ORIGINAL RESEARCH
The Copula-based Flow Duration Curves (CFDC) Method for Calculating Ecological Flow of the Seasonal River
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Yifei Lin 3,4
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Lei Hou 3,4
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1
Hydrological Center of Tai’an City, Tai’an, 271001, China
 
2
China Institute of Water Resources and Hydropower Research, Beijing IWHR Corporation (BIC), Beijing,100048, China
 
3
College of Water Conservancy and Civil Engineering, Shandong Agricultural University, Tai’an, 271018, China
 
4
Shandong Key Laboratory of Agricultural Water-saving Technology and Equipment, Shandong Agricultural University, Tai’an 271018, Shandong, China
 
5
Shandong Agricultural University Survey and Design Institute, Tai’an, 271018, China
 
These authors had equal contribution to this work
 
 
Submission date: 2025-02-13
 
 
Final revision date: 2025-06-03
 
 
Acceptance date: 2025-06-27
 
 
Online publication date: 2025-09-12
 
 
Corresponding author
Yanming Wang   

Shandong Agricultural University Survey and Design Institute, Tai’an, 271018, China
 
 
Lei Hou   

College of Water Conservancy and Civil Engineering, Shandong Agricultural University, Tai’an, 271018, China
 
 
 
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ABSTRACT
The ecological flow is the key to grasping the ecological environment and water resources in rivers. To resolve the issue of being incapable of determining seasonal river ecological flow due to the large inter-annual and intra-annual variations in river hydrological processes, this paper proposes a Copula-based Flow Duration Curves (CFDC) method that takes into account the “cross-phenomenon” between the annual and monthly inflow types. The ecological flow process of the seasonal river, the Dawen River, was calculated based on the natural monthly streamflow data at the three hydrological stations from 1956 to 2016. The results indicated that the ecological flow variation ranges at Beiwang station, Loude station, and Daicun Dam station were as follows: during wet years, 2.96-102.79 m³/s, 0.60-70.39 m³/s, and 9.29-201.95 m³/s, respectively; during normal years, 2.56-47.68 m³/s, 0.45-23.40 m³/s, and 5.59-66.97 m³/s, respectively; and during dry years, 2.20-13.90 m³/s, 0.51-8.65 m³/s, and 4.49-38.17 m³/s, respectively. The ecological flow determined by the Copula-based Flow Duration Curves (CFDC) method fulfills the requirements of river ecological health and is scientific and reasonable. This achievement not only improves the applicability of the hydrological method to determine ecological flow, but also provides a theoretical basis for ecological restoration and comprehensive management of water resources in the Dawen River.
eISSN:2083-5906
ISSN:1230-1485
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