My thought process is that, after enough time, an invasive species of some plant or animal would find its way into its new ecosystem, and properly become a part of the ecological cycle? Does this ever happen? Maybe it just needs far more time to do so?
You’re right but, on a human time scale, if you introduce a species to an isolated island and it wipes out most of the native species, it will take tens of thousand so of years, maybe millions for species to evolve to replace the ones lost.
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