[1]于海超,张扬,马金珠,等.1969—2018年黄河实测径流与天然径流的变化[J].水土保持通报,2020,40(5):1-7.
Yu H C, Zhang Y, Ma J Z, et al. Variation of observed and natural runoff of Yellow River from 1969 to 2018[J]. Bulletin of Soil and Water Conservation, 2020,40(5):1-7.
[2]马柱国.黄河径流量的历史演变规律及成因[J].地球物理学报,2005,48(6):1270-1275.
Ma Z G. Historical regular patterns of the discharge in the Yellow River and the cause of their formation[J]. Chinese Journal of Geophysics, 2005,48(6):1270-1275.
[3]高航,姚文艺,张晓华.黄河上中游近期水沙变化分析[J].华北水利水电学院学报,2009,30(5):8-12.
Gao H, Yao W Y, Zhang X H. Analysis on short-term variation of runoff and sediment load in the upper and middle reaches of Yellow River[J]. Journal of North China Institute of Water Conservancy and Hydroelectric Power, 2009,30(5):8-12.
[4]白夏,王义民,戚晓明,等.黄河上游径流统计特征及演变规律分析[J].人民黄河,2016,38(9):4-7.
Bai X, Wang Y M, Qi X M, et al. Analysis of statistical characteristics and evolution law of runoff in the upper Yellow River[J]. Yellow River, 2016,38(9):4-7.
[5]Liu Y, Song H M, An Z S, et al. Recent anthropogenic curtailing of Yellow River runoff and sediment load is unprecedented over the past 500 y[J]. Proceedings of the National Academy of Sciences of the United States of America, 2020,117(31):18251-18257.
[6]吕明侠,王一博,吴川东,等.祖厉河河源区径流、泥沙对气候的响应研究[J].水资源与水工程学报,2020,31(2):87-94.
Lü M X, Wang Y B, Wu C D, et al. Study on the response of runoff and sediment to climate change in the Zuli River source area[J]. Journal of Water Resources and Water Engineering, 2020,31(2):87-94.
[7]苏贤保,李勋贵,王义鹏,等.多时间尺度下黄河上游径流复杂度变化特征研究[J].水资源与水工程学报,2021,32(5):1-10.
Su X B, Li X G, Wang Y P, et al. Change characteristics of runoff complexity in the upper reaches of the Yellow River under multiple time scales[J]. Journal of Water Resources and Water Engineering, 2021,32(5):1-10.
[8]王彦君,王随继,苏腾.降水和人类活动对松花江径流量变化的贡献率[J].自然资源学报,2015,30(2):304-314.
Wang Y J, Wang S J, Su T. Contributions of precipitation and human activities to runoff change in the Songhua River Basin[J]. Journal of Natural Resources, 2015,30(2):304-314.
[9]Liu H, Wang Z, Ji G X, et al. Quantifying the impacts of climate change and human activities on runoff in the Lancang River Basin based on the Budyko hypothesis[J]. Water, 2020,12(12):3501.
[10]Lei X Y, Gao L, Wei J H, et al. Contributions of climate change and human activities to runoff variations in the Poyang Lake Basin of China[J]. Physics and Chemistry of the Earth, Parts A/B/C, 2021,123:103019.
[11]张亚丽,王栋华,田义超,等.广西北部湾入海流域径流演变特征及其对气候变化和人类活动的响应[J].广西科学,2022,29(5):971-983.
Zhang Y L, Wang D H, Tian Y C, et al. Variation characteristics of runoff in basin entering the sea in the Beibu Gulf of Guangxi and its response to climate change and human activities[J]. Guangxi Sciences, 2022,29(5):971-983.
[12]Ramsay J O, Silverman B W. Functional data analysis[M]. New York:Springer, 2005.
[13]王德青,刘宵,王许,等.中国实时金融状况指数的另一种测度:基于函数型数据分析方法[J].金融发展研究,2021(10):14-22.
Wang D Q, Liu X, Wang X, et al. Another measurement of Chinese real-time Financial Condition Index:based on functional data analysis method[J]. Journal of Financial Development Research, 2021(10):14-22.
