Budyko, M. I.: Climate and life, Academic Press, New York, ISBN 0-12-219150-8, 1974.
Chen, S. and Ruan, X.: A hybrid Budyko-type regression framework for estimating baseflow from climate and catchment attributes, Journal of Hydrology, 618, https://doi.org/10.1016/j.jhydrol.2023.129118, 2023.
Cheng, S., Cheng, L., Liu, P., Zhang, L., Xu, C., Xiong, L., and Xia, J.: Evaluation of baseflow modelling structure in monthly water balance models using 443 Australian catchments, Journal of Hydrology, 591, https://doi.org/10.1016/j.jhydrol.2020.125572, 2020.
Cheng, S., Cheng, L., Liu, P., Qin, S., Zhang, L., Xu, C., Xiong, L., Liu, L., and Xia, J.: An analytical baseflow coefficient curve for depicting the spatial variability of mean annual catchment baseflow, Water Resources Research, 57, https://doi.org/10.1029/2020wr029529, 2021.
Cheng, S., Cheng, L., Qin, S., Zhang, L., Liu, P., Liu, L., Xu, Z., and Wang, Q.: Improved understanding of how catchment properties control hydrological partitionin
g through machine learning, Water Resources Research, 58, https://doi.org/10.1029/2021wr031412, 2022.
Choudhury, B. J.: Evaluation of an empirical equation for annual evaporation using field observations and results from a biophysical model, Journal of Hydrology, 216, 99–110, https://doi.org/10.1016/S0022-1694(98)00293-5, 1999.
de Graaf, I. E. M., Gleeson, T., van Beek, L. P. H., Sutanudjaja, E. H., and Bierkens, M. F. P.: Environmental flow limits to global groundwater pumping, Nature, 574, 90–94, https://doi.org/10.1038/s41586-019-1594-4, 2019.
Fan, Y., Li, H., and Miguez-Macho, G.: Global patterns of groundwater table depth, Science, 339, 940–943, https://doi.org/10.1126/science.1229881, 2013.
Ficklin, D. L., Robeson, S. M., and Knouft, J. H.: Impacts of recent climate change on trends in baseflow and stormflow in United States watersheds, Geophysical Research Letters, 43, 5079–5088, https://doi.org/10.1002/2016gl069121, 2016.
Gnann, S. J.: Baseflow generation at the catchment scale: an investigation using comparative hydrology, PhD thesis, University of Bristol, the United Kingdom,
https://research-information.bris.ac.uk/en/studentTheses/baseflow-generation-at-the-catchment-scale-an-investigation-using/ (last access: 25 January 2026), 2021.
Hale, C. A., Carling, G. T., Nelson, S. T., Fernandez, D. P., Brooks, P. D., Rey, K. A., Tingey, D. G., Packer, B. N., and Aanderud, Z. T.: Strontium isotope dynamics reveal streamflow contributions from shallow flow paths during snowmelt in a montane watershed, Provo River, Utah, USA, Hydrological Processes, 36, https://doi.org/10.1002/hyp.14458, 2022.
Hall, F. R.: Base-flow recessions-a review, Water Resources Research, 4, 973, https://doi.org/10.1029/WR004i005p00973, 1968.
Han, J., Yang, Y., Roderick, M. L., McVicar, T. R., Yang, D., Zhang, S., and Beck, H. E.: Assessing the steady-state assumption in water balance calculation across global catchments, Water Resources Research, 56, https://doi.org/10.1029/2020wr027392, 2020.
Han, P., Sankarasubramanian, A., Wang, X., Wan, L., and Yao, L.: One-parameter analytical derivation in modified Budyko framework for unsteady-state streamflow elasticity in humid catchments, Water Resources Research, 59, https://doi.org/10.1029/2023wr034725, 2023.
Harman, C. J., Troch, P. A., and Sivapalan, M.: Functional model of water balance variability at the catchment scale: 2. Elasticity of fast and slow runoff components to precipitation change in the continental United States, Water Resources Research, 47, https://doi.org/10.1029/2010wr009656, 2011.
He, Y., Hu, Y., Song, J., and Jiang, X.: Variation of runoff between southern and northern China and their attribution in the Qinling Mountains, China, Ecological Engineering, 17, https://doi.org/10.1016/j.ecoleng.2021.106374, 2021.
He, Y., Yang, H., Liu, Z., and Yang, W.: A framework for attributing runoff changes based on a monthly water balance model: An assessment across China, Journal of Hydrology, 615, 128606, https://doi.org/10.1016/j.jhydrol.2022.128606, 2022.
He, Y., Yang, H., and Li, C.: Long-term variations and regional disparities in baseflow during 1960–2021 across China, Journal of Hydrology, 663, 134297, https://doi.org/10.1016/j.jhydrol.2025.134297, 2025.
