综合利用GNSS PWV/垂向形变与GRACE/GRACE-FO数据反演综合干旱指数

doi:10.11947/j.AGCS.2025.20250129

测绘学报 ›› 2025, Vol. 54 ›› Issue (10): 1757-1768.doi: 10.11947/j.AGCS.2025.20250129

综合利用GNSS PWV/垂向形变与GRACE/GRACE-FO数据反演综合干旱指数

姚朝龙¹^,²^,³(), 游泓锐¹, 何玄晖¹, 陆钧雅¹, 谢依倩¹, 李琼²^,⁴(), 朱双⁵, 罗志才²^,⁶

^1.华南农业大学资源环境学院，广东　广州　510642
^2.华中科技大学精密重力测量研究设施，湖北　武汉　430074
^3.广东省土地信息工程技术研究中心，广东　广州　510642
^4.西南石油大学土木工程与测绘学院，四川　成都　610500
^5.华中科技大学土木与水利工程学院，湖北　武汉　430074
^6.国家精密重力测量科学中心，华中科技大学物理学院，湖北　武汉　430074

收稿日期:2025-03-24 修回日期:2025-10-18 出版日期:2025-11-14 发布日期:2025-11-14
通讯作者: 李琼 E-mail:clyao@scau.edu.cn;qiongli@swpu.edu.cn
作者简介:姚朝龙（1986—），男，博士，副教授，研究方向为水文、气象与干旱大地测量。E-mail：clyao@scau.edu.cn
基金资助:
国家自然科学基金(42474045);国家精密重力测量科学中心年度开放课题(PGMF-2024-Q003)

A composite drought index derived from a combination of GNSS PWV/vertical deformation and GRACE/GRACE-FO data

Chaolong YAO¹^,²^,³(), Hongrui YOU¹, Xuanhui HE¹, Junya LU¹, Yiqian XIE¹, Qiong LI²^,⁴(), Shuang ZHU⁵, Zhicai LUO²^,⁶

^1.College of Natural Resources and Environment, South China Agricultural University, Guangzhou 510642, China
^2.National Precise Gravity Measurement Facility, Huazhong University of Science and Technology, Wuhan 430074, China
^3.Guangdong Province Land Information Engineering Technology Research Center, South China Agricultural University, Guangzhou 510642, China
^4.School of Civil Engineering and Geomatics, Southwest Petroleum University, Chengdu 610500, China
^5.School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
^6.National Gravitation Laboratory, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2025-03-24 Revised:2025-10-18 Online:2025-11-14 Published:2025-11-14
Contact: Qiong LI E-mail:clyao@scau.edu.cn;qiongli@swpu.edu.cn
About author:YAO Chaolong (1986—), male, PhD, associate professor, majors in hydrological, meteorological and drought geodesy. E-mail: clyao@scau.edu.cn
Supported by:
The National Natural Science Foundation of China(42474045);The National Center for Precision Gravity Measurement Science Open Subject(PGMF-2024-Q003)

摘要/Abstract

摘要：

联合多种干旱相关因子构建综合干旱指数（CDI），对全面、准确评估干旱状况至关重要。本文基于我国西南地区GNSS测站2011—2022年大气可降水量PWV/垂向形变和GRACE/GRACE Follow-On（GRACE-FO）卫星重力数据，针对异常值的影响及气象干旱与水文干旱存在的复杂响应关系，提出抗差估计与联合分布函数（Copula函数）相结合的数据融合方法，构建了一种气象-水文综合干旱指数。结果表明：①GNSS PWV和降水数据构建的气象干旱指数与降水异常、标准化降水蒸散指数（SPEI）具有很好的一致性，相关系数分别为0.88和0.73；②基于IGGⅢ的抗差Helmert方差估计和抗差主成分分析均能有效克服异常值对数据融合的影响，提高了多源数据融合的精度，但抗差Helmert方差估计结果整体精度更优；③利用Copula函数构建的CDI指数包含了大气水汽、降水、陆地水储量的信息，能同时有效反映气象干旱和水文干旱的演变过程。研究结果为拓展和深化GNSS气象学与水文大地测量学的交叉研究及其综合干旱监测应用提供了途径。

