It's important to clarify that all trees, by definition, have the potential to bear fruit. However, some trees don't produce the kind of fruit we typically associate with edible or commercially valuable fruits. Here's a breakdown of different categories of "non-fruiting" trees:

1. Trees that produce inedible fruits:

* Conifers: These include pines, firs, spruces, and cedars. They produce cones, which are technically fruits, but they are not typically considered edible.

* Other trees with inedible fruits: Examples include oaks, maples, and willows. They produce nuts, seeds, or other forms of fruit, but they aren't typically eaten by humans.

2. Trees that are primarily valued for other aspects:

* Ornamental trees: Many trees are cultivated for their beauty, foliage, or shape. They may produce small fruits that are insignificant in terms of size or taste. Examples include flowering cherry trees, weeping willows, and Japanese maples.

* Timber trees: Trees like redwoods, Douglas firs, and oaks are primarily valued for their wood, which is used for construction, furniture, and other purposes. They may produce fruits, but these are often not considered commercially valuable.

3. Trees that are still young or not mature enough to fruit:

* Some trees require a certain age and growth stage before they start producing fruits.

In summary: While all trees have the potential to bear fruit, some produce fruits that are inedible or insignificant in terms of human consumption. Others are primarily valued for other aspects, such as their beauty or timber.