in interannual variability. The evolving relationships between rainfall and global climatic indices are underscored. The Southern Oscillation Index (SOI), Arctic Oscillation (AO), Niño3.4 and Pacific Decadal Oscillation (PDO) are most influential indices across basins, mostly show stronger relationship in June and September compared to July and August. Over time, AO and SOI maintained significant positive relationship and Niño3.4 inverse relationship with ISMR while, the AO-ISMR link weakened post-1980s indicating shift in traditional teleconnections with climate change. Northern and eastern basins, exhibit strong correlations with the warming over eastern and central Afro-Asian highlands, while southern basins influenced by equatorial climate dynamics. The findings emphasize the need for region-specific model predictions and localized adaptive water management strategies.

  • Short-term fluctuations drive 75% of interannual rainfall variability in Indian river basins.

  • River basin rainfall shows stronger links to climatic indices in June and September than in July and August.

  • The Arctic Oscillation's influence on Indian summer monsoon rainfall has weakened in recent years.

  • The distinct tropospheric warming over the Subtropical Asian Highlands shapes spatio-temporal rainfall variability across India.

Asymmetric global warming has emerged as a defining challenge that fundamentally alters the hydrological cycle, disturbing the spatio-temporal distribution of rainfall and hence threatening water resources worldwide. This disruption has cascading effects on agricultural productivity, water availability, and disaster risk, especially in monsoon-dominated regions such as India. The Intergovernmental Panel on Climate Change (IPCC 2021) projects a significant increase in South Asian monsoon variability and a 7% intensification of extreme rainfall with each 1 °C rise in global temperature. These changes heighten the risks of floods and droughts, intensifying the challenges of water resource management in a warming climate, particularly in regions like India where monsoons play a crucial role in agriculture, hydrology, and overall socio-economic stability. Several studies have highlighted a broad spectrum of impacts driven by global warming, with regional variations in rainfall trends (Arnell 1999; Milly et al. 2005; Lau & Wu 2007; Bates et al. 2008, and many more). For instance, significant decreases in annual and seasonal rainfall have been reported in parts of central and north India (Duhan & Pandey 2013; Pingale et al. 2014; Mathew et al. 2021). Praveen et al. (2020) found a significant decreasing trend in seven subdivisions between 1901 and 2015, and Sahoo & Yadav (2022) documented that in the north Indian homogeneous zone. Some regions in the south and west have experienced upward trends in precipitation during specific seasons. Nageswararao et al. (2019) discovered an increase in northeast monsoon rainfall over the southern peninsula between 1959 and 2016, while Chowdari et al. (2023) documented that in post-monsoon rainfall in 11 districts of Karnataka. Earlier, Singh & Ranade (2010) discussed the effects of climatic changes on the wet and dry spell characteristics, suggesting a potential shift in monsoon dynamics.

Studies on river basins reveal a complex and varied impact of changing rainfall patterns over time, reflecting the nuanced effects of climate change and regional variability. Ranade et al. (2008) observed no significant long-term trends but highlighted a diminishing trend in wet-season rainfall across some major basins in Central India. In a broader analysis, Kumar & Jain (2011) reported a decreasing trend in rainfall across 15 river basins over 135 years. Contrastingly, Jain et al. (2017) found an increasing trend in the number of rainy days in the Cauvery, Brahmani, and Baitarani basins between 1951 and 2012. Deka et al. (2013) documented a significant decline in monsoon and post-monsoon rainfall in northeast India's Brahmaputra and Barak basins between 1901 and 2010, while Taxak et al. (2014) identified an 8.4% overall decline in annual rainfall within the Wainganga basin from 1901 to 2012. Additional studies reveal decreasing trends in the Satluj basin during 1984–2010 (Kumar et al. 2015), the Ganga basin during 1901–2000 (Gajbhiye et al. 2016), and the Kosi basin during 1901–2000 (Srivastava et al. 2021). However, peninsular rivers present a contrasting picture, showing increasing rainfall variability (Varikoden et al. 2020). This heterogeneous and often contradictory nature of rainfall trends underscores the critical need for long-term, multiscale studies that examine regional and basin-specific dynamics to better understand and manage the evolving challenges posed by climate variability and its impact on water resources.

Spectral analysis has played a significant role in deciphering Indian summer monsoon rainfall (ISMR) variability, revealing dominant oscillations across various time scales. Early work by Murakami (1977) identified prominent 5- and 15-day peaks in the ISMR spectrum, laying a foundation for subsequent studies. Rangarajan (1994) further highlighted the dominance of the first two harmonics in explaining homogeneous ISMR variability. Expanding on these findings, Vijayakumar & Kulkarni (1995) revealed significant periodic variations in monsoon rainfall across 29 subdivisions, with cycles spanning 2–23 years and 3–3.9 years. Using advanced multichannel singular spectrum analysis (SSA), Krishnamurthy & Shukla (2007) identified 45- and 20-day oscillations, along with three seasonally persistent components, emphasizing the multi-scale nature of ISMR variability. Joshi & Pandey (2011) delved deeper, uncovering rainfall cycles lasting 10–20, 20–30, 30–40, and 40–50 days across four Indian subregions. These periodicities are intricately tied to interannual variability, influenced by changes in mean atmospheric circulation and modulated by the coupled ocean-atmosphere system, including factors such as sea surface temperatures, snow cover, and unpredictable intra-seasonal dynamics (Krishnamurthy & Shukla 2000).

Global climatic indices such as the El Niño Southern Oscillation (ENSO), Indian Ocean Dipole (IOD), and Pacific Decadal Oscillation (PDO) play a pivotal role in significantly modulating rainfall variability. ENSO, for example, generally exhibits an inverse relationship with ISMR although this link has weakened in recent decades due to the interaction with other factors such as sea surface temperature (SST) anomalies in the Indian Ocean, the IOD, and the PDO (Krishnamurthy & Krishnamurthy 2014; Kucharski & Abid 2017; Kurths et al. 2019). Notably, the warm phase of the PDO correlates with reduced monsoon rainfall, with dry conditions intensifying when coupled with El Niño events, while cold PDO phases and La Niña years are linked to wetter monsoons (Krishnan & Sugi 2003).

Beyond the Pacific, the Atlantic Multidecadal Oscillation (AMO) has emerged as another key player, with its warm phase associated with enhanced monsoon activity over India (Luo et al. 2018). Similarly, the Antarctic Oscillation (AAO) positively impacts Indian rainfall by intensifying cross-equatorial flows during its positive phase (Huang et al. 2021). The Arctic Oscillation (AO) also influences the North Indian monsoon, modulating the Rossby wave structure and interacting with Eurasian snow cover and land-sea thermal gradients (Coumou et al. 2018). Meanwhile, the North Atlantic Oscillation (NAO) has a strong correlation with peak monsoon rainfall, and tropical north and south Atlantic warming (TNA and TSA) affects the monsoon by altering the structure and intensity of the Intertropical Convergence Zone (Kuchaarski et al. 2008; Xavier et al. 2018). These multifaceted interactions underscore the complexity of global teleconnections in shaping Indian monsoon variability.

Despite these advances, existing research often focuses on specific regions, short-term periods, or isolated climatic indices, resulting in fragmented insights into the long-term impacts of global warming on rainfall variability across India. A comprehensive, long-term analysis, based on consistent fixed rain gauge station observations, is still lacking, leaving critical gaps in understanding rainfall patterns and their implications for water resource management at a national scale. While existing studies have established important links between global climatic indices – such as ENSO and IOD – and rainfall variability, these analyses predominantly target ISMR trends or specific subregions, overlooking the nuanced impacts at the river basin level. Studies have demonstrated that global climatic indices strongly affect the magnitude and frequency of annual and seasonal peak flows (Gurrapu et al. 2016, 2023). However, efforts to directly link these indices to peak flow events often neglect their intermediate relationships with basin-specific rainfall patterns, introducing uncertainties and reducing the reliability of predictions. Research, investigating the influence of global teleconnection patterns on rainfall across India's diverse river basins over an extended period, is scarce, creating challenges for effective hydrological and flood management planning. This gap limits the development of holistic strategies for water resource management, hydrological planning, and climate adaptation.

