Europe has been home to domestic horses for a long time, and for the entirety of their time coexisting with their wild relatives, interbreeding has most likely occurred. Now, at first this was not an issue, since the populations of (mostly) pure wild horses were so larger that the genes of a few domestics did not have much of an impact. As time went on however, and the wild horse populations plummeted, this genetic balance was lost. Suddenly there were significantly more domestic horses than wild ones, and in times of war or simply due to accidents, domestics were often abandoned and left to their own devices, resulting in them becoming feral. This is where the boundary between wild horses and domestics becomes incredibly blurred, and where the word Tarpan really starts to grow sketchy. Historical observers from centuries passed were rarely detail-orientated enough to take note of the subtle morphological distinctions that separated wild horses and domestics, so whenever a herd of wild-living horses was spotted, these animals were simply referred to as wild, and sometimes, you guessed it, "Tarpans". This makes it very difficult to ascertain whether any given historical account of wild horses living in an area actually refer to true, undomesticated horses, or simply feral descendants of domestics. To make matters even more complicated, as mentioned before, extensive interbreeding took place, and in the latter years of the wild horse's existence, it is plausible if not almost certain that very nearly all populations of so-called Tarpans were either hybrids or pure domestic animals, with very few pure wild types remaining. This is often referred to as the only known picture of a Tarpan, but looking at its morphology, the animal shown is almost certainly either a hybrid or a pure domestic, as it bares very little resemblance to neither the skeletons we have of European wild horses, nor the extant and closely related Przewalski's horses.
To add one final layer of complexity and doubt to the word "Tarpan", today it is often used to refer to certain "primitive" breeds of domestic horses, particularly the Konik Polski. Koniks are one of several breeds often claimed to be either direct descendants of wild horses, or, in the Konik's case, a deliberate back-breeding attempt that incorporated hybrids of wild and domestic animals, thus resulting in a breed almost identical to the original wild horse. While the Konik is undeniably a sturdy and "wild"-looking breed, its morphology, like that of the animal in the picture claimed to be a Tarpan, and all other modern horse breeds, does not match that of the wild horse. Genetic tests have shown that it is no more closely related to wild horses than any other modern breed, and the story of it being a back-breeding attempt has been demonstrated to be a myth. In reality, the Konik is simply a particularly hardy breed originally used as draft animals in their native Poland, where the breed presumably originated, which just so happens to somewhat resemble the original wild horse. And yet, regardless of everything I just told you, the Konik is still often referred to as a Tarpan, including by organizations such as Rewilding Europe.
Pictured: Not Tarpans, but instead a herd of Przewalski's horses, the world's only still extant species of wild horse.