[14]王华强,刘黎明.基于函数型数据的利率与物价关系研究[J].数理统计与管理,2024,43(3):452-464.
Wang H Q, Liu L M. Research on the relationship between interest rate and price based on functional data[J]. Journal of Applied Statistics and Management, 2024,43(3):452-464.
[15]剡亮亮.基于函数性视角的经济数据分析:以主微分分析方法为例[J].统计与信息论坛,2013,28(1):40-46.
Yan L L. Economic data analysis based on functional viewpoint:by the principal differential analysis[J]. Journal of Statistics and Information, 2013,28(1):40-46.
[16]高海燕,黄恒君,王宇辰.基于非负矩阵分解的函数型聚类算法[J].统计研究,2020,37(8):91-103.
Gao H Y, Huang H J, Wang Y C. Functional clustering algorithm based on non-negative matrix factorization[J]. Statistical Research, 2020,37(8):91-103.
[17]Han Z Q, Zuo Q T, Wang C Q, et al. Impacts of climate change on natural runoff in the Yellow River Basin of China during 1961—2020[J]. Water, 2023,15(5):929.
[18]冯家豪,赵广举,穆兴民,等.黄河中游区间干支流径流变化特征与归因分析[J].水力发电学报,2020,39(8):90-103.
Feng J H, Zhao G J, Mu X M, et al. Analysis on runoff regime in middle Yellow River and its driving factors[J]. Journal of Hydroelectric Engineering, 2020,39(8):90-103.
[19]贾何佳,李谢辉,文军,等.黄河源区径流变化模拟及未来趋势预估[J].资源科学,2022,44(6):1292-1304.
Jia H J, Li X H, Wen J, et al. Runoff change simulation and future trend projection in the source area of the Yellow River[J]. Resources Science, 2022,44(6):1292-1304.
[20]Zeng B, Zhang F G, Zeng W F, et al. Spatiotemporal heterogeneity in runoff dynamics and its drivers in a water conservation area of the upper Yellow River Basin over the past 35 years[J]. Remote Sensing, 2022,14(15):3628.
[21]梁鹏飞,李宗杰,辛惠娟,等.黄河源区径流变化特征及影响因素研究[J].水资源与水工程学报,2022,33(4):64-71.
Liang P F, Li Z J, Xin H J, et al. Characteristics of runoff changes and influencing factors in the source region of the Yellow River[J]. Journal of Water Resources and Water Engineering, 2022,33(4):64-71.
[22]郑金丽,严子奇,李东,等.黄河流域降雨-径流关系时空演变研究[J].水资源与水工程学报,2021,32(4):77-85,92.
Zheng J L, Yan Z Q, Li D, et al. Spatio-temporal evolution of the rainfall-runoff relationship in the Yellow River Basin[J]. Journal of Water Resources and Water Engineering, 2021,32(4):77-85,92.
[1]张克新,董小刚,廖空太,等.1960-2017年黄河流域极端气温的季节变化特征及其与ENSO的相关性分析[J].水土保持研究,2020,27(02):185.
ZHANG Kexin,DONG Xiaogang,LIAO Kongtai,et al.Characteristics of Seasonal Changes in Extreme Temperature and Their Relativity with ENSO in the Yellow River Basin from 1960 to 2017[J].Research of Soil and Water Conservation,2020,27(02):185.
[2]梁守真,隋学艳,王 猛,等.基于SPEI的黄河流域多时间尺度干湿变化分析[J].水土保持研究,2022,29(01):231.
LIANG Shouzhen,SUI Xueyan,WANG Meng,et al.Multiple Time Scales Analysis of Dryness and Wetness Changes of the Yellow River Basin in the Past 50 Years Based on SPEI Data[J].Research of Soil and Water Conservation,2022,29(02):231.
[3]付含培,王让虎,王晓军.1999—2018年黄河流域NDVI时空变化及驱动力分析[J].水土保持研究,2022,29(02):145.
FU Hanpei,WANG Ranghu,WANG Xiaojun.Analysis of Spatiotemporal Variations and Driving Forces of NDVI in the Yellow River Basin During 1999—2018[J].Research of Soil and Water Conservation,2022,29(02):145.
