“…Those statistical emulators were initially developed with "entire scenarios" (simultaneous changes in climate factors) simulation during historical or future periods. Emulators have been developed for process-based crop models, like APSIM (Shahhosseini et al, 2019), GEPIC (Folberth et al, 2019), GWG (Xu et al, 2021), GAZE (Raimondo et al, 2021), and WOFOST (Tartarini et al, 2021), and used to estimate historical crop yield. As the emulator trained by historical simulation could not project the crop yield in the future, multiple crop model ensemble simulation in future climate scenarios were used to calibrate emulators (Blanc, 2017(Blanc, , 2020Blanc and Sultan, 2015;Mistry et al, 2017;Ostberg et al, 2018).…”