Hey,
Exotic invasive plants are a big issue. I have been in the horticultural and restoration end of invasive plants. Getting out the herbicides to kill these is not as easy as you would think. There are all sorts of side effects, especially with fish. Fish seem to be poisoned easily with certain chemical herbicides. Native plants and insects 'in the way' can be eliminated as well.
When I started to research aquariums, and looking at salt water aquarium keeping, I was surprised to see Caulerpa as a algae for salt water aquaria. An invasive one, Caulerpa taxifolia, has ruined native species habitat in parts of the Mediterranean. In the USA, there is a battle being waged in San Diego county, and parts of Orange county, California, to stop these algae from getting out of lagoons there. These were probably released by hobbyists and only one cell needs to survive to keep it going.
Exotic Invasive plants on land and in waterways are a huge financial issue, and they will keep being a problem for the foreseeable future. Farmers, biologists, boaters, range managers, fire fighters, and restoration specialists battle these plants everyday. Some native species will become extinct because of these exotic invasive species (read about Hawaii).
Not all exotic plants are an issue. The Cal-IPC web site is good; the Florida site, mentioned previously, is a good standard resource as well.
This is part of the reason why future humans may refer to our current period as the Homogocene. Humans are moving: animals, plants, viruses and bacteria around out of their adapted (native) environments. Some of the exotics get loose and have no natural checks to keep them in hand - no Hippos in New York.
Be careful with those plants you were thinking of dumping!
Joseph (Kampi)
Online References:
California Invasive Plant Council
Cal-IPC: About Us
Weed - Organizational and Governmental Sites
Cal-IPC: Organizational and Governmental Sites
look up Homogocene online