Abstract
The association of daily precipitation extremes (PEX) with maximum daily temperature (T), dew point temperature (DPT) and precipitable water (PW) are investigated throughout India during 1979–2016 using station-based data and gridded products from India Meteorological Department and climate reanalyses (ERA5). The dependence structure of PEX with physical covariates are modelled through copula for selected cities with different climatic types. The largest scaling coefficients, both negative (upto − 25%/°C with T) and positive (28%/°C with DPT, four times Clausius-Clapeyron rates) are observed in Mumbai. For all the cities, the median value of rainfall extremes increases with decrease in the conditioning variables T and DPT; but increases with increase in PW. Future scaling analyses using ensemble mean of 13 General Circulation Models (GCMs) from CMIP6 show strongly negative to slight positive scaling with T over a large part of India, although there are fluctuations over the three epochs (2015–2040, 2041–2070 and 2071–2100).
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The data that support the findings of this study are available from the corresponding author upon reasonable request.
References
Aadhar S, Mishra V (2020) On the projected decline in droughts over South Asia in CMIP6 multimodel ensemble. J Geophys Res Atmos 125:0–3. https://doi.org/10.1029/2020JD033587
Aas K, Czado C, Frigessi A, Bakken H (2009) Pair-copula constructions of multiple dependence. Insur Math Econ 44:182–198
Akaike H (1974) A new look at the statistical model identification. IEEE Trans Automat Contr 19:716–723
Ali H, Mishra V (2017) Contrasting response of rainfall extremes to increase in surface air and dewpoint temperatures at urban locations in India. Sci Rep 7:1–15
Ali H, Fowler HJ, Mishra V (2018) Global observational evidence of strong linkage between dew point temperature and precipitation extremes. Geophys Res Lett 45:12320–12330. https://doi.org/10.1029/2018GL080557
Ali H, Peleg N, Fowler HJ (2021) Global scaling of rainfall with dewpoint temperature reveals considerable ocean-land difference. Geophys Res Lett 48:e2021GL093798
Bao J, Sherwood SC, Alexander LV, Evans JP (2017) Future increases in extreme precipitation exceed observed scaling rates. Nat Clim Chang 7:128–132
Barbero R, Fowler HJ, Lenderink G, Blenkinsop S (2017) Is the intensification of precipitation extremes with global warming better detected at hourly than daily resolutions? Geophys Res Lett 44:974–983
Barbero R, Westra S, Lenderink G, Fowler HJ (2018) Temperature-extreme precipitation scaling: A two-way causality? Int J Climatol 38:e1274–e1279
Bartier PM, Keller CP (1996) Multivariate interpolation to incorporate thematic surface data using inverse distance weighting (IDW). Comput Geosci 22:795–799
Beniston M (2009) Trends in joint quantiles of temperature and precipitation in Europe since 1901 and projected for 2100. Geophys Res Lett 36:7. https://doi.org/10.1029/2008GL037119
Brechmann EC, Schepsmeier U (2013) Modeling dependence with C- and D-vine copulas: the R package CDVine. J Stat Softw 52:1–27. https://doi.org/10.18637/jss.v052.i03
Chen H (2013) Projected change in extreme rainfall events in China by the end of the 21st century using CMIP5 models. Chinese Sci Bull 58:1462–1472
Chen F-W, Liu C-W (2012) Estimation of the spatial rainfall distribution using inverse distance weighting (IDW) in the middle of Taiwan. Paddy Water Environ 10:209–222
Colombo AF, Etkin D, Karney BW (1999) Climate variability and the frequency of extreme temperature events for nine sites across Canada: implications for power usage. J Clim 12:2490–2502
Dash S, Maity R (2019) Temporal evolution of precipitation-based climate change indices across India: contrast between pre-and post-1975 features. Theor Appl Climatol 138:1667–1678
Dash S, Maity R (2021) Revealing alarming changes in spatial coverage of joint hot and wet extremes across India. Sci Rep 11:1–15. https://doi.org/10.1038/s41598-021-97601-z
Dash S, Maity R (2023) Unfolding unique features of precipitation-temperature scaling across India. Atmos Res 106601. https://doi.org/10.1016/j.atmosres.2022.106601
Di Napoli C, Barnard C, Prudhomme C et al (2021) ERA5-HEAT: a global gridded historical dataset of human thermal comfort indices from climate reanalysis. Geosci Data J 8:2–10
Du H, Xia J, Zeng S et al (2014) Variations and statistical probability characteristic analysis of extreme precipitation events under climate change in Haihe River Basin, China. Hydrol Process 28:913–925
Gao X, Zhu Q, Yang Z et al (2018) Temperature dependence of hourly, daily, and event-based precipitation extremes over China. Sci Rep 8:1–10
Ghizzoni T, Roth G, Rudari R (2010) Multivariate skew-t approach to the design of accumulation risk scenarios for the flooding hazard. Adv Water Resour 33:1243–1255
