In this mode, you should have relative sharpness throughout your photograph. Minimum focusing distances are usually not an issue when using Landscape mode. If my subject is the plants themselves, I usually find it better to wait for the wind to subside or to return on a calmer day. An exception might be an attempt to create an impressionist type image by incorporating the movement. This is very difficult to accomplish but is quite stunning when it is done well.
Automatic mode is a compromise between the above settings.
It is most similar to Landscape mode. Once you choose the mode for your photograph, it is important to focus on the most important part of the subject. With flower close-ups or portraits, that is usually the center of the flower. Most cameras have their focus point in the middle of the viewfinder. If you always put your subject in the middle, your pictures become quite predictable and boring.