Vegetables
Vegetables are an important part of any diet. Hunter-gatherers ate a lot of plant food and a lot of vegetables, especially when fruit was not in season. Studies consistently show that vegetables help prevent many diseases and health conditions.
Vegetables can be roughly divided into two categories: above ground and below ground. Above ground vegetables are more of the leafy type, such as lettuce and broccoli. Examples of below ground vegetables include sweet potatoes and carrots. Though it hasn't really been studied, I think both types of vegetables are needed for optimal health.
Below ground vegetables tend to have more carbohydrates than those above ground. For example, I usually eat a potato or sweet potato with dinner. In the past when I've gone without potatoes, I've definitely felt the difference. Without below ground vegetables, it's tough to get a sufficient number of carbohydrates each day.
In Loren Cordain's analysis of hunter-gatherer diets, he showed that 23.6% of all plant consumed was in the form of tubers, roots, and bulbs. I think this component of the Paleo diet is a very important one for achieving good health.