Goswami UP, Hazra B, Goyal MK (2018) Copula-based probabilistic characterization of precipitation extremes over North Sikkim Himalaya. Atmos Res 212:273–284. https://doi.org/10.1016/j.atmosres.2018.05.019
Grimaldi S, Serinaldi F (2006) Asymmetric copula in multivariate flood frequency analysis. Adv Water Resour 29:1155–1167
Hardwick Jones R, Westra S, Sharma A (2010) Observed relationships between extreme sub‐daily precipitation, surface temperature, and relative humidity. Geophys Res Lett 37:22. https://doi.org/10.1029/2010GL045081
Herath SM, Sarukkalige R (2018) Evaluation of empirical relationships between extreme rainfall and daily maximum temperature in Australia. J Hydrol 556:1171–1181
Jhong B-C, Tung C-P (2018) Evaluating future joint probability of precipitation extremes with a copula-based assessing approach in climate change. Water Resour Manag 32:4253–4274
Kang L, Jiang S, Hu X, Li C (2019) Evaluation of return period and risk in bivariate non-stationary flood frequency analysis. Water 11:79
Kao S, Govindaraju RS (2007) A bivariate frequency analysis of extreme rainfall with implications for design. J Geophys Res Atmos 112:D13. https://doi.org/10.1029/2007JD008522
Kao S-C, Govindaraju RS (2010) A copula-based joint deficit index for droughts. J Hydrol 380:121–134
Khedun CP, Mishra AK, Singh VP, Giardino JR (2014) A copula-based precipitation forecasting model: investigating the interdecadal modulation of ENSO’s impacts on monthly precipitation. Water Resour Res 50:580–600
Kojadinovic I, Yan J (2010) Modeling multivariate distributions with continuous margins using the copula R package. J Stat Softw 34:1–20
Kumar S, Chanda K, Pasupuleti S (2020) Spatiotemporal analysis of extreme indices derived from daily precipitation and temperature for climate change detection over India. Theor Appl Climatol. https://doi.org/10.1007/s00704-020-03088-5
Kumar S, Chanda K, Pasupuleti S (2022) Pre-and post-1975 scaling relationships of monsoon and non-monsoon hourly precipitation extremes with coincident temperature across urban India. J Hydrol 612:128180. https://doi.org/10.1016/j.jhydrol.2022.128180
Kurowicka D, Joe H (2011) Dependence modeling-handbook on vine copulae. https://doi.org/10.1142/7699
Lee J-Y, Wang B (2014) Future change of global monsoon in the CMIP5. Clim Dyn 42:101–119
Lenderink G, Van Meijgaard E (2010) Linking increases in hourly precipitation extremes to atmospheric temperature and moisture changes. Environ Res Lett 5:25208
Lenderink G, Mok HY, Lee TC, Van Oldenborgh GJ (2011) Scaling and trends of hourly precipitation extremes in two different climate zones–Hong Kong and the Netherlands. Hydrol Earth Syst Sci 15:3033–3041
Li Z (2021) An enhanced dual IDW method for high-quality geospatial interpolation. Sci Rep 11:1–17
Liu Z, Zhou P, Chen X, Guan Y (2015) A multivariate conditional model for streamflow prediction and spatial precipitation refinement. J Geophys Res Atmos 120:10–116
Lu GY, Wong DW (2008) An adaptive inverse-distance weighting spatial interpolation technique. Comput Geosci 34:1044–1055
Miao C, Sun Q, Duan Q, Wang Y (2016) Joint analysis of changes in temperature and precipitation on the Loess Plateau during the period 1961–2011. Clim Dyn 47:3221–3234. https://doi.org/10.1007/s00382-016-3022-x
Mishra V, Bhatia U, Tiwari AD (2020) Bias-corrected climate projections for South Asia from coupled model intercomparison project-6. Sci Data 7:1–13
Mishra V, Wallace JM, Lettenmaier DP (2012) Relationship between hourly extreme precipitation and local air temperature in the United States. Geophys Res Lett 39:16. https://doi.org/10.1029/2012GL052790
Moustakis Y, Onof CJ, Paschalis A (2020) Atmospheric convection, dynamics and topography shape the scaling pattern of hourly rainfall extremes with temperature globally. Commun Earth Environ 1:1–9
Mukherjee S, Aadhar S, Stone D, Mishra V (2018) Increase in extreme precipitation events under anthropogenic warming in India. Weather Clim Extrem 20:45–53
Pai DS, Sridhar L, Rajeevan M et al (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 65:1–18
Panthou G, Mailhot A, Laurence E, Talbot G (2014) Relationship between surface temperature and extreme rainfalls: a multi-time-scale and event-based analysis. J Hydrometeorol 15:1999–2011
Prein AF, Rasmussen RM, Ikeda K et al (2017) The future intensification of hourly precipitation extremes. Nat Clim Chang 7:48–52
Qiao P, Lei M, Yang S et al (2018) Comparing ordinary kriging and inverse distance weighting for soil as pollution in Beijing. Environ Sci Pollut Res 25:15597–15608
Rigby RA, Stasinopoulos DM (2005) Generalized additive models for location, scale and shape. J R Stat Soc Ser C Applied Stat 54:507–554
Roderick TP, Wasko C, Sharma A (2019) Atmospheric moisture measurements explain increases in tropical rainfall extremes. Geophys Res Lett 46:1375–1382
Salvadori G, De Michele C, Durante F (2011) On the return period and design in a multivariate framework. Hydrol Earth Syst Sci 15:3293–3305
