Wandlore and all its intricacies have been studied at length for as long as wizards have used wands. While the concept of 'the wand choosing the wizard' has been a vague concept at best, it has been determined that a wand's power originates from two sources - the wood, which can consist of any wood nameable, as long as the branch used to form the wand is thick enough and does not break easily, and the core, which is the source of a wand's magical properties. The core always originates from a magical creature. For this reason, no two wands are identical just as no two creatures are identical. This uniqueness is the basis as to why the wand chooses the wizard.