Intra-seasonal and inter-annual monsoon rainfall fluctuations are profoundly influenced by monsoon circulation intricately tied to global temperature distribution that drives summer rainfall across the Asia-Indo-Pacific region. The core of the monsoon circulation is located over subtropical Asia (the Tibet-Himalaya-Middle East sector), characterized by the warmest-thickest troposphere, lowest pressure, and largest zonally oriented upper tropospheric anticyclonic circulation. The air converges into the monsoon trough and adjacent areas near the Tibetan Plateau, rises and accumulates at upper levels over subtropical Asia, disperses through anticyclonic circulation, subsides over subtropical and polar highs, and eventually returns from the lower layers of highs and converges into the monsoon regime, completing the circulation cycle (Ranade & Singh 2014). Our previous studies have shown that during boreal summer, a warmer and thicker troposphere over the eastern hemispheric north subtropics strengthens monsoon circulation, often leading to above-average rainfall across extensive regions of India (Ranade & Singh 2019, 2021). Meteorological analyses consistently highlight an east-west oscillation in the Tibetan anticyclone core during the summer monsoon. These patterns raise critical questions about how global temperature variations may modulate monsoon circulation and, in turn, influence the spatio-temporal distribution of rainfall across India.

By integrating the above perspectives, this paper aims to address the gaps in understanding long-term rainfall trends by conducting a comprehensive analysis of the longest available (1813–2020) instrumental basin-scale rainfall series developed from 316 fixed rain gauge station observations. The study investigates evolving rainfall patterns, their relationship with global teleconnection indices, and the broader implications of global warming. The key objectives of the study are as follows:

  • 1. To uncover long-term trends and spatio-temporal variability in annual and monsoon rainfall of 11 major and nine independent minor basins, as well as the West Coast Drainage System (WCDS) in India using the longest instrumental rainfall series.

  • 2. To investigate the influence of global climatic indices on rainfall variability at the river basin scale and analyze the evolving relationships between them under the influence of global warming.

  • 3. To understand the impact of global tropospheric warming on rainfall distribution and variability of each river basin.

Thus, the paper explores the broader implications of integrated long-term basin-scale rainfall trends, recent shifts and evolving connections with global climatic indices and global warming contributing to improved water resource management and climate adaptation strategies. It is expected that the study results represent critical insights into region-specific dynamics and their implications for hydrological systems vital for fostering sustainable water resource management, improving disaster resilience, and shaping targeted climate-informed policies and adaptation strategies in a rapidly warming world.

Data collection

The longest instrumental area-averaged monthly rainfall dataset of 11 major and 36 minor river basins is available earliest from 1813 to 2000 (Sontakke & Singh 1996; Sontakke et al. 2008). In this dataset, the river basins are classified into major and minor basins based on the classification by Rao (1975) and ‘National Atlas for Thematic Mapping Organization (NATMO 1996). Twenty-seven of the 36 minor basins are sub-basins of five major basins, such as the Indus (3), the Ganga (13), the Brahmaputra (3), the Godavari (5) and the Krishna (3). The Sabarmati, the Mahi, the Narmada, the Tapi, the Mahanadi and the Cauvery are the major basins without any distinct minor basin. It also includes nine independent minor basins, the WCDS (combined catchment area of 25 small rivers originating in the Sahayadri Range), and the country as a whole. The data span from 1813 to 2000 and are prepared in two phases. In the first phase, the dataset for the period 1901–2000 was developed using the simple arithmetic mean of all available gauges in each basin using data from 316 fixed well-spread rain gauge stations obtained from the India Meteorological Department (IMD) (Mooley & Parthasarathy 1984). In the second phase, the dataset was extended backwards from 1900 to 1813 with the starting year varying for each basin. A theoretically vindicated numerical method was used on the limited available observations (Sontakke & Singh 1996). All reconstructions were made considering 1901–2000 as the reference period.

In this study, we have used the longest instrumental area-averaged monthly rainfall series for 11 major and nine independent minor basins in India (Figure 1), the earliest available from 1813 to 2000. The starting year of the dataset varies from one basin to another (Table 2). The dataset has been updated from 2001 to 2020 using a 1 × 1° gridded daily rainfall dataset obtained from the IMD (https://imdpune.gov.in/lrfindex.php) due to inadequate availability of all 316 station datasets after 2001 onwards. The details about the methodology for the updation of the existing area-averaged rainfall data series are given in in a subsequent section.
Figure 1

Boundary of the 11 major and nine independent minor river basins and location of 316 rain gauge stations.

Figure 1

Boundary of the 11 major and nine independent minor river basins and location of 316 rain gauge stations.

Close modal

The study also used the longest available datasets for 10 different global climatic indices from five major areas surrounding the Indian subcontinent, as given in Table 1. The longest data series is for NAO (197 years), succeeded by PDO (167 years), AMO (165 years), and AO (164 years), while the shortest records are for TNA and TSA (73 years). The monthly temperature and geopotential height dataset of standard isobaric levels (1,000–250 hPa) across the globe at 2.5° resolution for the period 1949–2020 from the National Centers for Environmental Prediction – National Center for Atmospheric Research (NCEP-NCAR) reanalysis (Kalnay et al. 1996) also used to quantify the tropospheric warming over the northern subtropical belt.

Table 1

Dataset availability and source of 10 selected global climatic indices

AreaClimatic IndexPeriodSource
North and Tropical Pacific PDO 1854–2020 https://www.ncei.noaa.gov/pub/data/cmb/ersst/v5/index/ersst.v5.pdo.dat 
Southern Oscillation Index (SOI) 1866–2020 https://crudata.uea.ac.uk/cru/data/soi/soi.dat 
Niño 3.4 SST 1870–2020 https://psl.noaa.gov/gcos_wgsp/Timeseries/Data/nino34.long.data 
North and Tropical Atlantic NAO 1824–2020 https://crudata.uea.ac.uk/cru/data/nao/nao.dat 
Atlantic multi-decadal oscillation (AMO) 1856–2020 https://psl.noaa.gov/data/correlation/amon.us.long.data 
Tropical north Atlantic Index (TNA) 1948–2020 https://psl.noaa.gov/data/correlation/tna.data 
Indian Ocean DMI 1870–2020 https://psl.noaa.gov/gcos_wgsp/Timeseries/Data/dmi.had.long.data 
Eurasian land and northern hemisphere AO 1851–2014 http://www.esrl.noaa.gov/psd/data/20thC_Rean/timeseries/monthly/AO/ 
Southern hemisphere Tropical South Atlantic Index (TSA) 1948–2020 https://psl.noaa.gov/data/correlation/tsa.data 
Antarctic Oscillation Index (AAO) 1871–2012 https://psl.noaa.gov/data/20thC_Rean/timeseries/monthly/AAO/ 
AreaClimatic IndexPeriodSource
North and Tropical Pacific PDO 1854–2020 https://www.ncei.noaa.gov/pub/data/cmb/ersst/v5/index/ersst.v5.pdo.dat 
Southern Oscillation Index (SOI) 1866–2020 https://crudata.uea.ac.uk/cru/data/soi/soi.dat 
Niño 3.4 SST 1870–2020 https://psl.noaa.gov/gcos_wgsp/Timeseries/Data/nino34.long.data 
North and Tropical Atlantic NAO 1824–2020 https://crudata.uea.ac.uk/cru/data/nao/nao.dat 
Atlantic multi-decadal oscillation (AMO) 1856–2020 https://psl.noaa.gov/data/correlation/amon.us.long.data 
Tropical north Atlantic Index (TNA) 1948–2020 https://psl.noaa.gov/data/correlation/tna.data 
Indian Ocean DMI 1870–2020 https://psl.noaa.gov/gcos_wgsp/Timeseries/Data/dmi.had.long.data 
Eurasian land and northern hemisphere AO 1851–2014 http://www.esrl.noaa.gov/psd/data/20thC_Rean/timeseries/monthly/AO/ 
Southern hemisphere Tropical South Atlantic Index (TSA) 1948–2020 https://psl.noaa.gov/data/correlation/tsa.data 
Antarctic Oscillation Index (AAO) 1871–2012 https://psl.noaa.gov/data/20thC_Rean/timeseries/monthly/AAO/ 
Table 2

Basic statistical parameters of annual (monsoon) rainfall of 11 major and 9 independent minor river basins for the period 1901–2000 (SD: standard deviation; CV: coefficient of variation)

