Skip to main content

Advertisement

Log in

Characterization of interannual and seasonal variability of hydro-climatic trends in the Upper Indus Basin

  • Original Paper
  • Published:
Theoretical and Applied Climatology Aims and scope Submit manuscript

Abstract

High-resolution seasonal and annual precipitation climatologies for the Upper Indus Basin were developed on the basis of 1995–2017 precipitation normals obtained from four-gridded datasets (APHRODITE, CHIRPS, PERSIANN-CDR, and ERA5) and the quality-controlled high- and mid-elevation station observations. Monthly precipitation is estimated through the anomaly method at the catchment scale, and then, it is compared with the observed discharges over the 1975–2017 period for verification and detection of changes in the hydrological cycle. Running trends and spectral analysis on the precipitation gridded dataset were performed. The Mann–Kendall test was employed to detect the significance of trends whereas the Pettitt test was used to identify change points in precipitation and discharge time series. The results indicate that the bias corrected CHIRPS precipitation, followed by the ERA5, performed better in terms of RMSE, MAE, MAPE, and BIAS against the rain gauge observations. The running trend analysis exhibits a slight increase in annual precipitation, but it shows significant increase in winter precipitation. A runoff coefficient greater than one, especially in the glacierized sub-catchments of Shigar, Shyok, Astore, and Gilgit, indicates that precipitation is likely to be underestimated and glacial melt provides excess runoff volumes in a warming climate. Streamflow variability is found to be pronounced at the seasonal rather than at the annual scale. The annual discharges at Shyok, Gilgit, and Indus at Kachura gauges are slightly significantly increasing. Seasonal discharge analysis reveals more complex regimes, varying in different catchments, and its comparison with precipitation variability favors a deeper understanding of precipitation, snow-, and ice-melt runoff dynamics, addressing the hydroclimatic behavior of the Karakoram region and some weaknesses in the monitoring network at high altitude.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Data availability

Not applicable.

Code availability

Not applicable.

References

  • Adnan M, Nabi G, Poomee MS, Ashraf A (2017) Snowmelt runoff prediction under changing climate in the Himalayan cryosphere: a case of Gilgit River Basin. Geosci Front 8:941–949

    Article  Google Scholar 

  • Ahmad I, Zhang F, Tayyab M, Anjum MN, Zaman M, Liu J, Farid HU, Saddique Q (2018) Spatiotemporal analysis of precipitation variability in annual, seasonal and extreme values over upper Indus River basin. Atmos Res 213:346–360

    Article  Google Scholar 

  • Ahmad Z, Hafeez M, Ahmad I (2012) Hydrology of mountainous areas in the upper Indus Basin, Northern Pakistan with the perspective of climate change. Environ Monit Assess 184:5255–5274

    Article  Google Scholar 

  • Akhtar M, Ahmad N, Booij MJ (2008) The impact of climate change on the water resources of Hindukush–Karakorum–Himalaya region under different glacier coverage scenarios. J Hydrol 355:148–163

    Article  Google Scholar 

  • Ali S, Li D, Congbin F, Khan F (2015) Twenty first century climatic and hydrological changes over Upper Indus Basin of Himalayan region of Pakistan. Environ Res Lett 10:014007

    Article  Google Scholar 

  • Andermann C, Bonnet S, Gloaguen R (2011) Evaluation of precipitation data sets along the Himalayan front. Geochem Geophys Geosyst 12(7)

  • Anjum MN, Ding Y, Shangguan D, Ahmad I, Ijaz MW, Farid HU, Yagoub YE, Zaman M, Adnan M (2018) Performance evaluation of latest integrated multi-satellite retrievals for Global Precipitation Measurement (IMERG) over the northern highlands of Pakistan. Atmos Res 205:134–146

    Article  Google Scholar 

  • Archer DR, Fowler HJ (2004) Spatial and temporal variations in precipitation in the Upper Indus Basin, global teleconnections and hydrological implications. Hydrol Earth Syst Sci Discuss 8:47–61

    Article  Google Scholar 

  • Arfan M, Lund J, Hassan D, Saleem M, Ahmad A (2019) Assessment of spatial and temporal flow variability of the Indus river. Resources 8:103