Hellwig, J. and Stahl, K.: An assessment of trends and potential future changes in groundwater-baseflow drought based on catchment response times, Hydrology and Earth System Sciences, 22, 6209–6224, https://doi.org/10.5194/hess-22-6209-2018, 2018.
Horton, R. E.: The role of infiltration in the hydrological cycle, Eos, Transactions American Geophysical Union, 14, 446–460, 1933.
Huang, M., Gallichand, J., Dong, C., Wang, Z., and Shao, M.: Use of soil moisture data and curve number method for estimating runoff in the Loess Plateau of China, Hydrological Processes, 21, 1471–1481, https://doi.org/10.1002/hyp.6312, 2007.
Huang, T., Yu, D., Cao, Q., and Qiao, J.: Impacts of meteorological factors and land use pattern on hydrological elements in a semi-arid basin, Science of the Total Environment, 690, 932–943, https://doi.org/10.1016/j.scitotenv.2019.07.068, 2019.
Huang, Z., Yang, H., and Yang, D.: Dominant climatic factors driving annual runoff changes at the catchment scale across China, Hydrology and Earth System Sciences, 20, 2573–2587, https://doi.org/10.5194/hess-20-2573-2016, 2016.
Kaleris, V. and Langousis, A.: Comparison of two rainfall-runoff models: effects of conceptualization on water budget components, Hydrological Sciences Journal-Journal Des Sciences Hydrologiques, 62, 729–748, https://doi.org/10.1080/02626667.2016.1250899, 2017.
L'vovich, M. I.: World water resources and their future, Washington, American Geophysical Union, https://doi.org/10.1029/SP013, 1979.
Lee, S. H. Y. and Ajami, H.: Comprehensive assessment of baseflow responses to long-term meteorological droughts across the United States, Journal of Hydrology, 626, https://doi.org/10.1016/j.jhydrol.2023.130256, 2023.
Li, C., He, Y., and Yang, H.: Ancillary data for article “The general formulation for runoff components estimation and attribution at mean annual time scale”, Zenodo [data set], https://doi.org/10.5281/zenodo.11058118, 2024.
Li, X., Zhang, K., Gu, P., Feng, H., Yin, Y., Chen, W., and Cheng, B.: Changes in precipitation extremes in the Yangtze River Basin during 1960–2019 and the association with global warming, ENSO, and local effects, Science of the Total Environment, 760, https://doi.org/10.1016/j.scitotenv.2020.144244, 2021.
Li, Z., Huang, S., Liu, D., Leng, G., Zhou, S., and Huang, Q.: Assessing the effects of climate change and human activities on runoff variations from a seasonal perspective, Stochastic Environmental Research and Risk Assessment, 34, 575–592, https://doi.org/10.1007/s00477-020-01785-1, 2020.
Liu, J., Zhang, Q., Feng, S., Gu, X., Singh, V. P., and Sun, P.: Global attribution of runoff variance across multiple timescales, Journal of Geophysical Research-Atmospheres, 124, 13962–13974, https://doi.org/10.1029/2019jd030539, 2019.
Liu, Z., Yang, H., and Wang, T.: A simple framework for estimating the annual runoff frequency distribution under a non-stationarity condition, Journal of Hydrology, 592, 125550, https://doi.org/10.1016/j.jhydrol.2020.125550, 2021.
Lyne, V.D. and Hollick, M.: Stochastic time-variable rainfall runoff modelling, in: Hydrology and Water Resources Symposium, Institution of Engineers, Australia, 82–92, https://doi.org/10.1007/s12665-013-2358-3, 1979.
Mallakpour, I. and Villarini, G.: Analysis of changes in the magnitude, frequency, and seasonality of heavy precipitation over the contiguous USA, Theoretical and Applied Climatology, 130, 345–363, https://doi.org/10.1007/s00704-016-1881-z, 2017.
Massoud, E. C., Lee, H., Gibson, P. B., Loikith, P., and Waliser, D. E.: Bayesian model averaging of climate model projections constrained by precipitation observations over the contiguous United States, Journal of Hydrometeorology, 21, 2401–2418, https://doi.org/10.1175/JHM-D-19-0258.1, 2020.
Milly, P. C. D. and Dunne, K. A.: Macroscale water fluxes 2. Water and energy supply control of their interannual variability, Water Resources Research, 38, 24-1–24-9, https://doi.org/10.1029/2001WR000760, 2002.
Neto, A. A. M., Roy, T., de Oliveira, P. T. S., and Troch, P. A.: An aridity index-based formulation of streamflow components, Water Resources Research, 56, https://doi.org/10.1029/2020wr027123, 2020.