Sr. No.Basin nameNo. of rain gaugesStart yearMean (mm)Median (mm)SD (±mm)CV (%)Highest (mm)Lowest (mm)
 Major basins 
1. Indus 19 1844 860.4 (619.5) 825.1 (606.5) 172.0 (164.7) 20.0 (26.6) 1,399.5 (1091.9) 508.4 (248.7) 
2. Ganga 131 1829 1,083.5 (919.1) 1,090.7 (941.6) 125.8 (110.7) 11.6 (12.0) 1,405.5 (1,165.0) 807.5 (602.4) 
3. Brahmaputra 11 1848 2,478.3 (1,706.6) 2,483.3 (1,684.9) 237.1 (181.1) 9.6 (10.6) 3,161.6 (2,291.4) 1,979.2 (1359.3) 
4. Godavari 22 1826 1,068.3 (901.7) 1,059.0 (870.8) 167.5 (146.3) 15.7 (16.2) 1,433.4 (1,208.1) 604.0 (541.6) 
5. Krishna 25 1826 825.7 (581.4) 821.1 (575.3) 122.5 (101.9) 14.8 (17.5) 1,116.4 (831.3) 555.7 (311.2) 
6. Sabarmati 1861 742.8 (708.3) 725.0 (698.2) 269.1 (264.1) 36.2 (37.3) 1,622.9 (1,579.8) 248.9 (194.9) 
7. Mahi 1857 825.4 (772.4) 831.6 (794.1) 225.4 (218.4) 27.3 (28.3) 1,433.3 (1254.4) 383.7 (333.6) 
8. Narmada 1844 1,107.3 (997.2) 1,081.9 (985.0) 199.1 (182.7) 18.0 (18.3) 1,588.7 (1,530.9) 727.0 (587.4) 
Tapi 1859 894.4 (781.8) 881.1 (782.1) 183.3 (172.3) 20.5 (22.0) 1,323.9 (1,197.5) 457.0 (353.4) 
10. Mahanadi 11 1848 1,410.4 (1,185.4) 1,397.1 (1,190.9) 202.2 (175.9) 14.3 (14.8) 1,915.8 (1,642.3) 942.3 (754.1) 
11. Cauvery 13 1830 1,265.5 (767.0) 1,268.6 (761.9) 152.1 (114.7) 12.0 (15.0) 1,739.7 (1,139.0) 926.4 (399.9) 
 Independent minor basins 
12. Luni 1856 487.7 (445.4) 464.7 (434.8) 182.2 (170.8) 37.4 (38.3) 1,097.7 (871.0) 167.5 (123.3) 
13. Surma 1849 2,519.5 (1,586.7) 2,498.5 (1,571.3) 306.1 (222.3) 12.1 (14.0) 3,352.5 (2,188.1) 1,835.2 (1,149.3) 
14. Kasai 1931 1,442.6 (1,114.2) 1,427.7 (1,130.2) 242.7 (189.4) 16.8 (17.0) 2,046.6 (1,584.8) 963.2 (758.0) 
15. Damodar 11 1829 1,473.4 (1,123.3) 1,448.8 (1,087.6) 222.5 (176.0) 15.1 (15.7) 2,080.8 (1,596.3) 978.1 (724.2) 
16. Suvarnarekha 1848 1,509.5 (1,146.7) 1,483.1 (1,123.7) 214.7 (163.4) 14.2 (14.3) 2,083.0 (1,578.0) 1,080.2 (842.7) 
17. Brahmani 1871 1,434.3 (1,140.2) 1,439.7 (1,129.6) 205.6 (183.1) 14.3 (16.1) 1,930.7 (1,597.1) 1,008.5 (646.3) 
18. Pennar 1813 870.2 (368.2) 839.7 (347.4) 170.8 (94.5) 19.6 (25.7) 1,328.5 (675.2) 469.8 (187.5) 
19. Pallar & Ponniyar 1853 1,194.4 (434.3) 1,179.4 (408.4) 266.7 (108.5) 22.3 (25.0) 1,916.5 (752.1) 650.5 (237.0) 
20. Vaigai 1846 904.2 (255.3) 903.4 (252.0) 144.3 (65.9) 16.0 (25.8) 1,245.4 (453.9) 590.9 (96.8) 
 Other         
21. WCDS 21 1817 2,528.5 (1,957.0) 2,527.5 (1,940.7) 284.4 (273.3) 11.2 (14.0) 3,340.6 (2,645.0) 1,857.7 (994.9) 
22. All India 316 1813 1,165.9 (906.5) 1,177.1 (919.4) 106.2 (88.3) 9.1 (9.7) 1,435.3 (1,088.8) 895.7 (661.3) 
Sr. No.Basin nameNo. of rain gaugesStart yearMean (mm)Median (mm)SD (±mm)CV (%)Highest (mm)Lowest (mm)
 Major basins 
1. Indus 19 1844 860.4 (619.5) 825.1 (606.5) 172.0 (164.7) 20.0 (26.6) 1,399.5 (1091.9) 508.4 (248.7) 
2. Ganga 131 1829 1,083.5 (919.1) 1,090.7 (941.6) 125.8 (110.7) 11.6 (12.0) 1,405.5 (1,165.0) 807.5 (602.4) 
3. Brahmaputra 11 1848 2,478.3 (1,706.6) 2,483.3 (1,684.9) 237.1 (181.1) 9.6 (10.6) 3,161.6 (2,291.4) 1,979.2 (1359.3) 
4. Godavari 22 1826 1,068.3 (901.7) 1,059.0 (870.8) 167.5 (146.3) 15.7 (16.2) 1,433.4 (1,208.1) 604.0 (541.6) 
5. Krishna 25 1826 825.7 (581.4) 821.1 (575.3) 122.5 (101.9) 14.8 (17.5) 1,116.4 (831.3) 555.7 (311.2) 
6. Sabarmati 1861 742.8 (708.3) 725.0 (698.2) 269.1 (264.1) 36.2 (37.3) 1,622.9 (1,579.8) 248.9 (194.9) 
7. Mahi 1857 825.4 (772.4) 831.6 (794.1) 225.4 (218.4) 27.3 (28.3) 1,433.3 (1254.4) 383.7 (333.6) 
8. Narmada 1844 1,107.3 (997.2) 1,081.9 (985.0) 199.1 (182.7) 18.0 (18.3) 1,588.7 (1,530.9) 727.0 (587.4) 
Tapi 1859 894.4 (781.8) 881.1 (782.1) 183.3 (172.3) 20.5 (22.0) 1,323.9 (1,197.5) 457.0 (353.4) 
10. Mahanadi 11 1848 1,410.4 (1,185.4) 1,397.1 (1,190.9) 202.2 (175.9) 14.3 (14.8) 1,915.8 (1,642.3) 942.3 (754.1) 
11. Cauvery 13 1830 1,265.5 (767.0) 1,268.6 (761.9) 152.1 (114.7) 12.0 (15.0) 1,739.7 (1,139.0) 926.4 (399.9) 
 Independent minor basins 
12. Luni 1856 487.7 (445.4) 464.7 (434.8) 182.2 (170.8) 37.4 (38.3) 1,097.7 (871.0) 167.5 (123.3) 
13. Surma 1849 2,519.5 (1,586.7) 2,498.5 (1,571.3) 306.1 (222.3) 12.1 (14.0) 3,352.5 (2,188.1) 1,835.2 (1,149.3) 
14. Kasai 1931 1,442.6 (1,114.2) 1,427.7 (1,130.2) 242.7 (189.4) 16.8 (17.0) 2,046.6 (1,584.8) 963.2 (758.0) 
15. Damodar 11 1829 1,473.4 (1,123.3) 1,448.8 (1,087.6) 222.5 (176.0) 15.1 (15.7) 2,080.8 (1,596.3) 978.1 (724.2) 
16. Suvarnarekha 1848 1,509.5 (1,146.7) 1,483.1 (1,123.7) 214.7 (163.4) 14.2 (14.3) 2,083.0 (1,578.0) 1,080.2 (842.7) 
17. Brahmani 1871 1,434.3 (1,140.2) 1,439.7 (1,129.6) 205.6 (183.1) 14.3 (16.1) 1,930.7 (1,597.1) 1,008.5 (646.3) 
18. Pennar 1813 870.2 (368.2) 839.7 (347.4) 170.8 (94.5) 19.6 (25.7) 1,328.5 (675.2) 469.8 (187.5) 
19. Pallar & Ponniyar 1853 1,194.4 (434.3) 1,179.4 (408.4) 266.7 (108.5) 22.3 (25.0) 1,916.5 (752.1) 650.5 (237.0) 
20. Vaigai 1846 904.2 (255.3) 903.4 (252.0) 144.3 (65.9) 16.0 (25.8) 1,245.4 (453.9) 590.9 (96.8) 
 Other         
21. WCDS 21 1817 2,528.5 (1,957.0) 2,527.5 (1,940.7) 284.4 (273.3) 11.2 (14.0) 3,340.6 (2,645.0) 1,857.7 (994.9) 
22. All India 316 1813 1,165.9 (906.5) 1,177.1 (919.4) 106.2 (88.3) 9.1 (9.7) 1,435.3 (1,088.8) 895.7 (661.3) 

The updation of the longest instrumental rainfall series

The longest instrumental area-averaged monthly rainfall datasets were updated for the period 2001–2020 using the ratio method suggested by Rainbird (1967) and approved by the World Meteorological Organization (WMO), as per the following steps.