    Article  Google Scholar 

  • Ashouri H, Hsu K-L, Sorooshian S, Braithwaite DK, Knapp KR, Cecil LD, Nelson BR, Prat OP (2015) PERSIANN-CDR: daily precipitation climate data record from multisatellite observations for hydrological and climate studies. Bull Am Meteorol Soc 96:69–83

    Article  Google Scholar 

  • Baudouin J-P, Herzog M, Petrie CA (2020) Contribution of cross-barrier moisture transport to precipitation in the upper Indus River Basin. Mon Weather Rev 148:2801–2818

    Article  Google Scholar 

  • Berthier É, Brun F (2019) Karakoram geodetic glacier mass balances between 2008 and 2016: persistence of the anomaly and influence of a large rock avalanche on Siachen Glacier. J Glaciol 65:494–507

    Article  Google Scholar 

  • Bocchiola D, Diolaiuti G (2013) Recent (1980–2009) evidence of climate change in the upper Karakoram Pakistan. Theor Appl Climatol 113:611–641

    Article  Google Scholar 

  • Bocchiola D, Diolaiuti G, Soncini A, Mihalcea C, D’agata C, Mayer C, Lambrecht A, Rosso R, Smiraglia C (2011) Prediction of future hydrological regimes in poorly gauged high altitude basins: the case study of the upper Indus Pakistan. Hydrol Earth Syst Sci 15:2059–2075

    Article  Google Scholar 

  • Bolch T, Kulkarni A, Kääb A, Huggel C, Paul F, Cogley JG, Frey H, Kargel JS, Fujita K, Scheel M (2012) The state and fate of Himalayan glaciers. Science 336:310–314

    Article  Google Scholar 

  • Brun F, Berthier E, Wagnon P, Kääb A (2016) Treichler D (2017) A spatially resolved estimate of High Mountain Asia glacier mass balances from 2000 to. Nat Geosci 10:668–673

    Article  Google Scholar 

  • Brunetti M, Lentini G, Maugeri M, Nanni T, Simolo C, Spinoni J (2012) Projecting North Eastern Italy temperature and precipitation secular records onto a high-resolution grid. Phys Chem Earth Parts a/b/c 40:9–22

    Article  Google Scholar 

  • Cannon F, Carvalho LM, Jones C, Bookhagen B (2015) Multi-Annual Variations in Winter Westerly Disturbance Activity Affecting the Himalaya. Clim Dyn 44:441–455

    Article  Google Scholar 

  • Cheema MJM, Bastiaanssen WG (2012) Local calibration of remotely sensed rainfall from the TRMM satellite for different periods and spatial scales in the Indus Basin. Int J Remote Sens 33:2603–2627

    Article  Google Scholar 

  • Copernicus Climate Change Service (C3S) (2017) ERA5: Fifth generation of ECMWF atmospheric reanalyses of the global climate. Copernicus Climate Change Service Climate Data Store (CDS). https://cds.climate.copernicus.eu. Accessed 18 July 2019

  • Crespi A, Brunetti M, Lentini G, Maugeri M (2018) 1961–1990 high-resolution monthly precipitation climatologies for Italy. Int J Climatol 38:878–895

    Article  Google Scholar 

  • Crespi A, Brunetti M, Ranzi R, Tomirotti M, Maugeri M (2021) A multi-century meteo-hydrological analysis for the Adda river basin (Central Alps). Part I: gridded monthly precipitation (1800–2016) records. Int J Climatol 41:162–180

    Article  Google Scholar 

  • Dahri ZH, Ludwig F, Moors E, Ahmad B, Khan A, Kabat P (2016) An appraisal of precipitation distribution in the high-altitude catchments of the Indus basin. Sci Total Environ 548:289–306

    Article  Google Scholar 

  • Dile YT, Srinivasan R (2014) Evaluation of CFSR climate data for hydrologic prediction in data-scarce watersheds: an application in the Blue Nile River Basin JAWRA. J Am Water Resour Assoc 50:1226–1241

    Article  Google Scholar 

  • Eccel E, Cau P, Ranzi R (2012) Data reconstruction and homogenization for reducing uncertainties in high-resolution climate analysis in Alpine regions. Theoret Appl Climatol 110:345–358

