The winter run of chinook salmon (Oncorhynchus tshawytscha) on the Sac
ramento River in California (U.S.A.) was the first Pacific salmon stoc
k to be listed under the U.S. Endangered Species Act. We describe some
of the characteristics of Pacific salmon populations that require spe
cial consideration in viability analysis during development of a model
specific to the Sacramento River winter run of chinook salmon. Their
anadromous, semelparous life history lends to a special definition of
quasi-extinction. Random variability occurs primarily in spawning or e
arly life and is reflected in the ''cohort replacement rate,'' the num
ber of future spawners produced by each spawner; a measure consistent
with the common practice of characterizing salmon population dynamics
in terms of stock-recruitment relationships. We determine the distribu
tion of cohort replacement rates from spawning abundance data and life
-history information. We then show through simulations that replacing
this distribution with a lognormal distribution with the same mean and
variance has a negligible effect on extinction rates, but that approx
imating an indeterminate semelparous life history using a determinate
semelparous life history leads to inaccurate estimates of extinction r
ate. We derive delisting criteria that directly assess the effects of
habitat improvement by explicitly including population growth rate (ge
ometric mean cohort replacement rate greater than or equal to 1.0) in
addition to abundance ( greater than or equal to 10,000 female spawner
s). These delisting criteria allow for the uncertainty due to limited
accuracy in measuring spawner abundance and the finite number of sampl
es used to estimate population growth rate (estimates must be based on
at least 13 years of data, assuming spawner abundance is measured wit
h less than 25% error). Because the probability of extention will gene
rally be very sensitive to the uncertainty involved in meeting delisti
ng criteria, we recommend that similar uncertainty be accounted for in
future recovery criteria for all endangered species.