Moisture Removal

What's the best bush/tree to plant in shady conditions to suck up moisture from a permanently damp side of the garden (permanently in shade). It's about 50' from the house. I've thought about a Eucalyptus tree. Soil is mostly clay.

Thanks
Andy

 

Do you really want one huge tree when you could have heaps of lovely plants that would really like your wet and shady corner?
Why is it shady?

 

It's by a fence, just the way the sun travells.

 

Alder or willow are usually good in wet conditions