    Article  Google Scholar 

  • Fallah A, Rakhshandehroo GR, Berg POS, Orth R (2020) Evaluation of precipitation datasets against local observations in southwestern Iran. International Journal of Climatology 40(9):4102–4116

    Article  Google Scholar 

  • Farhan SB, Zhang Y, Ma Y, Guo Y, Ma N (2015) Hydrological regimes under the conjunction of westerly and monsoon climates: a case investigation in the Astore Basin Northwestern Himalaya. Clim Dyn 44:3015–3032

    Article  Google Scholar 

  • Fowler H, Archer D (2006) Conflicting signals of climatic change in the Upper Indus Basin. J Clim 19:4276–4293

    Article  Google Scholar 

  • Funk C, Peterson P, Landsfeld M, Pedreros D, Verdin J, Shukla S, Husak G, Rowland J, Harrison L, Hoell (2015) The climate hazards infrared precipitation with stations—a new environmental record for monitoring extremes. Sci Data 2:150066. https://doi.org/10.1038/sdata.2015.66

  • Gao Y, Liu M (2013) Evaluation of High-Resolution Satellite Precipitation Products Using Rain Gauge Observations over the Tibetan Plateau. Hydrol Earth Syst Sci 17:837

    Article  Google Scholar 

  • Hasson S (2016) Future water availability from Hindukush-Karakoram-Himalaya Upper Indus Basin under conflicting climate change scenarios. Climate 2016:40

    Article  Google Scholar 

  • Hasson S, Böhner J, Lucarini V (2017) Prevailing climatic trends and runoff response from Hindukush–Karakoram–Himalaya, upper Indus Basin. Earth Syst Dyn 8:337–355

    Article  Google Scholar 

  • Hasson S, Lucarini V, Khan MR, Petitta M, Bolch T, Gioli G (2014) Early 21st century snow cover state over the western river basins of the Indus River system. Hydrol Earth Syst Sci 18:4077–4100

    Article  Google Scholar 

  • Hasson S, Lucarini V, Pascale S (2013) Hydrological cycle over South and Southeast Asian river basins as simulated by PCMDI/CMIP3 experiments. Earth Syst Dyn 4:199–217

    Article  Google Scholar 

  • Hayat H, Akbar TA, Tahir AA, Hassan QK, Dewan A, Irshad M (2019) Simulating Current and Future River-Flows in the Karakoram and Himalayan Regions of Pakistan Using Snowmelt-Runoff Model and RCP Scenarios. Water 11:761

    Article  Google Scholar 

  • Hewitt K (2011) Glacier change, concentration, and elevation effects in the Karakoram Himalaya Upper Indus Basin. Mt Res Dev 31:188–200

    Article  Google Scholar 

  • Huffman GJ, Bolvin DT (2013) TRMM and other data precipitation data set documentation NASA, Greenbelt, USA 28:1

  • Hussain S, Song X, Ren G, Hussain I, Han D, Zaman M (2017) Evaluation of gridded precipitation data in the Hindu Kush–Karakoram–Himalaya mountainous area. Hydrol Sci J 62:2393–2405

    Article  Google Scholar 

  • Immerzeel W, Bierkens M (2012) Asia’s Water Balance. Nat Geosci 5:841

    Article  Google Scholar 

  • Immerzeel W, Wanders N, Lutz A, Shea J, Bierkens M (2015) Reconciling high-altitude precipitation in the upper Indus basin with glacier mass balances and runoff. Hydrol Earth Syst Sci 19:4673–4687

    Article  Google Scholar 

  • Immerzeel WW, Droogers P, De Jong S, Bierkens M (2009) Large-scale monitoring of snow cover and runoff simulation in Himalayan river basins using remote sensing. Remote Sens Environ 113:40–49

    Article  Google Scholar 

  • Iqbal Z, Shahid S, Ahmed K, Ismail T, Nawaz N (2019) Spatial distribution of the trends in precipitation and precipitation extremes in the sub-Himalayan region of Pakistan. Theor Appl Climatol 137:2755–2769

    Article  Google Scholar 

  • Jain SK, Agarwal PK, and Singh VP (2007) Hydrology and water resources of India (Vol. 57). Springer Science & Business Media

