“… Mamatzakis and Remoundos (2011) , Beckmann et al (2014) , Joëts et al (2017) , de Albuquerquemello et al, 2018 , and Chowdhury et al (2021) used the threshold vector error-correction (TVECM) model, smooth transition regression (STR) model, structural threshold vector autoregressive (TVAR) model, self exciting threshold auto-regressive (SETAR) model, and nonlinear autoregressive distributed Lag (NARDL) model, respectively, to study the nonlinear dynamics of commodity prices. With the progress of econometric technology, Uddin et al (2019) used hybrid wavelet approaches to improve the predictability of crude oil markets, and Bekiros et al (2020) applied a wavelet multiscale analysis on returns and volatilities of Brent and West Texas Intermediate crude oil indices to forecast in the crude oil market. Yahya et al (2020) found that the conditional dependencies between commodity assets are time-varying and asymmetric with the potential for tail dependence by using time-varying copulas.…”