The analysis of hydrological series is important for water resource management and allocation, as well as energy and food security in the face of climate change (Arriagada et al., 2019;Tencaliec et al., 2015). As one of the most important indicators in hydrological analysis, providing an important source of hydrological information for water resources engineering applications (Birsan, 2015;Shiau & Hsu, 2016). However, streamflow series have strong dynamic spatiotemporal characteristics, making accurate simulation and prediction difficult. This necessitates the use of highly complex tools to model the sophisticated features of streamflow series.In general, hydrological models are classified into two types: physical models and statistical models. Specifically, physical models are complicated because they take into account a large number of variables that influence hydrological processes. Statistical models simulate hydrological changes using observational data collected beforehand. Owing to their simple implementation, statistical models are easier to use in practice (Modarres & Ouarda, 2013b). Data-driven technologies, such as artificial neural networks, support vector machines, wavelet transforms, and time series analysis (TSA) models, have been receiving increasing attention in the field of hydrology (Hadi et al., 2020;Khan et al., 2020;Parisouj et al., 2020). In the application of the aforementioned data-driven models, the development of TSA models and new methods have consistently been the main theme in hydrological modeling (Fathian, Fard, et al., 2019;Fathian et al., 2018).In particular, linear time series models have been widely used to simulate hydroclimatic time series (Hu et al., 2020;H. Wang et al., 2021). Traditional time series models, such as the autoregressive integrated moving average (ARIMA) model, have primarily been developed for simulating the first-moment behavior of time series, but they ignore the second-moment information (volatility), leading to insufficient model fitting results (Fathian, Fard, et al., 2019). In reality, hydrological time series have strong volatility associated with environmental change.