  • (i) For updating the basin-scale series, each station value in a particular basin boundary was extracted from the corresponding location value of the grid from the 1 × 1° gridded rainfall dataset for the period 1951–2020.

  • (ii) The area-averaged new dataset for the period 1951–2020 is prepared for all river basins and All India by the simple arithmetic mean of selected grid values within the basin boundary.

  • (iii) The ratio between new and old rainfall values for each month was calculated for the common base period between the two datasets, i.e. 1951 and 2000.

  • (iv) The new dataset from the years 2001–2020 is then updated by dividing individual month rainfall by the average of the ratio for the corresponding month calculated from the base period.

Methodology and statistical tests

To study the interannual variability of long-term rainfall in Indian river basins and assess its relationship with global climatic signals, several statistical techniques were applied. Figure 2 presents the detailed methodology used for the timeseries analysis of basin-scale rainfall. To visualize and highlight the long-term trends/epochal patterns, data were smoothed using a nine-point filter and categorized using quintiles. Student's t-test was employed in order to determine the significance of recent 20-year changes in the rainfall. Systematic deviations or trends are assessed using Crammer's tk test applied over 15, 31, 51 and 101 year running means. This flexible windowing approach enables us to detect changes on different time scales, from decadal to century-long trends. In order to revel the cyclic components and contribution of different frequencies in the time series classical harmonic analysis was performed. In order to get insights into how climatic signals and tropospheric warming may influence these interannual variabilities and trends, 31-term running correlation and spatial correlation analyses were performed. More details about the tests are given in the following (WMO 1966).
  • Nine-point low-pass Gaussian filter: This filter helps to smooth rainfall data by eliminating high-frequency components and revealing more consistent low-frequency variations. The filter weights (0.244, ±0.201, ±0.117, ±0.047, and ±0.013) were derived from the Gaussian function, which is a natural and commonly occurring distribution. The filtered dataset set smooth out short-term fluctuations and is helpful to visualize any long-term trend or dry/wet epochs.

  • Quintile analysis: They were used to categorize annual rainfall data into five equal categories, each with a 20% probability of occurrence. The quintiles served as a threshold to categorize rainfall of a particular year as very dry, moderately dry, normal, moderately wet or very wet. This categorization is essential for understanding variations across the full study period and identifying extreme rainfall years.

  • Student's t-test: It was employed to determine the significance of differences between two sub-period means. This test is particularly useful for comparing rainfall trends in recent decades (e.g., the last 20 years) with the long-term record. If a and b are the two sub-periods with n1 and n2 datapoints, then the t-test is conducted using the following formula.
  • Cramers' tk statistics: It was applied to identify systematic deviations or trends in the rainfall data by comparing the means of sub-periods with the overall mean. The method helps detect changes in climatic patterns over time. The analysis was performed using running means with window sizes of 15, 31, 51, and 101 years to capture short-term, medium-term, and long-term trends. The tk statistics are calculated as shown in the following equation.
    where is the mean of sub-period n observations; is the mean of total N observations; S is the standard deviation of total observations.
  • Classical harmonic analysis: This was conducted by transforming the rainfall time series into sine and cosine waveforms. Each waveform represents a harmonic with a specific wavelength that is an integer multiple of the total number of data points (N). The number of these waves depends on the total length of the time series. The Fourier coefficients derived from this analysis were used to calculate the variance (or power) of each harmonic. The total variance in the data can be explained by the sum of the variances of these different waveforms. This method helps to reveal cyclical patterns and the contribution of different frequencies to the overall variability. The mathematical details for calculating the Fourier coefficients and variances are outlined in Singh et al. (2002).

Figure 2

Flowchart of methodology followed to study the basin-scale interannual rainfall variability and its relationship with global climatic factors and tropospheric warming.

Figure 2

Flowchart of methodology followed to study the basin-scale interannual rainfall variability and its relationship with global climatic factors and tropospheric warming.

Close modal

Chief statistical and fluctuation features of annual and seasonal rainfall

Area-averaged annual and monsoon (June through September: JJAS) rainfall series for all river basins, WCDS and All India has been developed and analyzed. Table 2 documents the basic statistical parameters calculated for the period 1901–2000 for annual and monsoon rainfall, respectively. Normally, (1901–2000) the mean annual rainfall of all major river basins varies from 742.8 (±269.1 mm) over Sabarmati to 2,528.5 (±284.4 mm) over WCDS. The coefficient of variation of the annual rainfall varies from 9.6% (Brahmaputra) to 36.2% (Sabarmati). The year-wise highest rainfall varied between 1,116.4 mm (Krishna) and 3,161.6 mm (Brahmaputra). All India gets 1,165.9(±106.2 mm) rainfall annually with the highest rainfall of 1,435.3 mm during the year 1917 and the lowest rainfall of 895.7 mm during the year 1918. For independent minor basins, the statistics is given in Table 2. The mean (1901–2000) monsoon rainfall of the major river basins varies from 581.4 (±101.9 mm) over Krishna to 1,706.6 (±181.1 mm) over Brahmaputra basin. Normally, WCDS receives 1,957.0 (±273.3 mm) rainfall in a year. The coefficient of variation of the monsoon rainfall varies from 12% (Ganga) to 37.3% (Sabarmati). The highest monsoon rainfall across the basins varied between 831.3 mm (Krishna) and 2,291.4 mm (Brahmaputra), while that of the lowest from 194.9 mm (Sabarmati) to 1,359.3 mm (Brahmaputra). Normally, All India gets 906.5 (±88.3 mm) rainfall during monsoon season with 9.7% of coefficient of variation (CV). During the period the highest rainfall was 1,088.8 mm during the year 1961 and the lowest was 661.3 mm during the year 1918. For independent minor basins, the statistics are given in Table 2.

The average distribution of rainfall throughout the river basins shows that the annual/monsoon rainfall of them is greatly influenced by their geographical locations, altitude, topography, proximity to the sea, the influence of global climatic patterns, onset and duration of southwest and northeast monsoon, extreme rain events and local microclimate. It is evident that basins nearer the coasts such as Mahanadi, Damodar, Suvarnarekha, Kasai, and so on, typically experience heavier rainfall because of oceanic factors like the abundance of moisture, interplay between ocean currents and wind patterns that influences the monsoon activity. The northeast monsoon and oceanic impact are responsible for high rainfall amounts in basins such as Cauvery and Pallar and Ponnaiyar. The rainfall amount in Indus, Ganga, Narmada, and so on is influenced by topography. A combination of oceanic and geographic factors results in extremely high rainfall in some basins such as Brahmaputra, Surma and WCDS.

Long-term interannual variability in basin-scale rainfall

To analyze the distinct periods of variability in the longest rainfall series, a nine-point filtering method is applied to annual, seasonal, and monthly rainfall data. The smooth series shows many aperiodic fluctuations of low-frequency and epochs of either persistent wet or dry conditions relative to the usual climate. In order to visualize the year-to-year changes in rainfall patterns, rainfall for each year is classified into five categories based on quintile thresholds derived from the 1901 to 2000 data. In the All India monsoon rainfall series, rainfall below 833 mm is deemed very dry, between 834 and 893 mm moderately dry, 894–945 mm normal, 946–980 mm as moderately wet, and above 980 mm very wet. The filtered rainfall series and the categorized rainfall distribution combinedly reveal interannual variations of seasonal rainfall in detail. The categorized and smoothed All India monsoon rainfall data from 1813 to 2020 are depicted in Figure 3, while Figure 4 presents the interannual variation for the major river basins. The 208-year rainfall series of ISMR reveals distinct periods of variability. Since 1813, there have been two wet epochs (1870–1896 and 1932–1999) and three dry epochs (1813–1869, 1897–1914, and prevailing 2000–2020) were observed, while the 1915–1931 epoch was fluctuating. In line with the prevailing dry epoch over All India monsoon rainfall, many river basins like the Indus, Ganga, Brahmaputra, Godavari, Mahanadi, Cauvery, Damodar, Suvarnarekha, Brahmani, Pallar & Ponniyar, and Vaigai basins also experience a dry epoch, while a wet phase continues in the Krishna, Sabarmati, Mahi, WCDS, Luni, Surma, and Pennar basins in the recent period. The Narmada, Tapi, and Kasai basins exhibit alternating patterns.
Figure 3

Interannual variations in categorized monsoon rainfall distribution of All India during (1813–2020).