[4]慎璐璐,杨艳芬,吴 晶,等.黄河流域极端气候事件时空变化规律[J].水土保持研究,2022,29(02):231.
SHEN Lulu,YANG Yanfen,WU Jing,et al.Spatial and Temporal Variation Characteristics of Extreme Climate Events in the Yellow River Basin[J].Research of Soil and Water Conservation,2022,29(02):231.
[5]马亚丽,张 芮,孙栋元,等.黄河流域甘肃段地表干湿时空变化及驱动因子分析[J].水土保持研究,2023,30(02):135.[doi:10.13869/j.cnki.rswc.2023.02.037]
MA Yali,ZHANG Rui,SUN Dongyuan,et al.Spatiotemporal Variation and Driving Factors of Surface Wetness Index in Gansu Section of Yellow River Basin[J].Research of Soil and Water Conservation,2023,30(02):135.[doi:10.13869/j.cnki.rswc.2023.02.037]
[6]夏 冰,马鹏宇,徐 聪,等.近20年黄河流域植被净初级生产力时空分布及其对极端天气变化的时空响应[J].水土保持研究,2023,30(02):256.[doi:10.13869/j.cnki.rswc.2023.02.009]
XIA Bing,MA Pengyu,XU Cong,et al.Spatiotemporal Variation of NPP and Its Response to Extreme Climate Indices in Yellow River Basin in Recent 20 Years[J].Research of Soil and Water Conservation,2023,30(02):256.[doi:10.13869/j.cnki.rswc.2023.02.009]
[7]刘金凤,吴文恒,万 赟,等.近20年黄河流域城乡耦合协调的演化特征及影响因素[J].水土保持研究,2023,30(03):413.[doi:10.13869/j.cnki.rswc.2023.03.031]
LIU Jinfeng,WU Wenheng,WAN Yun,et al.Evolutionary Characteristics and Influencing Factors of Urban-Rural Coupling Coordination in Yellow River Basin in Recent 20 Years[J].Research of Soil and Water Conservation,2023,30(02):413.[doi:10.13869/j.cnki.rswc.2023.03.031]
[8]马亚丽,牛最荣,张 芮,等.洮河流域径流输沙演变与降雨及降雨侵蚀力的关系[J].水土保持研究,2023,30(04):90.[doi:10.13869/j.cnki.rswc.2023.04.025.]
MA Yali,NIU Zuirong,ZHANG Rui,et al.Relationship Between the Evolution of Runoff and Sediment and Rainfall and Rainfall Erosivity in the Taohe River Basin[J].Research of Soil and Water Conservation,2023,30(02):90.[doi:10.13869/j.cnki.rswc.2023.04.025.]
[9]李 雪,于坤霞,李 鹏,等.黄河流域不同水资源区降雨集中度时空演变与驱动力[J].水土保持研究,2023,30(05):266.[doi:10.13869/j.cnki.rswc.2023.05.008.]
LI Xue,YU Kunxia,LI Peng,et al.Spatiotemporal Evolution and Driving Force of Rainfall Concentration in the Yellow River Basin[J].Research of Soil and Water Conservation,2023,30(02):266.[doi:10.13869/j.cnki.rswc.2023.05.008.]
[10]赵金彩,潘 涛.基于多时间尺度的黄河流域植被NPP时空特征及其对气候变化的响应[J].水土保持研究,2024,31(04):214.[doi:10.13869/j.cnki.rswc.2024.04.008]
Zhao Jincai,Pan Tao.Spatiotemporal Variation of Multiple Time-Scale NPP and Its Response to Climate Change in the Yellow River Basin[J].Research of Soil and Water Conservation,2024,31(02):214.[doi:10.13869/j.cnki.rswc.2024.04.008]
收稿日期:2024-04-09 修回日期:2024-05-06 接受日期:2024-05-21
资助项目:国家社会科学基金(19XTJ002); 甘肃省自然科学基金(23JRRA1186); 兰州财经大学科研项目(Lzufe2023C-005)
第一作者:高海燕(1980—),女,甘肃金昌人,博士,教授,主要从事函数型数据分析与应用研究。E-mail:gaohy_54@sina.com