Runoff Change Attribution in MOPEX Basins Based on an Extended Budyko Equation

ZHU Hongyu; DONG Qianjin; YANG Zihao

doi:10.14188/j.1671-8844.2025.0253

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Runoff Change Attribution in MOPEX Basins Based on an Extended Budyko Equation

更新时间：2026-10-15

- Runoff Change Attribution in MOPEX Basins Based on an Extended Budyko Equation
- Engineering Journal of Wuhan University Pages: 1-11(2026)
- 作者机构：
  
  武汉大学水资源工程与调度全国重点实验室，湖北武汉 430072
- 作者简介：
- 基金信息：
- DOI：10.14188/j.1671-8844.2025.0253
  CLC： TV121
- Online First：15 October 2026，
- 稿件说明：
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ZHU Hongyu, DONG Qianjin, YANG Zihao. Runoff Change Attribution in MOPEX Basins Based on an Extended Budyko Equation[J/OL]. Engineering Journal of Wuhan University, 2026, 1-11.
DOI：

ZHU Hongyu, DONG Qianjin, YANG Zihao. Runoff Change Attribution in MOPEX Basins Based on an Extended Budyko Equation[J/OL]. Engineering Journal of Wuhan University, 2026, 1-11. DOI： 10.14188/j.1671-8844.2025.0253.

摘要

为提升Budyko模型在不同气候背景和流域条件下的适应性，本文以MOPEX数据集中252个流域为研究对象，通过引入水储量变化量来拓展Budyko方程，并探索水储量变化对基于Budyko方程径流模拟精度的影响；基于拓展的Budyko方程，采用分解法量化1949~2001年气候因素和人类活动对MOPEX数据集中选定流域的累积影响。结果表明：考虑水储量变化后，不同形式的Budyko方程（Fu方程、Choudhury-Yang方程和Wang-Tang方程）相应的纳什效率系数NSE平均值提高了约0.1；基于Choudhury-Yang方程选取流域中的多数流域（69.8%）受气候变化驱动更为显著，其它流域（30.2%）径流变化受人类活动影响明显。该研究将为美国及中国相似流域的水资源管理提供科学依据。

Abstract

To improve the adaptability of the Budyko model under varying climatic and watershed conditions

this study investigates 252 basins from the MOPEX dataset. By introducing changes in water storage

the Budyko equation is extended to assess the impact of water storage variation on runoff simulation accuracy. Using the extended Budyko framework

we apply a decomposition method to quantify the cumulative impacts of climate change and human activities on runoff during the period 1949–2001 in the selected MOPEX basins. Results show that incorporating water storage changes increases the average Nash–Sutcliffe efficiency (NSE) by approximately 0.1 for various Budyko-type formulations (Fu

Choudhury–Yang

and Wang–Tang equations). Based on the Choudhury–Yang equation

the majority of basins (69.8%) are dominated by climate change in driving runoff variation

while in the remaining 30.2% of basins

human activities exert a more pronounced influence. This study provides scientific support for water resource management in regions of the United States and China with similar hydrological and climatic characteristics.

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Keywords

references

耿庆玲 , 陈晓青 , 赫晓慧 , 等 . 中国不同植被类型归一化植被指数对气候变化和人类活动的响应 [J ] . 生态学报 , 2022 , 42 ( 09 ): 3557 - 3568 .

GENG Qingling , CHEN Xiaoqing , HE Xiaohui , et al . Response of NDVI to climate change and human activities in different vegetation types in China . Acta Ecologica Sinica , 2022 , 42 ( 09 ): 3557 – 3568 .

莫兴国 , 刘苏峡 , 胡实 . 黄河源区气候-植被-水文协同演变及成因辨析 [J ] . 地理学报 , 2022 , 77 ( 07 ): 1730 - 1744 .

MO Xingguo , LIU Suxia , HU Shi . Synergistic evolution and causative analysis of climate–vegetation–hydrology in the source region of the Yellow River . Acta Geographica Sinica , 2022 , 77 ( 07 ): 1730 – 1744 .