Figure 3

Interannual variations in categorized monsoon rainfall distribution of All India during (1813–2020).

Close modal
Figure 4

Same as Figure 3 but for 11 major basins and WCDS.

Figure 4

Same as Figure 3 but for 11 major basins and WCDS.

Close modal

In order to quantify statistically significant changes in the recent 20 years (2001–2020) compared to the last century (1901–2000), Students' t-test is used. River basins, such as Ganga, Brahmaputra, Cauvery, Surma, Brahmani, and Pallar & Ponniyar, have experienced a significant decrease in rainfall in recent decades. These basins are critical for India's water supply and food production, and a sustained decrease in rainfall could have severe socio-economic impacts. For instance, the Ganga basin saw a decrease of −6.3% (−6.6%) in annual (monsoon) rainfall. Similarly, the Brahmaputra and Cauvery basins saw a decrease of −8.4% (−7.6%) and −13.6% (−18.7%), respectively. Independent minor basins also saw a significant decrease in annual and monsoonal rainfall (Table 3). In contrast, certain basins entered a wet phase in recent years but were not statistically significant. Only the Surma basin experienced a significant increase in annual and monsoon rainfall by 3.9 and 7.9%, respectively. However, this localized wet phase contrasts sharply with the broader dry trends in other parts of the country, underscoring the spatial variability of monsoonal rainfall. As a result of the majority of basins experiencing negative percentage change in rainfall in recent years, the national average of annual and monsoon rainfall shows a significant decrease of −1.1% compared to the previous century.

Table 3

Recent 20-year changes in annual and monsoonal rainfall of All India, river basins, and WCDS relative to last 100-year (1901–2000) monthly record (superscript indicates the level of significance)

Sr. No.Basin nameAnnual (%age)JJAS (%age)
 Major basins 
1. Indus major 5.0 0.8 
2. Ganga major −6.35 −6.65 
3. Brahmaputra major −8.41 −7.61 
4. Godavari Major −3.4 −1.3 
5. Krishna major 5.4 7.8 
6. Sabarmati 12.2 15.3 
7. Mahi 3.6 7.9 
8. Narmada −4.5 −0.8 
Tapi 5.9 12.1 
10. Mahanadi −4.3 −4.2 
11. Cauvery −13.61 −18.71 
  Independent minor basins 
12. Luni 9.6 12.6 
13. Surma 3.91 7.91 
14. Kasai −3.9 −3.7 
15. Damodar −4.7 −4.8 
16. Suvarnarekha 3.4 −0.4 
17. Brahmani −13.61 −12.91 
18. Pennar 5.3 13.7 
19. Pallar & Ponniyar −16.01 −19.71 
20. Vaigai −2.7 7.7 
 Other 
21. West Coast Drainage system 6.3 9.3 
22. All India −1.1 −1.1 
Sr. No.Basin nameAnnual (%age)JJAS (%age)
 Major basins 
1. Indus major 5.0 0.8 
2. Ganga major −6.35 −6.65 
3. Brahmaputra major −8.41 −7.61 
4. Godavari Major −3.4 −1.3 
5. Krishna major 5.4 7.8 
6. Sabarmati 12.2 15.3 
7. Mahi 3.6 7.9 
8. Narmada −4.5 −0.8 
Tapi 5.9 12.1 
10. Mahanadi −4.3 −4.2 
11. Cauvery −13.61 −18.71 
  Independent minor basins 
12. Luni 9.6 12.6 
13. Surma 3.91 7.91 
14. Kasai −3.9 −3.7 
15. Damodar −4.7 −4.8 
16. Suvarnarekha 3.4 −0.4 
17. Brahmani −13.61 −12.91 
18. Pennar 5.3 13.7 
19. Pallar & Ponniyar −16.01 −19.71 
20. Vaigai −2.7 7.7 
 Other 
21. West Coast Drainage system 6.3 9.3 
22. All India −1.1 −1.1 

Nonlinear trend analysis using Cramer's tk statistics

The rainfall time series of river basins have shown significant aperiodic oscillations and interannual fluctuations. Despite some regular trends observed in filtered values, the fluctuations are substantial. Further analysis of these fluctuations has been conducted using Cramer's tk statistics. It has been applied to moving averages of 15, 31, 51, and 101 years for each time series to identify short-term tendencies, medium-term fluctuations, long-term trends, and secular trends, respectively. The calculated Cramer's tk value is then tested for significance. Upon visual examination, it is found that the rainfall exhibits a wide range of fluctuation characteristics across the country. Figure 5 illustrates Cramer's tk statistics for All India's annual and monsoon rainfall from 1813 to 2020. In The 15-year running mean, monsoon rainfall experienced five distinct phases: a dry period (1825–1867), a wet phase (1868–1898), another dry phase (1899–1915), a wet phase (1916–1972), a stationary phase (1972–1996), and a recent dry period (1997–2013). The recent dry phase suggests the potential impact of contemporary climate shifts on monsoon performance. Alternate wet and dry epochs in 31 and 51 years are also shown in Figure 5. The 101-year running mean reveals two major epochs: a dry period (1862–1896) and a wet period (1897–1964). It indicates that while short-term fluctuations exist, long-term climate shifts have played a critical role in shaping India's monsoon patterns.
Figure 5

15-, 31-, 51-, and 101-year moving averages of standardized All India annual and monsoon rainfall. The red line indicates Crammer's tk statistics calculated for moving averages.

Figure 5

15-, 31-, 51-, and 101-year moving averages of standardized All India annual and monsoon rainfall. The red line indicates Crammer's tk statistics calculated for moving averages.

Close modal
Major epochal patterns and significant highest and lowest values in the running mean for monsoonal rainfall of major basins are shown in Figures 6 and 7. In recent years, most river basins in India have not shown significant changes in monsoon rainfall over given periods. However, some basins exhibit consistent trends. The Brahmaputra basin has shown a significant and stable decrease in monsoon rainfall across all timeframes, with reductions ranging from −7.1% over 15 years to −1.8% over 101 years. Similarly, the Brahmani basin also displays a consistent decrease, from −11.4% over 15 years to −1.4% over 101 years. Conversely, the Pennar basin has experienced a persistent increase in rainfall, with gains of 15% over 15 years, tapering to 2.8% over 101 years. The Cauvery and Pallar and Ponniyar basins show significant declines in the shorter 15- and 31-year periods but not over longer windows. In contrast, the WCDS shows a steady increase in rainfall across all periods. Other basins, like Krishna, Tapi, and Surma, also show significant increases over 101 years, while the Mahanadi basin displays a notable decline of −5.2% over 51 years. Over country-scale, while recent 15-, 31-, and 51-year periods show slight decreases, overall monsoon rainfall has increased by +1.3% over the past 101 years. This suggests that, despite regional disparities, the overall monsoon system has remained relatively stable in the long term, though recent dry spells may indicate increasing variability driven by climate change.
Figure 6

15-, 31-, 51-, and 101-year moving averages of monsoon rainfall of the Indus, Ganga, Brahmaputra, Godavari, Krishna, and Sabarmati major basins (the red line indicates the Crammer's tk statistics calculated for moving averages).

Figure 6

15-, 31-, 51-, and 101-year moving averages of monsoon rainfall of the Indus, Ganga, Brahmaputra, Godavari, Krishna, and Sabarmati major basins (the red line indicates the Crammer's tk statistics calculated for moving averages).

Close modal
Figure 7

Same as in Figure 6 but for the Mahi, Narmada, Tapi, Mahanadi, and Cauvery major basins and WCDS.

Figure 7

Same as in Figure 6 but for the Mahi, Narmada, Tapi, Mahanadi, and Cauvery major basins and WCDS.

Close modal

Trend values are utilized to measure significant shifts in climatic time series, providing valuable insights for future process evolution, risk analysis, infrastructure planning, and agricultural and water resource management.

Dominant modes of rainfall variability

The longest instrumental rainfall series at the basin scale shows no discernible long-term trend but does exhibit interannual variations at various time scales (annual, seasonal, and monthly). These variations are driven by a mix of periodic and random oscillations that can be examined using classical harmonic analysis. The power spectra for annual and monsoonal rainfall of All India and major basins are reconstructed after excluding the annual and seasonal mean from their respective individual time series. They display the normalized spectral density (percentage of variance) against the waveform's wavelength. They are further smoothed by a three-term running mean to easily identify the dominant peaks. Figure 8 shows the power spectra of annual and monsoon rainfall (left panel) and that for a nine-point-filtered rainfall (right panel). Despite the removal of high-frequency components from the series before the reconstruction of power spectra, the total variance of all the waveforms could explain only 18.2% variance of actual annual and 17.4% variance of monsoon rainfall of All India. This indicates that the interannual variability of the All India rainfall series is highly dominated by the short-term fluctuations contributed by high-frequency components. The results are similar to the individual river basins as well. Among all the river basins, the highest amount of variance explained by filtered series is for the Godavari basin (40%), followed by Cauvery (26.3%) and WCDS (24.9%).
Figure 8

Power spectra of annual and monsoonal rainfall of all India, 11 major basins, and WCDS with three-term running mean (left panel) and calculated on nine-point filtered series (right panel).