关键词: GNSS PWV/垂向形变, 卫星重力, 抗差估计, Copula函数, 综合干旱指数

Abstract:

Developing a composite drought index (CDI) by combining multiple drought related variables is crucial for comprehensively and accurately assessing drought conditions. In this study, based on the global navigation satellite system (GNSS) precipitable water vapor (PWV)/vertical deformation and Gravity Recovery and Climate Experiment (GRACE)/GRACE Follow-On (GRACE-FO) satellite gravimetric data spanning from 2011 to 2022, we developed a novel hydro-meteorological CDI in southwestern China through a data fusion model combining robust estimation and joint distribution function (Copula function). The data fusion model was built to reduce the impacts of the possible outliers and considering the complex response relationship between meteorological and hydrological droughts. The results showed that ① The meteorological drought index constructed from GNSS PWV and precipitation data had good consistency with precipitation anomalies and the standardized precipitation evapotranspiration index (SPEI), with correlation coefficients of 0.88 and 0.73, respectively; ② The methods of Helmert robust variance estimation based on the IGGⅢ and robust principle component analysis (RPCA) can effectively overcome the impact of outliers and improve the accuracy of data fusion, but the overall precision of Helmert robust variance estimation was better than that of RPCA; ③ The Copula-based CDI constructed in our study contains information on atmospheric water vapor, precipitation, and terrestrial water storage, which can effectively reflect the evolution process of meteorological and hydrological droughts simultaneously. The research results provide a new way for expanding and deepening the interdisciplinary research and applications of GNSS meteorology and hydro-geodesy in comprehensive drought monitoring.

Key words: GNSS PWV/vertical deformation, satellite gravimetry, robust estimation, Copula function, composite drought index

中图分类号:

P227

姚朝龙, 游泓锐, 何玄晖, 陆钧雅, 谢依倩, 李琼, 朱双, 罗志才. 综合利用GNSS PWV/垂向形变与GRACE/GRACE-FO数据反演综合干旱指数[J]. 测绘学报, 2025, 54(10): 1757-1768.

Chaolong YAO, Hongrui YOU, Xuanhui HE, Junya LU, Yiqian XIE, Qiong LI, Shuang ZHU, Zhicai LUO. A composite drought index derived from a combination of GNSS PWV/vertical deformation and GRACE/GRACE-FO data[J]. Acta Geodaetica et Cartographica Sinica, 2025, 54(10): 1757-1768.

图/表 10

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数据类型	时间分辨率	空间表达形式	数据来源
GNSS PWV	1小时	站点	ftp://ftp.cgps.ac.cn/
GNSS垂向形变	1天	站点	ftp://ftp.cgps.ac.cn/
大气、非潮汐海洋负荷垂向形变	3小时	0.5°×0.5°	http://rz-vm115.gfz-potsdam.de：8080/repository
GRACE/GRACE-FO	1个月	0.5°×0.5°	https://grace.jpl.nasa.gov/data/get-data/jpl_global_mascons/
降水	1天	0.1°×0.1°	https://data.tpdc.ac.cn/zh-hans/data/e5c335d9-cbb9-48a6-ba35-d67dd614bb8c
GLDAS	1个月	0.5°×0.5°	https://disc.gsfc.nasa.gov/datasets/GLDAS_NOAH10_M_2.1/summary?keywords=GLDAS
SPEI	1个月	0.5°×0.5°	https://spei.csic.es/database.html

方案	方法	最小值	最大值	平均值	绝对平均值	标准差
方案1	抗差Helmert方差估计	-2.69	3.06	0.00	0.05	0.34
方案1	RPCA	-1.87	2.89	-0.07	0.51	0.65
方案2	抗差Helmert方差估计	-2.69	4.22	0.08	0.13	0.60
方案2	RPCA	-2.06	4.13	-0.07	0.60	0.83

综合利用GNSS PWV/垂向形变与GRACE/GRACE-FO数据反演综合干旱指数

A composite drought index derived from a combination of GNSS PWV/vertical deformation and GRACE/GRACE-FO data

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