  • Janes TJ, Bush AB (2012) The role of atmospheric dynamics and climate change on the possible fate of glaciers in the Karakoram. J Clim 25:8308–8327

    Article  Google Scholar 

  • Kääb A, Berthier E, Nuth C, Gardelle J, Arnaud Y (2012) Contrasting patterns of early twenty-first-century glacier mass change in the Himalayas. Nature 488:495–498

    Article  Google Scholar 

  • Kääb A, Treichler D, Nuth C, Berthier E (2015) Brief communication: contending estimates of 2003–2008 glacier mass balance over the Pamir–Karakoram–Himalaya. The Cryosphere 9:557–564

    Article  Google Scholar 

  • Kendall MG (1948) Rank correlation methods

  • Khan AJ, Koch M (2018) Correction and informed regionalization of precipitation data in a high mountainous region (Upper Indus Basin) and its effect on SWAT-modelled discharge. Water 10:1557

    Article  Google Scholar 

  • Khattak MS, Babel M, Sharif M (2011) Hydro-Meteorological Trends in the Upper Indus River Basin in Pakistan. Clim Res 46:103–119

    Article  Google Scholar 

  • Krakauer NY, Lakhankar T, Dars GH (2019) Precipitation Trends over the Indus Basin. Climate 7:116

    Article  Google Scholar 

  • Latif Y, Yaoming M, Yaseen M (2018) Spatial Analysis of Precipitation Time Series over the Upper Indus Basin. Theor Appl Climatol 131:761–775

    Article  Google Scholar 

  • Li D, Yang K, Tang W, Li X, Zhou X, Guo D (2020) Characterizing precipitation in high altitudes of the western Tibetan plateau with a focus on major glacier areas. Int J Climatol 40(12):5114–5127

    Article  Google Scholar 

  • Lutz A, Immerzeel W, Kraaijenbrink P (2014) Gridded meteorological datasets and hydrological modelling in the Upper Indus Basin Final Report, for International Centre for Integrated Mountain Development (ICIMOD), FutureWater. Costerweg 1:6702

    Google Scholar 

  • Lutz AF, Immerzeel W, Kraaijenbrink P, Shrestha AB, Bierkens MF (2016) Climate change impacts on the upper Indus hydrology: sources, shifts and extremes. PloS one 11:e0165630

    Article  Google Scholar 

  • Lutz AF, Immerzeel WW, Kraaijenbrink PD, Shrestha AB, Bierkens MF (2016) Climate change impacts on the upper indus hydrology: sources, shifts and extremes. PloS one 11:e0165630

    Article  Google Scholar 

  • Madhura R, Krishnan R, Revadekar J, Mujumdar M, Goswami B (2015) Changes in Western Disturbances over the Western Himalayas in a Warming Environment. Clim Dyn 44:1157–1168

    Article  Google Scholar 

  • Mann HB (1945) Nonparametric tests against trend. Econometrica: Journal of the econometric society, 245–259

  • Masood M, Shakir AS, Azhar AH, Nabi G (2020) Assessment of real time, multi-satellite precipitation products under diverse climatic and topographic conditions. Asia Pac J Atmos Sci 56(4):577–591

    Article  Google Scholar 

  • Minallah S, Ivanov VY (2019) Interannual variability and seasonality of precipitation in the Indus River basin. J Hydrometeorol 20:379–395

    Article  Google Scholar 

  • Mukhopadhyay B, Khan A (2015) A reevaluation of the snowmelt and glacial melt in river flows within Upper Indus Basin and its significance in a changing climate. J Hydrol 527:119–132

    Article  Google Scholar 

  • Palaniswami S, Muthiah K (2018) Change Point Detection and Trend Analysis of Rainfall and Temperature Series over the Vellar River Basin. Pol J Environ Stud 27(4)

  • Pang H, Hou S, Kaspari S, Mayewski P (2014) Influence of regional precipitation patterns on stable isotopes in ice cores from the central Himalayas. Cryosphere 8:289–301