Figure 8

Power spectra of annual and monsoonal rainfall of all India, 11 major basins, and WCDS with three-term running mean (left panel) and calculated on nine-point filtered series (right panel).

Close modal

Visual examination reveals that the consistently observed significant peaks can be grouped into three categories: (i) waves with a periodicity of less than 10 years (short-term fluctuations); (ii) waves with a periodicity of 10–30 years (decadal variations); and (iii) waves with a periodicity of more than 30 years (long-term variability). The combined percentage of variance explained by these three wavelength bands is calculated. For annual rainfall, the combined variance of short-term variations across the basins varies from 54.3% (Godavari) to 79.4% (Ganga), the decadal variability from 14.4% (Ganga and Mahanadi) to 19% (Krishna and Brahmaputra), and the long-term variability ranges from 4.8% (Sabarmati) to 21.1% (Godavari). For the monsoon rainfall, the combined variance across the basins varies as follows: short-term variations 53.9% (Godavari) to 79.5% (Ganga); decadal changes 10.3% (WCDS) to 25% (Godavari); and long-term variability 5% (Sabarmati) to 22% (Godavari). For the country as a whole, the combined variances of short-term variations of annual and monsoon rainfall are 79 and 80%, respectively, those of decadal fluctuations are 10.6 and 9.4%, respectively, and for long-term variations, they are 10.1 and 10.2%, respectively. The findings clearly indicate that short-term variability (cycles less than 10 years) is the dominant factor in rainfall variability across India, and can lead to unpredictable swings between droughts and heavy rainfall, which makes it challenging to manage water resources effectively. While long-term climate trends (such as global warming) may influence rainfall patterns, their impact is often overshadowed by more immediate, shorter-term weather cycles. As a result, strategies to cope with water availability and extreme weather events must prioritize short-term variability over decadal or long-term trends.

The effectiveness of extrapolating rainfall time series using harmonic analysis is dependent on the degree of regularity in the series. The variance contribution of many oscillations found through harmonic analysis shows comparable values. It shows that the extrapolation of seasonal/annual rainfall time series using simple classical harmonic analysis is not feasible. More sophisticated techniques, such as appropriate filtering of the dataset to retain predictable components and noise removal using SSA or variable/non-integer harmonic analysis that can capture realistic periodicities, are suggested for future studies.

Interannual and multidecadal variability in relation to global climatic indices

The spectral analysis reveals that a significant portion of the interannual variability is driven by shorter-term cycles that often result from dynamic interactions between atmospheric systems and global climatic indices, making ISMR highly volatile. Drawing from past experiences and studies, we have chosen 10 different climatic indices that cover the five areas surrounding the Indian monsoon domain: The North and tropical Pacific; the North and tropical Atlantic; the Indian Ocean; Eurasian land; and the Southern Hemisphere for our analysis. Figure 9(a) illustrates the geographical locations and the extent of these oscillations, which are distributed globally, encompassing equatorial, tropical, subtropical, and polar latitudes around the Asia-Pacific monsoon belt.
Figure 9

Locations/areal coverage of 10 selected global climatic Indices surrounding the Indian Subcontinent (the red square box indicates the study area) shown in the top panel (a). Interannual variations in different global climatic indices during JJAS (the red line indicates a linear trend) shown in the bottom panel (b).

Figure 9

Locations/areal coverage of 10 selected global climatic Indices surrounding the Indian Subcontinent (the red square box indicates the study area) shown in the top panel (a). Interannual variations in different global climatic indices during JJAS (the red line indicates a linear trend) shown in the bottom panel (b).

Close modal

Figure 9(b) illustrates the interannual fluctuations of 10 climatic indices according to the existing records. Most of these indices do not exhibit a significant long-term trend over an extended period, except for dipole mode index (DMI), AAO, TSA, and TNA, which display a statistically significant increasing long-term trend. The increasing trend in the DMI can be attributed to the warming of the western Indian Ocean, the change in frequency and intensity of ENSO events and ongoing changes in global circulation patterns due to warming (Cai et al. 2014). Warming of the tropical Atlantic and North Atlantic could lead to an increase in TSA and TNA indices (Watanabe & Kimoto 2000; Knight et al. 2006).

Correlations with ISMR

In recent years, various oscillations have shown increasing or decreasing epochal patterns. The strength of the robust, enduring concurrent relationship/teleconnection between the longest monthly and monsoonal rainfall of All India with each of the 10 climatic indices is represented by correlation coefficients (CC) in Table 4. Climatic indices like Niño 3.4, Southern Oscillation Index (SOI), and AO consistently show significant correlations with rainfall across all months during the monsoon season. Niño 3.4 has the strongest negative correlation with ISMR (CC = −0.60). El Niño events (warmer sea surface temperatures in the central and eastern Pacific) are known to suppress monsoon rainfall due to weakened convection over India. This effect is especially pronounced in September when monsoon withdrawal begins. The strongest monthly negative correlation in September (CC = −0.45) indicates that ENSO's effect intensifies towards the end of the monsoon season. SOI with the atmospheric counterpart of Niño 3.4 displays a significant positive correlation, also peaking in September (CC = 0.40), and has the second-highest correlation with ISMR (CC = 0.48). Positive SOI events enhance the monsoon's strength by promoting favourable moisture transport and convection over the Indian subcontinent.

Table 4

CC between All India monsoon monthly rainfall and 10 climatic indices (* and ** indicate 5 and 1% level of significance, respectively)

PDO (167 years)SOI (155 years)NAO (197 years)AMO (165 years)AO (164 years)Niño3.4 (151 years)AAO (142 years)DMI (151 years)TSA (73 years)TNA (73 years)
June −0.30** 0.16* 0.27** −0.05 0.30** −0.43** 0.01 −0.13 0.07 −0.05 
July −0.10 0.18* 0.04 0.00 0.22** −0.32** −0.05 −0.08 −0.20 −0.09 
August −0.10 0.16* −0.02 −0.05 0.24** −0.23** −0.03 0.00 −0.18 −0.11 
September −0.28** 0.40** 0.06 −0.01 0.31** −0.45** 0.05 −0.17* −0.05 −0.02 
JJAS −0.23** 0.48** 0.06 −0.01 0.37** −0.60** −0.09 −0.17* −0.04 −0.05 
PDO (167 years)SOI (155 years)NAO (197 years)AMO (165 years)AO (164 years)Niño3.4 (151 years)AAO (142 years)DMI (151 years)TSA (73 years)TNA (73 years)
June −0.30** 0.16* 0.27** −0.05 0.30** −0.43** 0.01 −0.13 0.07 −0.05 
July −0.10 0.18* 0.04 0.00 0.22** −0.32** −0.05 −0.08 −0.20 −0.09 
August −0.10 0.16* −0.02 −0.05 0.24** −0.23** −0.03 0.00 −0.18 −0.11 
September −0.28** 0.40** 0.06 −0.01 0.31** −0.45** 0.05 −0.17* −0.05 −0.02 
JJAS −0.23** 0.48** 0.06 −0.01 0.37** −0.60** −0.09 −0.17* −0.04 −0.05 

The AO impacts mid-latitude atmospheric circulation, including the monsoon. It has a significant negative correlation with rainfall, strongest in September (CC = −0.31). This could be due to changes in the subtropical jet stream and its interaction with the monsoon trough, which influences monsoon dynamics. The PDO influences long-term climate variability in the Pacific and can modulate ENSO effects. PDO shows negative correlations with rainfall only in June (CC = −0.30) and September (CC = −0.28) indicating that negative phases of the PDO (cooler Pacific waters) suppress the early and late monsoon rains by altering the atmospheric circulation, reducing moisture inflow into the Indian subcontinent. NAO and DMI exhibit significant but weaker correlations with rainfall in June (NAO: CC = 0.27) and September (DMI: CC = −0.17). Their effects on the Indian monsoon may be more localized or secondary compared to other indices. AMO, TSA, and TNA do not display significant correlations with overall India-level rainfall but have notable correlations at the basin scale.