Newman, A. J., Clark, M. P., Sampson, K., Wood, A., Hay, L. E., Bock, A., Viger, R. J., Blodgett, D., Brekke, L., Arnold, J. R., Hopson, T., and Duan, Q.: Development of a large-sample watershed-scale hydrometeorological data set for the contiguous USA: data set characteristics and assessment of regional variability in hydrologic model performance, Hydrol. Earth Syst. Sci., 19, 209–223, https://doi.org/10.5194/hess-19-209-2015, 2015.
Ning, T., Feng, Q., and Qin, Y.: Recent variations in the seasonality difference between precipitation and potential evapotranspiration in China, International Journal of Climatology, 42, 3616–3632, https://doi.org/10.1002/joc.7435, 2022.
Penman, H. L.: Natural evaporation from open water, bare soil and grass, Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 193, 120, https://doi.org/10.1098/rspa.1948.0037, 1948.
Pimentel, R., Arheimer, B., Crochemore, L., Andersson, J. C. M., Pechlivanidis, I. G., and Gustafsson, D.: Which potential evapotranspiration formula to use in hydrological modeling world-wide?, Water Resources Research, 59, https://doi.org/10.1029/2022WR033447, 2023.
Ponce, V. M. and Shetty, A. V.: A conceptual-model of catchment cater-balance. 1. Formulation and calibration, Journal of Hydrology, 173, 27–40, https://doi.org/10.1016/0022-1694(95)02739-c, 1995.
Price, K., Jackson, C. R., Parker, A. J., Reitan, T., Dowd, J., and Cyterski, M.: Effects of watershed land use and geomorphology on stream low flows during severe drought conditions in the southern Blue Ridge Mountains, Georgia and North Carolina, United States, Water Resources Research, 47, https://doi.org/10.1029/2010wr009340, 2011.
Roderick, M. L. and Farquhar, G. D.: A simple framework for relating variations in runoff to variations in climatic conditions and catchment properties, Water Resources Research, 47, https://doi.org/10.1029/2010WR009826, 2011.
Schaake, J. C.: From climate to flow, in: climate change and U.S. Water Resources, edited by: Waggoner, P. E., New York, ISBN 978-0-471-62174-4, 1990.
Schiavo, M.: The role of different sources of uncertainty on the stochastic quantification of subsurface discharges in heterogeneous aquifers, Journal of Hydrology, 617, 128930, https://doi.org/10.1016/j.jhydrol.2022.128930, 2023.
SCS: National Engineering Handbook, section 4, Soil Conservation Service USDA, Washington, DC,
https://irrigationtoolbox.com/NEH/Part 630 Hydrology/neh630-ch21.pdf (last access: 25 January 2026), 1972.
Shen, Y. and Xiong, A.: Validation and comparison of a new gauge-based precipitation analysis over mainland China, International Journal of Climatology, 36, 252–265, https://doi.org/10.1002/joc.4341, 2016.
Shi, W., Huang, M., Gongadze, K., and Wu, L.: A modified SCS-CN method incorporating storm duration and antecedent soil moisture estimation for runoff prediction, Water Resources Management, 31, 1713–1727, https://doi.org/10.1007/s11269-017-1610-0, 2017.
Singh, S. K., Pahlow, M., Booker, D. J., Shankar, U., and Chamorro, A.: Towards baseflow index characterisation at national scale in New Zealand, Journal of Hydrology, 568, 646–657, https://doi.org/10.1016/j.jhydrol.2018.11.025, 2019.
Sivapalan, M., Yaeger, M. A., Harman, C. J., Xu, X., and Troch, P. A.: Functional model of water balance variability at the catchment scale: 1. Evidence of hydrologic similarity and space-time symmetry, Water Resources Research, 47, https://doi.org/10.1029/2010wr009568, 2011.
Sun, Y., Tian, F., Yang, L., and Hu, H.: Exploring the spatial variability of contributions from climate variation and change in catchment properties to streamflow decrease in a mesoscale basin by three different methods, Journal of Hydrology, 508, 170–180, https://doi.org/10.1016/j.jhydrol.2013.11.004, 2014.
Troch, P. A., Martinez, G. F., Pauwels, V. R. N., Durcik, M., Sivapalan, M., Harman, C., Brooks, P. D., Gupta, H., and Huxman, T.: Climate and vegetation water use efficiency at catchment scales, Hydrological Processes, 23, 2409–2414, https://doi.org/10.1002/hyp.7358, 2009.
Wallace, S., Biggs, T., Lai, C. T., and McMillan, H.: Tracing sources of stormflow and groundwater recharge in an urban, semi-arid watershed using stable isotopes, Journal of Hydrology: Regional Studies, 34, 100806, https://doi.org/10.1016/j.ejrh.2021.100806, 2021.
