The authors expand the original wave dynamic-moisture (WM) model by implementing the cloud radiative feedback (CRF) to study the role of the CRF in the Madden–Julian oscillation (MJO) in comparison with the role of the planetary boundary layer (PBL) process. The linear instability analysis is used to elucidate the reactions of the WM mode, WM-CRF mode, WM-PBL mode, and WM-PBL-CRF mode. Compared with the stationary and damped WM mode, the CRF can present an important instability source for all wavenumbers without the planetary-scale selection and tends to slow down the planetary-scale eastward propagation. On the other hand, the PBL process, with the planetary-scale selection, can destabilize the eastward propagation while accelerate the eastward propagation of the planetary-scale oscillation. When the PBL and the CRF processes are both included, the unstable mode is achieved and period is nearly 20–90 days, consistent with the observations. Both the WM and the WM-CRF modes present unrealistic coupled Kelvin–Rossby wave structure, which disagrees with the observations. These caveats can be remitted in the WM-PBL mode and the WM-PBL-CRF mode. The PBL can couple the Kelvin and Rossby waves and present the observed geopotential low in front of the convective center. The CRF, however, can make the phase relation between the precipitation anomalies and pressure anomalies changed in the presence of PBL process.

作者通过实施云辐射反馈（CRF）扩展了原始波动态水分（WM）模型，以研究CRF在马登–朱利安振荡（MJO）中的作用以及行星边界层（PBL）的作用） 过程。线性不稳定性分析用于阐明WM模式，WM-CRF模式，WM-PBL模式和WM-PBL-CRF模式的反应。与固定和阻尼WM模式相比，CRF可以为所有波数提供重要的不稳定性来源，而无需选择行星尺度，并且会减慢行星尺度向东传播。另一方面，采用行星尺度选择的PBL过程可能会破坏向东传播的稳定性，同时会加速行星尺度振荡的向东传播。如果同时包含PBL和CRF流程，达到了不稳定模式，周期将近20-90天，与观察结果一致。WM和WM-CRF模式都呈现出不切实际的Kelvin-Rossby耦合波结构，这与观测结果不一致。这些警告可以在WM-PBL模式和WM-PBL-CRF模式下缓解。PBL可以耦合开尔文波和罗斯比波，并在对流中心前方呈现观测到的低地势。但是，CRF可以使降水异常和压力异常之间的相位关系在PBL过程的存在下发生变化。这些警告可以在WM-PBL模式和WM-PBL-CRF模式下缓解。PBL可以耦合开尔文波和罗斯比波，并在对流中心前方呈现观测到的低地势。但是，CRF可以使降水异常和压力异常之间的相位关系在PBL过程的存在下发生变化。这些警告可以在WM-PBL模式和WM-PBL-CRF模式下缓解。PBL可以耦合开尔文波和罗斯比波，并在对流中心前方呈现观测到的低地势。但是，CRF可以使降水异常和压力异常之间的相位关系在PBL过程的存在下发生变化。