The analysis of ISMR and climatic indices shows that correlations between them are stronger in June and September, but weaker during July and August, which are critical months for monsoon rains. This suggests that the monsoon is becoming less predictable in its peak period, possibly due to the complex interactions between multiple indices leading to nonlinear responses in monsoon rainfall.

Spatial variability across river basins

Figure 10 shows the spatial distribution of significantly correlated climatic indices with monthly and seasonal rainfall across river basins. SOI has the highest correlation during the monsoon season, being strongly correlated with 11 river basins. It shows the strongest positive correlation with the Indus (CC = 0.44) and the Ganga (CC = 0.42). It reflects that La Niña conditions lead to enhanced monsoon activity, particularly in northern river basins. La Niña strengthens convection over India, increasing moisture influx from the Bay of Bengal and Arabian Sea into these basins. Niño 3.4 is highly negatively correlated with the Ganga (CC = −0.53) and the Indus (CC = −0.46) tends to suppress rainfall by weakening monsoon circulation and reducing moisture transport into northern India. AO has a significant positive correlation with the Indus and Ganga (CC = 0.30 each) followed by the Godavari and Narmada (CC = 0.28 each). A positive phase of the AO strengthens the westerly winds and shifts the jet stream, which can enhance the monsoon trough over northern India, promoting rainfall in these regions. PDO is negatively correlated with five basins, most strongly with the Indus (CC = −0.25) followed by the Ganga and Krishna (CC = −0.21 each). During the negative phase, the cooling conditions over the Pacific reduce large-scale moisture flux to northern basins. DMI has a weaker negative correlation with four basins, especially the Ganga (CC = −0.22) followed by the Cauvery (CC = −0.20) indicating its secondary role in influencing northern basins compared to ENSO. AAO, NAO, and AMO each negatively correlate with two basins, with the highest correlations for the Narmada, Brahmaputra, and Cauvery, respectively. TSA and TNA show negative correlations with only one basin each: Brahmaputra (CC = −0.23) and the Cauvery (CC = −0.33), respectively.
Figure 10

Schematic showing the spatial distribution of significantly correlated (5 or 1% level of significance) climatic indices with monthly and monsoon rainfall over river basins of India (underlined label indicates +ve and red indicates –ve correlation).

Figure 10

Schematic showing the spatial distribution of significantly correlated (5 or 1% level of significance) climatic indices with monthly and monsoon rainfall over river basins of India (underlined label indicates +ve and red indicates –ve correlation).

Close modal

Only a few indices show significant correlations consistently throughout the monsoon season, e.g. Niño 3.4 has a persistent significant negative correlation with rainfall of the Indus and Ganga basins from June through September. SOI is positively correlated with rainfall in the Brahmaputra basin throughout the monsoon season and with the Ganga basin, except in August. AO is positively correlated with the Ganga basin's rainfall throughout the monsoon season. PDO shows a strong negative correlation with rainfall in the Indus basin, except in August. For most other basins, no single climatic index consistently correlates with monthly rainfall for more than two months in a season. Additionally, most indices show stronger correlations with basin rainfall in June and September, and comparatively weaker in July and August. The results are in line with those of All India. They suggest that these relationships are influenced by multiple factors, including the phase, timing, and interactions between the indices as well as broader climatic trends like Arctic warming and complicate the traditional connections.

Temporal changes in climatic correlations

A 31-year running correlation analysis was conducted to assess the evolving relationship between various climatic indices and ISMR, as shown in Figure 11. This method smooths short-term variability and highlights decadal to multidecadal shifts in correlations, while also detecting lagged effects of climatic changes on rainfall patterns. The analysis revealed that, throughout the study period, the AO and SOI maintained a strong in-phase correlation with ISMR, while Niño 3.4 consistently showed an out-of-phase relationship. However, the association between AO and ISMR has weakened in recent years, and other indices did not show consistent relationships with ISMR. The weakening correlation between AO and ISMR in recent years suggests that other factors, like ENSO, IOD, or the Medan-Julian Oscillation (MJO), are increasingly influencing Indian monsoon behaviour, complicating the role of AO in driving monsoon variability (Hrudya et al. 2024). The weakening effect potentially may be also related to global climatic shifts, such as warming in the Arctic region, which alters atmospheric circulation patterns (Terray et al. 2023). The Quasi-Biennial Oscillation has also been found to influence the relationship between AO and ISMR (Bhatla et al. 2016).
Figure 11

31-year running correlations between All India monsoon rainfall and 10 selected climatic indices (dotted and dashed lines represent significance at 5 and 1% levels of significance, respectively) are shown in the top panel (a). The bottom panel is for 11 river basins and WCDS and selected climatic indices that are significantly related on a long-term basis (b).

Figure 11

31-year running correlations between All India monsoon rainfall and 10 selected climatic indices (dotted and dashed lines represent significance at 5 and 1% levels of significance, respectively) are shown in the top panel (a). The bottom panel is for 11 river basins and WCDS and selected climatic indices that are significantly related on a long-term basis (b).

Close modal

Figure 11(b) illustrates the 31-term running correlation between monsoon rainfall across 11 major basins and selected climatic indices that have shown significant long-term correlations. For basin-level rainfall, the correlation analysis revealed that several climatic indices have recently lost their association with rainfall. Niño 3.4 and SOI, however, continue to exhibit significant correlations with the Indus, Ganga, Brahmaputra, Godavari, Krishna, Tapi, and Cauvery basins, while the Sabarmati, Mahi, Narmada, and WCDS basins have lost these connections. Additionally, AO has maintained significant correlations with the Godavari, Narmada, and Tapi basins, but its association with other major basins, including the Indus, Ganga, Krishna, and others, has diminished. Many climatic indices have recently lost their strong associations with rainfall. This weakening may reflect local and regional variations in how these basins respond to broader climatic signals, possibly influenced by land use changes, irrigation practices, or changes in atmospheric circulation patterns.

Interconnectedness of climatic indices

Niño 3.4 and SOI, while traditionally linked to monsoon rainfall, are also affected by interactions with other indices such as the PDO, MJO, and the IOD. The intensity and timing of ENSO events, along with their interaction with other indices, result in varying impacts on seasonal rainfall. Further analysis shows the interconnectivity between many climatic indices. For instance, the PDO negatively correlates with SOI and AO (CC = −0.31 and −0.35, respectively) and positively with Niño3.4 (CC = +0.48). Similarly, Niño3.4 has a strong positive correlation with the DMI (CC = +0.50) and a negative correlation with AO (CC = −0.33). DMI also exhibits positive correlations with AO and AAO (CC = +0.23 and +0.24, respectively). TSA and TNA are strongly positively correlated with the AMO (CC = +0.31 and +0.86, respectively) and AAO (CC = +0.29 and +0.34, respectively). TSA and TNA also share a positive correlation (CC = +0.36). The interrelationships between various climatic indices show that the global atmospheric and oceanic phenomena do not operate in isolation, further complicating their individual relationships with monsoon rainfall. The timing, intensity, and phase of one index can alter the behaviour of others, impacting the seasonal distribution of rainfall in complex ways.

Relationship with global tropospheric temperature distribution

We found that global climatic indices are the weak representative of monsoon rainfall performance, especially during July and August. This study highlights the rainfall peak during July and August is primarily driven by the location, size, intensity, and reach of the well-established Asia-Pacific monsoon circulation. Its location, form, size, and intensity are primarily impacted by the tropospheric temperature/thickness contrast between the Tibetan anticyclone and eight deep highs worldwide.

To quantify the thermal state of the atmosphere, the ‘Tropospheric Thickness Index’ (TZI) has been formulated using temperature and thickness values between 1,000 and 250 hPa. The TZI was computed monthly for the monsoon period (JJAS) from 1949 to 2020.
where TTmon and THKmon are the monthly mean of tropospheric temperature and thickness of a grid, respectively; TTmean and THKmean are mean values calculated for the study period, respectively; TTstd and THKstd are the standard deviations for the study period.
Figure 12 illustrates the spatial distribution of CC between TZI and monthly rainfall of All India during the monsoon season. For June, the warmest and thickest troposphere over western and central Tibet showed the highest correlation (CC = 0.6) with rainfall across India. In July and August, a division of the Tibetan high into two hot cores (east and west) was linked to rainfall patterns, with correlations ranging between 0.4 and 0.5. The performance of September rainfall was tied to the well-developed, single-cell hot-thick core of deep anticyclone over the Tibetan area extending from the Middle East to the Mongolia region (CC = 0.4 to 0.6).
Figure 12

Spatial distribution of CC between All India rainfall and TZI index during June, July, August, September, and the whole monsoon season.

Figure 12

Spatial distribution of CC between All India rainfall and TZI index during June, July, August, September, and the whole monsoon season.

