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Journal of Arid Land  2025, Vol. 17 Issue (8): 1027-1047    DOI: 10.1007/s40333-025-0106-7    
Research article     
Mechanisms of meteorological drought propagation to hydrological drought in the upper Shiyang River Basin, China
HUANG Peng1, GUO Xi1, YUE Yaojie1,2,*()
1Key Laboratory of Environmental Change and Natural Disaster, Ministry of Education, Faculty of Geographical Science, Beijing Normal University, Beijing 100875, China
2State Key Laboratory of Earth Surface Processes and Disaster Risk Reduction, Faculty of Geographical Science, Beijing Normal University, Beijing 100875, China
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Abstract  

Comprehensively revealing the intensity of drought propagation from meteorological to hydrological drought is crucial for effective drought monitoring and management. However, existing assessments often fail to integrate multiple drought characteristics, resulting in incomplete evaluations. To address this limitation, this study introduced the drought comprehensive propagation intensity (DCPI) index, a systematic tool that quantifies propagation intensity and incorporates five drought characteristic indicators (drought frequency, total duration, maximum duration, coverage, and degree) to assess the comprehensive drought intensity in the upper Shiyang River Basin, China from 1961 to 2023. The results indicated that pre-1980s drought propagation was relatively weak (DCPI<0.964), reflecting stable hydrological homeostasis. After the 1980s, the intensity significantly increased, peaking at 5.530 (rather strong drought) in the 2000s due to human-induced alterations in surface runoff and ecological changes. Spatially, the western tributaries (e.g., the Xida River Watershed) presented stronger hydrological drought intensity, whereas the eastern tributaries (e.g., the Huangyang, Gulang, and Dajing river watersheds) presented higher meteorological drought intensity. The DCPI values decreased from west to east, with near peer-to-peer propagation observed in the Dongda, Huangyang, and Jinta river watersheds, suggesting minimal human interference. A nonlinear relationship between meteorological and hydrological droughts was identified, with severe drought frequency and duration emerging as critical drivers of propagation intensity. Notably, trends of meteorological humidification coexist with hydrological aridification, highlighting systemic challenges for water resource management. The DCPI framework enhances the understanding of drought mechanisms by enabling a structured evaluation of drought impacts, which is essential for developing effective water resource strategies and ecological restoration efforts in arid areas. This study underscores the importance of integrating multi-dimensional drought characteristics to improve prediction accuracy and inform policy decisions.



Key wordsdrought comprehensive propagation intensity (DCPI)      drought comprehensive intensity (DCI)      drought frequency      drought duration      drought coverage      standardized precipitation index (SPI)      standardized runoff index (SRI)     
Received: 10 December 2024      Published: 31 August 2025
Corresponding Authors: *YUE Yaojie (E-mail: yjyue@bnu.edu.cn)
About author: First author contact:All authors contributed equally to this work.
Cite this article:

HUANG Peng, GUO Xi, YUE Yaojie. Mechanisms of meteorological drought propagation to hydrological drought in the upper Shiyang River Basin, China. Journal of Arid Land, 2025, 17(8): 1027-1047.

URL:

http://jal.xjegi.com/10.1007/s40333-025-0106-7     OR     http://jal.xjegi.com/Y2025/V17/I8/1027

