Recently,I had read a paper written by the Chi‑Cherng Hong.He used the moisture budget revealed that the increase in relative humidity at 700 hPa resulted primarily from the vertical climatological mean vapor transport caused by the anomalous vertical velocity.In this paper, the author only shows pictures that depict the vertical profile of the climatological mean specific humidity (q) and the anomalous (IP2 − IP1) vertical velocity.

I don't know much about the equation of moisture budget,how do he made sure that the mean vapor transport caused by the anomalous vertical velocity is important?In my understanding, the moisture budget equation should also have other terms,although I didn't remember the form of this equation.How to determine their role is not important?

Can anyone provide me with the complete form of the water vapor equation and explain how to use this equation to do research?

My English is a little poor. The above words are translated by software. I'm sorry for any offence.