Close modal
The study extended this analysis to 11 major river basins in India, depicting the spatial distribution of the correlation coefficient in Figure 13. The results illustrated that the monsoon rainfall of northern and eastern basins (Indus, Ganga, Brahmaputra, and Mahanadi) is significantly correlated to the extreme east and central subtropical Afro-Asian highland's hot and thick cores (CC varies between 0.4 and 0.6). Central India's river basins (e.g., Godavari, Krishna, Sabarmati, Mahi, and Tapi) showed significant correlations with the warm and thick troposphere of northern tropics and that of southern tropical and subtropical regions. This indicates the involvement of all subtropical high-pressure cells from both hemispheres leading to a well-established monsoon circulation. The southern peninsular rivers displayed different behaviours: for instance, the Cauvery basin showed a negative correlation with global warming patterns, indicating that its monsoon dynamics might be more closely linked to the equatorial climate and strength of southwesterly monsoon flow rather than the large-scale monsoon circulatory systems over the Tibetan plateau.
Figure 13

Spatial distribution of CC between monsoon rainfall of river basins and the TZI index.

Figure 13

Spatial distribution of CC between monsoon rainfall of river basins and the TZI index.

Close modal

The study provides comprehensive insights into the intricate patterns of interannual rainfall variability by analyzing the climatological and fluctuation features, recent years' changes in annual and monsoonal rainfall of 11 major basins, nine independent minor basins, WCDS, and All India. The research highlights the multifaceted interplay of internal and external factors shaping the high spatio-temporal variability in monsoon rainfall. Using reconstructed rainfall data dating back to 1813, the study underscores the substantial variability in normal annual rainfall, which ranges from 487.7 mm (Luni basin) to 2,519.5 mm (Surma basin), and monsoon rainfall, varies from 255.3 mm (Vaigai basin) to 1,706.6 mm (Brahmaputra basin). Long-term trends reveal distinct epochs of wet and dry periods, with multiple transitions between these phases from 1813 to 2020. The most recent dry epoch (2000–2020) continues to affect major river basins, particularly the Ganga, Brahmaputra, and Cauvery basins. In contrast, certain basins, such as Krishna and Sabarmati, have witnessed a wet phase in recent decades. Statistical analysis of the last two decades (2001–2020) indicates significant declines in annual and monsoon rainfall in key basins, particularly in the Ganga (−6.3, −6.6%) and Brahmaputra, (−8.4, −7.6%), signalling a shift in regional rainfall patterns. Collectively, these basins contribute a significant portion of the country's rainfall, making these changes critical for water resource management. On the other hand, the Surma basin stands out for its increased rainfall in both annual (+3.9%) and monsoon (+7.9%) terms, indicating regional disparities in rainfall trends. However, the overall All India rainfall has decreased marginally by −1.1%, a change not statistically significant.

Distinct epochs are identified over time scales of 15, 31, 51, and 101 years. Specific basins, such as the Brahmaputra and Brahmani, have experienced consistent declines in monsoon rainfall, while Pennar and WCDS have seen persistent increases. Although recent decades have shown a decreasing trend in All India rainfall, particularly in the shorter time windows, the 101-year cycle indicates a modest but statistically significant increase of 1.3% in monsoon rainfall. This suggests that while fluctuations dominate at shorter time scales, there is overall long-term stability in the monsoon rainfall. These findings are crucial for researchers and policy-makers focused on sustainable water resource management. The study demonstrates that short-term fluctuations are observed as the primary driver of interannual variability, accounting for more than 75% of rainfall variability across basins, followed by decadal shifts (15%) and long-term variability (10%), as reflected in the spectral analysis.

Furthermore, the study explores the relationship of year-to-year and multidecadal variability of ISMR with global climatic indices, revealing complex and evolving interconnections. The Niño 3.4 index has a strong negative correlation (−0.60) with ISMR, while other indices such as SOI, AO, PDO, and DMI also influence rainfall patterns with varying degrees of correlation. Spatial analysis shows that SOI, Niño3.4, and AO are the most influential indices across all river basins, with significant monthly correlations during the monsoon season. Notably, Niño 3.4 is consistently linked to rainfall in the Indus and Ganga basins, while SOI has a strong positive correlation with the Brahmaputra and Ganga basins, AO has a correlation with the Ganga basin and PDO to the Indus basin. Interestingly, many climatic indices exhibit strong correlations with rainfall in June and September, but weaker correlations during July and August, the peak of the monsoon season. It could be due to the overlapping influences of various phenomena such as Niño 3.4, AO, PDO, and DMI, that disturb the linear relationship. The indices directly influence the transition and intensity of monsoon winds, so the correlations may be more pronounced at the onset and retreat phases of the monsoon.

The study also emphasizes the dynamic nature of correlation with ISMR over time. For instance, the AO has shown a weakening relationship with ISMR since the 1980s, preferably due to Arctic warming affecting key basins like the Indus, Ganga, Krishna, Cauvery, and WCDS while correlations with basins like Godavari and Narmada have strengthened. These findings align with previous research, indicating multiple switchovers in the associations between these indices and ISMR over time (Adarsh & Janga Reddy 2019). The findings underscore the intricate nature of global teleconnections and their varying impacts on regional rainfall patterns. While Niño 3.4 and SOI remain key predictors of monsoon rainfall variability, the influence of other indices like PDO and AO is less consistent, and their correlations have shifted over time. These evolving relationships have significant implications for hydrological modelling and infrastructure planning. As historical correlations are often used to predict annual and seasonal peak flows and water availability in river basins, the study emphasizes the importance of revisiting these predictive models in light of shifting climatic influences to reduce uncertainties in future projections and ensure sustainable management of water resources. This also highlights the need for adaptive and region-specific approaches in water resource management and climate risk planning, as climatic indices can have differential impacts across basins and time scales.

The research also highlights the connection between monsoon rainfall patterns and global tropospheric warming, particularly in relation to the Tibetan anticyclone and the Afro-Asian highlands. Northern and eastern basins, such as Indus and Brahmaputra, exhibit strong correlations with the warm, thick troposphere over eastern and central subtropical Afro-Asian highlands. Central Indian basins, like the Godavari and Krishna, show significant relationships with warming patterns over the northern hemisphere and southern tropical and subtropical regions, reflecting the global nature of monsoon circulation. In contrast, southern basins, such as the Cauvery, are primarily influenced by equatorial climate dynamics and the strength of the southwesterly monsoon flow plays a larger role than large-scale monsoon circulations. These findings underscore the intricate relationship between global tropospheric warming and regional rainfall patterns, highlighting the need for a nuanced understanding of monsoon dynamics in the context of global climate variability. As global temperatures continue to rise, understanding these interactions will be crucial for predicting monsoon performance and managing water resources effectively.

The considerable rising or falling tendency in monsoon rainfall across India has some rationale. However, neither of them can conclusively claim that they are uniform and random. This study demonstrates the importance of understanding both the short- and long-term variability of monsoon rainfall across 20 river basins of India. The research findings indicate that short-term fluctuations are the primary drivers of rainfall variability in India, overshadowing decadal and long-term trends. This makes predicting future rainfall patterns based on long-term cycles alone unreliable. The study highlights significant declines in monsoonal rainfall in key basins such as the Ganga, Brahmaputra, and Cauvery, alongside modest increases in others. The basin-specific trends emphasize the need for localized water management strategies to address the diverse impacts of changing rainfall patterns.

The intricate web of interactions between climatic indices collectively influences monsoon rainfall patterns reflecting regional differences and evolving nature. The shifting correlations over time underscore the dynamic nature of these relationships, driven by a multitude of factors. It suggested the predictive models to account for these shifting correlations to ensure accurate water management projections. Additionally, the study underlines the influence of global tropospheric warming on rainfall patterns, highlighting the critical need to consider the broader implications of climate change on India's monsoon dynamics. The monsoon circulation, though vigorous, exhibits a distorted 3D structure and variable interaction with global climatic indices and uneven global warming. This leads to heterogeneous rainfall distribution over space and time, with unpredictable and inconsistent extreme rain events. As India continues to face the challenges of global temperature rise and climate change, these findings underscore the urgency of developing adaptive, region-specific strategies for managing river basins, assessing groundwater recharge potential, and aiding local agricultural planning for sustainable development and ensuring water security for future generations.

The author is grateful to the Director, National Institute of Hydrology, Roorkee for the necessary facilities to pursue the study and to the India Meteorological Department for providing the necessary station and gridded rainfall datasets.

Data cannot be made publicly available; readers should contact the corresponding author for details.

The authors declare there is no conflict.

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