Fig. 1 Location (a) and tributary watershed distribution (b) of the upper Shiyang River Basin in the Qilian Mountains
Tributary Hydrological station Geographical location
Latitude Longitude Elevation (m)
Xida River Xidahe Reservoir 38°03′00′′N 101°22′59′′E 2880
Dongda River Shagousi 38°01′00′′N 101°57′00′′E 2360
Xiying River Jiutiaoling 37°52′00′′N 102°03′00′′E 2270
Jinta River Nanying Reservoir 37°48′00′′N 102°31′00′′E 1940
Zamu River Zamusi 37°42′00′′N 102°34′00′′E 2010
Huangyang River Huangyanghe Reservoir 37°34′00′′N 102°43′00′′E 2070
Gulang River Gulang 37°25′59′′N 102°54′00′′E 2072
Dajing River Dajingxia Reservior 37°22′59′′N 103°21′00′′E 2175
Table 1 Geographical location of the hydrological stations
SPI range SRI range Drought grade
(-1.0, -0.5] (-1.0, -0.5] Mild drought
(-1.5, -1.0] (-1.5, -1.0] Moderate drought
(-2.0, -1.5] (-2.0, -1.5] Severe drought
(-∞, -2.0] (-∞, -2.0] Extreme drought
Table 2 Standardized precipitation index (SPI) and standardized runoff index (SRI) drought grade
Drought characteristic indicator Drought grade Weight for tributary Weight for the upper reaches
Frequency Mild drought 0.1116 0.0890
Moderate drought 0.1292 0.0802
Severe drought 0.3146 0.2089
Extreme drought 0.0612 /
Maximum duration - 0.0589 0.0285
Total duration Mild drought 0.0523 0.0405
Moderate drought 0.0632 0.0256
Severe drought 0.1036 0.0659
Extreme drought 0.0791 0.0513
Coverage Local drought - 0.1324
Regional drought 0.2089
Global drought 0.0385
Degree - 0.0265 0.0303
Table 3 Weight of meteorological drought characteristics
Drought characteristic indicator Drought grade Weight for tributary Weight for the upper reaches
Frequency Mild drought 0.0432 0.0600
Moderate drought 0.1694 0.0897
Severe drought 0.2076 0.2196
Extreme drought 0.2329 /
Maximum duration - 0.0364 0.0248
Total duration Mild drought 0.0580 0.0453
Moderate drought 0.0505 0.0482
Severe drought 0.0733 0.1422
Extreme drought 0.1012 0.1430
Coverage Local drought - 0.0849
Regional drought 0.0738
Global drought 0.0467
Degree - 0.0275 0.0217
Table 4 Weight of hydrological drought characteristics
Fig. 2 Framework of the construction of drought comprehensive propagation intensity (DCPI). MD, meteorological drought; HD, hydrological drought; SPI, standardized precipitation index; SRI, standardized runoff index; DCI, drought comprehensive intensity.
Fig. 3 Spatio-temporal variation in meteorological and hydrological droughts in the upper Shiyang River Basin from 1961 to 2023. (a), trend of SPI at a twelve-month time scale (SPI12); (b), trend of SRI at a twelve-month time scale (SRI12); (c) SPI12 and SRI12 cumulative anomalies; (d), meteorological dry-wet conditions of tributary; (e), hydrological dry-wet conditions of tributary.
Fig. 4 Frequency and degree of meteorological drought (MD) and hydrological drought (HD) in the upper Shiyang River Basin from 1961 to 2023
Fig. 5 Frequency and degree of meteorological (a1-a7) and hydrological (b1-b7) droughts in each tributary in the upper Shiyang River Basin from 1961 to 2023
Fig. 6 Spatio-temporal variation in drought duration in the upper Shiyang River Basin from 1961 to 2023. (a), total duration and maximum duration of meteorological and hydrological droughts in the entire upstream region; (b), total duration and maximum duration of meteorological and hydrological droughts in each tributary; (c), spatial distribution of the maximum duration of meteorological drought in each tributary; (d), spatial distribution of the maximum duration of hydrological drought in each tributary.
Fig. 7 Temporal variation characteristics of meteorological drought coverage (a) and hydrological drought coverage (b) in the upper Shiyang River Basin from 1961 to 2023. The curve is the trend-fitting line.
Item Upstream region Tributary
Xida River Dongda River Xiying River Jinta River Zamu River Huangyang River Gulang River Dajing River
Correlation coefficient 0.67** 0.56** 0.66** 0.65** 0.56** 0.62** 0.59** 0.52** 0.44**
Conditional probability (%) 68.0 79.0 79.0 83.0 68.0 81.0 76.0 63.0 68.0
Table 5 Correlation coefficient and conditional probability for the upper Shiyang River Basin and each tributary
DCPI Propagation grade DCPI Propagation grade
(7.627, +∞) Exceedingly strong [0.797, 0.964) CPP
(4.121, 7.627] Rather strong [0.636, 0.797) Slightly weak
(1.989, 4.121] Moderately strong [0.468, 0.636) Moderately weak
(1.324, 1.989] Slightly strong [0.267, 0.468) Rather weak
(0.964, 1.324] Close to peer-to-peer (CPP) [0.000, 0.267) Exceedingly weak
0.964 Peer-to-peer
Table 6 Classification of drought comprehensive propagation intensity (DCPI) in the upper Shiyang River Basin
Time period DCI DCI deviation DCPI
Meteorology Hydrology Meteorology Hydrology
1960s 0.579 0.253 0.256 -0.085 0.437
1970s 0.568 0.331 0.245 -0.007 0.582
1980s 0.273 0.258 -0.050 -0.080 0.944
1990s 0.274 0.632 -0.049 0.294 2.308
2000s 0.067 0.373 -0.256 0.035 5.530
2010-2023 0.175 0.180 -0.148 -0.157 1.030
Table 7 Interdecadal drought comprehensive intensity (DCI) and propagation intensity in the upper Shiyang River Basin
Fig. 8 Drought comprehensive intensity (DCI) and drought comprehensive propagation intensity (DCPI) of each tributary in the upper Shiyang River Basin. CPP, close to peer-to-peer.
Fig. 9 Interdecadal drought propagation of each tributary in the upper Shiyang River Basin from 1961 to 2023. (a), 1960s; (b), 1970s; (c), 1980s; (d), 1990s; (e), 2000s; (f), 2010-2023.
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