石晓丽 , 史文娇 . 气候变化和人类活动对耕地格局变化的贡献归因综述 [J ] . 地理学报 , 2015 , 70 ( 09 ): 1463 - 1476 .

SHI Xiaoli , SHI Wenjiao . A review of the attribution of climate change and human activities to cropland pattern change . Acta Geographica Sinica , 2015 , 70 ( 09 ): 1463 – 1476 .

杨元合 , 石岳 , 孙文娟 , 等 . 中国及全球陆地生态系统碳源汇特征及其对碳中和的贡献 [J ] . 中国科学:生命科学 , 2022 , 52 ( 04 ): 534 - 574 .

Yang Yuanhe , Shi Yue , Sun Wenjuan , et al . Characteristics of carbon sources and sinks in terrestrial ecosystems of China and the world and their contributions to carbon neutrality . Scientia Sinica Vitae , 2022 , 52 ( 04 ): 534 – 574 .

张强 , 姚玉璧 , 李耀辉 , 等 . 中国干旱事件成因和变化规律的研究进展与展望 [J ] . 气象学报 , 2020 , 78 ( 03 ): 500 – 521 .

ZHANG Qiang , YAO Yubi , LI Yaohui , et al . Research progress and prospects on causes and variation patterns of drought events in China . Acta Meteorologica Sinica , 2020 , 78 ( 03 ): 500 – 521 .

宋益涛 , 王双涛 , 罗平平 , 等 . 变化环境下径流演变的研究方法进展 [J ] . 水资源与水工程学报 , 2022 , 33 ( 02 ): 68 - 76+84 .

SONG Yitao , WANG Shuangtao , LUO Pingping , et al . Advances in research methods of runoff evolution under changing environment . Journal of Water Resources and Water Engineering , 2022 , 33 ( 02 ): 68 – 76+84 .

姜彤 , 孙赫敏 , 李修仓 , 等 . 气候变化对水文循环的影响 [J ] . 气象 , 2020 , 46 ( 03 ): 289 - 300 .

JIANG Tong , SUN Hemin , LI Xiucang , et al . Impacts of climate change on the hydrological cycle . Meteorological Monthly , 2020 , 46 ( 03 ): 289 – 300 .

莫淑红 , 王学凤 , 勾奎 , 等 . 气候变化和人类活动对灞河流域径流情势的影响分析 [J ] . 水力发电学报 , 2016 , 35 ( 09 ): 7 - 17 .

MO Shuhong , WANG Xuefeng , GOU Kui , et al . Impact analysis of climate change and human activities on runoff regime in the Bahe River Basin . Journal of Hydroelectric Engineering , 2016 , 35 ( 09 ): 7 – 17 .

何霄嘉 , 王国庆 , 鲍振鑫 . 气候、植被变化与水文循环响应研究进展及展望 [J ] . 水资源与水工程学报 , 2016 , 27 ( 02 ): 1 - 5 .

HE Xiaoji , WANG Guoqing , BAO Zhenxin . Advances and prospects of research on climate, vegetation change and hydrological response . Journal of Water Resources and Water Engineering , 2016 , 27 ( 02 ): 1 – 5 .

赵建华 , 舒卫民 , 王文军 . 金沙江下游-三峡梯级水库水文预报技术及应用 [J ] . 人民长江 , 2022 , 53 ( S2 ): 52 - 58 .

ZHAO Jianhua , SHU Weimin , WANG Wenjun . Hydrological forecasting techniques and applications for the Lower Jinsha River–Three Gorges Reservoir cascade . Yangtze River , 2022 , 53 ( S2 ): 52 – 58 .

陆文 , 唐家良 , 章熙锋 , 等 . 山地流域水文模拟研究进展与展望 [J ] . 山地学报 , 2020 , 38 ( 01 ): 50 - 61 .

LU Wen , TANG Jialiang , ZHANG Xifeng , et al . Research progress and prospects of hydrological modeling in mountainous basins . Mountain Research , 2020 , 38 ( 01 ): 50 – 61 .

