Change in “discrete” species CAN and ARE described empirically, and to some extent they are indeed predictable.
For example, if I take a species of cold water bacteria and expose them to hotter and hotter water, I can predict that they will express error prone DNA polymerase increasing the genetic variation within the population, and that those variations that lead to better survival in hot water will predominate in subsequent generations.
Thus I predict that my population of cold water bacteria, when exposed to hot water long enough, will become a hot water adapted population.
The intellectual error on your side is that your model has no explanatory or predictive power, thus you cannot explain why a bacteria would have an error prone DNA polymerase nor why it would be expressed during stress.
I just took the lazy way out.
Methinks our friend may be looking for the infamous crocoduck or panda hawk.
I would ask that you provide an example of macroevolution.