A new model for predicting the frequency of extreme river levels is pr
oposed which encapsulates physical knowledge about river dynamics. The
central idea is the use of continuous time stochastic processes that
use hydrological equations and ergodic theory to model extreme events,
rather than relying on statistical fits of classical models to local
maximum data. A simple example shows how changes in discharge characte
ristics change the extreme river level frequencies. Solutions are prov
ided for special cases, and directions for more general techniques are
provided. Copyright (C) 1996 Elsevier Science Ltd