徐宗学 . 水文模型:回顾与展望 [J ] . 北京师范大学学报(自然科学版) , 2010 , 46 ( 03 ): 278 - 289 .

XU Zongxue . Hydrological models: review and prospects . Journal of Beijing Normal University (Natural Science) , 2010 , 46 ( 03 ): 278 – 289 .

孙福宝 . 基于Budyko水热耦合平衡假设的流域蒸散发研究 [D ] . 清华大学 , 2007 .

SUN Fubao . Study on watershed evapotranspiration based on Budyko water-energy balance hypothesis [D ] . Tsinghua University , 2007 .

张建云 , 张成凤 , 鲍振鑫 , 等 . 黄淮海流域植被覆盖变化对径流的影响 [J ] . 水科学进展 , 2021 , 32 ( 06 ): 813 - 823 .

ZHANG Jianyun , ZHANG Chengfeng , BAO Zhenxin , et al . Impacts of vegetation cover change on runoff in the Huang-Huai-Hai River Basin . Advances in Water Science , 2021 , 32 ( 06 ): 813 – 823 .

杨林 , 赵广举 , 穆兴民 , 等 . 基于Budyko假设的洮河与大夏河径流变化归因识别 [J ] . 生态学报 , 2021 , 41 ( 21 ): 8421 - 8429 .

YANG Lin , ZHAO Guangju , MU Xingmin , et al . Attribution of runoff changes in the Taohe and Daxiahe River Basins based on the Budyko hypothesis . Acta Ecologica Sinica , 2021 , 41 ( 21 ): 8421 – 8429 .

彭涛 , 梅子祎 , 董晓华 , 等 . 基于Budyko假设的汉江流域径流变化归因 [J ] . 南水北调与水利科技(中英文) , 2021 , 19 ( 06 ): 1114 - 1124 .

PENG Tao , MEI Ziyi , DONG Xiaohua , et al . Attribution of runoff change in the Hanjiang River Basin based on the Budyko hypothesis . South-to-North Water Transfers and Water Science & Technology , 2021 , 19 ( 06 ): 1114 – 1124 .

张成凤 , 刘翠善 , 王国庆 , 等 . 基于Budyko假设的黄河源区径流变化归因识别 [J ] . 中国农村水利水电 , 2020 ( 09 ): 90 - 94 .

ZHANG Chengfeng , LIU Cuishan , WANG Guoqing , et al . Attribution of runoff change in the source region of the Yellow River based on the Budyko hypothesis . China Rural Water and Hydropower , 2020 ( 09 ): 90 – 94 .

李天生 , 夏军 . 基于Budyko理论分析珠江流域中上游地区气候与植被变化对径流的影响 [J ] . 地球科学进展 , 2018 , 33 ( 12 ): 1248 - 1258 .

LI Tiansheng , XIA Jun . Impacts of climate and vegetation changes on runoff in the upper and middle reaches of the Pearl River Basin based on the Budyko theory . Advances in Earth Science , 2018 , 33 ( 12 ): 1248 – 1258 .

Wang H , Lv X , Zhang M . Sensitivity and attribution analysis based on the Budyko hypothesis for streamflow change in the Baiyangdian catchment, China [J ] . Ecological Indicators , 2021 , 121 : 107221 .

Zheng J , He Y , Jiang X , et al . Attribution analysis of runoff variation in Kuye River Basin based on three Budyko methods [J ] . Land , 2021 , 10 ( 10 ): 1061 .

Hou K , Wang J , Wang X . Characteristic and attribution of runoff variation in the yanhe River Basin, Loess Plateau, based on the Budyko hypothesis [J ] . Water , 2022 , 14 ( 3 ): 495 .

韩鹏飞 , 王旭升 . 利用ABCD模型预测流域水文对极端气候的响应 [J ] . 人民黄河 , 2016 , 38 ( 11 ): 16 - 22 .

