A cumulative species description curve (from 1830 to 1995) is given for ope
n water marine fauna in excess of 2m long in the major axis of the body. Th
is curve has not yet closely approached its asymptote. Estimation by maximu
m Likelihood fit of a hyperbola suggests a maximum of some 47 species await
ing formal scientific description and an approximate current rate of descri
ption of one new species every 5.3 years. Consideration of the most recentl
y described species and recent observations by field workers suggests that
any imminent species descriptions are most likely to be cetaceans.