FDC prediction and inference: insights from the fusion of machine
learning methods and multi-source factors
Abstract
This paper aims to solve the problem of accurately estimating flow
duration curves (FDC) in catchments lacking diachronic flow data. Based
on 645 sets of observed data in the middle and lower reaches of the
Yangtze River (YZR), which include 22 basin characteristic variables,
eight machine learning (ML) models (SVM, RF, BPNN, ELM, XGB, RBF,
PSO-BP, GWO-BP) were integrated to predict the FDC (quantiles of flow
rate corresponding to 15 exceedance probabilities were studied), after
which the model most suitable for predicting was determined. Finally,
the SHapley Additive exPlanation (SHAP) method was used to quantify the
impact of various input variables on different quantiles and the degree
of that influence. Results indicate that: (1) The GWO-BP model is the
best ML model for predicting FDC among the eight, having good prediction
performances throughout the entire duration with determination
coefficients ( R 2) on the testing set of 0.86
to 0.94 and Nash-Sutcliff criterion ( NSE) of 0.78 to 0.94. (2)
The ML model (BPNN) optimized using swarm intelligence can effectively
predict FDC. (3) The predictive impact of variables on different
quantiles varies, with and BFI_mean contributes significantly to
predicting FDC. The former has a negative effect on the prediction
result and has better contribution to predicting higher flow rate (i.e.,
having higher accuracy in predicting the upper tail of FDC), whereas the
latter is the opposite. The results demonstrate that the method proposed
in this paper can greatly improve the prediction accuracy.