HAN Pengfei , WANG Xusheng . Prediction of watershed hydrological response to extreme climate using the ABCD model . Yellow River , 2016 , 38 ( 11 ): 16 – 22 .

姬广兴 , 刘智培 , 高红凯 , 等 . 1961-2020年赣江流域月尺度实际蒸发模拟及归因分析 [J ] . 水土保持研究 , 2025 , 32 ( 01 ): 195 - 202 .

JI Guangxing , LIU Zhipei , GAO Hongkai , et al . Simulation and attribution analysis of monthly actual evapotranspiration in the Ganjiang River Basin from 1961 to 2020 . Research of Soil and Water Conservation , 2025 , 32 ( 01 ): 195 – 202 .

Condon L E , Maxwell R M . Systematic shifts in Budyko relationships caused by groundwater storage changes [J ] . Hydrology and Earth System Sciences , 2017 , 21 ( 2 ): 1117 - 1135 .

Cheng C , Liu W , Mu Z , et al . Lumped variable representing the integrative effects of climate and underlying surface system: Interpreting Budyko model parameter from earth system science perspective [J ] . Journal of Hydrology , 2023 , 620 : 129379 .

Wu C , Yeh P J F , Zhou J , et al . Controlling factors of evapotranspiration predictability under diverse climates with the effects of water storage change in the Budyko framework [J ] . Water Resources Research , 2024 , 60 ( 2 ): e2023WR034499 .

Liu J , Zhang Q , Singh V P , et al . Hydrological effects of climate variability and vegetation dynamics on annual fluvial water balance in global large river basins [J ] . Hydrology and Earth System Sciences , 2018 , 22 ( 7 ): 4047 - 4060 .

Zhang X , Dong Q , Cheng L , et al . A Budyko-based framework for quantifying the impacts of aridity index and other factors on annual runoff [J ] . Journal of Hydrology , 2019 , 579 : 124224 .

Mo C , Huang K , Ruan Y , et al . Quantifying uncertainty sources in runoff change attribution based on the Budyko framework [J ] . Journal of Hydrology , 2024 , 630 : 130790 .

Wu C , Yeh P J F , Wu H , et al . Global analysis of the role of terrestrial water storage in the evapotranspiration estimated from the Budyko framework at annual to monthly time scales [J ] . Journal of Hydrometeorology , 2019 , 20 ( 10 ): 2003 - 2021 .

Chen X , Alimohammadi N , Wang D . Modeling interannual variability of seasonal evaporation and storage change based on the extended Budyko framework [J ] . Water Resources Research , 2013 , 49 ( 9 ): 6067 - 6078 .

He Q , Fok H S , Ferreira V , et al . Three-dimensional Budyko framework incorporating terrestrial water storage: Unraveling water-energy dynamics, vegetation, and ocean-atmosphere interactions [J ] . Science of the Total Environment , 2023 , 904 : 166380 .

Zhang W , Liang W , Tian L , et al . Climatic and different human influences on annual and seasonal streamflow with considering the soil water storage change in the middle reaches of the Yellow River basin, China [J ] . Journal of Hydrology , 2023 , 619 : 129298

Wang D , Hejazi M . Quantifying the relative contribution of the climate and direct human impacts on mean annual streamflow in the contiguous United States [J ] . Water resources research , 2011 , 47 ( 10 ).

Napoli M , Massetti L , Orlandini S . Hydrological response to land use and climate changes in a rural hilly basin in Italy [J ] . Catena , 2017 , 157 : 1 - 11 .

Zhang Q , Sun P , Jiang T , et al . Spatio-temporal patterns of hydrological processes and their responses to human activities in the Poyang Lake basin, China [J ] . Hydrological Sciences Journal–Journal des Sciences Hydrologiques , 2011 , 56 ( 2 ): 305 - 318 .

Wang J , Chen X , Liu J , et al . Changes of precipitation‐runoff relationship induced by climate variation in a large glaciated basin of the Tibetan Plateau [J ] . Journal of Geophysical Research: Atmospheres , 2021 , 126 ( 21 ): e2020JD034367 .

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