    Article  Google Scholar 

  • Petäjä T, O’Connor EJ, Moisseev D, Sinclair VA, Manninen AJ, Väänänen R, von Lerber A, Thornton JA, Nicoll K, Petersen W (2016) BAECC: a field campaign to elucidate the impact of biogenic aerosols on clouds and climate. Bull Am Meteorol Soc 97:1909–1928

    Article  Google Scholar 

  • Poloczanska E, Mintenbeck K, Portner HO, Roberts D, Levin LA (2018) The IPCC special report on the ocean and cryosphere in a changing climate. In 2018 Ocean Sciences Meeting. AGU

  • Rahman K, Shang S, Shahid M, Li J (2018) Developing an Ensemble Precipitation Algorithm from Satellite Products and Its Topographical and Seasonal Evaluations over Pakistan. Remote Sens 10:1835

    Article  Google Scholar 

  • Ranzi R, Michailidi EM, Tomirotti M, Crespi A, Brunetti M, Maugeri M (2021) A multi-century meteo-hydrological analysis for the Adda river basin (Central Alps). Part II: daily runoff (1845–2016) at different scales. Int J Climatol 41:181–199

    Article  Google Scholar 

  • Reggiani P, Rientjes T (2015) A Reflection on the Long-Term Water Balance of the Upper Indus Basin. Hydrol Res 46:446–462

    Article  Google Scholar 

  • Ridley J, Wiltshire A, Mathison C (2013) More frequent occurrence of westerly disturbances in Karakoram up to 2100. Sci Total Environ 468:S31–S35

    Article  Google Scholar 

  • Rizwan M, Li X, Jamal K, Chen Y, Chauhdary JN, Zheng D, Anjum L, Ran Y, Pan X (2019) Precipitation variations under a changing climate from 1961–2015 in the Source Region of the Indus River. Water 11:1366

    Article  Google Scholar 

  • Saha S, Moorthi S, Pan H-L, Wu X, Wang J, Nadiga S, Tripp P, Kistler R, Woollen J, Behringer D (2010) The NCEP climate forecast system reanalysis. Bull Am Meteor Soc 91:1015–1058

    Article  Google Scholar 

  • Sen P (1968) Estimates of the Regression Coefficient based on Kendall’s Tau. J Amer Statist Assoc 63:1379–1389

    Article  Google Scholar 

  • Shafeeque M, Luo Y, Wang X, Sun L (2019) Revealing vertical distribution of precipitation in the glacierized Upper Indus Basin based on multiple datasets. J Hydrometeorol 20:2291–2314

    Article  Google Scholar 

  • Sharif M, Archer D, Fowler H, Forsythe N (2013) Trends in timing and magnitude of flow in the Upper Indus Basin. Hydrol Earth Syst Sci 17:1503–1516

    Article  Google Scholar 

  • Siddique M, Hashmi D (2012) Recent trends in high altitude temperatures and river flows in the Upper Indus Basin Centenary Celebration 714:149-166

  • Soncini A, Bocchiola D, Confortola G, Bianchi A, Rosso R, Mayer C, Lambrecht A, Palazzi E, Smiraglia C, Diolaiuti G (2015) Future hydrological regimes in the upper indus basin: a case study from a high-altitude glacierized catchment. J Hydrometeorol 16:306–326

    Article  Google Scholar 

  • Sun Q, Miao C, Duan Q, Ashouri H, Sorooshian S, Hsu KL (2018) A review of global precipitation data sets: data sources, estimation, and intercomparisons. Rev Geophys 56:79–107

    Article  Google Scholar 

  • Syed F, Giorgi F, Pal J, King M (2006) Effect of remote forcings on the winter precipitation of central southwest Asia part 1: observations. Theor Appl Climatol 86:147–160

    Article  Google Scholar 

  • Tabari H, Talaee PH (2011) Recent Trends of Mean Maximum and Minimum Air Temperatures in the Western Half of Iran. Meteorol Atmos Phys 111:121–131

    Article  Google Scholar 

  • Tarek M, Brissette FP, Arsenault R (2020) Evaluation of the ERA5 reanalysis as a potential reference dataset for hydrological modelling over North America. Hydrol Earth Sys Sci 24(5):2527–2544

    Article  Google Scholar 

  • Theil H (1950) A rank-invariant method of linear and polynomial regression analysis. Indag Math 12(85):173