Wang, D. and Wu, L.: Similarity of climate control on base flow and perennial stream density in the Budyko framework, Hydrology and Earth System Sciences, 17, 315–324, https://doi.org/10.5194/hess-17-315-2013, 2013.
Wang, H., Liu, J., Klaar, M., Chen, A., Gudmundsson, L., and Holden, J.: Anthropogenic climate change has influenced global river flow seasonality, Science, 383, 1009–1014, https://doi.org/10.1126/science.adi9501, 2024.
Wang, K., Bai, P., and Liu, X.: Three paradoxes related to potential evapotranspiration in a warming climate, Current Climate Change Reports, 11, 6, https://doi.org/10.1007/s40641-025-00203-4, 2025.
Wu, J., Miao, C., Duan, Q., Lei, X., Li, X., and Li, H.: Dynamics and attributions of baseflow in the semiarid Loess Plateau, Journal of Geophysical Research-Atmospheres, 124, 3684–3701, https://doi.org/10.1029/2018jd029775, 2019.
Wu, S., Zhao, J., Wang, H., and Sivapalan, M.: Regional patterns and physical controls of streamflow generation acros
s the conterminous United States, Water Resources Research, 57, https://doi.org/10.1029/2020WR028086, 2021.
Wu, Y., Fang, H., Huang, L., and Ouyang, W.: Changing runoff due to temperature and precipitation variations in the dammed Jinsha River, Journal of Hydrology, 582, https://doi.org/10.1016/j.jhydrol.2019.124500, 2020.
Xu, F., Zhou, Y., and Zhao, L.: Spatial and temporal variability in extreme precipitation in the Pearl River Basin, China from 1960 to 2018, International Journal of Climatology, 42, 797–816, https://doi.org/10.1002/joc.7273, 2022.
Xu, X., Yang, D., Yang, H., and Lei, H.: Attribution analysis based on the Budyko hypothesis for detecting the dominant cause of runoff decline in Haihe basin, Journal of Hydrology, 510, 530–540, https://doi.org/10.1016/j.jhydrol.2013.12.052, 2014.
Yang, H., Yang, D., Lei, Z., and Sun, F.: New analytical derivation of the mean annual water-energy balance equation, Water Resources Research, 44, https://doi.org/10.1029/2007wr006135, 2008.
Yang, H., Qi, J., Xu, X., Yang, D., and Lv, H.: The regional variation in climate elasticity and climate contribution to runoff across China, Journal of Hydrology, 517, 607–616, https://doi.org/10.1016/j.jhydrol.2014.05.062, 2014.
Yang, W., Long, D., and Bai, P.: Impacts of future land cover and climate changes on runoff in the mostly afforested river basin in North China, Journal of Hydrology, 570, 201–219, https://doi.org/10.1016/j.jhydrol.2018.12.055, 2019.
Ye, X., Xu, C., Zhang, D., and Li, X.: Variation of summer precipitation and its connection with Asian monsoon system in the Middle-lower Yangtze River Basin, Scientia Geographica Sinica, 38, 1174–1182, 2018.
Yin, J., Gentine, P., Zhou, S., Sullivan, S.C., Wang, R., Zhang, Y., and Guo, S.: Large increase in global storm runoff extremes driven by climate and anthropogenic changes, Nature Communications, 9, https://doi.org/10.1038/s41467-018-06765-2, 2018.
Zhang, D.: On the effects of seasonality of precipitation and potential evapotranspiration on catchment hydrologic partitioning, Ph.D. thesis, Tsinghua University, China, 150 pp.,
https://ecollection.lib.tsinghua.edu.cn/databasenav/entrance/detail?mmsid=991021703737103966 (last access: 25 January 2026), 2015.
Zhang, J., Zhang, Y., Song, J., and Cheng, L.: Evaluating relative merits of four baseflow separation methods in Eastern Australia, Journal of Hydrology, 549, 252–263, https://doi.org/10.1016/j.jhydrol.2017.04.004, 2017.
Zheng, M and Sun, J.: Recent change of runoff and its components of baseflow and surface runoff in response to climate change and human activities for the Lishui watershed of southern China, Geographical Research, 33, 237–250, https://doi.org/10.11821/dlyj201402004, 2014 (in Chinese).
Zuecco, G., Rinderer, M., Penna, D., Borga, M., and van Meerveld, H.J.: Quantification of subsurface hydrologic connectivity in four headwater catchments using graph theory, the Science of the Total Environment, 646, 1265–1280, https://doi.org/10.1016/j.scitotenv.2018.07.269, 2019.
