Because the integrity of aquatic ecosystems is being challenged worldw
ide by invading species, there is a growing need to understand the inv
asion process and to predict the success and effects of invading speci
es. Case histories of fish invasions in streams, lakes, and estuaries
indicate that invading species and systems being invaded interact in i
diosyncratic ways that are often hard to predict, largely because of t
he role of environmental variability in deter mining rite outcomes of
invasions. We nevertheless present a conceptual model of aquatic invas
ions and a dozen empirically-derived rules that seem to govern most aq
uatic invasions. While these rules are limited in their usefulness, th
ey do seem to have more predictive value than rules derived from commu
nity assembly theory. Copyright (C) 1996 Elsevier Science Limited