I have to disagree with the idea that evolution's core is simply the "change in allele frequency over time in a population". That same phrase is consistent with intelligent design, for instance. Darwinian evolution is a specific mechanism by which that frequency change occurs; change in allele frequency over time in a population is a tautology. It's the difference between a mathematical equation and a scientific theory, and evolution is an example of the latter.
Read again:
The basic definition of evolution given in most textbooks and classes is the change in allele frequency over time in a population. That's it. Additional components like natural selection, speciation, sexual selection, genetic drift, etcetera are plugged in to flesh out the full theory of evolution, but they're not part of the core definition per se.
I didn't say anything about what was or wasn't present in Darwin's original theory of evolution. I just defined what the core of the theory was.
That is the basic definition given in most textbooks and classes. Now, the entirety of
evolutionary theory is far more complex, but that's what evolution is, in the same way that 'gravity' is defined very simply whereas a
theory of gravity is tremendously complex.
And it's silly to say that 'the same phrase is consistent with intelligent design' because a) intelligent design is not a scientific theory, it is an ideology, and b) as in the above example, so what? A simple definition of gravity is consistent with Flat Earth 'theory', but that doesn't make the definition itself any less valid.
You yourself pointed out that Darwinian evolution is a
mechanism by which evolution occurs. That's precisely correct. You defined what you were trying to say, which is in complete accordance with the statement you're attempting to contradict. Nonetheless, evolution is simply a change in allele frequency in a population; that's the definition.
And Ace is correct. In many fields you don't need to bring in all the components of evolutionary theory to see 'evolution' occuring. Simple equations and observations about allele change still demonstrate evolution.