Salvadori G, De Michele C (2004) Frequency analysis via copulas: theoretical aspects and applications to hydrological events. Water Resour Res 40:12. https://doi.org/10.1029/2004WR003133
Salvadori G, De Michele C (2010) Multivariate multiparameter extreme value models and return periods: a copula approach. Water Resour Res 46:10. https://doi.org/10.1029/2009WR009040
Sen PK (1968) Estimates of the regression coefficient based on Kendall’s tau. J Am Stat Assoc 63:1379–1389
Sharma S, Mujumdar PP (2019) On the relationship of daily rainfall extremes and local mean temperature. J Hydrol 572:179–191
Shaw SB, Royem AA, Riha SJ (2011) The relationship between extreme hourly precipitation and surface temperature in different hydroclimatic regions of the United States. J Hydrometeorol 12:319–325
Singh P, Kumar V, Thomas T, Arora M (2008) Changes in rainfall and relative humidity in river basins in northwest and central India. Hydrol Process Int J 22:2982–2992
Sklar M (1959) Fonctions de repartition an dimensions et leurs marges. Publ Inst Stat Univ Paris 8:229–231
Srivastava AK, Rajeevan M, Kshirsagar SR (2009) Development of a high resolution daily gridded temperature data set (1969–2005) for the Indian region. Atmos Sci Lett 10:249–254
Suroso S, Bárdossy A (2018) Investigation of asymmetric spatial dependence of precipitation using empirical bivariate copulas. J Hydrol 565:685–697
Thrasher B, Maurer EP, McKellar C, Duffy PB (2012) Bias correcting climate model simulated daily temperature extremes with quantile mapping. Hydrol Earth Syst Sci 16:3309–3314
Utsumi N, Seto S, Kanae S, et al (2011) Does higher surface temperature intensify extreme precipitation? Geophys Res Lett 38:16. https://doi.org/10.1029/2011GL048426
van Mierlo C, Faes MGR, Moens D (2021) Inhomogeneous interval fields based on scaled inverse distance weighting interpolation. Comput Methods Appl Mech Eng 373:113542
Vittal H, Ghosh S, Karmakar S et al (2016) Lack of dependence of Indian summer monsoon rainfall extremes on temperature: an observational evidence. Sci Rep 6:1–12. https://doi.org/10.1038/srep31039
Wang G, Wang D, Trenberth KE et al (2017) The peak structure and future changes of the relationships between extreme precipitation and temperature. Nat Clim Chang 7:268–274
Yue S (2001) A bivariate gamma distribution for use in multivariate flood frequency analysis. Hydrol Process 15:1033–1045
Zhang L, Singh VP (2007) Bivariate rainfall frequency distributions using Archimedean copulas. J Hydrol 332:93–109
Zhang D, Yan D, Wang Y-C et al (2015) GAMLSS-based nonstationary modeling of extreme precipitation in Beijing–Tianjin–Hebei region of China. Nat Hazards 77:1037–1053
Zhang X, Zwiers FW, Li G et al (2017) Complexity in estimating past and future extreme short-duration rainfall. Nat Geosci 10:255–259
Zhang W, Villarini G, Wehner M (2019) Contrasting the responses of extreme precipitation to changes in surface air and dew point temperatures. Clim Change 154:257–271
Acknowledgements
The authors acknowledge the partial support provided by DST-SERB through the project ECR/2017/001880. Further, the authors acknowledge the data of daily precipitation and temperature from India Meteorological Department (IMD), and reanalysis data from Climate Prediction Centre (CPC), NOAA/OAR/ESRL PSD Boulder, Colorado, USA (https://www.esrl.noaa.gov/psd/data/), European Centre for Medium-Range Weather Forecasts (ECMWF) (https://cds.climate.copernicus.eu/cdsapp#!/dataset/) and future datasets from Bias Corrected Climate Projections from CMIP6 Models for South Asia (https://zenodo.org/record/3987736#.YqCofahBzDf) by Mishra et al. (2020). The authors would also like to acknowledge the support received from the Department of Civil Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, during the research work. The authors also acknowledge Dr. Rajesh Nune, Scientist-Hydrology, ICRISAT Development Center, International Crops Research Institute for the Semi-Arid Tropics, Hyderabad, Telangana and Mr. Purushottam Agrawal, Executive Engineer/Water Resources Dept., Govt. of Chhattisgarh for providing rainfall data for Hyderabad and Raipur respectively.
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Material preparation, data collection and formal analysis were performed and first draft of the manuscript was written by Sachidanand Kumar. Kironmala Chanda contributed to the study conception, design and supervision. Srinivas Pasupuleti commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Kumar, S., Chanda, K. & Pasupuleti, S. Association of tropical daily precipitation extremes with physical covariates in a changing climate. Stoch Environ Res Risk Assess 37, 3021–3039 (2023). https://doi.org/10.1007/s00477-023-02433-0
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DOI: https://doi.org/10.1007/s00477-023-02433-0