A more in depth way to meter a landscape scene, is to use your smallest metering area and meter different parts of the image. This is one reason why higher end cameras have a spot metering mode, rather than just partial.
What you would do, is meter specific areas...the rocks, the greenery etc and find out what the difference between them is. It might be 4 stops, for example. They you take into mind that a digital camera has a native latitude (the dynamic range) of about 5 stops (it may be a little more these days).
So then you figure out what exposure level you should shoot at, so that it covers (as best as possible) the range of your scene. This is sort of the idea of the evaluative metering mode, but as the camera is just a computer, it can be easily fooled.
Now, this shot is a little harder because running/bubbling water will 'always' turn white which makes it very hard to expose with a darker scene.
There are other things you can do to 'even out the light' in a scene. One would be to use a split or graduated filter to block off the brighter areas. Another would be to add light (flash etc) to darker areas. Yet another would be to take multiple shots and use software to combine them...or just edit areas of the image selectively.