Here's why:
* Shedding usually refers to animals losing their fur or skin.
* It can be used figuratively to describe getting rid of something you don't want, including clothing.
For example, you could say: "I'm shedding my winter clothes now that the weather is warmer."
Other words that could work, depending on the context, include:
* Discarding
* Ditching
* Throwing off
* Leaving behind