    Google Scholar 

  • Ullah S, You Q, Ullah W, Ali A (2018) Observed changes in precipitation in China-Pakistan economic corridor during 1980–2016. Atmos Res 210:1–14

    Article  Google Scholar 

  • Winiger M, Gumpert M, Yamout H (2005) Karakorum–Hindukush–western Himalaya: assessing high-altitude water resources. Hydrol Process 19:2329–2338

    Article  Google Scholar 

  • Wortmann M, Bolch T, Menz C, Tong J, Krysanova V (2018) Comparison and correction of high-mountain precipitation data based on glacio-hydrological modeling in the Tarim River headwaters (High Asia). J Hydrometeorol 19:777–801

    Article  Google Scholar 

  • Yaseen M, Ahmad I, Guo J, Azam MI, Latif Y (2020). Spatiotemporal variability in the hydrometeorological time-series over Upper Indus River Basin of Pakistan. Advances in Meteorology

  • Yatagai A, Kamiguchi K, Arakawa O, Hamada A, Yasutomi N, Kitoh A (2012) APHRODITE: constructing a long-term daily gridded precipitation dataset for Asia based on a dense network of rain gauges. Bull Am Meteorol Soc 93:1401–1415

    Article  Google Scholar 

  • You Q-L, Ren G-Y, Zhang Y-Q, Ren Y-Y, Sun X-B, Zhan Y-J, Shrestha AB, Krishnan R (2017) An overview of studies of observed climate change in the Hindu Kush Himalayan (HKH) region. Adv Clim Chang Res 8:141–147

    Article  Google Scholar 

  • Zaman M, Ahmad I, Usman M, Saifullah M, Anjum MN, Khan MI, Uzair Qamar M (2020) Event-based time distribution patterns, return levels, and their trends of extreme precipitation across Indus Basin. Water 12:3373

    Article  Google Scholar 

  • Zaman M, Fang G, Mehmood K, Saifullah M (2015) Trend change study of climate variables in Xin’anjiang-Fuchunjiang Watershed, China. Advances in Meteorology 2015

  • Zaman M, Fang G, Saifullah M, Javed Q (2016) Seasonal and Annual Precipitation Trend Prediction in Xin’anjiang China. Fresen Environ Bull 25:89–102

    Google Scholar 

  • Zaman M, Ahmad I, Usman M, Saifullah M, Anjum MN, Khan MI, Uzair Qamar M (2020b) Event-based time distribution patterns, return levels, and their trends of extreme precipitation across Indus Basin. Water 12(12):3373

    Article  Google Scholar 

  • Zhang A, Zheng C, Wang S, Yao Y (2015) Analysis of streamflow variations in the Heihe River Basin, northwest China: trends, abrupt changes, driving factors and ecological influences. J Hydrol Reg Stud 3:106–124

    Article  Google Scholar 

Download references

Acknowledgements

The study covers one part of Ph.D. research work funded by the University of Brescia, Italy. The authors highly appreciate the Pakistan Meteorological Department (PMD), Water and Power Development Authority (WAPDA), and China Meteorological Data Sharing Network (CMDSN) for providing reliable data for our study and helping to publish valuable information.

Funding

The Ph.D. research work was funded by the University of Brescia, Italy.

Author information

Authors and Affiliations

Authors

Contributions

L.M.U. and R.R. contributed to the formal analysis, methodology, investigations, and validation. L.M.U. contributed to the data handling in software, examining the results, and writing—original draft preparation. Ul., S.H., and G.G. contributed to the visualization, verify results, and writing and editing. The authors have read and agreed to the published version of the manuscript.

Corresponding author

Correspondence to Muhammad Usman Liaqat.

Ethics declarations

Ethics approval

Not applicable.

Consent to participate

Not applicable.

Consent for publication

Not applicable.

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 3272 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liaqat, M.U., Grossi, G., Hasson, S.u. et al. Characterization of interannual and seasonal variability of hydro-climatic trends in the Upper Indus Basin. Theor Appl Climatol 147, 1163–1184 (2022). https://doi.org/10.1007/s00704-021-03850-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00704-021-03850-3

Navigation