Comparing invasive species in a single ecosystem

I am doing research on exactly this topic. I compare the diversity (including its multiple aspects) of grassland patches invaded by different invasive plants and uninvaded patches. This approach is called space-for-time substitution because I suppose that close sites have a similar background and differ only in the invasion process. Unfortunately, I have no quantitative data from the past and no time to wait for the future. Of course, the best is if you can see how invasive plants transform their environment over time.