Study note for idealized tropical coupled model

2025-02-08

# Linear model [WangXie1998] potential improvement:

There is no moisture budget equation. However, this is considered in their later paper [LiuWang2013].
Cloudiness decreases solar heating, but it does not account for increased downward longwave heating. This impact the sensitivity of \(\gamma\) in Equation A1.h.
There is no consideration of precipitation. Therefore, barrier layer effect (salinity) can be added to mixed layer \(h_1\) evolution.

# Model [LiuWang2013]:

They used MJO skeleton model [MajdaStechmann2009], which contains moisture budget equation.
They did not put longwave radiation feedback into the SST equation.

# Reference

[WangXie1998]

Wang, B., & Xie, X. (1998). Coupled modes of the warm pool climate system. Part I: The role of air–sea interaction in maintaining Madden–Julian oscillation. Journal of Climate, 11(8), 2116-2135.

[MajdaStechmann2009]

Majda, A. J., & Stechmann, S. N. (2009). The skeleton of tropical intraseasonal oscillations. Proceedings of the National Academy of Sciences, 106(21), 8417-8422.

[LiuWang2013]

(1, 2) Liu, F., & Wang, B. (2013). An air–sea coupled skeleton model for the Madden–Julian oscillation. Journal of the atmospheric sciences, 70(10), 3147-3156.

Tien-Yiao Hsu

Study note for idealized tropical coupled model